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4 years ago

Express f (x) = |x-5| as a piecewise defined function

Mathematics

1 answer:

mrs_skeptik [129]4 years ago

3 0

If x>5......f(x)= x-5
if x <5......f (x)= -x+5

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A recent report in a women magazine stated that the average age for women to marry in the United States is now 25 years of age,

MrRissso [65]

Answer: 0.0136

Step-by-step explanation:

Given : Mean : $\mu=\ 25$

Standard deviation : $\sigma= 3.2$

Sample size : $n=50$

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x = 24

$z=\dfrac{24-25}{\dfrac{3.2}{\sqrt{50}}}=-2.20970869121\aprox-2.21$

The P-value = $P(z\leq24)=0.0135526\approx0.0136$

Hence, the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years = 0.0136

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4 years ago

33 Triangle RST is similar to triangle RWW.

abruzzese [7]

Answer:

Step-by-step explanation:

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3 years ago

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Tom is a cashier at HEB, he makes $13.25 per hour. If he works 22 hours this week what will be his gross income?

mamaluj [8]

Answer:

$291.50

Step-by-step explanation:

For 22 hours, he earns 22 times his hourly pay.

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4 years ago

I need Help Fast its due in a few minutes please Show WORK and tell me how to do it NO links.

Colt1911 [192]

Answer:

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Step-by-step explanation:

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3 years ago

According to a recent survey, the population distribution of number of years of education for self-employed individuals in a c

strojnjashka [21]

Answer:

a) $n=100,\,\mu_s = 14.7, \,\sigma_s=0.32$

b) $n=400,\,\mu_s = 14.7, \,\sigma_s=0.16$

c) "a.The mean of the sampling distribution stays the same, but the standard error decreases."

Step-by-step explanation:

a) We have a population with mean of 14.7 and standard deviation of 3.2.

We have to calculate the parameters of the sampling distribution (mean and standard deviation), for a sample size of n=100.

The mean for the sampling distribution is the same of the population:

$\mu_s=\mu=14.7$

The standard deviation of the sampling distribution is related to the population standard deviation by the inverse of the square of the sample size:

$\sigma_s=\sigma/\sqrt{n}=3.2/\sqrt{100}=3.2/10=0.32$

b) For a sample size of n=400, the mean is the same (14.7), but the standard deviation becomes:

$\sigma_s=\sigma/\sqrt{n}=3.2/\sqrt{400}=3.2/20=0.16$

c) "a.The mean of the sampling distribution stays the same, but the standard error decreases."

As we calculated, the standard error decreases as the sample size increases. This is because the variability of the variable is reduced as the sample size is bigger.

The mean stays the same independently of the sample size.

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3 years ago