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kiruha [24]
2 years ago
5

Rational or irrational ?

Mathematics
1 answer:
vazorg [7]2 years ago
8 0

Answer:

  rational

Step-by-step explanation:

A repeating decimal is a rational number.

Repeating 6's has a value of 2/3, so this number is 6 2/3 = 20/3, a rational number.

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Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random
Fudgin [204]

Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

<em>Let </em>\bar X<em> = sample mean</em>

The z-score probability distribution for sample mean is given by;

               Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean = $50,000

            \sigma = population standard deviation = $25,000

            n = sample of people = 1,000

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P(\bar X > $52,000)

  P(\bar X > $52,000) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } } ) = P(Z > 2.53) = 1 - P(Z \leq 2.53)

                                                                    = 1 - 0.9943 = 0.0057

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.</em>

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

5 0
2 years ago
-10(x+12)-11x.........................,............
NNADVOKAT [17]
-10x -120-11x
combine like terms so -10-11= -21x-120
7 0
2 years ago
Pls help asap important assessment
Effectus [21]

Answer:

C

Step-by-step explanation:

my teacher tells us that that answer is the most inportant in math in any grade

4 0
2 years ago
Read 2 more answers
Create a problem in which one of the properties is used to simplify the expression. Then, solve.
seropon [69]

There are many times in algebra when you need to simplify an expression. understanding of these properties to make the problems in algebra easier to Pour 12 ounces of coffee into mug, then add splash of milk.

following ways:

Pour 12 ounces of coffee into mug, then add splash of milk.

Add a splash of milk to mug, then add 12 ounces of coffee.

The order that you add ingredients does not matter. In the same way, it does not matter whether you put on your left shoe or right shoe first before heading out to work. As long as you are wearing both shoes when you leave your house, you are on the right track!

6 0
3 years ago
Question 2
DENIUS [597]

9514 1404 393

Answer:

  1.05

Step-by-step explanation:

Following instructions, we have ...

  Z = (X -μ)/σ

  Z = (180 -159)/20 = 21/20

  Z = 1.05

The Z-score associated with the value 3 minutes is 1.05.

_____

<em>Additional comment</em>

About 14.7% of customers will be getting free coffee.

8 0
2 years ago
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