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zaharov [31]
3 years ago
15

A truck is leaving a post office and heading out to deliver mail. The table shows the truck's distance d from the post office at

time t. Calculate the average rate of change over the interval from 8 to 15 minutes. t(min) d (km) 0 0 8 7 11 11 15 14 22 16 (1 point) The rate of change is about 0.8 kilometers per minute. The rate of change is 7 kilometers per minute. The rate of change is 3.5 kilometers per minute. The rate of change is 1 kilometer per minute​
Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer:

eliver mail. The table shows the truck's distance d from the post office at time t. Calculate the average rate of change over the interval from 8 to 15 minutes. t(min) d (km) 0 0 8 7 11 11 15 14 22 16 (1 point) The rate of change is about 0.8 kilometers per minute. The rate of change is 7 kilometers

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According to the National Vital Statistics, full-term babies' birth weights are Normally distributed with a mean of 7.5 pounds a
Sav [38]

Answer:

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 7.5, \sigma = 1.1

What is the probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

This is the pvalue of Z when X = 8.6 subtracted by the pvalue of Z when X = 6.4. So

X = 8.6

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

Z = \frac{8.6 - 7.5}{1.1}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 6.4

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

Z = \frac{6.4 - 7.5}{1.1}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

6 0
3 years ago
Experimental data are collected as:
aliina [53]

Answer:

y = 1.00114x + 1.75243

Step-by-step explanation:

Given

The x and y values

Required

The regression line equation

Because of the length of the given data, I will run the analysis using online tools, then analyze the result.

From the analysis, we have:

\sum x = 5050

\sum y = 5231.1011

\bar x = 50.5

\bar y = 52.311

SSX = 83325 --- Sum of squares

SP = 83419.7626 --- Sum of products

The regression equation is calculated as:

y = ax + b

Where:

a = \frac{SP}{SSX}

So, we have:

a = \frac{83419.76}{83325}

a = 1.00114

b = \bar y - a * \bar x

b = 52.31 - (1.00114*50.5)

b = 1.75243

So:

y = ax + b becomes

y = 1.00114x + 1.75243

6 0
2 years ago
Normally I would do a 100 point give away but I'm feeling sad today D: Please help cheer me up. I might think about doing a 100
ch4aika [34]

Answer:

um hi I don't know what to say so I put a picture of my dog

7 0
3 years ago
Read 2 more answers
Find the sum of the arithmetic series in which a1 = –68, d = –3, and n = 20.
harkovskaia [24]

Step-by-step explanation:

Sum of 20 terms in thr arithmetic sequence adds up to -1930

6 0
2 years ago
Please help!
Vladimir [108]

Answer:

About $4425.69

Step-by-step explanation:

Input the values into the equation to get: $4253(1+0.01)^4=

$4425.69(when rounding to the nearest cent)

6 0
2 years ago
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