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german
2 years ago
11

The weights of baskets of strawberries are normally distributed with a mean of 3.8 ounces and a standard deviation of 1.1 ounces

. One grocery store advertises that the weight of their strawberries is in the 97.5th percentile. How many ounces do their strawberries weigh?
A 3.8 ounces
B 4.9 ounces
C 6 ounces
D 7.1 ounces
Mathematics
1 answer:
Crazy boy [7]2 years ago
7 0

Answer:

6 ounces

Step-by-step explanation:

this one is mainly elimination. 3.8 and 4.9 cant be because they're too close to the mean. and 7.1 is too far. you can also use z-score. the z score of .975 is 1.96 we can plug that into out formula so

1.96=(x-3.8)/1.1

multiply both sides by 1.1 and then add 3.8

you can also use scientific calculator.

second vars, 3, the area is your percent so .975, the u is mean so 3.8, the o is standard deviation so 1.1

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3 years ago
A man that is 6 feet tall casts a shadow 5 feet long. At the same time, a lamppost beside the man casts a shadow 25 feet long. H
Montano1993 [528]

Answer:

The answer to your question is:  L = 30 ft

Step-by-step explanation:

Data

man = 6 ft

man shadow = 5 ft

lamppost shadow = 25 ft

lamppost height = ? = L

Process

                   \frac{6}{5} = \frac{L}{25}

                    L = \frac{6 x 25}{5}

                    L = \frac{150}{5}

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5 0
3 years ago
Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to
Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24

Thus, the time taken by each person to paint the fence alone = 24 hours

Now, the time taken by all three paint together:-

\dfrac{1}{t}=\dfrac{1}{24}+\dfrac{1}{24}+\dfrac{1}{24}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3}{24}\\\\\Rightarrow\ t=\dfrac{24}{3}=8\text{ hours}

Hence, it would take 8 hours if all three paint together.

3 0
3 years ago
I
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Answer:

21.56

Step-by-step explanation:

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