Amir jogged 10 blocks in 6 minutes at that ratio how long would it take Amir to jog 60 blocks

hompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 125 millimeters,

choli [55]

Answer:

$P(-2.012$

So since we want the probability that "the sample mean would differ from the population mean by greater than 2.2 millimeters". Then we use the complement rule and we got

P=1-0.9558=0.0442

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the diameter of a population, and for this case we know the distribution for X is given by:

$X \sim N(125,49)$

Where $\mu=125$ and $\sigma=7$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

On this case $\bar X \sim N(125,\frac{7}{\sqrt{41}}=1.093)$

Solution to the problem

We can begin the problem finding this probability

$P(\mu -2.2$

We can use the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(125-2.2$

$=P(\frac{122.8-125}{\frac{7}{\sqrt{41}}}$

And we can find this probability on this way:

$P(-2.012$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-2.012$

So since we want the probability that "the sample mean would differ from the population mean by greater than 2.2 millimeters". Then we use the complement rule and we got:

P=1-0.9558=0.0442

7 0

3 years ago

A bakery uses 70% of its milk in one week. They now have 36 quarts of milk left. rt C There are 4 quarts in a gallon. How many g

marysya [2.9K]

Answer:

21

Step-by-step explanation:

8 0

3 years ago

For a certain drug, the rate of reaction in appropriate units is given by Upper R prime (t )equalsStartFraction 2 Over t plus 1

Tems11 [23]

Answer:

a) 8.13

b) 4.10

Step-by-step explanation:

Given the rate of reaction R'(t) = 2/t+1 + 1/√t+1

In order to get the total reaction R(t) to the drugs at this times, we need to first integrate the given function to get R(t)

On integrating R'(t)

∫ (2/t+1 + 1/√t+1)dt

In integration, k∫f'(x)/f(x) dx = 1/k ln(fx)+C where k is any constant.

∫ (2/t+1 + 1/√t+1)dt

= ∫ (2/t+1)dt+ ∫ (1/√t+1)dt

= 2∫ 1/t+1 dt +∫1/+(t+1)^1/2 dt

= 2ln(t+1) + 2(t+1)^1/2 + C

= 2ln(t+1) + 2√(t+1) + C

a) For total reactions from t = 1 to t = 12

When t = 1

R(1) = 2ln2 + 2√2

≈ 4.21

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

R(12) - R(1) ≈ 12.34-4.21

≈ 8.13

Total reactions to the drugs over the period from t = 1 to t= 12 is approx 8.13.

b) For total reactions from t = 12 to t = 24

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

When t = 24

R(24) = 2ln25 + 2√25

≈ 16.44

R(12) - R(1) ≈ 16.44-12.34

≈ 4.10

Total reactions to the drugs over the period from t = 12 to t= 24 is approx 4.10

3 0

3 years ago

What is the fraction of 4.8

kenny6666 [7]

To get the improper fraction of 4.8 you can first get the mixed number of 4 and 4/5. You must then convert 4 into fifths and add the two fractions together 4 times 5 is twenty so you must add 20/5 plus 4/5 and the improper fraction you end up with is 24/5.

4 0

3 years ago

Read 2 more answers

Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi.

marishachu [46]

Answer:

$\huge\boxed{\sf d = 141\ feet}$