Which one of these points lies on the line described by the equation below y - 5 = 6 ( x

Help plz..And No links!! I repeat No links!! If you don’t know the answer don’t saying anything this is important

OlgaM077 [116]

Answer:

169.65

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 215 vinyl glov

pickupchik [31]

Answer:

$z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42$

$p_v =P(Z>13.42)\approx 0$

So the p value is a very low value and using any significance level given $\alpha=0.01$ we se that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

Step-by-step explanation:

Data given and notation

$n_{V}=215$ sample of vinyl gloves selected

$n_{L}=215$ sample of latex gloves selected

$p_{V}=0.7$ represent the proportion of vynil gloves with leaked viruses

$p_{L}=0.07$ represent the proportion of latex gloves with leaked viruses

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the vinyl gloves have a greater virus leak rate than latex gloves , the system of hypothesis would be:

Null hypothesis: $p_{V} \leq p_{L}$

Alternative hypothesis: $p_{V} > \mu_{L}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{V}-p_{L}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{V}}+\frac{1}{n_{L}})}}$ (1)

Where $\hat p=\frac{X_{V}+X_{L}}{n_{V}+n_{L}}=\frac{0.7+0.07}{2}=0.385$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42$

Statistical decision

Since is a one right tailed test the p value would be:

$p_v =P(Z>13.42)\approx 0$

So the p value is a very low value and using any significance level given $\alpha=0.01$ we se that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

3 0

3 years ago

Read 2 more answers

Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?

____ [38]

<h3>Answer: 35 (choice C)</h3>

=============================================

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

D = 7b+1 = 7*17+1 = 119+1 = 120
E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
F = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

3 0

2 years ago

How many solutions does the following system of equations have?<br> 2y= 5x + 4<br> 1 = 3x + 2

Elden [556K]

Looks like a pretty regular system, no parallel lines. In fact the second equation is a vertical line as written; not sure if that's a typo. Either way,

Answer: EXACTLY ONE SOLUTION

4 0

3 years ago

If George is 33 1/3% richer than Pete, than Pete is what percent poorer than George?

OleMash [197]

Answer:

25%

Step-by-step explanation:

George is 33 $\frac{1}{3}$ % ( $\frac{100}{3}$ %) richer than Pete. Let Pete's percentage of wealth be 100%.