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3 years ago

10. What is the missing statement in the proof?

Mathematics

1 answer:

Paraphin [41]3 years ago

7 0

Answer:

∠3 ≅ ∠2.

Step-by-step explanation:

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PLEASE HELP!!! I don't get this question at all!!

Luda [366]

88 degrees is the answer. You would start by setting up the equation as (5x+7)+(8x+8)+(3x+5)=180 because all angles of a triangle have a sum of 180 degrees. From there you combine like terms which would leave the answer of being 16x+20=180 then you subtract the 20 from 180 to get x by itself. Then that would leave you with 16x=160 then you divide both sides by 16 to get x=10. From there you plug 16 into the x in the planetarium equation which is 8(10)+8 which equals 88 degrees

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3 years ago

A USA Today/CNN/Gallup survey of 369 working parents found 200 who said they spend too little time with their children because o

KengaRu [80]

Answer: a. 0.542

b. 0.051

c. $(0.491,\ 0.593)$

Step-by-step explanation:

Let p be the population proportion of parents spend too little time with their children because of work commitments

As per given , we have

n= 369

$\hat{p}=\dfrac{200}{369}=0.542005420054\approx0.542$

Since the sample proportion is the best estimate for the population proportion.

So , the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments = 0.542

z-value for 95% confidence interval : $z_{\alpha/2}=1.96$

Margin of error : $E=z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$E=(1.96)\sqrt{\dfrac{0.542(1-0.542)}{369}}\\\\=0.0508364564574\approx0.051$

The margin of error = 0.051

Confidence interval : $\hat{p}\pm E$

$0.542\pm0.051\\\\=(0.542-0.051,\ 0.542+0.051)\\\\=(0.491,\ 0.593)$

95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments : $(0.491,\ 0.593)$

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4 years ago

Gary bought a bond with a face value of $12,000 and a coupon rate of 6.5%. The bond will mature in 10 years.

Harlamova29_29 [7]

Answer:d

Step-by-step explanation:

12,000 x 6.5% = 780 divided by 2 =390

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3 years ago

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dem82 [27]

All you have to do is multiply your number and then add them together !!

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4 years ago

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kap26 [50]

DC, run your finger from point d, all the way around the circle to point c. Basically, you just drew a 180 degree arc(either clockwise or counter-clockwise will work).

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3 years ago

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