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2 years ago

14

In which expression should the exponents be multiplied?

1 answer:

gulaghasi [49]2 years ago

8 0

If we have the same base, we can do this:
(1/3)^4*(1/3)*7 = (1/3)^(4+7) = (1/3)^11
3^7/3^15 = (3^7)*(3*(-15)) = 3^(7 + (-15)) = 3^(-8) = 1/(3^8)
4^5*4^2 = 4^(5+2) = 4^7

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Find P(x)=... polynomial

Aneli [31]

Answer: D) P(x) = -23

Step-by-step explanation:

Substitute 2 for x:

1 - 2(2)^2-3(2)^2+4(2)

Exponent

1-2(4)-3(8)+4(2)

Multiply

1-8-24+8

Combine like terms

-23

<em>Hope it helps <3</em>

3 0

2 years ago

Out of 100 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of

maksim [4K]

Answer:

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Out of 100 people sampled, 42 had kids.

This means that $n = 100, \pi = \frac{42}{100} = 0.42$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.293$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.547$

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

7 0

2 years ago

A car traveled 63 miles on 3 gallon of gas. What proportion can you set up to determine how many miles, m, the car can travel on

kari74 [83]

63/3= 21
So 21 miles per gallon of gas
To find 7, you multiply it by 7
21*7= 147
147 miles on 7 gallons of gas

5 0

3 years ago

Read 2 more answers

Combime like terms to create an equivalent expression -2.5(4x-3)

Ann [662]

Answer: -10x+7.5

Step-by-step explanation:

First multiply -2.5(4x)= -10x and then -2.5x-3= 7.5 it should be -10x+7.5

3 0

2 years ago

All the prime numbers between 20 and 30

leva [86]

All the prime numbers betwemn 20 and 30 are 23 and 29

8 0

2 years ago

Read 2 more answers