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2 years ago

8 km 6 km What is the length of the hypotenuse? kilometers C

Mathematics

1 answer:

hammer [34]2 years ago

3 0

Answer:

Step-by-step explanation:

We use pythagorean theorem:

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

$\sqrt{36 + 64} = \sqrt{100} = 10$

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Find the value of x in the isosceles triangle shown below. 13 13 20 10

Masteriza [31]

Answer:

X=12

Step-by-step explanation:

Khan Academy

6 0

2 years ago

I NEED HELP PLEASE i don’t understand how to do it!!

Ivahew [28]

Answer:

1 Cups (US) = 0.24992635042 Quarts

either divide or multiply by 0.24992635042

52* 0.24992635042 = 13

13 / 0.24992635042 = 52

Step-by-step explanation:

4 0

3 years ago

4x + 1 over 3 y2

vampirchik [111]

Answer:

1/3 =0.33

Step-by-step explanation:

just substitute the values of x and y into the expression to get

4(2)+1 /3(3)^2

=8+1 /3×9

=9/27

=1/3

=0.33

4 0

3 years ago

Read 2 more answers

5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g

anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1117}{10} = 111.7$

Sum of squares of differences = 642.1

$S.D = \sqrt{\frac{642.1}{49}} = 8.44$

We are given the following in the question:

Population mean, μ = 106

Sample mean, $\bar{x}$ = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 106\\H_A: \mu > 106$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0

2 years ago

Michael can clean the store in 6 hours. Together him and Lebron can clean the same store in 2 hours. How long would it take for

Contact [7]

Answer:

4 hours.

Step-by-step explanation:

The difference between 6 and 2 is 4.

3 0

2 years ago