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Katen [24]
3 years ago
14

Sixteen less than ten times a number is the same as twice the number. find the number

Mathematics
1 answer:
tatuchka [14]3 years ago
8 0
X = unknown number
10x - 16 = 2x
Subtract 10x from both sides to isolate the variable on the right side of the equation.
-16 = -8x
Divide both sides by -8 to get x alone.
2 = x
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Suppose that two cards are randomly selected from a standard​ 52-card deck. ​(a) what is the probability that the first card is
Charra [1.4K]
Hey ,here is the answer to ur question....!
(a).p(that the first card is a queen)=4/52=2/26=1/13
P(the card is a queen if the sampling is done without replacement)=3/52
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P(the second card is queen of the sampling is done with replacement)=1/13....
Hope this helps you....!
8 0
2 years ago
For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50. What is the sample standard de
sleet_krkn [62]

Answer:

4

Step-by-step explanation:

The z-score is calculated by the following formula

z=(x-μ)/σ

where

μ=Population mean

σ=Population standard deviation

If the z-score for a specific sample mean is discussed then z-score is computed as

z=xbar-μ/σxbar.

where

μ=Population mean

σxbar=Sample standard deviation

As the population mean and mean of sampling distribution of mean are equal so, μ is used in above equation.

Now, the z-score is given

1.5=xbar-μ/σxbar

σxbar=xbar-μ/1.5.

Also we know that z-score corresponds to a score that is 6 points above mean which means that xbar-μ=6.

σxbar=6/1.5

σxbar=4.

Thus, the required sample standard deviation is 4.

6 0
3 years ago
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
jekas [21]

Answer:

The test statistic is z = 1.865.

Step-by-step explanation:

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

H0: p = 0.11

This means that 0.11 is tested at the null hypothesis, and so:

\mu = 0.11

\sigma = \sqrt{0.11*0.89} = 0.3129

The engineer weighs 94 bags and finds that 16 of them are over-filled.

This means that:

n = 94, X = \frac{16}{94} = 0.1702

What is the test statistic?

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1702 - 0.11}{\frac{0.3129}{\sqrt{94}}}

z = 1.865

The test statistic is z = 1.865.

6 0
2 years ago
Find the measures of the numbered angles for each parallelogram number 11
dybincka [34]
Angle 3 is 99 degrees.

Angle 2 is 61 degrees.

angle 1 is also 61 degrees.
6 0
3 years ago
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Genrish500 [490]

Answer:

Is none a answer?

Step-by-step explanation:

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8 0
2 years ago
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