The gas tank in Sharon’s car can hold up to 16.5 gal of gas. About how many liters of gas can the tank hold?

1. a single standard number cube is rolled, what is the probability of getting 4 or 5?

True [87]

There are 6 sides on a standard number cube. Numbers are listed on it from 1-6. This being said, 4 and 5 together make up 2/6 of the cube. Since this fraction can be reduced, this leaves us with C. 1/3

5 0

3 years ago

Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.

Artyom0805 [142]

Answer:

$P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)$

And we can find this probability on this way:

$P(Z>-0.75)=1-P(Z$

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".

Solution to the problm

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

$X \sim N(75,8)$

Where $\mu=75$ and $\sigma=8$

We are interested on this probability

$P(X>69)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

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

$P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)$

And we can find this probability on this way:

$P(Z>-0.75)=1-P(Z$

4 0

3 years ago

Write an equation in point slope form using (-2,3) (0,-3) and has a slope of 0/-2

Fittoniya [83]

Answer:

y-3=-0/2(x+2)

Step-by-step explanation:

big brain

8 0

3 years ago

A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of e

nasty-shy [4]

Answer:

For 12 people, the identical recipe that would serve this amount would be 2 liters of lemon-lime soda, 1 pints of sherbet, and 3 cups of ice.

To figure out the corresponding proportion from 24 servings to 12 servings, first we divide 24 by 12, which is 2. The number 2 represents how many times bigger the original recipe is to the smaller 12 servings version, which mean the 24 people version would be twice as big compared to the 12 people serving. So all we have to do to the recipe is divide it in half. And so 4 liters divided by 2 is 2 liters of lemon-lime soda, 2 pints of sherbet becomes 1 pint, and 6 ice cups turns into 3 cups of ice.

Step-by-step explanation:

5 0

3 years ago

En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cual es el ancho real del cas

vodomira [7]

Responder:

1" = 83 ft

10.5" = 83*10.5=871.5 ft

Explicación paso a paso:

Espero que esto te ayude ¡UwU! Saludos, Jaclyn

5 0

3 years ago