How many equal sides does a rhombus have

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)? 3 6 112 121

Viktor [21]

Answer:

121

Step-by-step explanation:121 ! just got it right.

8 0

3 years ago

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The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 256.3 and a standard deviation of

AnnyKZ [126]

Answer:

a) In the interval ( 55,9 ; 456,7 ) we will find 99,7 % of all values

b) In the interval ( 122,7 ; 389,9 ) we find 95,4 % of all values

Step-by-step explanation:

For a Normal distribution N (μ ; σ ) the Empirical rule establishes that the intervals:

( μ ± σ ) contains 68,3 % of all values

( μ ± 2σ ) contains 95,4 % of all values

( μ ± 3σ ) contains 99,7 % of all values

If N ( 256,3 ; 66,8 )

σ = 66,8 ⇒ 3*σ = 3 * 66,8 = 200,4

Then: 256,3 - 200,4 = 55,9

And 256,3 + 200,4 = 456,7

a) In the interval ( 55,9 ; 456,7 ) we will find 99,7 % of all values

b) 2*σ = 2 * 66,8 = 133,6

Then 256,3 - 133,6 = 122,7

And 256,3 + 133,6 = 389,90

Then in the interval ( 122,7 ; 389,9 ) we find 95,4 % of all values

4 0

3 years ago

Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority

Andre45 [30]

Answer:

The 95% confidence interval of the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

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 interval $1-\alpha$ , 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:

A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. This means that $n = 4000$ and $\pi = \frac{2250}{4000} = 0.5625$

Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval

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:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5625 - 1.96\sqrt{\frac{0.5625*0.4375}{4000}} = 0.5471$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5625 + 1.96\sqrt{\frac{0.5625*0.4375}{4000}} = 0.5779$

The 95% confidence interval of the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

8 0

4 years ago

Butch wanted to buy a book about football. The book was $25.00 new. His friend Jake

Lady_Fox [76]

Answer:

B) 40%

7 0

3 years ago

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What is the solution to the equation x+14=63

Umnica [9.8K]

The correct answer is x=49

4 0

3 years ago