MATHEMATICS HIGH SCHOOL

Match the following problems with their answer, HELP ME PLEASE!!!!!
Match the following problems with their answer, HELP ME PLEASE!!!!! - 1

Answers

Answer 1
Answer:

Answer:

1. 12.5%

2. 26%

3. 51

4. 16

Step-by-step explanation:

3/24=0.125 -> 12.5%

65/250=0.26 -> 26%

300*0.17=51

0.4*40=16

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If you popped 3 bags of popcorn in 15 min how many bags did you pop per min

Answers

1 bag per 5 minutes.If you divide 15(total amount of min) by 3(bags of popcorn you popped) you will see you popped 1 bag per 5 minutes.Now its say per minutes, then, you will have to say 1/5 bag per minutes.

Assume that women's heights are normally distributed with a mean given by u = 64.3 in, and a standard deviation given by 0 = 2.7 in. (a) f 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) if 43 women are randomly selected, find the probability that they have a mean heightless than 65 in. (a) The probability is approximately I. (Round to four decimal places as needed.) 4

Answers

Answer:

0.9533

Step-by-step explanation:

(a) Probability that a randomly selected woman's height is less than 65 inches:

Using the z-score formula:

�

=

�

−

�

�

Z=

σ

X−μ

​

Where:

�

X = 65 inches

�

μ = 64.3 inches

�

σ = 2.7 inches

�

=

65

−

64.3

2.7

≈

0.2593

Z=

2.7

65−64.3

​

≈0.2593

Now, find the probability associated with this z-score, which is approximately 0.6010 (rounded to four decimal places).

(b) Probability that the mean height of 43 randomly selected women is less than 65 inches:

Using the Central Limit Theorem:

�

μ (mean of the sample means) remains 64.3 inches.

�

sample mean

σ

sample mean

​

 (standard deviation of the sample means) is calculated as

2.7

43

≈

0.4115

43

​

2.7

​

≈0.4115.

Now, find the z-score for a sample mean of 65 inches:

�

=

65

−

64.3

0.4115

≈

1.6924

Z=

0.4115

65−64.3

​

≈1.6924

The probability associated with this z-score is approximately 0.9533 (rounded to four decimal places).

A paper drinking cup in the shape of a cone has a heightof 10 centimeters and a diameter of 8 centimeters.

Which of the following is closest to the volume
of the cup in cubic centimeters?

27 cm
53 cm
80 cm
160 cm

Answers

The solution is, 160 cm is closest to the volume of the cup in cubic centimeters.

What is volume of cone ?

The formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the cone.

here, we have,

a cone has a height of 10 centimeters

and a diameter of 8 centimeters.

so, we know,

Volume =  ⅓ r²h

i.e. V = 167.55

Hence, 160 cm is closest to the volume of the cup in cubic centimeters.

to learn more on volume of cone click:

brainly.com/question/1984638

#SPJ6

Answer:

I am pretty sure it is 53cm.

Step-by-step explanation:

If it were in a cylinder shape 10 x 8 is 80 but is is in the shape of a cone so the volume lessens so it can't be 80cm or 160cm. 27cm is a bit to low so that is why I am 90% sure it is 53cm.

Show work.

Simplify 5! 3! / 2! 2!

Answers

Answer:

Simplify the expression.

Exact Form:

41/12

Decimal Form:

3.416

Mixed Number Form:

3  5/12

Find the distance between points at (6,11) and (-2,-4).

Answers

Answer: 17

Step-by-step explanation:

To find teh distance, you need to use the distance formula d=√((x_2-x_1)^2+(y_2-y_1)^2). Since we are given the two points, We can go ahead and plug them in and solve.

d=√((-2-6)^2+(-4-11)^2)           [subtract]

d=√((-8)^2+(-15)^2)                       [exponent]

d=√(64+225)                                  [add]

d=√(289)                                          [square root]

d=17

Now, we know the distance between the points is 17.
The distance between the points is 17

Which values represent the first two terms of the sequence a1=2 and an=-2(an-1)^2?2, -8
-2, 16
-8,-128
16, 1024

Answers

Hello,

a_(1)=2
a_(n+1)=-2*a_(n)^2

a_(1)=2
a_(2)=-2*2^(2)=-8
a_(3)=-2*(-8)^(2)=-2*64=-128


Answer C
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