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Keith_Richards [23]
3 years ago
15

28 elementary schools to 16 middle school

Mathematics
1 answer:
insens350 [35]3 years ago
4 0

Answer:

\frac{7}{4}

Step-by-step explanation:

Here is the complete question: 28 elementary schools to 16 middle schools, write the ratio in simplest form.

Given ratio= elementary schools: middle schools:: 28:16

The ratio can be written as \frac{28}{16}

Now to write \frac{28}{16} into simplest form, we need to divide both numerator and denominator by 4.

∴ elementary schools: middle schools= \frac{\frac{28}{4} }{\frac{16}{4} }

Hence, we get simplest ratio of elementary schools to middle schools= \frac{7}{4}

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There are 4 colas, 1 ginger ale, 7 root beers, and 6 cherry sodas in a cooler. What are the odds of choosing a root beer?
motikmotik
Add all of the pops together

4+1+7+6=18

There are 7 root beers. So, the odds of choosing a root beer is 7 out of 18. or 7/18.
8 0
3 years ago
Read 2 more answers
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3
RSB [31]

Answer:

\Large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}

Step-by-step explanation:

Hello,

Based on the indication, we can write this polynomial as below, k being a real number that we will have to identify (degree = 3 and we have three zeroes -3, -1, and 2).

   \Large \boxed{k(x+3)(x+1)(x-2)}

We know that the point (1,10) is on the graph of this function, so we can say.

k(1+3)(1+1)(1-2)=10}\\\\4*2*(-1)*k=10\\\\-8k=10\\\\k=\dfrac{10}{-8}=-\dfrac{5}{4}

Then the solution is:

\large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
Item 8 Solve for x. Use the quadratic formula. 2x2−5x−9=0 Enter the solutions, in simplified radical form, in the boxes.
Lubov Fominskaja [6]

Answer:

5+√97/4

Also 5-√97/4

Step-by-step explanation:

The Quadratic formula is x=-b+-√b^2-4ac/2a

This means that we should plug the values for A B AND C into the formula

We can work out that

<u><em>A = 2</em></u>

<u><em>B=-5</em></u>

<u><em>C=-9</em></u>

Once we have put these into the formula we get

5+√97/4 (all over 4) aka 3.71

Also 5-√97/4 (all over 4) aka -1.21

7 0
3 years ago
Read 2 more answers
!NEED HELP URGENTLY!<br> p − 10p + -5p + 14p − -9p − 2 = -20
bekas [8.4K]

Answer:

p = -2

Step-by-step explanation:

p − 10p + -5p + 14p − -9p − 2 = -20

-9p + 9p + 9p = -20 + 2

9p = -18

p = -2

7 0
3 years ago
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for t
rjkz [21]

Answer:

COV (all stocks) = 0.55

COV (stocks and bonds) = 0.82

Step-by-step explanation:

Coefficient of Variation is used to measure variability.

It is defined as the ration of standard deviation and the mean.

It can be used to compare variability of two population or two samples.

Formula:

\text{Coefficient of Variation} = \displaystyle\frac{\text{Standard Deviation}}{\text{Mean}}

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

x: 14, 0, 39, 25, 32, 27, 28, 14, 14, 15

Mean = \frac{208}{10} = 20.8

Standard~Deviation = \sqrt{\frac{1169.6}{9} } = 11.39

Coefficient~of~Variation = \frac{11.39}{20.8} = 0.55

y = 6, 2, 29, 17, 26, 17, 17, 2, 3, 5

Mean = \frac{124}{10} = 12.4

Standard~Deviation = \sqrt{\frac{924.4}{9} } = 10.13

Coefficient~of~Variation = \frac{10.13}{12.4} = 0.82%

Since coefficient of variation of x is less compared to y, thus it could be said bonds does not reduce overall risk of an investment portfolio.

6 0
3 years ago
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