MATHEMATICS HIGH SCHOOL

What is the slope of the line thru (-9,6) and (-6,-9) ??

Answers

Answer 1
Answer:

Answer:

-5

Step-by-step explanation:
Answer 2
Answer:

Answer:

−5

Step-by-step explanation:

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Find the mode of the set represented by the following stem-and-leaf plot.1,74,38,4
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Susan wants to make pumpkin bread and coffee cakes for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her pumpkin bread recipe uses 2 eggs and 3 cups of flour. Her coffee cake recipe uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and coffee cake loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of coffee cake Susan bakes. What is the objective function for the problem? A. P = 15x + 16yB. P = 5x + 7y C. P = 5x + 4y D. P = 4x + 5y
Ending time: 10:08 A.M Elapsed time: 30 minutes

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

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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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

How do I find BCD? Please help

Answers

Hi,
BCD and ECF are opposite angles and so are equal. If they are equal, then their equations are equal, and if their equations are equal, you can set the equations against each other to find x. See below, and hope this helps!

(10x - 20)° = (8x + 4)°

This is basic algebra. (I'm taking off the degree sign for now to make it simpler, but be sure to add it to your answer at the end.) Group like terms.

10x - 20 = 8x + 4
2x = -16
x = -8

Once you've found "x", plug "x" into the equation for BCD and solve. I'll get you started:

(10 × -8) - 20
all you need to do is add the angles up and you have your answer

Explane how you can tell 4 is a factor of 30

Answers

That is very difficult, since 4 is not a factor of 30. The prime factorization of 30 is 2*3*5. There is no combination of these numbers that results in 4, so it is not a factor of 30. 
Just count. 4 8 12 16 20 24 28 32 oop we past 30 so 4 is not a factor of 30. 

He table shows how the random number range is assigned to each event. If the following random numbers were assigned, predict the number of Chocolate Chip cookies purchased.

Random numbers: 3, 27, 43, 85, 83

Answers

Answer:

option 2nd is correct that is 2.

Step-by-step explanation:

We have been given the random number range assigned to each event  

And from the given table we can see that the assigned number range of chocolate chip  cookies  is 0-40

So, we will  consider numbers in this range 0-40 from the given random numbers which are 3,27,43,85,83.

So, 3 and 27 will come under the range 0-40

Therefore, only 2 chocolate chip cookies purchased

Therefore, option 2nd is correct that is 2.

Answer:

2

Step-by-step explanation:

What is the vertex form of y = x^2 - 20x +15

Answers

so your equation is y = x² - 20x + 15. what you'll want to do is complete the square, so take half of 20 and square it. 20/2 = 10. 10² = 100. add 100 to both sides. and simplify x²-20x+100+15 to (x²-10)²+15. now subtract 100 from both sides to get y alone. this leaves you with y = (x²-10)-85. that's your vertex form.
Given a function:
y=ax²-bx+c
The vertex is: (-b/2a, f(-b/2a)

In this case:
y=x²-20x+15
-b/2a=20/2=10
f(10)=10²-20(10)+15=100-200+15=-85

Answer: The vertex is (10,-85)

Given a vertex (h,k), the vertex form is :
y=a(x-h)²+k

In this case:
(10,-85)
a=1
 
y=(x-10)²-85

Answer: y=(x-10)²-85

Jimmy is going to pack his backpack for a trip. His backpack is 60 cubic litres. He has a pile of equipment that takes up 43 cubic litres and then he has his sleeping bag that takes up 23 cubic litres. Let r be the amount of room left in his backpack. Which equation could you use to determine if he has enough room in his backpack.

Answers

Answer:

r = R - ( 43 + 23 )

There is no more space in his backpack.

Step-by-step explanation:

Jimmy's backpack has a space of 60 cubic liters (R).

Now, he has a pile of equipment of volume 43 cubic liters and then he has his sleeping bag of volume 23 cubic liters.

Now, if r is the amount of room left in his backpack, the equation I can use

r = R - ( 43 + 23 ) ....... (1) to determine if he has enough room in his backpack.

Now, in our case R = 60 cubic liters

Therefore, from equation (1), we get r = 60 - ( 43 + 23 ) = - 6, i.e. there is no more space in his backpack. (Answer)
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