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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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An adult can lose or gain two pounds of water in the course of a day. Assume that the changes in water weight are uniformly dist
Levart [38]

Answer:

Standard deviation of the weight over a day is 1.15

Step-by-step explanation:

Since it is given that water weight is uniformly distributed between -2 to 2.  

So applying formula for variance of uniformly distribution as follows,  

variance=\dfrac{\left (b-a\right )^{2}}{12}

From the given data, values of a and b is , a=-2, b=2..

Substituting the values,  

variance=\dfrac{\left (2-\left (-2 \right )\right )^{2}}{12}

Now, -\left ( -2 \right )=2

variance=\dfrac{\left (2+2\right )^{2}}{12}

variance=\dfrac{\left (4\right )^{2}}{12}

variance=\dfrac{16}{12}

Dividing the fraction by 4,

variance=\dfrac{4}{3}

So, the value of variance is \dfrac{4}{3}

The formula for standard deviation is given as,

Standard\:deviation=\sqrt{variance}

Substituting the value,

Standard\:deviation=\sqrt{\dfrac{4}{3}}

Standard\:deviation=1.15470

Rounding to 2 decimal places,

Standard\:deviation=1.15

So, the value of standard deviation is 1.15.

4 0
3 years ago
Read 2 more answers
Segment XZ is bisected by point Y. If XY= 12x, and the measure of XZ= 18x-6, solve for x.​
NeX [460]

let's bear in mind that Y is a bisecting point, so it's really cutting XZ into two equal halves.

\bf \underset{\textit{\Large 18x-6}}{\boxed{X}\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}} Y\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}}\boxed{Z}} \\\\\\ 12x+12x = 18x-6\implies 24x=18x-6 \\\\\\ 6x=-6\implies x=\cfrac{-6}{6}\implies x=-1

8 0
3 years ago
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Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the
astra-53 [7]

Answer:

125

Step-by-step explanation:

120 - 90 =  25 x 5 = 125

5 0
3 years ago
What is the solution to the quadratic inequality?<br><br> 6x2≥5−13x
Sav [38]

Answer:

X>1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
F(x)=-x^2+7x-13 {Find }f(-3) it's not -25....so if that's ur answer..it's wrong
IRISSAK [1]

Answer:

-43

Step-b-y-step explanation:

f(x)= -x^2+7x-13  so

f(-3)= - (-3)^2 + 7(-3) - 13

= -9 - 21 - 13

= -43.

8 0
3 years ago
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