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Ierofanga [76]
3 years ago
6

At Brighton Middle School, Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and

12 chose science. He used this data to draw the inference that about 25% of middle school students will indicate science is their favorite subject. If there are 200 students all together, did he make a reasonable inference?
Mathematics
2 answers:
Andrew [12]3 years ago
8 0

Answer:

The fourth option

"Yes, Mr. yule's sample is random and representative of the population."

bogdanovich [222]3 years ago
4 0
Yes he made a reasonable inference
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The areas of two similar triangles are 18 cm2 and 8 cm2. One of the sides of the first triangle is 4.5 cm. What is the length of
muminat

\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\---------------------------------

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{large}{small}\qquad \qquad \cfrac{side^2}{side^2}=\cfrac{area}{area}\implies \cfrac{4.5^2}{s^2}=\cfrac{18}{8}\implies \cfrac{4.5^2}{s^2}=\cfrac{9}{4}


\bf \left( \cfrac{4.5}{s} \right)^2=\cfrac{3^2}{2^2}\implies \cfrac{4.5}{s}=\sqrt{\cfrac{3^2}{2^2}}\implies \cfrac{4.5}{s}=\cfrac{3}{2}\implies 9=3s \\\\\\ \cfrac{9}{3}=s\implies 3=s

3 0
3 years ago
Read 2 more answers
29 is what percent of 185? round your answer to the nearest hundredth.
Marina CMI [18]

divide 29 by 185

29/185 = 0.15675 rounded to nearest hundredth would be 0.16

 becomes 15.675 percent rounded to nearest hundredth would be 15.68%

check by multiplying 185 x 15.68%

185 x .1568 = 29.008 which is rounded to 29

8 0
3 years ago
A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inche
makkiz [27]

Answer:

The side lengths of the tile are 8 Inches and 10.5 Inches.

Step-by-step explanation:

Perimeter of a parallelogram = 2(a + b)

Let

a = shorter side

b = longer side

b = a + 2.5 inches

The perimeter of each tile is 37 inches

Perimeter of a parallelogram = 2(a + b)

37 = 2{a + (a + 2.5)}

37 = 2{a + a + 2.5}

37 = 2(2a + 2.5)

37 = 4a + 5

37 - 5 = 4a

32 = 4a

Divide both sides by 4

a = 32/4

= 8

a = 8 inches

b = a + 2.5 inches

= 8 + 2.5

= 10.5 inches

b = 10.5 inches

The side lengths of the tile are 8 Inches and 10.5 Inches.

5 0
3 years ago
X-9= 1/4x + (1/4x + 12) + (1/4x - 3) what’s that answer?
konstantin123 [22]

Answer:

x = 72

Step-by-step explanation:

Make the problem simpler by eliminating the fractional coefficients:

x-9= 1/4x + (1/4x + 12) + (1/4x - 3), when multiplied by 4, becomes:

4x - 36 = x + x + 48 + x - 12

Summing up all the x terms, we get:

4x - 2x - x = 48 - 12 + 36

Then x = 72

7 0
3 years ago
What is the solution to the system of equations below? 2 x + 3 y = 17. 3 x + 6 y = 30. (Negative 7, 24) (3, 4) (4, 3) (24, Negat
uranmaximum [27]
( x , y ) = ( 4 , 3 )
4 0
3 years ago
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