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3 years ago

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The area of a right triangle is 49 square

1 answer:

Katarina [22]3 years ago

7 0

Answer:

To find the base of a triangle you would multiply the base and height then divide it by 2 so the base is 49 sm and since the height is twice that the height is 98 so then you would do 49 times 98 and thats 4,802‬ then you would divide that by 2 so 4802/2 is 2401 so the area of the triangle is 2401 sm

Step-by-step explanation:

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Construct the 99% confidence interval estimate of the population proportion p if the sample size is n=900 and the number of succ

oee [108]

Answer:

An 99% confidence interval of the given proportion

(0.355 , 0.385)

Step-by-step explanation:

Given sample size n= 900

the number of successes in the sample is x=333

The proportion P = $\frac{x}{n} = \frac{333}{900} = 0.37$

Q = 1-P =1 - 0.37 = 0.63

<u>Confidence interval</u>:-

99% of confidence interval zα = 2.93

$(P - z_{\alpha } \sqrt{\frac{PQ}{n} } , P + z_{\alpha } \sqrt{\frac{PQ}{n} })$

$(0.37 - 2.93 \sqrt{\frac{0.37(0.63}{900} } ,0.37 +2.93 \sqrt{\frac{0.37(0.63}{900} } })$

(0.37 - 0.015 , 0.37 + 0.015)

(0.355 , 0.385)

<u>Conclusion</u>:-

<u>An 99% Confidence interval (0.355 , 0.385)</u>

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3 years ago

If nis the larger of two consecutive numbers, write an expression for the other number.

allochka39001 [22]

Answer:

n-1

Step-by-step explanation:

Consecutive means that they have a difference of one, so the expression will be n-1.

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3 years ago

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( 2x + 1 ) + ( 3x+2 ) =

MrRa [10]

Answer: 5x+3

Let's go over this problem step by step:

First, you need to combine all the line terms.

2x + 1 + 3x + 2

Next, you get this equation:

( 2x + 3x ) + ( 1 + 2 )

2x and 3x is 5x. 1 and 2 is 3.

So your final answer is 5x+3.

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3 years ago

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and

Alika [10]

Answer:

25.5 days

Step-by-step explanation:

Mean number of days (μ) = 22 days

Standard deviation (σ) = 6 days

Z-score for the 72nd percentile (according to tabulated values) = 0.583

The z-score for any number of days, X, is determined by:

$z=\frac{X-\mu}{\sigma}$

The value of X that is greater than 72% of the trial times is:

$0.583=\frac{X-22}{6}\\ X=25.5\ days$

Therefore, 72% of all of these types of trials are completed within 25.5 days.

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4 years ago