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Alenkasestr [34]
3 years ago
11

Mrs. Savino runs 3 miles in 28 minutes. At this rate, how many minutes would it take her to run 15 miles? * Need it ASAP​

Mathematics
2 answers:
VashaNatasha [74]3 years ago
7 0

Answer:

she would take 140 minutes to run 15 miles

Step-by-step explanation:

28 X 5 os equal to 140

antoniya [11.8K]3 years ago
5 0

Answer:

139.95

Step-by-step explanation:

28 divided by 3 is 9.33 so 9.33x 15=139.95

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Step-by-step explanation:

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when you flip a biased coin the probability of getting tails is 0.53 what is the probability of getting heads?
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Salaries for various positions can vary significantly depending on whether the company is in the public or private sector. The U
DIA [1.3K]

Answer:

a) 0.004

b) 0.9609                                                

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 76503

Standard Deviation, σ = 8850

We are given that the distribution of annual salaries is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(salary greater than 100,000)

P(x > 100000)

P( x > 100000) = P( z > \displaystyle\frac{100000 - 76503}{8850}) = P(z > 2.655)

= 1 - P(z \leq 2.655)

Calculation the value from standard normal z table, we have,  

P(x > 100000) = 1 - 0.996 = 0.004  = 0.4\%

b) P(sample mean annual salary falls between 70,000 and 80,000 dollars)

Sample size, n = 20

Standard error due to sampling =

\dfrac{\sigma}{\sqrt{n}} = \dfrac{8850}{\sqrt{20}} = 1978.92

P(70000 \leq x \leq 80000) = P(\displaystyle\frac{70000 - 76503}{1978.92} \leq z \leq \displaystyle\frac{80000-76503}{1978.92})\\\\ = P(-3.286 \leq z \leq 1.767)\\\\= P(z \leq 1.767) - P(z < -3.286)\\=0.9614 - 0.0005= 0.9609 = 96.09\%

P(70000 \leq x \leq 80000) = 96.09\%

7 0
3 years ago
2×2 write the correct answer below
olga2289 [7]

Answer:

4 :-)))))))) have a wonderful day!

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3 years ago
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