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3 years ago

Name the plane that contains points A, D, and E.

Mathematics

1 answer:

Verdich [7]3 years ago

6 0

Answer:

Plane T

Step-by-step explanation:

The given points A, D, and E are shown as being on the plane T as follows

Point a lays on the boundary of the boundary between plane S and plane T

Points D and E are points on a line DE that is on the plane T

Therefore, given that the line DE and the point A all lay on the same plane T, the plane that contains points A, D, and E, is plane T.

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Find the exact perimeter of the triangle. A.68 sqrt(x) B.sqrt(68x) C.5x+x sqrt(17) D.68x

blondinia [14]

Hypotenuse²= (4x)²+ x²=16x²+x²=17x²

Hypotenuse=√(17x²)= x√17
To find perimeter, we need to add all sides
P=x+4x+ x√17 =5x+x√17 =x(5+√17)

4 0

3 years ago

Yes or noo ? ……………..

Citrus2011 [14]

Answer:

Step-by-step explanation:

A circle will fail the vertical line test, which means a vertical lines intersects two or more points. If it fails the vertical line test, it is not a function

4 0

3 years ago

The ratio of the angles of a triangle is 5:2/3:1. what are the measures of all three angles

Art [367]

The ratio of the angles of a triangle is 5: 2/3: 1 Then the measure of all three angles are 135, 18, 27 respectively.

Solution:

Given that, the ratio of the angles of a triangle is $5: \frac{2}{3}: 1$

We have to find what are the measures of all three angles.

Let us suppose, "x" is the highest common factor of three angles.

Then, the three angles will be $5x, \frac{2}{3}x, x$

Now, we know that, sum of angles of a triangle equals to 180

$\text { Then, } 5 x+\frac{2}{3} x+x=180$

$\begin{array}{ll}{\rightarrow} & {6 x+\frac{2}{3} x=180} \\\\ {\Rightarrow} & {x\left(6+\frac{2}{3}\right)=180} \\\\ {\Rightarrow} & {x\left(\frac{6 \times 3+2}{3}\right)=180} \\\\ {\Rightarrow} & {x\left(\frac{18+2}{3}\right)=180} \\\\ {\Rightarrow} & {x \times \frac{20}{3}=180} \\\\ {\Rightarrow} & {x=180 \times \frac{3}{20}} \\\\ {\Rightarrow} & {x=9 \times 3=27}\end{array}$

So, the three angles will be,

$5x = 5 \times 27 = 135\\\\\frac{2}{3} \times 27 = 18\\\\x = 27$

Hence, the angles of the triangle are 135, 18, 27 respectively.

8 0

4 years ago

Is the square root of 5/8 rational or irrational

Svetradugi [14.3K]

Answer:

the answer is square root 5 over 2 square root 2

Step-by-step explanation:

5 0

3 years ago

in a study of red/green color blindness, 600 men and 2150 women are randomly selected and tested. Among the men, 56 have red/gre

Umnica [9.8K]

Answer:

z=13.36 (Statistic)

$p_v =P(Z>13.36)\approx 0$

The p value is a very low value and using any significance level for example $\alpha=0.05, 0,1,0.15$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness is significant higher than the proportion of female with red/green color blindness .

Step-by-step explanation:

1) Data given and notation

$X_{MCB}=56$ represent the number of men with red/green color blindness

$X_{WCB}=5$ represent the number of women with red/green color blindness

$n_{MCB}=600$ sample of male selected

$n_{WCB}=600$ sample of demale selected

$p_{MCB}=\frac{56}{600}=0.093$ represent the proportion of men with red/green color blindness

$p_{WCB}=\frac{5}{2150}=0.0023$ represent the proportion of women with red/green color blindness

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion for men with red/green color blindness is a higher than the rate for women , the system of hypothesis would be:

Null hypothesis: $p_{MCB} \leq p_{WCB}$

Alternative hypothesis: $p_{MCB} > \mu_{WCB}$

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

$t=\frac{p_{MCB}-p_{WCB}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{MCB}}+\frac{1}{n_{WCB}})}}$ (1)

Where $\hat p=\frac{X_{MCB}+X_{WCB}}{n_{MCB}+n_{WCB}}=\frac{56+5}{600+2150}=0.0221$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

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

$z=\frac{0.093-0.0023}{\sqrt{0.0221(1-0.0221)(\frac{1}{600}+\frac{1}{2150})}}=13.36$

4) Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a one side test the p value would be:

$p_v =P(Z>13.36)\approx 0$

So the p value is a very low value and using any significance level for example $\alpha=0.05, 0,1,0.15$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness is significant higher than the proportion of female with red/green color blindness .

4 0

3 years ago