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Katarina [22]
3 years ago
14

(-6, 1) and 3, 5) M= rise/run=(y2-y1)/(x2-x1)

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

4/9

Step-by-step explanation:

The slope of these points would be: (5-1)/(3+6) = 4/9

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How Important Is Regular Exercise? In a recent poll1 of 1000 American adults, the number saying that exercise is an important pa
Elza [17]

Answer:

Step-by-step explanation:

Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.

Sample proportion = \frac{753}{1000} =0.753

To find 90% confidence interval we must find std error of proportion first

As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753

Std error of proportion= \sqrt{0.753*0.247/1000} \\=0.01363

90% Z critical value = 1.645

Margin of error = 1.645*0.01363 = 0.0224

Confidence interval lower bound = 0.753-0.0224=0.731

Upper bound = 0.775

6 0
3 years ago
What is the value of d?
icang [17]

Answer:

d=5

Step-by-step explanation:

7 0
2 years ago
A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 865, \pi = \frac{408}{865} = 0.4717

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0
3 years ago
Find f(3) given that f(3) = -x^4 + 3x^3 + x^2 - 8x - 16.
Hitman42 [59]

Answer: -31

<u>Step-by-step explanation:</u>

f(x) = -x⁴ + 3x³ + x² - 8x - 16

f(3) = -(3)⁴ + 3(3)³ + (3)² - 8(3) - 16

     =  -81  +  81     + 9   -  24  - 16

     = -31

6 0
2 years ago
How can i solve this equation? please help<br> -3&lt;3x+3&lt;12
Pani-rosa [81]
Then move all terms not containing x from the center section of the inequality. 
-2<x<3
3 0
3 years ago
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