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salantis [7]
3 years ago
13

Find NT if MN = 12.5, QR = 16 and PO = 15.​

Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

Answer:x=11.7

Step-by-step explanation:

12.5/16=x/15

16x=187.6

x=11.7

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A rectangle whose perimeter is 110 feet. The length is 4 times as long as the width. Find the length and the width.
madreJ [45]
Set up a system of equations.
l=4w
2l+2w=110

Substitute l in to the second equation.
2(4w)+2w=110
8w+2w=110
10w=110
w=11

Substitute w back into the first equation.
l=4(11)=44

So, the length is 44 feet and the width is 11 feet.

Hope this helped!
8 0
3 years ago
The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected
Dominik [7]

Answer:

The probability that a person is audited more than twice is 0.0037 .

Step-by-step explanation:

We are given that The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year.

We are interested in the expected number of audits a person with that income has in a 16-year period

Now we are supposed to find the probability that a person is audited more than twice.

So, We will use binomial distribution

So, Probability of success =p= 2% = 0.02

So, Probability of failure = q=1-0.02=0.98

n = 16

Now we are supposed to find the probability that a person is audited more than twice i.e. P(x \geq 2)

So, P(x \geq 2)= 1-(P(x=0)+P(x=1)+P(x=2)

Formula :^nC_x p^x q^{n-x}

So,P(x \geq 2)= 1-(^{16}C_0 {(0.02)}^0 {(0.98)}^{16-0}+^{16}C_1 {(0.02)}^1 {(0.98)}^{16-1}+ ^{16}C_2 {(0.02)}^2 {(0.98)}^{16-2})P(x \geq 2)= 1-(\frac{16!}{0!(16-0)!} {(0.02)}^0 {(0.98)}^{16-0}+\frac{16!}{1!(16-1)!} {(0.02)}^1 {(0.98)}^{16-1}+\frac{16!}{2!(16-2)!} {(0.02)}^2 {(0.98)}^{16-2})

P(x \geq 2)= 1-(0.9963)

P(x \geq 2)= 0.0037

Hence the probability that a person is audited more than twice is 0.0037 .

8 0
3 years ago
Jackson bought 3 pounds of candies for $9.75. What was the price of these candies in cents per ounce?
bazaltina [42]

Answer:

3.25

Step-by-step explanation: Hope it's helpful

3 0
3 years ago
Are the number of steps in a stairway continuous or discrete data
koban [17]
Discrete data refers to things that come in whole number amounts, whereas continuous data can have fractional amounts. Discrete data would be like the number of books on a shelf.  Continuous data would be like the weight of a book in pounds.  Since there are not fractions of a step in a stairway, we'd say that this number is discrete data.
3 0
4 years ago
Read 2 more answers
.Here is a 90% confidence interval estimate of theproportion of adults who say that thelaw goes easy on celebrities: 0.645
bulgar [2K]

Answer:

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

CI is between 0.645 and 0.842. So the best estimate of the proportion is:

(0.645+0.842)/2 = 0.7435

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

5 0
3 years ago
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