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Lerok [7]
2 years ago
9

Today, Reza ate 20 grapes, which was 400% as many grapes as he ate yesterday. Explain how to use equivalent ratios to find the n

umber of grapes Reza ate yesterday.
Mathematics
2 answers:
ipn [44]2 years ago
7 0

Write 400% as the ratio 400/100. To find an equivalent ratio, you know that 400 divided by 20 is 20, so 100 divided by 20 will give you the answer. 100 ÷ 20 = 5. Reza ate 5 grapes yesterday. 0% as the ratio 400/100. To find an equivalent ratio, you know that 400 divided by 20 is 20, so 100 divided by 20 will give the answer.

100 ÷ 20 = 5.

Reza ate 5 grapes yesterday. Here is the edge answee

Yanka [14]2 years ago
3 0
What you must do for this case is to extract the relationship of the grapes that were eaten yesterday among the grapes that were eaten today.
 To do it, let:
 x: number of grapes that Reza ate yesterday
 (x / 20) = (100/400).
 Clearing x we have:
 x = (100/400) * (20) = 5
 answer
 the number of grapes Reza ate yesterday was 5
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Write a paragraph that has an inverted triangle shape. The topic sentence should be, “Trees are helpful.” Include at least three
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  Why trees are helpful........................................
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Very easy just state facts about trees in a format like this. Google why trees are helpful and some facts should pop up. A good paragraph should have at least five (5) good strong sentences. 
 
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choose the correct word to complete the sentence below. A group of related facts that use the same number is called?
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A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
Pie

Answer:

(D) is the right answer

Step-by-step explanation:

The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.

A triangular pyramid has four faces.  So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.

A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.

B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.

C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.

D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.

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8 0
2 years ago
If the test scores of a class of 35 students have a mean of 74.3 and the test scores of another class of 28 students have a mean
STALIN [3.7K]
Let the total sum of the scores of the first class of 35 students be a. The mean is 74.3 .

So 
\frac{a}{35}=74.3\\\\a=35\cdot74.3= 2600.5

Also, let the total sum of the scores of the second class of 28 students be b. The mean is 67.6 .

so 
\frac{b}{28}=67.6\\\\ b=28\cdot67.6= 1892.8



The combined group has 35+28=63 students. The sum of their scores is 

a+b=
2600.5+1892.8=4493.3


Thus, the mean of the combined group is \frac{4493.3}{63}= 71.32

6 0
2 years ago
The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran
Ganezh [65]

Answer:

a) Hypothesis mean differs from 0.5025. Rejected

b) P-value = 0

c) 0.50456 < u < 0.50464

Step-by-step explanation:

Given:

- The standard deviation s.d = 0.0001 in

- The mean of the sample x = 0.5046 in

- Sample size n = 25

Find:

a) Test the hypothesis that mean rod. Assume two-sided alternative and significance level of 0.05.

b) Find the p-value for test in part

c) Construct a 95% two-sided confidence interval on the mean rod diameter.

Solution:

- The random variable X: the measurements for rod diameter follows a normal distribution:  

                                       X~ N( 0.5025 , 0.0001 )

- Testing H_o: u_o = 0.5025  , H_1 : u_o not equal 0.5025

- Compute the corresponding Z-score:

                             Z_o = (0.5046 - 0.5025) / 0.0001/sqrt(25)

                             Z_o = 105

- The Z score value with respect to significance level is:

                            Z_a/2 = Z_0.025 = 1.96

Hence, Z_o > Z_a/n

- The hypothesis H_o is rejected the mean differs from 0.5025.

- The corresponding P-Value is:

                            P-value = 2*(1 - sig(Z_o)) = 2*(1 - sig(105))

                           P-value = 2*(1-1) = 0

- The confidence interval is:

                 ( x - Z_a/2(s.d/sqrt(n)) < u <  ( x + Z_a/2(s.d/sqrt(n))

  ( 0.5046 - 1.96(0.0001/sqrt(25)) < u <  ( 0.5046 + 1.96(0.0001/sqrt(25))  

                              0.50456 < u < 0.50464

3 0
2 years ago
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