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pentagon [3]
3 years ago
10

Running Problem, Please Help!!!

Mathematics
2 answers:
kap26 [50]3 years ago
5 0

Answer:

400

Step-by-step explanation:

mrs_skeptik [129]3 years ago
5 0
The answer should be
400 I hope this helps you!
You might be interested in
an architect wants to build three similar triangles such that the ratio of the middle triangle. The smallest one has side length
vampirchik [111]

Answer:  15

<u>Step-by-step explanation:</u>

small:     5     12      13

middle:  __   36     39

large:    45   108    117

Notice that to get from the small to the large, multiplied by 9

5(9) = 45    12(9) = 108    13(9) = 117

That is because the sides are proportional \dfrac{5}{45}=\dfrac{12}{108}=\dfrac{13}{117}\rightarrow\dfrac{1}{9}

To get from small to middle, multiply by 3  

5(3) = 15     12(3) = 36    13(3) = 39

To solve it using proportions:

\dfrac{5}{x}=\dfrac{12}{36}\\\\\\\text{Cross Multiply and solve for x:}\\5(36)=12x\\\\\dfrac{5(36)}{12}=x\\\\5(3)=x\\\\\large\boxed{15}=x

7 0
3 years ago
a class has six boys and 14 girls what is the ratio in simplest form that compares number of boys the number of students​
-BARSIC- [3]

Answer:

3:10

Step-by-step explanation:

Boys- 6

Girls- 14

Total students- 20

Boys:Total students

   6   :      20

Simplify:

6/2=3

20/2=10

This is written as:

3:10

➴Hope this helps!

➸CloutAnswers

6 0
3 years ago
It takes Nate five hours to paint a wall, and it takes Jill seven hours to paint the same wall. About how many hours will it wil
Alexxx [7]
Let's use the relation:

\mathsf{\dfrac{1}{x} = \dfrac{1}{5} + \dfrac{1}{7}}\\ \\ \\ \mathsf{\dfrac{1}{x} = \dfrac{7+5}{35}}\\ \\ \\ \mathsf{\dfrac{1}{x} = \dfrac{12}{35}}\\ \\ \\ \mathsf{x = \dfrac{35}{12}}\\ \\ \\ \boxed{\mathsf{x\approx 2.92 \ h}}

It would take about 3 hours to complete the work.
3 0
4 years ago
Describe the translation of the figure ABCD. Complete the sentence to explain your answer
irina1246 [14]
No picture. Please repost
4 0
3 years ago
An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was
Masteriza [31]

Answer:

The proportions differ from those reported in the survey.

Step-by-step explanation:

The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.

The hypothesis for the test can be defined as follows:

<em>H</em>₀: The proportions does not differ from those reported in the survey.

<em>Hₐ</em>: The proportions differ from those reported in the survey.

Assume that the significance level of the test is, α = 0.01.

The Chi-square test statistic is given by:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

Consider the Excel sheet provided.

The Chi-square test statistic value is 191.32.

The <em>p</em>-value of the test is:

p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000

The <em>p</em>-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.

Thus, concluding that the proportions differ from those reported in the survey.

5 0
3 years ago
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