The polynomial x3 + 8 is equal to

The highest elevation in the United States is Mt. McKinley in Alaska, which measures 6,194 meters above sea

Whitepunk [10]

Answer:

the answer is D 6,280

Step-by-step explanation:

Since it says difference you subtract, 86 is below sea level so it'd be -86

the equation would be 6,194 - (-86)

6,194+ 86 = 6,280

3 0

3 years ago

A university with a high water bill is interested in estimating the mean amount of time that students spend in the shower each d

Bas_tet [7]

Answer: $(4.0845,\ 6.5755)$

Step-by-step explanation:

As per given , we have

n = 11

$\overline{x}=5.33\\\\ s=1.33$

Since population standard deviation is missing, so we use t-test.

Critical t-value for 99% confidence :

$t_{\alpha/2,\ n-1}=3.106$ [using two-tailed t-value table]

Confidence interval :

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\= 5.33\pm (3.1060)\dfrac{1.33}{\sqrt{11}}\\\\\approx5.33\pm1.2455\\\\=(5.33-1.2455,\ 5.33+1.2455)\\\\=(4.0845,\ 6.5755)$

Hence, 99% confidence interval for the mean amount of time that students spend in the shower each day.= $(4.0845,\ 6.5755)$

7 0

3 years ago

PLEASE PLEASE PLEASE HELP I WILL GIVE BRAINLIEST

Marat540 [252]

Answer:

y > 6x -100

Step-by-step explanation:

the slope intercept equation of the line is

y=mx+b

m is the slope = (y2-y1) / (x2-x1) so between the y-intercept (0,-100) and the given point (25, 50) we have m= -100-50/0-25 = -150/-25 = 6

y= 6x -100

now we have to figure the inequqlity part so take point (0, 0) that belongs to the solution and substitute in the equation

0 = 6*0 -100

0 = -100 for the equation to be true we have to make it 0 > -100, we also need to make it NOT greater or equal then because the line is doted not solid so the inequality is

y > 6x -100

4 0

3 years ago

Read 2 more answers

5. Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organ

mart [117]

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

Let $\hat p$ = sample proportion

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion = 48%

n = sample of voters = 500

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be greater than 0.5 is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } }$ ) = P(Z < 0.89) = 0.8133

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.