William earned $9.50 an hour he worked 40 hours one week

PLEASE HELP WILL MARK BRAINLIST

Mademuasel [1]

Answer:

angle Z=20°

side xy≈15.36

hypotenuse≈19.49

Step-by-step explanation:

Find angle z adding the other two angles and subtracting that by 180 to get 20.

(12)tan(20) gets you side xy which is 15.36

12^2+15.36^2=xz^2

7 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

the length and width of a rectangle are consecutive even integers. the area of the rectangle is 80 square units. what are the le

nadya68 [22]

X(x + 2) = 120sq units

Set it equal to 0 
x^2 + 2x - 120 = 0 

factor 
(x + 12)(x - 10) 

For the shorter side: 
x - 10 = 0 
x = 10 

Now that you have x, solve for the longer side which we said was represented by 
x + 2 
10 + 2 = 12 

Proof 
A = L x W 
120 = 10 x 12 
120 = 120 
true 

Our length is 12 and our width is 10

7 0

3 years ago

Help ASAP pllllllllllsssssssssssssssssss

valkas [14]

Answer:

15

Step-by-step explanation:

multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15

5 0

3 years ago

Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle?

omeli [17]

Answer:

A

Step-by-step explanation:

3 0

3 years ago