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qwelly [4]
3 years ago
5

if each board in a fence is 6 inches wide, how many boards will josee need to fence 4 sides of a playground that is 60ft wide by

125ft long?
Mathematics
1 answer:
jeka57 [31]3 years ago
4 0
Cgjnhhhjjnnnnmff
Ccghhjj.
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The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams
JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that \mu = 90, \sigma = 2

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

Z = \frac{X - \mu}{\sigma}

Z = \frac{94 - 90}{2}

Z = 2

Z = 2 has a p-value of 0.9772.

X = 86

Z = \frac{X - \mu}{\sigma}

Z = \frac{86 - 90}{2}

Z = -2

Z = -2 has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

5 0
3 years ago
What is the surface area of this right rectangular prism? Enter your answer as a
mixas84 [53]

You will find all of the surface area of all of the sides and add them together to find the surface area of the retangular prisim. So, what I would do is the front and back are both 54, so 108. The sides are 27, so 54. The top and bottom are 18, so 36. Add them together, and you will get 198. I hope this helps.

6 0
3 years ago
What is the smallest number that rounds to 40​
Liula [17]

Answer: 2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Y = 6 when x = 30, what is y when x = 6
Alex787 [66]
30 divided by 6 is 5
6 divided by 5 is 1. 2
6 0
3 years ago
A store that buys and sells used video games buys a game at a cost of ​$9 and sells it at a selling price of ​$13. Find the mark
Bingel [31]
Markup = $4
b) markup as a percentage of cost is 33.3%
Step-by-step explanation:
Markup
markup = selling price - cost
= $13 - 9
... markup = $3
Markup as a Percentage of Cost
To find the percent markup, divide the markup by the reference value and multiply the ratio by 100%. The reference value for markup is usually cost price, but sometimes may be selling price.
... markup / cost × 100% = 3/9×100% = 33 1/3% ≈ 33.3%
4 0
3 years ago
Read 2 more answers
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