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2 years ago

What is angle A equal? Thanks :)

Mathematics

2 answers:

alukav5142 [94]2 years ago

8 0

Angle A equals = 73 degrees

Alex Ar [27]2 years ago

7 0

Angle A and angle B sums up to 180 (interior angles)

6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18

angle A = 6(18)-35 = 73 degrees

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Theresa is taking a multiple-choice test and does not know an answer. She can guess answer A, B, C, D, or E. Wht is the probabil

joja [24]

Probability of guessing correctly is 1/5
Probability of guessing incorrectly is 4/5

6 0

4 years ago

Suppose that x and y vary inversely, and x = 2 when y = 9. Write the function that models the inverse variation

stiv31 [10]

Answer: 18/3 or 6

Step-by-step explanation:

y= x/k

[as y various inversaly with x]

y=9;x=2

k=yx=9×2

k=18

y= x/18

when x=3 y= 18/3

y=6

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3 years ago

If the mass of a 25 meter long wire is 5 kg then find its mass per<br> meter.

IgorC [24]

Answer:

0.2 kg per meter

Step-by-step explanation:

5÷25=0.2

5 0

3 years ago

What is the solution of the proportion? 6/a = 18/27

Marta_Voda [28]

Answer:

a=9

Step-by-step explanation:

To solve this proportion, we have to get the variable, a, by itself.

First, cross multiply.

6/a=18/27

Multiply the denominator of the first fraction by the numerator of the second, and the numerator of the second by the denominator of the first.

a*18=6*27

18a=162

Now, 18 and a are being multiplied. In order to get a by itself, perform the opposite of what is being done. They are being multiplied, so the opposite would be division. Divide both sides by 18.

18a/18=162/18

a=162/18

a=9

So, the proportion, with 9 substituted in for a, will be:

6/9=18/27

6 0

3 years ago

Read 2 more answers

n = 23 H0: σ2 ≥ 66 s2 = 60 Ha: σ2 < 66 The test statistic has a value of _____. a. 24.20 b. 24.00 c. 20.91 d. 20.00

Arada [10]

Answer:

$\chi^2 =\frac{23-1}{66} 60 =20.00$

d.20.00

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=23$ represent the sample size

$\alpha$ represent the confidence level

$s^2 =60$ represent the sample variance obtained

$\sigma^2_0 =66$ represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance is less than 66, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \geq 66$

Alternative hypothesis: $\sigma^2$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{23-1}{66} 60 =20.00$

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 23-1=22. And since is a left tailed test the p value would be given by:

$p_v =P(\chi^2$

The best option is:

d. 20.00

8 0

4 years ago