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3 years ago

Construction viable argument. is 10% of 10% of 100 the same as 20% of 100

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

Answer:

10% of 100 is 10. 10% of 10 is 1.

20% of 100 is 20.

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Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What

S_A_V [24]

Answer:

(B) 0.0588

Step-by-step explanation:

The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:

$P_1=\frac{13}{52}$

Because the deck has 52 cards and 13 of them are diamonds.

Then, if the first card was diamonds, the probability that the second card is also diamond is:

$P_2=\frac{12}{51}$

Because now, we just have 51 cards and 12 of them are diamonds.

Therefore, the probability that both cards are diamonds is calculated as a multiplication between $P_1$ and $P_2$ . This is:

$P=\frac{13}{52}*\frac{12}{51}=\frac{1}{17}=0.0588$

8 0

3 years ago

A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine wer

weqwewe [10]

Answer:

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject $H_0$ , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

Step-by-step explanation:

The null and alternate hypothesis are:

H0:p≥0.03

Ha:p<0.03

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.

0.03 is tested at the null hypothesis:

This means that $\mu = 0.03, \sigma = \sqrt{0.03*0.97}$

28 out of 600 items produced by the machine were found defective.

This means that $n = 600, X = \frac{28}{600} = 0.0467$

Value of the test-statistic:

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

$z = \frac{0.0467 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{600}}}$

$z = 2.4$

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.

Looking at the z-table, z = 2.4 has a p-value of 0.9918.

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject $H_0$ , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

7 0

3 years ago

Does anyone know how to turn off downtime without knowing the password or is there something I can download that anyone knows ab

Pie

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4 0

3 years ago

Find the area of the triangle below.

fenix001 [56]

Answer:

area of a triangle is 1/2×h×b

Step-by-step explanation:

1÷2×12×13

=78

5 0

3 years ago

3w-4z=8<br> 2w+3z=-6 solve

marissa [1.9K]

Answer:

W = 0

Z = -2

Step-by-step explanation:

While simplyfying the equation, i noticed that one is 24 and the other is -24, which meant that one value is non existent, and after i found out that w = 0 imputing the reslut made that easier

4 0

3 years ago

Construction viable argument. is 10% of 10% of 100 the same as 20% of 100​

Construction viable argument. is 10% of 10% of 100 the same as 20% of 100