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3 years ago

Can someone please let me know what the answer is?

Mathematics

2 answers:

Artist 52 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

$\dfrac{\sqrt{a}}{\sqrt{b}}=x\\\\Take \ square \ both \ sides,\\\\(\dfrac{\sqrt{a}}{\sqrt{b}})^{2}=x^{2}\\\\x^{2}=\dfrac{a}{b}$

Brilliant_brown [7]3 years ago

3 0

Answer:

Step-by-step explanation:

I'm not 100% sure but since when you remove the square roots on a and b, you have to add it to X

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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.

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3 years ago

78974 divided bye 21 with whole number and remeinder

andriy [413]

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Step-by-step explanation:

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3 years ago

Grace made tables of values to solve a system of equations. First, she found that the x-value of the solution was between 0 and

liraira [26]

Answer: C

Step-by-step explanation:

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3 years ago

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stellarik [79]

Answer:

B) BC'= 8, m A'= 28°

Step-by-step explanation:

When dilating a figure, it increases its size or decreases. In this case, as it is dilating by a factor of 1/2, you can assume it decreases.

To find the value of the new figure, A'B'C', you have to multiply the factor times the lengths of the triangle, or, the only one they are asking for in this case, the length BC':

BC' = BC×1/2
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The angles, otherwise, do not change. When figures are dilated, they are similar. The properties of similar figures are that they have congruent angles, therefore, the same angles. They do not have any effect caused by the factor, so m A' stays at 28°.

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sergij07 [2.7K]

14 Feeders is the correct answer

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4 years ago

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