PLEASE HELP I NEED HELP

Question 1
(Comparing Data LC)

The histograms display the frequency of temperatures in two different locations in a 30-day period.

A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.

A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.

When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?

IQR, because Sunny Town is skewed
IQR, because Desert Landing is symmetric
Range, because Sunny Town is skewed
Range, because Desert Landing is symmetric

Question 2
(Comparing Data MC)

The data given represents the number of gallons of coffee sold per hour at two different coffee shops.


Coffee Ground
1.5 20 3.5
12 2 5
11 7 2.5
9.5 3 5
Wide Awake
2.5 10 4
18 4 3
3 6.5 15
6 5 2.5


Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Wide Awake, with a median value of 4.5 gallons
Wide Awake, with a mean value of about 4.5 gallons
Coffee Ground, with a mean value of about 5 gallons
Coffee Ground, with a median value of 5 gallons

Question 3

The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.

Which drive-thru is able to estimate their wait time more consistently and why?

Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range

Question 4
The line plots represent data collected on the travel times to school from two groups of 15 students.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above18. There are four dots above 12. The graph is titled Bus 14 Travel Times.

Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.

Bus 47, with an IQR of 8
Bus 14, with an IQR of 6
Bus 47, with a range of 8
Bus 14, with a range of 6

Question 5

The data given represents the height of basketball players, in inches, on two different girls' teams.


Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60


Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Champs, with a mean of about 66.4 inches
The Allstars, with a median of about 68 inches
The Champs, with a median of about 67 inches

Question 6
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.


Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside


Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

a. ln 7 = y in exponential equation is e^y = 7

b. e² = x in logarithm function is log x base e = 2

What is exponential and logarithmic function?

An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.

The logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as. For x > 0 , a > 0, and a ≠1, y= loga x if and only if x = a^y

Therefore,

ln 7 = y

using inverse of ln

7 = e^y

and;

e² = x

using logarithm function as inverse

log x base e = 2.

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The function representing the car's value after t years is V(t) = [tex]$10,000 \times (1 - 0.4231)^4t[/tex]. The percentage rate of change per quarter is approximately 57.69%.

[tex]V(t) = $10,000 \times 0.2835^t[/tex]

To represent the value of the car after t years, we can use the following formula:

V(t) = V(0)  x (1 - r)⁴t

where V(0) is the car's initial value ($10,000), r is the quarterly rate of change, and t is the number of years.

To find the quarterly rate of change, we can use the annual rate of change of 18%:

r = (1 - 0.18)^(1/4)

r ≈ 0.4231

Therefore, the function to represent the value of the car after t years is:

[tex]V(t) = $10,000 \times (1 - 0.4231)^4t\\V(t) = $10,000 \times 0.2835^t[/tex]

To determine the percentage rate of change per quarter, we can use the formula:

q = (1 - r) x 100%

q = 57.69%

Therefore, the percentage rate of change per quarter is approximately 57.69%.

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t-value (-4.38) is greater than the absolute value of

the critical t-value (1.990), we can reject the null hypothesis and conclude

that there is convincing evidence that the mean reading level for health-

related pages differs for Wikipedia and WebMD.

To test if there is convincing evidence that the mean reading level for

health-related pages differs for Wikipedia and WebMD, we can use a

two-sample t-test.

Let's set up the null and alternative hypotheses:

Null hypothesis: The mean reading level for health-related pages is the

same for Wikipedia and WebMD (μ1 = μ2)

Alternative hypothesis: The mean reading level for health-related pages

differs for Wikipedia and WebMD (μ1 ≠ μ2)

We will use a significance level of 0.05, which means that we are willing

to accept a 5% chance of making a Type I error (rejecting the null

hypothesis when it is actually true).

We can use the following formula to calculate the test statistic:

t = (x_1 - x_2) / (s_pool × √(2/n))

Where:

x_1 and x_2 are the sample means

s_pool is the pooled standard deviation, calculated as:

[tex]\sqrt{ (((n1-1)\timess1^2 + (n2-1)\timess2^2) / (n1+n2-2))}[/tex]

n is the sample size for each group

Plugging in the values, we get:

x1 = 26.2

x2 = 43.6

s1 = 14.2

s2 = 19.9

n1 = n2 = 40

s_pool = [tex]\sqrt{(((40-1)\times14.2^2 + (40-1)\times19.9^2) / (40+40-2))} = 17.0[/tex]

t = (26.2 - 43.6) / (17.0 × √(2/40)) = -4.38 (rounded to two decimal places)

Looking up the critical t-value with degrees of freedom = 78 (df = n1 + n2 - 2), and a significance level of 0.05, we get:

t_critical = ±1.990

Since our calculated t-value (-4.38) is greater than the absolute value of

the critical t-value (1.990), we can reject the null hypothesis and conclude

that there is convincing evidence that the mean reading level for health-

related pages differs for Wikipedia and WebMD.

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Answer:

Step-by-step explanation:

(-3,4)

Answer:

La probabilidad de sacar dos cartas rojas sin reemplazo de una baraja con 10 cartas rojas, 4 cartas azules y 2 cartas amarillas es 3/8 o 0.375.

Step-by-step explanation:

1. Determina la probabilidad de sacar una carta roja del mazo:

P(Rojo) = Número de Tarjetas Rojas / Número Total de Tarjetas

P(Rojo) = 10 / (10 + 4 + 2)

P(Rojo) = 10 / 16

P(Rojo) = 5 / 8

2. Determine la probabilidad de sacar una segunda tarjeta roja después de sacar la primera carta. Como ya se sacó una carta roja, solo quedan 9 cartas rojas en el mazo, y el número total de cartas restantes es 15:

P(Roja en el segundo sorteo) = Número de tarjetas rojas restantes / Total de tarjetas restantes

P (Rojo en el segundo sorteo) = 9 / 15

3. Multiplique la probabilidad de sacar una tarjeta roja por la probabilidad de sacar una segunda tarjeta roja después de sacar la primera para obtener la probabilidad de sacar dos tarjetas rojas sin reemplazo:

P(Dos tarjetas rojas) = ​​P(Roja) * P(Roja en el segundo sorteo | Roja en el primer sorteo)

P(Dos tarjetas rojas) = ​​(5/8) * (9/15)

P(Dos tarjetas rojas) = ​​3/8 o 0,375

Por lo tanto, la probabilidad de sacar dos cartas rojas sin reemplazo del mazo es 3/8 o 0.375.

There are 8 coins.

In my bag, one coin is worth $50. The rest are worth $10. The average value of all the coins in my bag is $15. How many coins are in my bag?

Let's say that there are x $10 coins in the bag. Then, the total value of these coins would be 10x.

We also know that there is one $50 coin in the bag, so the total value of all the coins in the bag is 10x + 50.

The average value of all the coins in the bag is $15, so we can set up the following equation:

(10x + 50)/(x + 1) = 15

Multiplying both sides by x+1, we get:

10x + 50 = 15(x + 1)

Expanding the right side, we get:

10x + 50 = 15x + 15

Subtracting 10x and 15 from both sides, we get:

35 = 5x

Solving for x, we get:

x = 7

So there are 7 $10 coins in the bag and 1 $50 coin, for a total of 8 coins in the bag.

A game that uses exponent rules and scientific notation on paper are given below as exponent explorer.

We have,

A game that incorporates exponent rules and scientific notation:

Title: Exponent Explorer

Objective: The goal of the game is to become an "Exponent Explorer" by solving a series of challenges related to real-world phenomena that involve exponent rules and scientific notation.

Materials: Pencils, paper, and a list of challenges.

Instructions:

The game is played in rounds, with each round consisting of a challenge.

Before starting the game, explain the exponent rules and scientific notation to the players, and provide examples of how they are used in real-world phenomena.

Start the first round by presenting a challenge to the players. Each challenge should involve a real-world phenomenon, such as the size of the universe, the speed of light, or the population of a city. The challenge should require players to use exponent rules and/or scientific notation to solve a problem related to the phenomenon.

Players work individually or in teams to solve the challenge. They must show their work and write their answer in scientific notation.

After a set amount of time, reveal the correct answer and award points to the players or teams that solved the challenge correctly.

The number of points awarded can vary based on the difficulty of the challenge.

Play additional rounds with new challenges, and continue awarding points.

The player or team with the most points at the end of the game is the winner and becomes an "Exponent Explorer."

Example Challenge:

Challenge:

The population of New York City is approximately 8,336,817.

Write this number in scientific notation, and then determine how many times larger it is than the population of San Francisco, which is approximately 883,305.

Solution:

8,336,817 = 8.336817 x 10^6

To find how many times larger New York City's population is than San Francisco's, divide the two numbers:

8,336,817 / 883,305

= 9.44

New York City's population is approximately 9.44 times larger than San Francisco's population.

Thus,

A game that uses exponent rules and scientific notation on paper is given above.

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The area of the shaded portion as shown in the diagram is 118.74 ft².

Area is the region bounded by a plane shape.

To calculate the area of the shaded portion, we use the formula below

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the area of the shaded portion is 118.74 ft².

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The value for x is 10. The solution has been obtained by using the triangle similarity theorem.

What is triangle similarity theorem?

The triangle that comes from the intersection of two sides of a triangle by a segment parallel to one of the sides is equivalent to the original triangle, and the segment that splits the two sides it intersects is proportionate.

In the given figure, a line is parallel to the base of the triangle.

So, as per triangle similarity theorem, the other sides are proportional to each other.

From this, we get

⇒ [tex]\frac{12}{x}[/tex] = [tex]\frac{18}{15}[/tex]

Now, we will solve the equation for x to obtain the required value.

On solving, we get

⇒ 18x = 12 * 15

⇒ 18x = 180

⇒ x = 10

Hence, the value of x is 10.

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Answer:

a) [tex] \frac{4}{5} [/tex]

b) [tex] \frac{3}{35} \: \: larger[/tex]

.

Step-by-step explanation:

Given:

[tex] \frac{4}{5} \: and \: \frac{5}{7} [/tex]

a) In order to find the larger fraction, we have to make their denominator the same (it's 35 (multiply both fractions' denominators) in this case)

[tex] \frac{4 \times 7}{35} = \frac{28}{35} [/tex]

[tex] \frac{5 \times 5}{35} = \frac{25}{35} [/tex]

[tex] \frac{28}{35} > \frac{25}{35} [/tex]

.

b) In order to find how much larger it is, we have to subtract the smaller fraction from the larger one (find the difference):

[tex] \frac{28}{35} - \frac{25}{35} = \frac{3}{35} [/tex]

Step-by-step explanation:

If a polynomial function has roots at x=-5 and x=√3, it means that it can be factored as follows:

h(x) = a(x+5)(x-√3)

where 'a' is a constant coefficient that represents the leading term of the polynomial function.

To find the value of 'a' and express the polynomial function in standard form, we can multiply the factors and simplify as follows:

h(x) = a(x+5)(x-√3)

h(x) = a(x^2 - √3x + 5x - 5√3)

h(x) = a(x^2 + 2x√3 - 5√3)

To find the value of 'a', we can substitute one of the given roots into the equation and solve for 'a'. Let's choose x = -5:

h(-5) = a((-5)^2 + 2(-5)√3 - 5√3)

h(-5) = a(25 - 10√3 - 5√3)

Since x=-5 is a root, h(-5) = 0. Therefore:

0 = a(25 - 15√3)

a = 0 or a = (15√3)/25 = (3√3)/5

Since the coefficient 'a' cannot be zero, the polynomial function h(x) of lowest degree in standard form is:

h(x) = (3√3/5)(x^2 + 2x√3 - 5√3)

h(x) = (3√3/5)x^2 + (6/5)√3x - 3√3

Answer:

16/25

Step-by-step explanation:

64/100 which simplifies to 16/25 if the asked for the simplified answer

The UCR (Uniform Crime Reporting) is B. not a truly reliable measure.

The UCR is a program established by the FBI in 1930 to collect and analyze crime statistics from law enforcement agencies across the United States. Although it provides useful data and insights into crime trends, it is not without its limitations. One significant issue with the UCR is that it relies on voluntary reporting from law enforcement agencies, meaning that some areas may not provide complete or accurate data. This can lead to an underrepresentation of certain crimes or inconsistencies in reporting across jurisdictions.

Another limitation is that the UCR only includes reported crimes, excluding any unreported criminal activity. This means that the data does not necessarily provide a comprehensive picture of all crimes occurring in a given area. Additionally, the UCR uses a hierarchy rule, meaning that if multiple crimes are committed during a single incident, only the most severe crime is counted. This can result in an undercounting of less severe but still significant crimes.

In summary, although the UCR provides valuable information on crime trends and patterns, it is not a truly reliable measure due to its reliance on voluntary reporting, exclusion of unreported crimes, and hierarchy rule. Therefore, the correct option is B.

The question was incomplete, Find the full content below:

it is fair to say that the ucr is: group of answer choices

A. A mutually exclusive measure

B. Not a truly reliable measure

C. An exhaustive measure

D. All of the above

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Answer:

1) x = 6

2) x = 2√10 = 6.3

3) z = 19

4) x = 1

Step-by-step explanation:

1)

[tex]10x = 5(12)[/tex]

[tex]10x = 60[/tex]

[tex]x = 6[/tex]

2)

[tex] {x}^{2} = 10(4)[/tex]

[tex] {x}^{2} = 40[/tex]

[tex]x = 2 \sqrt{10} = 6.3[/tex]

3)

[tex](14 + 4)(14) = (z + 9)(9)[/tex]

[tex]18(14) = 9(z + 9)[/tex]

[tex]2(14) = z + 9[/tex]

[tex]28 = z + 9[/tex]

[tex]z = 19[/tex]

4)

[tex]2(4) = 8x[/tex]

[tex]8 = 8x[/tex]

[tex]x = 1[/tex]

The angles with a common reference angle of 340° are:

To find an angle in each quadrant with a common reference angle of 340°, we need to determine the reference angle of 340° and then find angles in each quadrant with that same reference angle.

The reference angle of 340° is found by subtracting the nearest multiple of 360°, which is 0°, from 340°. Therefore, the reference angle of 340° is 20°.

Quadrant I:

To find an angle in quadrant I with a reference angle of 20°, we simply take the reference angle itself, which is 20°.

Quadrant II:

To find an angle in quadrant II with a reference angle of 20°, we need to add the reference angle to 180°, which gives us 200°.

Quadrant III:

To find an angle in quadrant III with a reference angle of 20°, we need to subtract the reference angle from 180°, which gives us 160°.

Quadrant IV:

To find an angle in quadrant IV with a reference angle of 20°, we need to subtract the reference angle from 360°, which gives us 340° (which is the original angle we started with).

Therefore, the angles in each quadrant with a common reference angle of 20° are:

The complete question is:-

Find an angle in each quadrant with a common reference angle with 340°, from 0°≤θ<360°

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let us consider x as the number of stools and y be the number of recliners

therefore, total seats [tex]\leq[/tex] 50

= x + y [tex]\leq[/tex] 50

then, owner wants a least 20 of the seats to  be stools

x [tex]\geq[/tex] 20

the rest are the number of recliners.

the equation of inequality is x + y [tex]\leq[/tex] 50

x + y =50

if x = 0 and y = 50

if y = 0 and x = 50

therefore the joining points are (0, 50) and ( 50, 0) in the coordinate plan

0+0 [tex]\leq[/tex] 50

then the shaded region will contain the origin

Graphing of x [tex]\geq[/tex] 20

shading the region left side x = 20

Hence, number of materials can never be negative.

therefore,

x [tex]\geq[/tex] 0 and y [tex]\geq[/tex] 0

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Answer:

Yes, the students' reasoning is correct. The percent of a part compared to the whole is calculated by dividing the part by the whole and multiplying the result by 100. Since the part is much less than the whole, the result of the division will be a very small number, and when multiplied by 100, it will be an even smaller number, which is the percentage.

Step-by-step explanation:

1. Divide the part by the whole to calculate the fraction that the part is of the whole.

2. Multiply the result by 100 to convert the fraction to a percentage.

3. Since the part is much less than the whole, the result of the division will be a very small number, and when multiplied by 100, it will be an even smaller number, which is the percentage.

The appropriate null hypothesis for this study is that there is no significant difference between the mean weight of U.S. adults before and after the Thanksgiving holiday period.

The null hypothesis is a statement that there is no significant difference between two groups being compared. In this case, the two groups are the weight of U.S. adults before and after the Thanksgiving holiday period. The null hypothesis assumes that there is no significant difference between these two groups.

To test this hypothesis, the researchers will collect data on the weight of U.S. adults before and after Thanksgiving and compare the mean weight of the two groups. If the mean weight after Thanksgiving is significantly different from the mean weight before Thanksgiving, the null hypothesis will be rejected, and the researchers can conclude that there is strong evidence that the weight of U.S. adults changes between Thanksgiving and January.

Therefore, the appropriate null hypothesis for this study is that there is no significant difference between the mean weight of U.S. adults before and after the Thanksgiving holiday period.

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Answer:

1 3/5

Step-by-step explanation:

[tex](2\frac{2}{3} )(\frac{3}{5})= (2\frac{10}{15})( \frac{9}{15} )= (\frac{40}{15} )( \frac{9}{15} )= \frac{360}{225}[/tex]

Divide by 45 to simplify

[tex]\frac{8}{5} = 1\frac{3}{5}[/tex]

The area of the shaded square is 4 square centimeters, and the radius of the circle is approximately 1.41 cm.

To find the area of the shaded square and the radius of the circle, we will follow these steps:
Step 1: Identify the dimensions of the square.
From the student question, we know that the square has sides of 2 cm each.
Step 2: Find the area of the square.
The area of a square can be calculated using the formula:

Area = side × side.
In this case, the area of the square is:

2 cm × 2 cm = 4 square centimeters.
Step 3: Find the diagonal of the square.
The diagonal of a square can be found using the Pythagorean theorem:

diagonal² = side² + side².
In this case, the diagonal² = 2 cm² + 2 cm² = 4 cm² + 4 cm² = 8 cm².
Taking the square root of both sides, we get: diagonal = √8 cm ≈ 2.83 cm.
Step 4: Find the radius of the circle.
Since the circle is inscribed in the square, its diameter is equal to the diagonal of the square.

Thus, the radius of the circle is half the diagonal.
Radius = diagonal ÷ 2 ≈ 2.83 cm ÷ 2 ≈ 1.41 cm.

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Answer:

D

Step-by-step explanation:

(my trick to calculate percentage) to calculate 1% of 70 we do 70/100= 0.7, then we multiply 0.7 with the percent which is 80, so 0.7*80=56

therefor the answer is 56!

Answer:

D. 56

Step-by-step explanation:

80% can also be said as 80/100 and then multiply that with the total value of the thing you need to find.

So in this case its 70.

Now 70x(80/100) [remember the BODMAS rule] solve the bracket first.

80/100 = .8 x 70 = 56

hence the option D

Answer:

12.74

Step-by-step explanation:

To find the diameter of a circle with a given circumference, you can use the formula:

Circumference = π x diameter

where π (pi) is a mathematical constant approximately equal to 3.14159.

In this case, the circumference is given as 40. So we can rearrange the formula to solve for the diameter:

diameter = Circumference / π

Substituting the given values, we get:

diameter = 40 / π

To get the answer to the nearest hundredth, we can use a calculator or estimate π to a few decimal places. Let's use π ≈ 3.14.

diameter = 40 / 3.14

diameter ≈ 12.74

Therefore, the diameter of the circle to the nearest hundredth is approximately 12.74.

Step-by-step explanation:

Circumference = pi  * d

circumference / pi = d  =  40 / pi = 12.73 units

Answer:

To find 4% of 975, we can use the percent equation:

x = (4/100) * 975

Simplifying this expression, we get:

x = 0.04 * 975

Multiplying 0.04 and 975, we get:

x = 39

Therefore, 4% of 975 is 39.

y = 3x + 6 is the equation of the line with gradient 3 and passing through the point (-1,3).

The equation of a straight line with gradient m and passing through the point (x₁, y₁) is given by:

y - y₁ = m(x - x₁)

In this case, we have a gradient of m = 3 and a point (x₁, y₁) = (-1, 3). Plugging in these values, we get:

y - 3 = 3(x - (-1))

Simplifying this equation, we get:

y - 3 = 3x + 3

Adding 3 to both sides, we get:

y = 3x + 6

Therefore, the equation of the line with gradient 3 and passing through the point (-1,3) is y = 3x + 6.

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Two clusters can be seen in the scatterplot, and their factors are connected. Y increases, but the growth is gradual, as x increases in the bottom one. As x rises in the upper cluster, y rises as well, but more quickly.

A collection of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can display the degree of link, if any,between the values of measured quantities or phenomena, scatter plots are crucial in statistics. Scatter graphs are used for showing data points on an axis that is vertical and horizontal to show how much one element influences another.

Data visualisation that demonstrates the connection between various variables is known as a scatter plot. To show this data, different components of information are positioned between an x- and y-axis. This type of data visualisation takes its name from the way that each of the information points appears to be "spread" across the graph.

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The complete question attached below,

a) The probability of 6 is 1/3.

b) Probability of sum of an even numbers = 1/2.

c) Probability of getting a 2 on at least one dice = 11/36.

a) The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.

Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.

Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so.

Trial: To conduct a trial is to conduct a random experiment.

It is given to us that a die is rolled

Then, the sample space = {1,2,3,4,5,6}

We are given that it is an even number.

The, we have left with reduced sample space is {2,4,6}

Thus, the probability of 6 is 1/3.

b) So, the number of possibilities of the sum of even numbers is 18.

The probability of an event = number of favorable outcomes/ total number of outcomes.

Probability of sum of an even numbers = 18 / 36 = 1 / 2.

c) Probability of getting a 2 on at least one dice = Favorable outcomes / Total outcomes = 11 / 36 So, P (getting 2 at least on 1 dice) = 11/36.

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A histogram of the average age for every possible combination of cases from the population is referred to as a scatter plot

A scatter plot matrix is a plot that presents all feasible scatter plots for a given collection of variables in a matrix structure. It is helpful for investigating the connections between related factors in a collection. A scatter plot matrix is not a histogram that shows the average age for every mix of instances drawn from the community.

Instead, it is referred to as a sampling distribution or a distribution of sample means. This kind of histogram displays the range of means for all conceivable community samples of a specific number. It is a crucial idea in statistics because it aids in understanding a population's characteristics based on a subset of data.

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Answer:

1/21

Step-by-step explanation:

you do 1/7 divided by 3, because she distributes 1/7 liters of juice to 3 students. We can infer that its dividing because it says distribute.

H1 is a treatment that affects the patient's memory. Alternative hypothesis H1 indicates that the treatment affected the patient's memory.

To test this hypothesis, the researcher should compare the test result to the population mean of 50. Researchers will use a one-tailed t-test with a significance level of 0.01.

If the calculated t-value is greater than the critical value, the null hypothesis is rejected and the alternative hypothesis is accepted.

To perform a t-test, the researcher must calculate the mean, standard deviation, and t-value of the patient's test scores. The average is calculated by dividing the sum of the test scores by the number of test scores. The standard deviation is calculated as the square root of the sum of the squared deviations from the mean divided by the number of test scores minus one.

The t-value is calculated by dividing the difference between the mean of the patient's test scores and the population mean by the standard deviation of the patient's test scores, multiplied by the square root of the number of test scores.

If the calculated t-value is greater than the critical value, you can reject the null hypothesis and accept the alternative hypothesis that the treatment did indeed affect the patient's memory.

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Answer:

42 students would be expected to pick an orange

Rounding to the nearest whole number, the previous number of Covid patients before 2 hours was 39,991.

A population's growth rate gauges how much a quantity's worth has increased in percentage terms.

To find the number of Covid patients before 2 hours, we need to apply the 5% growth rate for 2 hours to the current number of patients (44,100 at 8:00 am).

First, we can find the growth factor by adding 1 to the percentage growth rate expressed as a decimal:

1 + 0.05 = 1.05

Next, we can raise the growth factor to the power of the number of hours of growth:

1.05² = 1.1025

Finally, we can divide the current number of patients by the growth factor to find the previous number of patients:

44,100 / 1.1025 = 39,990.91

Rounding to the nearest whole number, the previous number of Covid patients before 2 hours was 39,991.

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