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kykrilka [37]
2 years ago
13

Equalvant Terms to 6(5x + 9y)

Mathematics
1 answer:
Fed [463]2 years ago
3 0

The Answer Is 30x+54y

have an amazing day <3

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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
Is (1,-3) is a solution of the equation 8p-2q=14?
PSYCHO15rus [73]

Answer: YES

<u>Step-by-step explanation:</u>

  8p - 2q = 14

8(1) - 2(-3) = 14

8   -    -6   = 14

 8    +   6  = 14

       14      = 14

            TRUE

8 0
3 years ago
Read 2 more answers
the table shows the number of cars washed and the amount earned by the car wash over several days. circle the number or term tha
TEA [102]

The first 3 rows are proportional

because when you divide the earning by car washed they all have the same unit rate of 9.5/ to answer the second part you multiply 9.5 by 88. you'll get $836

5 0
3 years ago
Read 2 more answers
Minus 2 open bracket 4g - 3 closed bracket equals 30
zhannawk [14.2K]
G equals 4, as side both sides by 2, then add three, and divide by four.
5 0
3 years ago
At 5 p.M., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes
RoseWind [281]

Answer:

- 8° per hour

Step-by-step explanation:

Given that:

Station A = - 6°

Station B = 2°

Rate of temperature change = x° / hour ; which is the same at both stations

Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;

Temperature change in Station A:

-6 + 3x

Temperature change in station B:

2 + 4x

Temperature change in A = temperature change in B

-6 + 3x = 2 + 4x

Collect like terms

3x - 4x = 2 + 6

- x = 8

x = - 8

Hence, the rate of temperature change x in both stations is - 8° per hour

8 0
2 years ago
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