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kherson [118]
3 years ago
5

The mean of a set of normally distributed data is 600 with a standard devastation of 20. What percent of data is between 580 and

620
Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Answer: 68%

Step-by-step explanation:

You might be interested in
4 divided by 1/2 in a model
seraphim [82]

Answer:

8

Step-by-step explanation:

4 ÷ \frac{1}{2} = \frac{4}{1} · \frac{2}{1}

4 · 2 = 8

3 0
3 years ago
Select the inequality symbol that should be used to represent the following situation.
Bogdan [553]

Answer:

the answer is ≥

8 0
3 years ago
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and
yarga [219]

Answer:

Less than 3.6 years.

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 5.8 years, and  standard deviation of 1.7 years.

This means that \mu = 5.8, \sigma = 1.7

The 10% of items with the shortest lifespan will last less than how many years?

Less than the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.

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

-1.28 = \frac{X - 5.8}{1.7}

X - 5.8 = -1.28*1.7

X = 3.6

Less than 3.6 years.

4 0
3 years ago
Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets o
emmainna [20.7K]

Answer:

P = 3.86n

Step-by-step explanation:

the price will be how many sets you buy multiplied by the price.

4 0
3 years ago
The cost of providing water bottles at a high school football game is $35 for the rental of the coolers and $0.50 per bottle
zloy xaker [14]

The cost function is an illustration of a linear function

The equation of the cost function is C(x) = 35 + 0.5x

The given parameters are:

Rentals = 35 -- the cost of renting a cooler

Rate = 0.5 --- the rate per bottle

Assume the number of bottles in a cooler is x.

The cost function for the bottles in a cooler would be:

C(x) = Rentals + Rate \times x

So, we have:

C(x) = 35 + 0.5\times x

Evaluate the products

C(x) = 35 + 0.5x

Hence, the equation is C(x) = 35 + 0.5x

Read more about linear functions at:

brainly.com/question/15602982

7 0
2 years ago
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