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2 years ago

Write an equation of the line with a slope of 0 and y -intercept of 5 . y=

Mathematics

1 answer:

ruslelena [56]2 years ago

5 0

Answer:

y=-5

Step-by-step explanation:

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suppose the mean height for men is 70 inches with a standard deviation of 2 inches. What percentage of men are less than 74 inch

Ratling [72]

Answer:

97.7 %

Step-by-step explanation:

TWO standard deviations above the mean

z - score = 2 corresponds to .9772 97.7 %

3 0

2 years ago

Solve for x or find x

Varvara68 [4.7K]

X=9
Prove
9+27=36
4(9)=36

3 0

3 years ago

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

3 years ago

Can you help me with 4,8,and 6

aksik [14]

Answer:

4, 8, 6

Step-by-step explanation:

4 is cost, 6 is acid rain, 8 is, recycling

4 0

3 years ago

Select the correct answer.<br> Find the value of g(7) for the function below.<br> g(x) = zur

ale4655 [162]

Answer:

Step-by-step explanation:

To evaluate g(7) substitute x = 7 into g(x) , that is

g(7) = $\frac{7}{8}$ × 7 - $\frac{1}{2}$

= $\frac{49}{8}$ - $\frac{4}{8}$

= $\frac{45}{8}$ → B

5 0

3 years ago