Of the last 15 trains to arrive at Springfield Station, none of them were on time.

A baseball team won 8 games and lost 6. If the team continues at this ratio, how many wins will the team have after playing 21 g

DIA [1.3K]

Answer:

12 wins and 9 losses.

Step-by-step explanation:

Because they are winning 57.14% of there games so if 8 out of 14=57.14% then that means if they would have still one at the exact pace then.

12 wins out of 21 would mean they would have one 57.14% of there games.

Hope this helps have a great afternoon:)

4 0

2 years ago

The area shaded purple contains the solutions to this system of equations. Which ordered pair is a solution to the system?

Ksivusya [100]

Answer: -60,20

Step-by-step explanation:

3 0

3 years ago

Draw the figure with their measurements and find their volume

babunello [35]

1) Volume = L × W × H = 8 × 3 × 5 = 120 m³

2) Volume = s³ = 17³ = 17 × 17 × 17 = 4913 cm³

3) Volume = s³ = 30³ = 30 × 30 × 30 = 27000 cm³

4) Volume = L × W × H = 13 × 5 × 7 = 455 cm³

5) Volume = s³ = 15³ = 15 × 15 × 15 = 3375 cm³

Formula's applied:

(a) Volume of rectangle: Length × Width × Height

(b) Volume of Cube: (side)³

5 0

2 years ago

Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1

svet-max [94.6K]

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that $\mu = 8, \sigma = 1.1$

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

$n = 5$ means that $s = \frac{1.1}{\sqrt{5}} = 0.4919$

This probability is the pvalue of Z when X = 9.3. So

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

By the Central Limit Theorem

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

$Z = \frac{9.3 - 8}{0.4919}$

$Z = 2.64$

$Z = 2.64$ has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

$n = 6$ means that $s = \frac{1.1}{\sqrt{6}} = 0.4491$

This probability is 1 subtracted by the pvalue of Z when X = 9. So

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

$Z = \frac{9 - 8}{0.4491}$

$Z = 2.23$

$Z = 2.23$ has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

8 0

3 years ago

An unmanned submarine ascends from the ocean floor at a rate of 2 meters per second. If the ocean floor is 4220 feet below sea l

KengaRu [80]

Answer:

a=4220-2t

This would be if we are finding the altitude of the submarine from the surface of the water(how many meters away from the surface it is). I don't know what it would be if you want to know from the bottom of the ocean.

4 0

3 years ago

Read 2 more answers