Count the total number of permutations of the word "calculus": there are 8 letters, hence 8! = 40,320 total permutations.
Count the number of permutations in which the two L's occur next to each other. Effectively we're now talking about words consisting of 7 letters, of which there are 7! = 5,040.
It follows that there are
8! - 7! = 35,280
words in which two L's do not appear next to each other.
The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population? Sample size Average height (Inches) 10 63 20 54 30 57 40 59 O A. 54 B. 63 C. 59 O D. 57
Answer:
59
Step-by-step explanation:
I answered got it wrong and found the answer
The height 59 inches in most likely closest to the average height of the population.
The correct answer is an option (C)
What is average?
"It is the ratio of the sum of all given observations to the total number of observations. "
For given question,
We have been given the average heights of four samples taken from a population of students.
The mean(average) of the average height of the population would be,
[tex]\bar{X}=\frac{63+54+57+59}{4}\\\\ \bar{X}=58.25\\\\\bar{X}\approx 59[/tex]
Therefore, the height 59 inches in most likely closest to the average height of the population.
The correct answer is an option (C)
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Friends have a party. Joyce invited 17 friends to a dinner party at her house last Friday
evening. She gave each guest a card with a number from 2 through 18, reserving the
number 1 for herself. When she had everyone paired off at the dinner table, she noticed
that the sum of each couples' number was a perfect square. What number did Joyce's
partner have?
Answer:
15
Step-by-step explanation:
Joyce reserved number 1 for herself
Of all the possible combinations,
1 and 15 is a perfect match for a perfect square
So,Joyce dinner partner was number 15.
What is an equation of the line that is parallel to y = 5- 3x and passes through (0, 2)?
Linear equations are often organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Parallel LinesParallel lines always have the same slopes and different y-intercepts.
Solving the QuestionWe're given:
The line [tex]y=5-3x[/tex]We must solve for a parallel line that passes through (0,2)Firstly, rearrange the given line in slope-intercept form:
[tex]y=-3x+5[/tex]
Remember, parallel lines always have the same slope. Therefore, our parallel line would look like this, with a (currently) unknown y-intercept (b):
[tex]y=-3x+b[/tex]
We're given that the line passes through the point (0,2). Because the y-intercept occurs when x=0, we now know that the y-intercept of the line is 2. Plug this into the equation:
[tex]y=-3x+2[/tex]
Answer[tex]y=-3x+2[/tex]
Althea recorded the amount she earned from T-Shirt sales each day for 14 days. She organized the data into the frequency table shown. Write a problem that can be answered by using the frequency table.
A problem that can be solved using the frequency table is "what is the total amount earned for the 14 days of the sale?".
What is a frequency table?A frequency table is used to display the frequencies of different outcomes in a sample.
Looking at the frequency table, total amount earned can be determinined by adding the multiplication in the third column together.
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Which of the following ordered pairs are solutions to the system of
inequalities? Check all that apply.
2x < y
y>7
O A. (8,2)
O B. (0,0)
O C. (5,5)
O D. (1,9)
O E. (17,50)
OF. (-1, 10)
Answer:
Options D, E, F
Step-by-step explanation:
Given the following system of linear inequalities in two variables:
[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
We can substitute the given ordered pairs to see whether they satisfy both linear inequalities.
Option A: (8, 2)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(8) < 2
⇒ 16 < 2 (False statement).
y > 7
⇒ 2 > 7 (False statement).
⇒ (8, 2) is not a solution to the system.
Option B: (0, 0)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(0) < 2
⇒ 0 < 2 (True statement).
y > 7
⇒ 0 > 7 (False statement).
⇒ (0, 0) is not a solution to the system.
Option C: (5, 5)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(5) < 5
⇒ 10 < 2 (False statement).
y > 7
⇒ 5 > 7 (False statement).
⇒ (5, 5) is not a solution to the system.
Option D: (1, 9)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(1) < 9
⇒ 2 < 9 (True statement).
y > 7
⇒ 9 > 7 (True statement).
⇒ (1, 9) is a solution to the system.
Option E: (17, 50)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(17) < 50
⇒ 34 < 50 (True statement).
y > 7
⇒ 50 > 7 (True statement).
⇒ (17, 50) is also a solution to the system.
Option F: (-1, 10)[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]
2x < y
⇒ 2(-1) < 10
⇒ -2 < 10 (True statement).
y > 7
⇒ 10 > 7 (True statement).
⇒ (-1, 10) is also a solution to the system.
Final Answer:Therefore, Options D, E, and F are the solutions to the given system of linear inequalities.
___________________________Keywords:Linear Inequalities in two variables
System of linear inequalities
________________________________
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If 35% of a number is 21 and 90% of the same number is 54, find 55% of that number.
How do you do this on Delta Math?It is for 7th grade math.
Answer:
Step-by-step explanation:
The number is 60:
Divide the amount and decimal of the percentage to be extracted
Case 1
[tex]\frac{21}{0.35} =60[/tex]
Case 2
[tex]\frac{54}{0.9} =60[/tex]
Now the 55% of this number is:
[tex]60(0.55)=33[/tex]
Hope this helps
In 2021, a married couple earned combined wages of $150,000. They have no children but made $18,000 of pre-tax 401(k) contributions. They will claim the standard deduction. Their state allows an exemption of $1000 per person for a total deduction of $2000. Their state tax is a flat rate of 5%. a. Estimate the amounts of Federal and State taxes they will owe.
The amounts of Federal and State taxes that the couple will owe will be $25100 and $7500 respectively.
What is a tax?A tax simply means a compulsory levy that's paid to the government by individuals and businesses.
In this case, the standard deduction for married couples that are filing jointly is $25100. Also, the state tax will be:
= 5% × $150000
= 0.05 × $150000
= $7500
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Glven: 3x + y = 1.
Solve for y.
y = 3x - 1
O y=-3x - 1
O y=-3x+1
Answer:
y = -3x + 1Step-by-step explanation:
3x + y = 1
⇔ -3x + 3x + y = -3x + 1 (we added -3x to both sides of the equation)
⇔ y = -3x + 1 ( because -3x + 3x = 0)
simplify～
[tex]\bold{54x + 16 \div 2 - 33(5 + 5)}[/tex]
thankyou～
54x+16÷2−33(5+5)
54x+16÷2-33×10
54x+8-33×10
54x+8-330
54x-322
54x=322
x=322/54
x=5.96
x=6(round fig)
hope it helps...!!!
[tex] \huge \mathbb \green{HEY \: THERE}[/tex]
[tex]54x + 16 \div 2 - 33(5 + 5) \\ \\ = 54x + 16 \div 2 - 33 \times 10 \\ \\ = 54x + 8 - 330 \\ \\ = 54x - 322 = 0 \\ \\ \implies 54x = 322 \\ \\ \implies \: x = \frac{322}{54} \\ \\ \implies x = 5.96[/tex]
[tex] \huge \mathbb \green{HOPE \: IT \: HELPS}[/tex]
another object has a mass of 360 g and a density of 9 g/cm3 what is the volume of the object
Answer:
40 square centimeters
Step-by-step explanation:
so if the density is 9 grams per square centimeter (for every 9 grams, there is 1 square centimeter):
360/9=40
40 cm squared
whats 9+10??
i need help pls im
and my assignment is overrdue in 5 mins!!
i have 29 assignments to do and theywill be due in 5 mins, they all ask the same question
whst 9+100
Answer:
Question #1: 9 + 10 = 19
Question #2: 9 + 100 = 109
Step-by-step explanation:
9 + 10 = 19 because if you have 10 blocks and you recived 9 blocks what is the total blocks you have now? if you counted 10 blocks and 9 blocks that you recived you would have 19 or if you counted by 10 with 9 fingers you will get 19.
9 + 100 = 109 because if you have 100 dolls and you recived 9 dolls from friends what is the total dolls you have now? if you counted 100 dolls and 9 dolls that you recived from friends you would have 109 dolls or if you counted by 100 with 9 fingers you will get 109.
Answer:
10+9=10
100+9=109
:D
Step-by-step explanation:
8
Write an equation to show
the smallest number of
train cars needed to carry
600 passengers if each
car can carry 48
passengers.
Answer:
13 train cars.
Step-by-step explanation:
Let x = number of trains
[tex]x = \frac{600passengers}{48passengers/car} \\\\x = 12.5cars[/tex]
But we can't have 0.5 of a train...
x ≈ 13cars
20 characters or more
It yields a straight line almost
(1,1)(3,2)Slope:-
m=2-1/3-1m=1/2But it's not accurate and somehow wrong as it's exponential and our slope must be in log form
But thing we get that slope is positive so association is positive
Option BAnswer:
b) Since the y-values increase as the x-values increase, the scatter plot shows a positive association.
Step-by-step explanation:
In a scatter plot:
The explanatory (independent) variable is along the x-axisThe response (dependent) variable is along the y-axisCorrelation measures how closely two variables are linked.
Positive correlation: response variable increases as the explanatory variable increasesNegative correlation: response variable decreases as the explanatory variable increasesThe given scatter plot shows the y-variable increasing as the x-variable increases. Therefore, this shows a positive correlation.
Therefore, the solution is:
b) Since the y-values increase as the x-values increase, the scatter plot shows a positive association.
What formula represents the perimeter of a square?
A) 4a
B) 2a+2b
C) 2pi r
D) (1/3)b h
Answer:
A
s+s+s+s
equals to 4s
therefore a+a+a+a
equals to 4a
If u spin the spinner 5 times what will be the best prediction possible for the number of times it will land on pink?
Answer:
1/5
Step-by-step explanation:
You know that they will spin it five times and it's a prediction which means that you don't have actual data so just one.
What is the area?????
1/2 h×b
1/2 (10×14)
1/2 (140)
70m²
hope it helps...!!!
What is a volume of a cube with the width of 7 inches?
Answer:
343
Step-by-step explanation:
I hope this helps ! Have a good day! <3 :)
Which ordered pair is in the solution set y-5>-3x
(4,-2)
(1,2)
(-1,-3)
(-2,4)
The ordered pair that satisfies the given inequality is ( 4,-2)
Step-by-step explanation:
By looking at the Graph, only the point ( 4,-2) marked by red dot lies on the shaded portion of the graph.
Please Mark this answer as brainliest, thank you :-)
Solve a+2b=12 for b
Help please
Answer:
Add '-2b' to each side of the equation.
a + 2b + -2b = 12 + -2b
Combine like terms: 2b + -2b = 0
a + 0 = 12 + -2b
a = 12 + -2b
Simplifying
a = 12 + -2b
Answer: b= 6-a/2
Step-by-step explanation:
Always try to isolate what you are looking for.
a+ 2b=12 (subtract a)
2b= 12-a (divide by 2 to isolate b)
b= 12-a/2 (divide both numbers by 2 to get the smallest fraction)
b= 6-a/2 [b is now isolated :) ]
Unit Test Unit Test Active 12 13 15 16 18 20 ► To find the quotient of 4 ÷ 1/5 × 4
Answer:
9/2
Step-by-step explanation:
Divide: 3/
5
: 2/
3
= 3/
5
· 3/
2
= 3 · 3/
5 · 2
= 9/
10
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/
3
is 3/
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - three fifths divided by two thirds = nine tenths.
The cost of a digital camera is $389.99. If Radio Shack offers a 25% discount and the tax is 6%, what is the final cost of the camera?
Answer:
$310.04
Step-by-step explanation:
you do 389.99 time .75 then you do the number you get from there times 1.06 to get your answer.
he following diagram, the ship is anchored to the ocean floor. The length of the rope attaching the
o the boat is 30m. The angle of elevation from the anchor to the ship is 39 degrees. Determine, to th
meter, the distance from the ship to the ocean floor
Determine, to the nearest meter, the distance o
rom the anchor to where the boat is perpendicular to ground.
The distance between the boat and the ocean's floor is 19m
How to get the distance from the ship to the ocean's floor?
We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.
We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).
Then we use the relation:
Sin(a) = (opposite cathetus)/(hypotenuse).
Replacing the values that we know, we get:
Sin(39°) = d/30m
sin(39°)*30m = d = 18.9m ≈ 19m
The distance between the boat and the ocean's floor is 19m.
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Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position
a(t) = -40, (O) = 18, S(O) = 0
The position function for the given object is:
s(t) = (-20 m/s^2)*t^2 + (18m/s)*t
How to get the position function?
Here we know that:
a(t) = -40 m/s^2
v(0) = 18 m/s
s(0) = 0m
So, we know the acceleration, the initial velocity, and the initial position.
To get the velocity equation we need to integrate the acceleration equation, we will get:
v(t) = (-40 m/s^2)*t + C
Where C is the constant of integration, which we know that is the initial velocity, then:
v(t) = (-40 m/s^2)*t + 18m/s
Now, to get the position equation, we need to integrate again:
s(t) = (1/2)*(-40 m/s^2)*t^2 + (18m/s)*t + s(0)
s(t) = (-20 m/s^2)*t^2 + (18m/s)*t
So, the position function, is: s(t) = (-20 m/s^2)*t^2 + (18m/s)*t
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What is 432,985 rounded to the nearest ten thousand?
HELP PLEASE!!!!!!
Answer:
430,000
Step-by-step explanation:
HGD
Answer:
430,000
Step-by-step explanation:
Higher Order Thinking A circle is
divided into 18 equal parts. How many
degrees is the angle measure for each
part? How many degrees is the angle
measure for 5 of those parts? Break apar
18 to solve. Explain.
Answer:
Below n bold.
Step-by-step explanation:
The angle in each part = 360/18 = 20 degrees.
For 5 parts the angle = 5*20 = 100 degrees.
The value of Σfd is 250, A= 25, number of observations are 12 and width of class interval is 6 then arithmetic mean is
Such sentences that convey strong emotion or excitement are called an exclamatory sentence.
The given sentence is an assertive sentence which shows sadness. Use exclamatory mark to change assertive into an exclamatory sentence.
A ski resort report it 53.9 inches of snow in November 7 3.75 inches of snow in December and 95.8 inches of snow in January what is the average amount of snow that fell for three months
Answer:
74.483
Step-by-step explanation:
to get the mean, or the average. you add up all the numbers and divide them by how many there are.
53.9 + 73.75 + 95.8 = 223.45 ÷ 3 = 74.483
What is the standard deviation of the population: Use the stdevp function in the Desmos graphing calculator.
3.52
8.6
4.8
10.1
The standard deviation of the given data is 3.5
How to calculate the standard deviation of data?Standard deviation is used to determine the rate of dispersion of data with respect to the mean.
The formula for calculating the standard deviation of data is given as:
[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{n-1} }[/tex]
Given the data below:
10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5
Using the stdevp calculator the standard deviation is calculated as:
σ = √12.405
σ = 3.5
Hence the standard deviation of the given data is 3.5
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Read the excerpt from a speech that British Prime Minister Winston Churchill made shortly after Japan bombed Pearl Harbor. What is Churchill’s intention with this part of the speech.
Answer: B
Step-by-step explanation: Churchill reminds the world that there is still a war, and still many people suffering. But he hopes that they can set aside their evil ways, and celebrate Christmas.
Please help! I will give Brainliest!!!
Here are 3 receipts for meals at the same restaurant. Fill in the missing values for each recipe.
Answer:
Burger: 9.00
18%tip: 2.16
total with tip: 14.16
Salad: 8.00
Tatal: 11.00
Total with tip: 12.00
Water: 1.19
total: 9.19
18% tip: 2.02
Step-by-step explanation:
I am unsure of the salad pretty sure it's 8 dollars but I am unsure
I've attached my written workings :)