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3 years ago

In an isosceles trapezoid, each pair of base angles is __________. A. right B. Supplementary C. complimentary D. congruent

Mathematics

1 answer:

german3 years ago

7 0

I'm totally sure that inn an isosceles trapezoid, each pair of base angles is <span>D. congruent</span>

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PLEASE SOMEONE HELP ME ANSWER THIS !!!!

Mumz [18]

Step-by-step explanation:

Part A: Linear Equation.

One of the points is (0,15). This means 0,15 is the y intercept so b=15.

We can find the slope

$\frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10$

So our equation is

$y = - 10x + 15$

Part B: Exponential Equation

We know that

$15 = a \times b {}^{0}$

B to the zero power is 1 so

$15 = a$

This means a =15. Now let find b.

$5 = 15 \times b {}^{1}$

$\frac{1}{3} = b$

So the equation is

$y = 15( \frac{1}{3} ) {}^{x}$

6 0

2 years ago

Solve the equation. 2(y – 4) = 4 SHOW YOUR WORK!

ahrayia [7]

2(y−4)=4

(2)(y)+(2)(−4)=4

2y+−8=4

2y−8=4

2y−8+8=4+8

2y=12

$\frac{2y}{2}=\frac{12}{2}$

y=6 is correct answer.

Hope this helps!

Thanks!

8 0

2 years ago

Express 9 2/3 out of 100 as a percent .

creativ13 [48]

Answer:

9 2/3% (or 9.66666666666%)

Step-by-step explanation:

A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.

4 0

2 years ago

Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

3 0

2 years ago

Find the point estimate for the true difference between the given population means. Round your answer to three decimal places.

uranmaximum [27]

Answer:

Point Estimate for different between population means = - 0.99

Step-by-step explanation:

We are given data of two samples and we have to find the best point estimate of the true difference between two population means. Remember that in absence of data about population the best estimator is the sample data. So, we will find the means of both sample data and find the difference of that means. This difference between the means of sample data will be the best point estimate for the true difference between the population means.

Formula to calculate the mean is:

$Mean=\frac{\text{Sum of Values}}{\text{Number of Values}}$

Mean of Sample 1:

$Mean=\frac{1414}{11}=128.55$

Mean of Sample 2:

$Mean=\frac{1684}{13}=129.54$

Therefore the best point estimate for difference between two population means would be = Mean of Sample 1 - Mean of Sample 2

= 128.55 - 129.54

= - 0.99

8 0

2 years ago