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2 years ago

find the specified lengths and measures. Given: triangle ABC is congruent with triangle DEF. Find: BC, BA, and angle D

Mathematics

1 answer:

SIZIF [17.4K]2 years ago

5 0

Answer:

BC=5 BA=11 D=178

Step-by-step explanation:

I might not be completely right but I think so.

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How to do break even analysis

Ksenya-84 [330]

Answer:

To calculate a break-even point based on units: Divide fixed costs by the revenue per unit minus the variable cost per unit. ...

When determining a break-even point based on sales dollars: Divide the fixed costs by the contribution margin.

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3 years ago

Susan wants to conduct a survey to find how much time the students of her school spent eating in a local cafeteria. Which of the

jekas [21]

Answer:

(D)How many hours during the week do you eat in the cafeteria?

Step-by-step explanation:

This question directly gives her the information she needs. She wants to find out how much time students spend eating in the cafeteria and that is exactly what this question is asking.

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3 years ago

If your Gross Pay for a week at work is $340, and you have to pay 23% in taxes, what is your Net Pay (what you take home)?

Paladinen [302]

Answer:

$261.80 Net pay

Step-by-step explanation:

340 x 0.23 = $78.20 in taxes

$340 - $78.20 = $261.80 Net pay

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2 years ago

Read 2 more answers

You are given the following information obtained from a random sample of 5 observations. 20 18 17 22 18 At 90% confidence, you w

Margaret [11]

Answer:

The null hypothesis is

$H_o : \mu = 21$

The Alternative hypothesis is

$H_a : \mu< 21$

$\sigma_{\= x} = 0.8944$

$t = -2.236$

Yes the mean population is significantly less than 21.

Step-by-step explanation:

From the question we are given

a set of data

20 18 17 22 18

The confidence level is 90%

The sample size is n = 5

Generally the mean of the sample is mathematically evaluated as

$\= x = \frac{20 + 18 + 17 + 22 + 18}{5}$

$\= x = 19$

The standard deviation is evaluated as

$\sigma = \sqrt{ \frac{\sum (x_i - \= x)^2}{n} }$

$\sigma = \sqrt{ \frac{ ( 20- 19 )^2 + ( 18- 19 )^2 +( 17- 19 )^2 +( 22- 19 )^2 +( 18- 19 )^2 }{5} }$

$\sigma = 2$

Now the confidence level is given as 90 % hence the level of significance can be evaluated as

$\alpha = 100 - 90$

$\alpha = 10$ %

$\alpha =0.10$

Now the null hypothesis is

$H_o : \mu = 21$

the Alternative hypothesis is

$H_a : \mu< 21$

The standard error of mean is mathematically evaluated as

$\sigma_{\= x} = \frac{\sigma}{ \sqrt{n} }$

substituting values

$\sigma_{\= x} = \frac{2}{ \sqrt{5 } }$

$\sigma_{\= x} = 0.8944$

The test statistic is evaluated as

$t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{ 19 - 21 }{ 0.8944 }$

$t = -2.236$

The critical value of the level of significance is obtained from the critical value table for z values as

$z_{0.10} = 1.28$

Looking at the obtained value we see that $z_{0.10}$ is greater than the test statistics value so the null hypothesis is rejected

6 0

3 years ago

Factor the expression 18x^2 - 8

diamong [38]

Answer:

2(3x-2(3x+2)

Step-by-step explanation:

1) 18x^2-8

2) 2(9x^2-4)

3) 2(3x-2)(3x+2)

6 0

2 years ago