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KengaRu [80]
3 years ago
12

Assume the population has a distribution with a mean of 110 and a standard deviation of 8. For a random sample of size 40, find

the 30th percentile of (round off to first decimal place).
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0

Answer:

109.33

Step-by-step explanation:

given that the population has a distribution with a mean of 110 and a standard deviation of 8

Sample size n = 40

Std error of sample mean = std dev/square root of sample size

= \frac{8}{\sqrt{40} } \\=1.265

From std normal distribution table we find that 30th percentile for Z is

-0.5244

Corresponding x score =110-0.5244*1.265=109.33663

30th percentile = 109.33663

=109.33

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HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE thankkyouu
VikaD [51]

Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

       = 100 + 480

       = 580

Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.

So that;

f(x) = 1.69x

The cost of 10 pounds of lettuce can be determined as;

f(x) = 1.69(10)

     = 16.9

Thus, the cost of 10 lb of lettuce is $16.90.

6 0
2 years ago
– THE ODDS IN FAVOR OF BORIS PENZED WINNING THE HOT
Bezzdna [24]

The probability that Boris will win the contest is:

P = 0.286

<h3>How to get the probability?</h3>

For some given odds a:b, the probability is just computed as the quotient between a and b, which gives:

P = a/b

In this case, the odds are 2:7, so the probability that Boris will win the contest is:

P = 2/7 = 0.286

Written in percentage form, we get:

P = 28.6%

If you want to learn more about probability:

brainly.com/question/24756209

#SPJ1

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