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ivanzaharov [21]
3 years ago
8

A recipe for casserole calls for 2 cups of rice. The recipe makes 6 servings of casserole. how many cups of rice will you need t

o make 10 servings of casserole
Mathematics
1 answer:
ss7ja [257]3 years ago
5 0

You will need 3.333.... cups of rice to make 10 servings of casserole.

<u><em>Explanation</em></u>

The recipe which makes 6 servings of casserole, needs 2 cups of rice.

Suppose, you need x cups of rice for making 10 servings of casserole.

Now, the equation according to <u>the ratio of "cups of rice" to the "servings of casserole" </u>will be.....

\frac{x}{10}=\frac{2}{6}\\ \\ 6x= 2*10=20\\ \\ x=\frac{20}{6}=3.333.....

So, you will need 3.333.... cups of rice to make 10 servings of casserole.


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The number of text messsages that teenagers send per month is normally
ki77a [65]

Answer:

z=\frac{4415-3400}{450}=2.26

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

Step-by-step explanation:

1) 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".  

2) Calculate the z score

Let X the random variable that represent the number of text messages per month, and for this case we know the distribution for X is given by:

X \sim N(3400,450)  

Where \mu=3400 and \sigma=450

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:

z=\frac{4415-3400}{450}=2.26

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

6 0
3 years ago
Question: What is the complementary angel of 31 degrees? <br><br> A.97<br> B.67<br> C.57 <br> D.87
Alona [7]
The complement of 31° is the angle that when added to 31° forms a right angle (90° ).
6 0
3 years ago
What is an equivalent ratio to 3/5?
Elza [17]

Answer:

6/10

Step-by-step explanation:

multiply 3/5 by any whole number ratio equal to 1 to obtain an equivalent fraction.  

(2/2)*(3/5) = 6/10

or (3/3)*(2/5) = 9/15

etc.

3 0
3 years ago
I do no understand this
vovangra [49]

The equation of a line for the given slope is y=\frac{1}{2} x+1.

Solution:

Given data:

Slope (m) = \frac{1}{2}

Point = (–2, 0)

x_1=-2, y_1=0

To find the equation of the given line in the point-slope form:

<u>Point-slope formula:</u>

y-y_1=m(x-x_1)

Substitute the given values in the formula.

$y-0=\frac{1}{2} (x-(-2))

$y=\frac{1}{2} (x+2)

$y=\frac{1}{2} x+\frac{2}{2}

$y=\frac{1}{2} x+1

The equation of a line for the given slope is y=\frac{1}{2} x+1.

5 0
3 years ago
5 time 5 to the power of 2 simplified
Maksim231197 [3]
Im not sure wym but i think the answer is 20
3 0
2 years ago
Read 2 more answers
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