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3 years ago

for what value of x is <1 complementary to <2, ifm <1=5x+4 and m <2=7x+2 a.3 b7. c.1 d.14.5

1 answer:

8 0

Complementary angles are angles whose sum is equal to 90°.

m∠1 = 5x + 4
m∠2 = 7x + 2

m∠1 + m∠2 = 90°.

5x + 4 + 7x + 2 = 90
12x + 6 = 90
12x = 90 - 6
12x = 84
12x / 12 = 84/12
x = 7 Choice B.

m∠1 = 5x + 4 = 5(7) + 4 = 35 + 4 = 39
m∠2 = 7x + 2 = 7(7) + 2 = 49 + 2 = 51

39 + 51 = 90
90 =90

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Use the information provided to determine a 95% confidence interval for the population variance. A researcher was interested in

Leno4ka [110]

Answer:

The 95% confidence interval for the population variance is (8.80, 32.45).

Step-by-step explanation:

The (1 - α)% confidence interval for the population variance is given as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

It is provided that:

n = 20

s = 3.9

Confidence level = 95%

⇒ α = 0.05

Compute the critical values of Chi-square:

$\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2, (20-1)}=\chi^{2}_{0.025,19}=32.852\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{1-0.05/2, (20-1)}=\chi^{2}_{0.975,19}=8.907$

*Use a Chi-square table.

Compute the 95% confidence interval for the population variance as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

$\frac{(20-1)\cdot (3.9)^{2}}{32.852}\leq \sigma^{2}\leq \frac{(20-1)\cdot (3.9)^{2}}{8.907}\\\\8.7967\leq \sigma^{2}\leq 32.4453\\\\8.80\leq \sigma^{2}\leq 32.45$

Thus, the 95% confidence interval for the population variance is (8.80, 32.45).

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3 years ago

What words definition is place where water is found in an otherwise dry area? #1

Sonja [21]

Oasis- fertile spot in a desert where water is found.

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3 years ago

suppose you have a bag that hold 27 pieces of candy: 1 cream soda, 14 apple, and 12 root beer. you reach into the bag to pull ou

Alex787 [66]

I order to solve this you have to find out how how much root beer there is to the total amount of candy. 12/27. Then you find out what the percentage of root beer there is by dividing 12 by 27. It’ll give you a decimal point. Percentage has a maximum of 100%. And you’ll find out what percent based on this decimal. Factor it out of 1. The percentage you get is .44. By factoring out of 1 you can find out that the percentage is 44%. So the probability of finding a root beer out of all the candy is roughly 44%

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3 years ago

Which one is greater 0.09 or 0.091

dedylja [7]

Answer:

0.091

Step-by-step explanation:

fill in and make them both thousandths.0.090 and 0.091The second one is larger. 0.091

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2 years ago

Whats the reciprocal of 1 8/11

Juliette [100K]

First, change the mixed fraction into improper fraction. Change the whole number into a fraction, and add.

1 8/11 = 11/11 + 8/11 = 19/11

To find the reciprocal, flip the fraction.

The reciprocal of 19/11 is 11/19

hope this helps

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3 years ago

Read 2 more answers