A school administrator wants to know what proportion of teachers in their state have a Master's degree. The administrator takes an SRS of 100100100 teachers from a statewide database containing every teacher, and they find 555555 teachers in the sample have a Master's degree. The administrator wants to use this data to construct a one-sample zzz interval for a proportion.Which conditions for constructing this confidence interval did their sample meet

Answers

Answer 1

When we construct the confidence interval their sample must have some conditions which are as follows,

The data should be a random sample from the population of interest.np^ ≥ 10 n(1 - p^) ≥ 10Individual observations can be taken as independent.

Therefore , these are the conditions which the administrator should use to construct a one-sample z interval for a proportion.

When two ratios are equivalent to each other , they are said to be in a state called proportion. The proportion formula is used to see whether  the given ratios or fractions are equal or not . The proportion formula can be given as, The product of means is equal to the the product of extremes. This can be written as ad = bc.

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Related Questions

A rental car company charges a fixed fee of $30 + 0.05 per mile. Let’s see represent the total cost of renting a car and driving a.m. miles right in equation that could be used to find the total cost of the renting car and driving it any number of miles

Answers

Answer:

C = $30 + $0.05M

Step-by-step explanation:

We know that renting the car will cost $30, regardless of whether you drive it any where or not

So far

C = $30

On the end of this equation, we want to be able to add another value, that can vary depending on the quantity of M (number of miles)

The second value is $0.05 multiplied by how many miles are travelled

Also expressed as $0.05M

Finally, just fix the two parts together

Answer:

Step-by-step explanation:

We know that renting the car will cost $30, regardless of whether you drive it any where or not

So far

C = $30

On the end of this equation, we want to be able to add another value, that can vary depending on the quantity of M (number of miles)

The second value is $0.05 multiplied by how many miles are travelled

Also expressed as $0.05M

Finally, just fix the two parts together

C = $30 + $0.05M

Blair bought 3 1/6 pounds of nuts and 1 5/6 pounds of milk, what is total weight of the nuts and milk that Blair bought

Answers

Answer:

Step-by-step explanation:

  3 [tex]\frac{1}{6}[/tex]

+  1 [tex]\frac{5}{6}[/tex]

_______

4 [tex]\frac{6}{6}[/tex]   =  5 pounds

[tex]\frac{6 }{6}[/tex]  = 1  add this to the 4 and you have 5 pounds total

6th grade math help me please and thank you
What should I do FIRST to solve this problem?
5f - 7 = 23

divide by 5 on each side

subtract 7 from each side

subtract 23 from each side

add 7 to each side

Answers

Answer:

add 7 to both sides

then you are left with 5f=30

divide by 5 on both sides

you get f=6

Step-by-step explanation:

The model represents an equation.
What is the solution for this equation?

Answers

The answer is x = 1

As the sides are balanced so there has to be 9 blocks on each side

Someone please help me with this algebra

Answers

first answer:68
second answer: 112

i just followed the formulas given on the key


also pls give brainliest

NEED HELP QUICK PLEASE
A line passes through the point (-8, -1) and has a slope of 3/4
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 3/4x + 5

Step-by-step explanation:

Slope intercept form is represented by the formula y = mx + b where m is the slope and b is the y-intercept. You were given the slope, but to write the equation, you also need the y-intercept.

First, plot the point they gave you (-8, -1) on a graph. Then use the rise over run of the slope (rise 3 and run 4) to find the next points until x = 0 (where the line crosses the y-axis). As you can see in the image, I plotted the points. 5 is the y-intercept because it is the y value on the line when x = 0.

So with the slope 3/4 and the y-intercept of 5, you can substitute the values and get your equation:

y = mx + b

y = (3/4)x + (5)

y = 3/4x + 5

Jane had 27 stickers two weeks ago. Then she bought stickers every day for two weeks. She bought 3 stickers two weeks ago, and on each day after that, Jane bought two more stickers than she had bought on the previous day. How many stickers does Jane have now

Answers

Answer:

Jane has 251

Step-by-step explanation:

Stickers Initially = 27 Jane bought stickers on 1st day = 3 Remaining days = 13 Each next day she bought 2 more stickers than the previous day, so: Stickers bought in the last 2 weeks (14 days) = n+(n+2)+(n+2+2)+(n+2+2+2)+.............+(n+2(13))here n =3 So:Stickers bought in the last 2 weeks (14 days) = 3+5+7+9+11+13+15+17+19+21+23+25+27+29Stickers bought in the last 2 weeks (14 days) = 224 At Present Jane has Total Stickers = Stickers Initially+ Stickers bought in the last 2 weeks (14 days)At Present Jane has Total Stickers = 27+224

ILL GIVE BRAINLIEST TO WHOEVER HELPS ME!

Answers

Answer:

I believe that the answer is C

Step-by-step explanation:

Which postulate proves the two
triangles are congruent?
A. SAS
B. SSS
C. HL
D. none

Answers

Answer:

D. none

Step-by-step explanation:

The figure shows two triangles. We see a right angle in each triangle. All right angles are congruent. One angle of one triangle is congruent to one angle of the other triangle. We are not given any other information about congruent sides or other congruent angles. Therefore, there is not enough information to prove the triangles are congruent.

Answer: none

Question 10 of 10
PLEASE PLEASE HELP ME
Which of the following will form the composite function GFX)) shown
below?
GFX)) = 3(x+1)
A. Fx) = x2 and GCX) = 3x + 1
O B. AX) = 3x and GCx) = 1
O C. Fx) = 3x + 1 and G(x) = x2
O D. Fx) = x + 1 and G(X) = 3x2
SUBMIT

Answers

B cause gfx shows the whole thing

Mr. boyd spent too much time on his speech and was late for the prom. He needs to be at the prom at 17:15 to help with the preparations. If he lives 20 km away and he leaves home at 16:40, what speed should he drive to get there on time. Allow him to park for 10 minutes and walk. Round your answer to the nearest kilometers per hour.

Answers

Answer:lll

Step-by-step explanation:

solve for x. solve for x.

Answers

Answer:

x=3

Step-by-step explanation:

Assuming both are congruent,

5x-8 = 2x+1

  +8         +8

5x=2x+9

-2x -2x

3x=9

x=3

A reflection over a vertical line maps ΔJKL to ΔPQR. Which best compares the perimeters of ΔJKL and ΔPQR?

Answers

Answer:

The perimeters of ΔJKL and ΔPQR are equal

Step-by-step explanation:

Given

[tex]\triangle JKL[/tex] to [tex]\triangle PQR[/tex]

Reflection over a vertical line

Required

The perimeter of both triangles

When a shape is transformed to another through reflection, the side lengths and angle of both shapes will be the same.

Hence, the side lengths of ΔJKL and ΔPQR  are the same

This means that the perimeter of both shapes will be the same


Find f(-2) for f(x) = 2 x 3x
O A. -18
O B. 2/9
O c. 1/18
O D. -36

Answers

Step-by-step explanation:

f(x) = 2 x 3x

2 x 3x

2 (-2) 3(-2)

-4-6=-10

Step-by-step explanation:

f(x)=2 x 3x

2 x 3x

2(-2) 3 (-2)

-4 - 6 = -10

I don’t know I just need the answer

Answers

5.6 I think but I’m not 100% sure just use

Jello someone please please help me
No links or files

Answers

Answer: question number 2 is A dot plot shows data with small sets of numbers and a histogram shows data with large sets of numbers  

Step-by-step explanation:

Help LOL I don’t understand

Answers

Answer:

D

Step-by-step explanation:

Plsss helppp

100 points extra and brainleist

NO LINKS

Answers

Answer:

Not sure if this is right but 2.

Step-by-step explanation:

Subtract 37,746ft (at 60 second mark) by 9,872ft (at 30 second mark) and as it asks for per second, 37,746-9,874=27,872 27,872/30= 929.1

A manufactor makes integrated circuits that each have a resistance layer with a target thickness of 200 units. A circuit won't work well if this thickness varies too much from the target value. These thickness measurements are approximately normally distributed with a mean of 200 units and a standard deviation of 12 units. A random sample of 17 measurements is selected for a quality inspection. We can assume that the measurements in the sample are independent. What is the probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value?Choose 1 answer:A) 0.16B) 0.32C) 0.40D) 0.80E) We cannot calculate this probability because the sampling distribution is not normal.

Answers

The probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value is 0.15 + 0.15 = 0.30 which corresponds to the answer B) 0.32.

What is the Central Limit Theorem?

The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

We can use the Central Limit Theorem to determine that the sampling distribution of the mean thickness of a random sample of size 17 from a population with a mean of 200 units and a standard deviation of 12 units will be approximately normal with a mean of 200 units and a standard deviation of (12 units)/√17 = 2.8 units.

Given that the mean thickness in these 17 measurements x is farther than 3 units away from the target value, we can use the standard normal table to find the probability.

Let's call X = mean thickness,

if X > 203, we have P(X>203) = P(Z> (203-200)/2.8) = P(Z>1.071) = 0.15

if X < 197, we have P(X<197) = P(Z< (197-200)/2.8) = P(Z<-1.071) = 0.15

Hence, the probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value is 0.15 + 0.15 = 0.30 which corresponds to the answer B) 0.32.

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A large shipping container holds 1,512 ft3. The base measures 12 ft by 14 ft. What is the height of the shipping container?

Answers

Answer:

9 ft

Step-by-step explanation:

assuming the 3 was a mistake T'T volume is l x w x h so if the base is l x w then 12 x 14 (168) is the base then divide the volume from the base (1512 / 168) the answer is 9 ft

Given both, find (f-g)(x)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Functions.

Here, we are given with,

f(x) = 4x + 4 and g(x) = 5x - 8

hence, now we have time get (f-g) (x)

so we get as,

==> (f-g) (x) ==> f(x) - g(x)

===> 4x + 4 - (5x - 8)

==> 4x + 4 -5x +8

==> -x + 12

==> hence, 12 - x

so we get as,

(f-g) (x) ==> 12 - x

What grade is 2 step equations?

Answers

Teaching two step equations is a standard that needs to be taught in both 7th and 8th grade middle school PreAlgebra Math.

What is a 2 step equation?

Two step equations are algebraic equations that can be solved in exactly two steps and gives the final answer of the variable in two steps. Generally two step equations are of the form ax + b = 0  where a and b are real numbers.

How do we solve 2-steps equation?

A two-step equation is an equation that requires two steps to solve. We must eliminate any constant that is on the same side as the variable first. To solve first use the inverse operations to isolate the variable by itself. We can do only one operation in single step.

Now

we solve two steps equation in grade 7th and 8th.It is very easy to understand.

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The diameter of the cylinder barrel was 20 in. When the barrel was lifted away it left an imprint of a circle on the ground. What is the area of the circle?

Answers

The area of the circle is  1256.64 square inches.

What is a Circle ?

All points on a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

A closed 2D form that isn't a polygon is a circle. It has one face that curves.If two circles have the same radius, they are said to be congruent.Equal chords are always located equally from the circle's center.The center of the circle is the perpendicular bisector of a chord.The line joining the points of two overlapping circles will be perpendicular to the line joining the points of the circles' centers.The tangents drawn at the diameter's endpoints are perpendicular to one another.

One of the most fundamental curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its basis in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

The diameter of the cylindrical barrel is 20 in

So the diameter of the circular base is 20 in = 10 inches in radius.

Area of the circle = [tex]\pi\ r^{2}[/tex] =  π*20*20 = 1256.64 square inches.

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A balloon ascending at a rate of 12 ft/s is at a height of 80 ft above the ground when a package is dropped. How long does it take the package to reach the ground

Answers

The time taken by the package to reach the ground will be 5.45 seconds.

What governs motion, according to Newton?

The motion of an object is related to the forces acting on it by Newton's laws of motion. According to the first law, unless a force acts on an object, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.

Solution:-

vo=12m/s

h=80m=yo

Then,

[tex]y-yo= vot-1/2gt^2[/tex]

⇒[tex]0-80m=(12m/s)t - 1/2(9.8m/s^2)t^2[/tex]

⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]

⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]

⇒[tex]t=5.45s, t=-3.00s[/tex]

∴[tex]t=5.45s[/tex]

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Describe a real-life situation involving markup, markdown, or discount that the equation y=x+0.4x could represent.

the retail price y in dollars for an item with the original cost and a markup of 40%

O the discount price y in dollars for an item with the original cost and a discount of 40%

O the sale price y in dollars of an item with the original cost and a markdown of 40%

O the discount amount y in dollars for an item with the original cost and a discount of 40%

Answers

The equation  y = x + 0.4x is the retail price y in dollars for an item with the original cost and a markup of 40% .

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

y = x + 0.4x {markup ↑}y = x - 0.4x {markdown , discount ↓}y = 0.4x

So, we choose the first equation.

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There is a line that includes the point (9,–8) and has a slope of –19. What is its equation in point-slope form?

Answers

Answer:

  y +8 = -1/9(x -9)

Step-by-step explanation:

You want the point-slope form of the equation of the line through point (9, -8) with slope -1/9.

Point-slope form

The equation of the line through point (h, k) with slope m is ...

  y -k = m(x -h)

You have (h, k) = (9, -8), and m = -1/9. Using these values, the equation is ...

  y +8 = -1/9(x -9)

what indicates a vectors size

Answers

Answer:

Vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity's magnitude.

Step-by-step explanation:

GIVING BRAINLEST Which table represents the statement “A car is traveling at a rate of 60 miles per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 30, 10. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60,61, 62. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 65, 70. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 120, 180. HURRY I WILL FAIL

Answers

Answer:

im not shere but i think its D on ege

Step-by-step explanation:

Can anyone help me with this?

Answers

Answer:

Link Is A Virus. Do Not Search! Have A Nice Day! Owa Owa! UwU

Step-by-step explanation:

the 10th term of the arithmetic 5x + 6, 11x + 2, 17x - 2,

Answers

Answer:

t10 = 59x - 30

Step-by-step explanation:

a = 5x + 6

d = 11x + 2 - 5x - 6

d = 6x - 4

n = 10

tn = a + (n - 1)*d

t10 = 5x + 6 + (10 - 1) ( 6x - 4)

t10 = 5x + 6 + 9(6x - 4)

t10 = 5x + 6 + 54x - 36

t10 = 59x - 30

Check by finding the 3rd term

d = 6x - 4

n = 3

a = 5x + 6

t3 = 5x + 6 + (3-1)*(6x - 4)

t3 = 5x + 6 + 2(6x - 4)

t3 = 5x + 6 + 12x - 8

t3 = 17x - 2 which is exactly what it should be.

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