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Svetach [21]
2 years ago
7

Amy has a triangle with side lengths of 6 and 8. What is the length of the hypotenuse.

Mathematics
1 answer:
Alex787 [66]2 years ago
8 0

Hello There!

The length of the hypotenuse is 10.

We know what 2 sides are 6 and 8.

To find the third side we use the formula a^2 + b^2 = c^2

So we multiply 6 by 6 which equals 36 and then multiply 8 by 8 which equals 64.

Next we add 64 and 36 together and we get 100.

Next, we square root 100 and get 10.

10 is the length of the hypotenuse.

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5 0
3 years ago
A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard devia
faltersainse [42]

Answer:

We conclude that her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company states.

Step-by-step explanation:

We are given;

Population mean; μ = 30 minutes

Population standard deviation; σ = 3 minutes

Sample size; n = 10

Sample mean; x¯ = 25

Significance level = 5% = 0.05

Let's define the hypotheses;

Null hypothesis; H0: μ = 30

Alternative hypothesis: Ha: μ ≠ 30

Let's find the test statistic;

z = (x¯ - μ)/(σ/√n)

z = (25 - 30)/(3/√10)

z = -5.27

From online p-value from z-score calculator attached using, z = -5.27, significance level = 0.05, two tailed hypothesis, we have;

p < 0.00001

This is less than the significance level, and so we will reject the null hypothesis and conclude that Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.

8 0
2 years ago
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sashaice [31]
Part a is 50 and part b is 20 at a 90 degree angle
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Please help
trapecia [35]
Between emma and dave, we have 7/10ths of the money

3x + 2x = 7/10

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x=(7/10)/5

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Dave will get 28/100 or 7/25ths

Check : 30/100      Colin
            42/100      Emma 
         + 28/100     Dave
           -----------
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2 years ago
Question 6(Multiple Choice Worth 3 points)
Shtirlitz [24]

Answer:

a ≥ 9

Step-by-step explanation:

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2 years ago
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