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3 years ago

You want to buy a CD player that costs $100. You get paid $6 per hour

Mathematics

1 answer:

photoshop1234 [79]3 years ago

6 0

Answer:

6x=100+80

6x=180

x=180÷6

x=30

so we have to work for 30 hours to can buy the CD player and still have $ 80.

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A cell phone and phone case cost $110 in total. The cell phone costs $100 more

Olegator [25]

Answer:

Step-by-step explanation:

p + c = 110

p = c + 100

c + 100 + c = 110

2c + 100 = 110

2c = 110 - 100

2c = 10

c = 10/2

c = 5 .......cost of the phone case

p = c + 100

p = 5 + 100

p = 105 <=== cost of the phone

3 0

3 years ago

(10p+96)+(-6p+93)=(9+75)

wariber [46]

Answer:-26.25

Step-by-step explanation:

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3 years ago

Emily put toys into a square box that is 46 centimeters long. How many square centimeters is the bottom of the box?

Sedaia [141]

If the box is a square and the length of one side is 46cm, then the area of the box in square centimeters is 46 * 46 = 2116.
Final Answer:
d. 2116
Hope I helped :)

7 0

3 years ago

In an experiment, the weight of several oranges were recorded in the table below. During the experiment, some of the oranges wer

Diano4ka-milaya [45]

I don't think anyone can solve this without seeing the table mentioned in the question :)

3 0

3 years ago

In college basketball, a shot made from beyond a designated arc radiating about 20 ft from the basket is worth three points ins

denis-greek [22]

Answer:

a) By the Central Limit Theorem, the distribution would be approximately normal, with mean $\mu = 0.45$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497$

b) 4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered surprising, so yes, it would be surprising for him to make only 25 of these shots.

Step-by-step explanation:

To solve this question, we are going to need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, we have that the mean is $\mu = p$ and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.45, n = 100$

a)By the Central Limit Theorem, the distribution would be approximately normal, with mean $\mu = 0.45$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497$

b)This is Z when X = 0.25.

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.25 – 0.45}{0.0497}$

$Z = -4.02$

4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered

surprising, so yes, it would be surprising for him to make only 25 of these shots.

3 0

2 years ago