Question 3 (Multiple Choice Worth 5 points)(08.01)Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?

25

85

150

128






Question 4 (Multiple Choice Worth 5 points)


(08.01)Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?

No, this is not a valid inference because he asked only 20 families

No, this is not a valid inference because he did not take a random sample of the neighborhood

Yes, this is a valid inference because he took a random sample of the neighborhood

Yes, this is a valid inference because the 20 families speak for the whole neighborhood

Answers

Answer 1
Answer:

A)The number of students in the seventh grade who would be expected to prefer math to science are: 128

B) The true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

What is sample?

A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.

A) Given that, the total number of students in seventh grade are: 150 students.

Now he took a sample of 25 students and find that the 85% of the sample prefers math to science.

This means that out of the sample the number of students who prefer math to science is:

= 85 / 100 x 25

= 21.25

Now, out of the total seventh graders the number of students who prefer math to science is:

21.25 x 150 / 25 = 127.5 ≈ 128

B) From the question, we understand that:

Mark draws a random sample of 20 addresses from all 80 of the neighborhood addresses.

The above selection is a random sampling technique

Therefore, the true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

Learn more about samples, click;

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Answer 2
Answer: Part 1 : Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science? 

Option 1 : 25

Option 2 : 85

Option 3 :150

Option 4 :128

Solutions - Convert the percent into decimal and multiply. 

85% of 150 = 0.85 * 150 

127.5 which is rounded to 128 

Part 2 : 
Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?

No, this is not a valid inference because he asked only 20 families

No, this is not a valid inference because he did not take a random sample of the neighborhood

Yes, this is a valid inference because he took a random sample of the neighborhood

Yes, this is a valid inference because the 20 families speak for the whole neighborhood

Solutions : Plans to attend doesn't mean they would come. It is a 50/50 chance. 2/8 * 100% is 25%.  

Answer = (C) = Yes, this is a valid inference because he took a random sample of the neighborhood



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Sin x= 0.46 what is the value of x

What is 6 divided by 2(1+2)

Answers

Answer:

The answer is 1

Step-by-step explanation:

Remember PEMDAS,  1+2 is 3. 2x3 is 6, then 6 divided by 6 is 1.

Answer:

1

Step-by-step explanation:

6 / 2(1 + 2)

6 / 2(3)

6 / 6 = 1

What is the circumference of a circle with a diameter of 45 centimeters? A. 282.7 centimeters
B. 70.7 centimeters
C. 6,361.7 centimeters
D. 141.4 centimeters

Answers

Circumference, C = πd
d = diameter.

C = π*45

C = 45π

C ≈ 45*3.142

C≈ 141.39

C ≈ 141.4

Option D.
It is 141.4 centimetres. This is because the circumference is obtained by multiplying pi with the diameter.

Dee spends $0.25, $0.30, $0.10 and $0.04.

How much $ does she spend in all?

Answers

By adding all the money she spend we get $0.69

What is the unitary method?

The unitarymethod is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Dee spends $0.25, $0.30, $0.10 and $0.04.

We need to find the money she spend in all.

Therefore, we have to add all the expenditure

0.25 + 0.30 + 0.10 + 0.04 = 0.69

The total money she spend could be 0.69.

Learn more about the unitary method, please visit the link given below;

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answer: $0.69

explanation: 0.25 + 0.30 + 0.10 + 0.04 = 0.69

permutations 2.4 statistics answers A clothing store has a certain shirt in 4 sizes: small, medium, large, and extra large. If it has 2 small, 3 medium, 6 large, and 2 extra large in stock, in how many orders can it sell all the shirts?

Answers

Answer: 360,360

Step-by-step explanation:

The number of permutations of n things of which a are identical, b are identical and so on... :-

(n!)/(a!\ b!....)

Given :  A clothing store has a certain shirt in 4 sizes: small, medium, large, and extra large.

If it has 2 small, 3 medium, 6 large, and 2 extra large in stock, then total shirts : 2+3+6+2=13

Then, the number of orders in which the store can sell all the t-shirts will be :_

(13!)/(2!3!6!2!)\n\n=(13*12*11*10*9*8*7*6!)/(2*3*2*6!*2)\n\n=360360

Hence, the number of orders in which the store can sell all the t-shirts  = 360,360

Factor 9x6 – 16 y completely.First factor each term.
9x6 = (__)?
16y6 = ()2
Then use a? - b2 = (a - b)(a + b). Show your work.
9x6 – 16y6 =

Answers

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Step-by-step explanation:

9x^6 – 16 y^6

Rewriting as

(3x^3) ^2 - ( 4y^3) ^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

30 POINTS PLZ HELP I WILL MARK BRAINLIESTAn archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation
() = −162 + 80 where t is time in seconds and f(t) is height in feet. Find how long it will take the
arrow to hit the ground using an algebraic method. Show all of your reasoning/steps used with this algebraic
method.

what is being asked in the problem?
show work when you solve
explain your answer

Answers

Answer:

Since 162 is negative you subtract 162-80 which is 82

Step-by-step explanation:

So it will take 82 seconds for the arrow to hit the ground I believe I’m checking my answer real quick. Ya it’s right can I maybe brainliest?