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aliya0001 [1]
3 years ago
12

Alexis scale drawing represents the longest side of the storage bin as 2 3/4 inches. What is the actual length, in feet, of the

longest side of the storage bin?

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

Answer: The correct answer is C,

5 1/2 feet

Step-by-step explanation:

Alexis' scale drawing represents the longest side of the storage bin as 2 3/4 inches. Converting to improper fraction, it becomes 11/4 inches. This is also 2.75 inches.

The scale used is 1/2 inch = 1 feet. This means that a length of 1 feet of the longest side of the actual storage bin is 1/2 inch on the drawing.

Let the actual length, in feet of the longest side of the storage bin be x feet. Therefore

If 0.5 inch = 1 feet

2.75 inch = x

0.5x = 2.75 × 1

x = 2.75/0.5 = 5.5 feet

You might be interested in
The length of a rectangular picture frame is 4 inches less than three times the width. The perimeter is 136 inches. Find the len
natulia [17]

Answer:

The width of the rectangle is 18 inches, and the length is 50 inches

Step-by-step explanation:

We can designate a variable, x, to represent the width of the rectangle.  To represent the length and widths of the rectangle, we can say that the length is 3x-4 and the width is just x.  We can then write an equation for the perimeter and solve:

2(3x-4) + 2x = 136

6x - 8 + 2x = 136

8x - 8 = 136

8x = 144

x = 18

To calculate the length

(3x - 4)

3(18) - 4 = 50 in

6 0
3 years ago
In a study of red/green color blindness, 700 men and 2850 women are randomly selected and tested. Among the men, 66 have red/gre
olga55 [171]

Answer:

z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197  

p_v =P(Z>15.197) \approx 0  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

Step-by-step explanation:

Data given and notation  

X_{M}=66 represent the number of men with red/green color blindness.

X_{W}=8 represent the number of women with red/green color blindness.

n_{M}=700 sample of male slected

n_{W}=2850 sample of female selected

p_{M}=\frac{66}{700}=0.0943 represent the proportion of male with red/green color blindness.

p_{W}=\frac{8}{2850}=0.00281 represent the proportion of female with red/green color blindness.

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion of men with red/green color blindness. is higher than the proportionof women with red/green color blindness. , the system of hypothesis would be:  

Null hypothesis:p_{M} \leq p_{W}  

Alternative hypothesis:p_{M} > p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{66+8}{700+2850}=0.0208

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>15.197) \approx 0  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

8 0
3 years ago
Can someone plz help me with this one problem plzzzzz I’m marking brainliest!!!
Andre45 [30]
2=6
4=8
6=10
8=12
I added +4 for each
8 0
2 years ago
What is -3/4 – (-1/2)?<br> A. -5/4<br> B. -1/4<br> C. 1/4<br> D. 1/2
Delicious77 [7]

Answer:

B. -1/4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
It represents equal parts of a whole or a collection?
Alina [70]

Answer:

Fraction

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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