What is 230−−√+1030−−√ in simplified radical form?

If your ice cream maker makes 6 pints of ice cream how many liters does it make?

elena55 [62]

2.83906 liters because there are 0.473176 liters in 1 pint.

6 0

3 years ago

Michelle made 26 more sales calls last month than Allen. Together, they made 120 calls. How many calls were made by Michelle?

arlik [135]

Answer:

Step-by-step explanation: OK so Allena and micheal has 120 all together right

and micheal made 26 more right

So they had the same number but its changed when micheal made 26 more calls

so 120-26=73

so they both cant have 73

So we would divided 73 by 2

since its 2 of them

So its M=47 and A=47

than add the 26 calls to Michael

and it would be 73

and than you add 47 (when they say add them all together)

from allen

and get 120

so the answer is 73 calls by micheal.

7 0

3 years ago

Read 2 more answers

When a figure is rotated, does every point move the same distance? Explain.

scoray [572]

Answer:

D. No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.

Step-by-step explanation:

Rotation is a type of transformation which involves turning a given figure about a reference point to produce its image. This would produce an image with the same size as the object.

A given figure or shape has different parts or points. Since each point on the figure is at different distance to the reference point, thus they do not cover the same distance but move through the same angle of rotation. Each individual point move through the same angle but do not cover the same distance during rotation.

Therefore, the appropriate option is D.

8 0

3 years ago

The question is on the picture

Colt1911 [192]

Answer:

no solution is the correct answer

3 0

3 years ago

The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A

Aloiza [94]

Answer:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

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

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

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 problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

$\mu=37$ and $\sigma=28$ and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

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

And we want to find this probability:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

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

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

4 0

3 years ago