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3 years ago

In the diagram below, AC is perpendicular to BD. Find the measure of angle AEB.

Mathematics

1 answer:

Rzqust [24]3 years ago

7 0

Hi there!

The measure of angle AEB is equal to 90 because perpendicular lines create 90 degree angles.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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What is the value of the expression

Y_Kistochka [10]

Answer:

0.8

Step-by-step explanation:

We begin with the expression: $0.5+(-\frac{3}{4} )+0.25-(-\frac{4}{5} )$

First, we need to convert the fractions into decimals to make this easier.

$-\frac{3}{4}=-0.75$ and $-\frac{4}{5} =-0.8$

Once we have this, we can simplify it

$0.5-0.75+0.25-(-0.8)\\\\0.5-0.75+0.25+0.8\\\\0.75-0.75+0.8\\\\0.8$

4 0

3 years ago

A town recently dismissed 9 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of ag

raketka [301]

Answer: 0.1340

Step-by-step explanation:

The binomial distribution formula is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The number of employees over 50 years of age =7

The probability of employees over 50 years of age = $\dfrac{7}{7+15}=0.318$

Number of dismissed employees : n= 9

Now, the required probability will be :

$P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340$

Thus, the probability that exactly 1 employee was over 50 = 0.1340

3 0

2 years ago

someone, please help me asap, that would be great, offering 15 points, and please do not attach a link for the answer, thanks.

algol13

Pretty sure the answer is 288

7 0

2 years ago

What is the area of the shaded region of the figure

Alborosie

So we're looking at two rectangles, one cut out of the other, so all you do is find the area of the big one, base times height equals area, minus the area of the small one, base times height equals area. So the equation you have to solve for is this,

Area=(12.6X14)-(3X8.4)

6 0

2 years ago

Read 2 more answers

Suppose a lawn and garden company wants to determine the current percentage of customers who use fertilizer on their lawns. How

marishachu [46]

Answer:

n=601

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.96})^2}=600.25$

And rounded up we have that n=601

3 0

2 years ago