All categories

3 years ago

Can someone please help me with this

Mathematics

1 answer:

dem82 [27]3 years ago

6 0

Answer:

x = 8

DE = 52

Step-by-step explanation:

MD = ME

4x-6 = 3x +2

solve for x;

4x-3x = 2+6

x = 8

Now solve for MD and ME by substituting the x = 8 to each equation

MD = 4(8) - 6 = 32 - 6 = 26

ME = 3(8) + 2 = 24 +2 = 26

Since M is the midpoint, its in the middle of DE, so the length of DE is obtained by adding the length of MD + ME;

DE = 26 + 26

DE = 52

You might be interested in

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.7 millimeters and a standard deviati

slava [35]

Answer:

The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.7 millimeters and a standard deviation of 0.08 millimeters.

This means that $\mu = 5.7, \sigma = 0.08$

Top 3%

The 100 - 3 = 97th percentile, which is X when Z has a p-value of 0.97, so X when Z = 1.88.

$Z = \frac{X - \mu}{\sigma}$

$1.88 = \frac{X - 5.7}{0.08}$

$X - 5.7 = 1.88*0.08$

$X = 5.85$

Bottom 3%

The 3rd percentile, which is X when Z has a p-value of 0.03, so X when Z = -1.88.

$Z = \frac{X - \mu}{\sigma}$

$-1.88 = \frac{X - 5.7}{0.08}$

$X - 5.7 = -1.88*0.08$

$X = 5.55$

The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.

7 0

3 years ago

Use the given information to find the p-value. also use a0.05 significance level and state the conclusion about the null hypothe

omeli [17]

Answer:

(a) C: 0.0465 ; reject the null hypothesis

(b) B: 0.3409 ; fail to reject the null hypothesis

Step-by-step explanation:

Firstly, the decision rule based on P-value to reject the null hypothesis or fail to reject the null hypothesis is given by;

If the P-value of test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.

If the P-value of test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis due to which we fail to reject our null hypothesis.

(a) Now, we are given alternate hypothesis, $H_1$ : p < 3/5

Also, z test statistics is -1.68. Since this is a left tailed test, so P-value is given by;

P-value = P(Z < -1.68) = 1 - P(Z $\leq$ 1.68)

= 1 - 0.95352 = 0.0465

Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which we reject the null hypothesis.

(b) Now, we are given alternate hypothesis, $H_1$ : p > 0.383

Also, z test statistics is 0.41. Since this is a right tailed test, so P-value is given by;

P-value = P(Z > 0.41) = 1 - P(Z $\leq$ 0.41)

= 1 - 0.6591 = 0.3409

Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which we fail to reject the null hypothesis.

5 0

3 years ago

Please help me I’m not the smartest

Katyanochek1 [597]

(3x+1) + (2x+8) = 180
5x+9=180
5x=171

8 0

3 years ago

Read 2 more answers

Are all congruent rectangles similar?

shusha [124]

All congruent rectangles similar because comparable shapes are not always congruent.

Given that,

We have to find are all congruent rectangles similar.

We know that,

Each side's length and the angles that separate them match those of the other shape's corresponding sides and angles. Comparable shapes are not always congruent, whereas congruent shapes are always similar.

So,

Similar figures are not always congruent, whereas congruent figures are always similar. For similar figures, we simply take into account the shapes, however for congruent triangles, we take into account both the shapes and sizes of the figure.

Therefore, All congruent rectangles similar because comparable shapes are not always congruent.

To learn more about congruent visit: brainly.com/question/26044249

#SPJ4

5 0

2 years ago

A submarine at a depth of -2 2/3 feet descended 5 1/2 feet. How many feet must the submarine rise to reach the surface? Explain

vladimir2022 [97]

Original position of the submarine below the Surface = -2 2/3= -8/3

Submarine at a depth of -2 2/3 feet descended by 5 1/2 feet.

So new position of the Submarine = $\frac{-8}{3}-\frac{11}{2}\\\\ = \frac {-16 - 33}{2}\\\\ = \frac{-49}{6}$

To Reach the surface submarine must rise = 0-(-49/6)

As seen from the equation the two negative sign [(-)(-)] will change into a positive sign.

At the surface the position of the submarine = +49/6 feet

5 0

3 years ago