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USPshnik [31]
3 years ago
12

A game is on sale for 25% off. If the original price is $40, how much will the game cost? Question 3 options: $10 $20 $25 $30

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
8 0
The game would cost $30.
Sergio039 [100]3 years ago
6 0
Hello there! You get 25% off on the game, but even with that, you still pay 75% of the original price. To find out the new cost of the game, all you have to do is multiply 40 * 75%. 40 * 75% (0.75) is 30. There. The game will cost $30. The answer is D: $30.
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The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista
baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{10.634 - \mu}{\sigma}

10.634 - \mu = 1.28\sigma

\mu = 10.634 - 1.28\sigma

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{9.7565 - \mu}{\sigma}

9.7565 - \mu = -1.96\sigma

\mu = 9.7565 + 1.96\sigma

We also have that:

\mu = 10.634 - 1.28\sigma

So

10.634 - 1.28\sigma = 9.7565 + 1.96\sigma

1.96\sigma + 1.28\sigma = 10.645 - 9.7565

3.24\sigma = 0.8885

\sigma = \frac{0.8885}{3.24}

\sigma = 0.2742

The mean is

\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

8 0
4 years ago
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Answer:

<h2> length= 42, width=12, depth=8</h2>

Step-by-step explenation:

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Answer:

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Step-by-step explanation:

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So the 2 triangles are congruent by ASA

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Step-by-step explanation:

\sqrt{2}  \times  \sqrt{10| }  \div  \sqrt{5}

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Answer:

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Step-by-step explanation:

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