D2 =81-1 find the positive value of d that makes the equation true

According to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (ap- proximately seven gallons) of sa

sladkih [1.3K]

Answer:

a) 0.11%

b) 55.99%

c) 0.25%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.

This means that $\mu = 54.3, \sigma = 14.5$

1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?

The proportion is the pvalue of Z when X = 10. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10 - 54.3}{14.5}$

$Z = -3.06$

$Z = -3.06$ has a pvalue of 0.0011

0.0011*100% = 0.11%.

2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?

The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.

X = 60

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{60 - 54.3}{14.5}$

$Z = 0.39$

$Z = 0.39$ has a pvalue of 0.6517

X = 35

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{35 - 54.3}{14.5}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.6517 - 0.0918 = 0.5599

0.5599*100% = 55.99%

3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?

The proportion is 1 subtracted by the pvalue of Z when X = 95.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{95 - 54.3}{14.5}$

$Z = 2.81$

$Z = 2.81$ has a pvalue of 0.9975

1 - 0.9975 = 0.0025

0.0025*100% = 0.25%

8 0

2 years ago

Please help . Put step by step workings please. Also I need help with both questions

Slav-nsk [51]

1. Vertex is (-3,-7), y intercept: (0,10) 2. Vertex is (-3,13) and y int is (0, -15)

8 0

2 years ago

Draw a number line -5 through 5 and mark 2x<6

inna [77]

Answer:

$x < 3$

Step-by-step explanation:

Before number line can be drawn, there is need to find the value of x in the inequality given. Thus,

$2x < 6$

Divide both sides by 2

$\frac{2x}{2} < \frac{6}{2}$

$x < 3$

The number line is indicated in the attached picture.

8 0

3 years ago

Which statement belongs in the intersection of the Venn Diagram? (4 points)

Ahat [919]

I believe its the second choice.

8 0

3 years ago

Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1226 adults

weeeeeb [17]

Answer:

(a)0.3303

(b)0.6697

Step-by-step explanation:

Point estimation is the use of sample data to calculate a single value which serves as a best estimate of a given unknown population parameter.

Total Sample=1226

Number who said that they were not confident that the food they eat in country A is safe=405.

The point estimate of those who said that they were not confident that the food they eat in country A is safe is given as $\^{p}$

(a)Point Estimate for p,

$\^{p}=\frac{405}{1226} =0.3303$

(b)Point estimate for q, $\^{q}=$ 1- (point estimate for p)

=1-0.3303

=0.6697

8 0

2 years ago