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olganol [36]
3 years ago
11

a girl borrowed $1,860 to buy a computer. she will pay it back over 2.5 years with a 6% interest rate. how much will she pay tot

al for the computer?
Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

6/100 = 0.06

1860 * 0.06 = 111.6

1860 + 111.6 = 1971.6

She will pay $1971.60 total for the computer.

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Parts being manufactured at a plant are supposed to weigh 65 grams. Suppose the distribution of weights has a Normal distributio
andrew-mc [135]

Answer:

0.64%.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, 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.

Mean of 75 grams and a standard deviation of 22 grams.

This means that \mu = 75, \sigma = 22

Sample of 144:

This means that n = 144, s = \frac{22}{\sqrt{144}} = 1.8333

More than 80 or less than 70:

Both are the same distance from the mean, so we find one probability and multiply by 2.

The probability that it is less than 70 is the pvalue of Z when X = 70. So

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

By the Central Limit Theorem

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

Z = \frac{70 - 75}{1.8333}

Z = -2.73

Z = -2.73 has a pvalue of 0.0032

2*0.0032 = 0.0064.

0.0064*100% = 0.64%

The probability is 0.64%.

3 0
3 years ago
12 times what equals 360?
creativ13 [48]
The answer is 30. 360/12.
3 0
3 years ago
Read 2 more answers
Twenty minutes to six in the evening on a 24 hour clock​
Taya2010 [7]

Answer:

1740 is the time on a 24 hour clock or military time

6 0
3 years ago
What is the measurement of the missing angle?
RSB [31]

Answer:

Step-by-step explanation:

180-40+20=120

180-120+39=?

99=?

6 0
3 years ago
A light bulb in Maya's house uses 9.4 watts of electric power each minute it is on. If the light bulb used a total of 6.58 watts
tamaranim1 [39]

Answer:

0.7 minute

Step-by-step explanation:

Given that each (1)  minute a light use 9.4 watts.

So If the light bulb used a total of 6.58 watts, the minutes was on it is:

\frac{The total watts used}{The watts used each minute}

= \frac{6.58}{9.4}

= 0.7 minute

So the the minutes was on it is 0.7

Hope it will find you well!

4 0
3 years ago
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