Mai gathers a random sample of 30 students at her school and asks them whether they would be willing to start and end the school day 1 hour later than usual. 27 of the students agree that this would be a good idea. Mai goes to the principal and says, "Exactly 90% of all of the students in the school think it’s a good idea to start and end the school day an hour later than usual!"

What is wrong with this statement?

Answers

Answer 1

The statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.

Why do we do sampling?

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

So, in this case, Mai did sampling(sample of 30 students was selected) instead of working on entire population (all students of her school).

In her sample, she found that 27 out of 30 students think its a good idea to start and end the school day an hour later than usual.

So, from sample, 90% of those 30 students think  it’s a good idea to start and end the school day an hour later than usual.

And yes, we can use this data to approximate or predict about the percentage of students who think  it’s a good idea to start and end the school day an hour later than usual.

But we cannot surely say that it will be exactly 90%.

The only statement we can give about the population is:

Almost (or such unsure wordings) 90% of all of the students in the school think it’s a good idea to start and end the school day an hour later than usual!

Thus, the statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.

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Related Questions

Jacob wants to buy a $500,000 15-year term life policy, and the annual premium rate (per $1000 of face value) for his age group is $6.78. if jacob lives until the end of the term of his policy, how much will jacob have paid in premiums overall? a. $101,700 b. $3,390 c. $50,850 d. $73,746

Answers

If Jacob lives until the end of the term of his policy, the total amount he would have paid in premiums overall is $50,850.

How much would he have paid in premiums?

Total premium payment = (face value / average premium rate) x number of years x premium

($500,000 / 1000) x $6.78 x 15 = $50,850

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Answer:

C

Step-by-step explanation:

Find the value of x in each of the following
2x/7-3=2

Answers

Answer:

22x/7=52x=35x= 35/2

Step-by-step explanation:

hope this helps

The answer is 17.5 because dividing 35 by 2 gives you 17.5

If a galapagos tortoise lives for an average of 180 years how many years. How many years in total will be accumulated for 8 tortoises of the same age
If only half of those tortoise live to be that old and other half are half that age what is the total number of years between them now?

Answers

Answer:

1440 Years

Step-by-step explanation:

hope it helps

Do I reflect if up word or to the left? Help please

Answers

Answer:

Upward

Step-by-step explanation:

On a standard graph, the horizontal line is the x-axis and thr vertical is the y-axis

What is the mean absolute deviation of 10,9,3,8,10

Answers

Answer:9

Step-by-step explanation:

Write the sequences equation for the table . Your equation should be in the form a(n)=man+b

Answers

Answer:

a(n) = 3.25n + 1.25

Step-by-step explanation:

7.75-4,5 = 3.25

11-7.75 = 3.25

14.25-11 =3.25

17.5-14,25 = 3.25

It’s clear that this is an arithmetic sequence with common difference of 3.25

The equation form of such sequence is  a(n) = a×n + b ,where ‘a’ is the common difference.

Then

a = 3.25

The first term a₁ = 4.5

On the other hand, a₁ = 3.25 ×(1) + b

Then

4.5 = 3.25 ×(1) + b

Then

b = 4.5 - 3.25 = 1.25

Conclusion:

a(n) = 3.25n + 1.25

Help me with this question please

Answers

The figure of the cube of the length of a side is given as 18.5 in. Hence, The volume of that cube will be 6331.62 cubics in.

How to find the volume of a cube?

Suppose that:

The side length of the considered cube is L units.

Then, we get:

The volume of that cube = L³ cubic units.

We have given a figure of the cube of the length of side 18.5 in.

WE need to find the volume of the cube,

The volume of that cube = L³ cubic units.

The volume of that cube = 18.5³ cubic in.

                                          = 6331.62cubicsc in.

Hence, The volume of that cube will be 6331.62 cubics in.

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please help mehhhhhhhhhhh ​

Answers

Answer:

c would be a good answer I am not sure but c would be the answer

State the angle relationships for the following pairs of angles​

Answers

Answer:

They are equal.

Step-by-step explanation:

The equation of the line which passes through the point (3, 7) and has a gradient of 3 is:

Answers

Answer:

y = mx + b, where m is gradient and b is y-intercept

y = 3

y = 3x + b

To find b use the coordinate (3, 7) to find b

7 = 3(3) + b

b = 7 - 9

b = -2

Therefore, the equation will be:

Therefore, the equation will be:y = 3x - 2

Step-by-step explanation:

.

A carpenter is making a wooden window frame that has a width of 1 inch.

A window with a one-inch frame is shown. The frame is comprised of a rectangle and a semicircle. The rectangle has side lengths of 12 inches and 48 inches. The semicircle has a radius of 6 inches. The frame is 1-inch wider than the window.

How much wood does the carpenter need to build the frame?

5.5 + 106 square inches
5.5 + 116 square inches
5.5 + 153 square inches
5.5 + 162 square inches

Answers

Answer:

5.5 + 106 square inches

Step-by-step explanation:

It's the first option.

Answer:

A. 5.5 + 106 square inches

Step-by-step explanation:

if u want to u can answer question 19 and 20 but if u don’t, just answer 19

Answers

Answer:

19-b

20-d

Step-by-step explanation:

your welcome

does someone mind helping me with this question? thank you!

Answers

Answer:

A= B= C= D= E= F=

Step-by-step explanation:

A scale model of a building is 5 inches wide by 7 inches long. If the scale is 1 in ; 15 ft., how long is the building?
A) 35ft.
B) 75ft.
C) 105ft.
D) 180ft.

Answers

Answer:

C

Step-by-step explanation:

I think it's C hope that helps

With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even number?

50%
6%
46%
54%

Answers

Answer:C. 46%

Step-by-step explanation:there is 6 even numbers and 7 odd number 50 pecernt would be if it was 6 even and 6 odd or 7even and 7 odd.

What is the value of x in the triangle?

Answers

Answer:

a) 10√2 is correct answer

Given cosθ= -[tex]\frac{7}{9}[/tex] and tanθ<0, find sin2θ

Answers

[tex] \sin {}^{2} (x) + {cos}^{2} (x) = 1[/tex]

[tex] {sin}^{2} (x) = 1 - {cos}^{2} (x)[/tex]

[tex] {sin}^{2} (x) = 1 - ({ \frac{ - 7}{9} })^{2} \\ [/tex]

[tex] {sin}^{2} (x) = 1 - \frac{49}{81} \\ [/tex]

[tex] {sin}^{2} (x) = \frac{81}{81} - \frac{49}{81} \\ [/tex]

[tex] {sin}^{2} (x) = \frac{32}{81} \\ [/tex]

[tex] \sin(x) = ± \sqrt{ \frac{32}{81} } \\ [/tex]

_____________________________________________

[tex] \tan(x) < 0 \: \: \: and \: \cos(x) < 0[/tex]

Thus :

[tex] \sin(x) > 0[/tex]

So we have :

[tex] \sin(x) = + \sqrt{ \frac{32}{81} } \\ [/tex]

[tex] \sin(x) = \frac{ \sqrt{16 \times 2} }{ \sqrt{9 \times 9} } \\ [/tex]

[tex] \sin(x) = \frac{4 \sqrt{2} }{9} \\ [/tex]

_____________________________________________

[tex] \sin(2x) = 2 \times \sin(x) \times \cos(x) [/tex]

[tex] \sin(2x) = 2 \times \frac{4 \sqrt{2} }{9} \times ( - \frac{7}{9} ) \\ [/tex]

[tex] \sin(2x) = - \frac{56 \sqrt{2} }{81} \\ [/tex]

2 3/10x-5/7y-4 5/6y-2 4/5x please help and simplify

Answers

Answer:

  -1/2x -(5 23/42)y

Step-by-step explanation:

We assume you want to simplify the expression ...

  (2 3/10)x -(5/7)y -(4 5/6)y -(2 4/5)x

__

The mixed numbers and fractions are combined in the usual way. A common denominator needs to be found for the addition or subtraction to take place.

  = x(2 3/10 -2 4/5) -y(5/7 +4 5/6)

  = x(23/10 -28/10) -y(30/42 +4 35/42)

  = x(-5/10) -y(4 65/42)

  = -1/2x -(5 23/42)y

Two people meet for the first time. What is the probability that they both have the same birthday?

Answers

That’s a 0.00273972602% chance

A quantity with an initial value of 870 decays continuously at a rate of 0.75% per day.
what is the value of the quantity after 10 weeks, to the nearest hundredth?

Answers

The function of the exponential decay will be y = 870(0.75)ˣ. Then the value of the quantity after 10 weeks will be 49.

What is exponential growth or decay function?

Consider the function:

y = a(1 ± r)ˣ

where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction.

If there is a negative sign, then there is exponential decay happening by r fraction.

A quantity with an initial value of 870 decays continuously at a rate of 0.75% per day.

Then the function is given as

y = 870(0.75)ˣ

Then the value of the quantity after 10 weeks will be

y = 870(0.75)¹⁰

y = 870 (0.0563)

y = 48.99

y ≅ 49

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Answer:

111.7

Step-by-step explanation:

1. When drawn in standard position, which of the following angles is coterminal with 125?
(1) -275
(3) 235
(2) 485
(4) 415

Answers

The angle which is coterminal with the angle 125 degree when drawn in standard position is -235 degrees. Option A is correct.

What is the coterminal or terminal side of an angle?

The terminal side of an angle is the rotated side of the initial side around a point to form an angle. This rotation can be clockwise or counter clock wise.

The angle given in the problem is,

θ=125°

The angle which is coterminal of this angle is,

θ=125°-360°

θ=-235°

Thus, the angle which is coterminal with the angle 125 degree when drawn in standard position is -235 degrees. Option A is correct.

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PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer: hii

1 4/6 Is the Answer I Believe.

Step-by-step explanation:

Hopefully this helps you

- Matthew

Suppose you write the numbers 1 to 10 on separate index cards. You randomly choose one card, place it back in the set, and then randomly choose another card. What is the probability that the first card you choose is the number 1 or the second card you choose is the number 2?.

Answers

Answer:

1/100

Step-by-step explanation:

From 1 to 10 there are 10 numbers, so the fraction would be:

# / 10

Since you are putting the cards back into the deck, the denominator will never change.

The chances of getting " 1 " are 1 / 10.

And the chances of getting " 2 " are also 1 / 10

To find the odds of getting one-after-the-other, you multiply these 2 chances.

( 1 / 10 ) x ( 1 / 10 ) = ( 1 / 100 )

There is a 1 / 100 chance that you will draw 1, then 2 if you put the cards back after drawing.

can someone help me with this problem?

Answers

Answer:

It's [tex]15ft^{3}[/tex]

Step-by-step explanation:

Since w is 4 on A and 2 on B just divide all sides by 2 to get your values for B

4 --> 2

10 ---> 5

2 ----> 1.5

making your answer 15ft^3

hope this helps:)

5 miles is 8km.
Convert 68km to miles

Answers

Answer: It should be 42.5 since 68 divided by 8 times 5 equal that

Does anyone know a math equation using the distributive property that equals 15

Answers

Answer:

3(5)=x

Explenation:

3*5 is equal to 15

What is the measure of angle BOC, in degrees?

Answers

Answer:

The answer is 100 degrees.

Step-by-step explanation:

Step 1. Set up the equation 20x+25x=180
Step 2. Simplify to get 45x=180
Step 3. Divide 180 by 45 to get 4.
Step 4. Do 25x4 to get an answer of 100.
I hope this helps! :)

Match each equation to its graph. use the drop-down menus to describe the equations. y = x 1 y = x2 y = ( 3 2 ) x y = x2 2 x2 − 2

Answers

The following equations are described as follows:

y = x+1                     Lineary = x²                       Quadraticy=[tex](3/2)^{x}[/tex]                   Exponentialy = x²+2/x²-2           Rational.

What are equations?

An equation is a mathematical expression that shows the relationship between two or more mathematical variables that are equal to one another using the equal sign.

The following are various types of equations:

Linear QuadraticRationalExponential etc.

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please help i have to write and i dont understand

Answers

Answer:

A. This is a vertical angle set. As you can see, they are cut by the transversal and have the exact same interior angle, so it is a vertical angle.

B. Since these too are vertical angles, all you have to do is just put each expression on the sides of an equation like so:

5y-29=3y+19

Once you do this, you just need to simplify the equation by putting like terms together, and then you will find the solution for y, which is 24.

C. We know that the solution for y is 24, so we need to plug it into the equation to find, the angle, so if we do 3*24-19, we get 53, so we need to subtract that from 180 degrees, which is the total angle of the straight line, then we can get 127 degrees, which is what angles <7 and <8 are.

Step-by-step explanation:

What is the exact value of the other root?

Answers

The exact value of the other root to the quadratic equation is [tex]x = -2 - \sqrt 6[/tex]

How to express the solution?

One of the root is given as:

[tex]x = -2 - \sqrt 6[/tex]

As a general rule, the solution to a quadratic equation is represented by:

[tex]x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

This means that the actual root of the given root is:

[tex]x = -2 \pm \sqrt 6[/tex]

Split the equation

[tex]x = -2 - \sqrt 6[/tex] and [tex]x = -2 + \sqrt 6[/tex]

Hence, the exact value of the other root to the quadratic equation is [tex]x = -2 - \sqrt 6[/tex]

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