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Strike441 [17]
2 years ago
9

Below are the average test scores of two different math class periods. Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 83 87 82 89 4th

period 90 82 90 85 6th period 86 81 88 How do the median test scores of each class period compare? OA. The median test score of 4th period is equal to the median test score of 6th period. B. The median test score of 4th period is greater than the median test score of 6th period. C. The median test score of 6th period is greater than the median test score of 4th period. D. The median test score of 6th period is greater than the median test score of 4th ​
Mathematics
1 answer:
irinina [24]2 years ago
8 0

You need to understand that you're solving for the average, which you already know: 90.

Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.

Solving for the average is simple

<h3>What is the average?</h3>

Add up all of the exam scores and divide that number by the number of exams you took.

(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.

Since you know you have that fourth exam, just substitute it into the total value as an unknown, X

(87 + 88 + 92 + X) / 4 = 90

Now you need to solve for X, the unknown

87+88+92+X4 /(4) = 90/ (4)

Multiplying for four on each side cancels out the fraction.

So now you have

87 + 88 + 92 + X = 360

This can be simplified as

267 + X = 360

Negating the 267 on each side will isolate the X value, and give you your final answer

X = 93

Now that you have an answer, ask yourself does it make sense.

I say that it does because there were two tests that were below average, and one that was just slightly above average.

To learn more about the average visit:

brainly.com/question/10428039

#SPJ1

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Answer:

Step-by-step explanation:

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dmitriy555 [2]

Answer:

1. Find the difference between the areas.

<u>Area of the small rectangle</u>: (x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14

<u>Area of the big rectangle</u>: (x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99

The difference is: 11x+85

( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

f(d)=h=-2d^2+7d+4

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

f(0)=h=-2(0)^2+7(0)+4

h=4

The height is 4 meters.

b) 9 meters.

For d=1

f(1)=h=-2(1)^2+7(1)+4

f(1)=h=-2+7+4

h=9

b) The ball travels 4 meters.

But to calculate it, it is when h=0

0=-2d^2+7d+4

Using the quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$

$d=\frac{-7\pm\sqrt{81}}{-4}$

$d=\frac{-7\pm9}{-4}$

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

V=\pi r^2h

V=\pi (2.5)^2 \cdot 5

V=31.25 \pi

V_{c} \approx 98.17 \text{ m}^3

The volume of the sphere:

$V=\frac{4}{3}  \pi r^2$

V_{s} \approx 65.4 \text{ m}^3

The volume of the capsule is approximately 163.57  \text{ m}^3

3 0
4 years ago
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nadya68 [22]

Answer:

x=30

Step-by-step explanation:

if 30 x 4 = 120 amd 2 = 30 = 60 then 60+120=180

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3 years ago
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Answer:

√ 17 , 4.23 , 9/2

Step-by-step explanation:

√ 17 = 4.12310562 ... (about 4.1)

9/2 = 4.5

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3 years ago
The weight of tigers follow a normal distribution with a mean of 220 kg and a SD of 30 kg. 1) If we randomly select a tiger, wha
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Answer:

0.89736

Step-by-step explanation:

We solve this question using z score formula

Z score = x - μ/σ

x = raw score

μ = population mean

σ = population standard deviation

Hence,

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Z = 258 - 220/30

=1.26667

Probability value from Z-Table:

P(x<258) = 0.89736

Therefore, the probability that his weights is less than 258 kg is 0.89736

6 0
3 years ago
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