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marysya [2.9K]
2 years ago
13

Carlos has $500 in his savings account that pays 3% simple interest. What is the amount of money Carlos will have in his bank ac

count after 4 years if he leaves his money in the bank?
Mathematics
2 answers:
Leya [2.2K]2 years ago
5 0
$1766 is the answer
Hope it helps! Have a great day!
sleet_krkn [62]2 years ago
4 0

Answer:

$1766

Step-by-step explanation:

hope this helps

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A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. Teh mean is 73, wit
zavuch27 [327]

Answer:

The bottom for an A is 75. Round to the nearest whole number as needed.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the scores on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=73,\sigma=7)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

2) The bottom for an A is _____. Round to the nearest whole number as needed.

And we want the top 5.5% of the scores, so we need a value a such that:

P(X>a)=0.055 or P(X

We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.

Let's use the condition P(X, the best way to solve this problem is using the z score with the following formula:

z=\frac{x-\mu}{\sigma}

So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:

"=NORM.INV(0.945,0,1)"

If we apply the z score formula to our case we have this:

P(X

So then based on the equalities we have this:

\frac{a-73}{7}=1.598

And if we solve for a we got:

a=(7*1.598) +73=84.186

So then we need a score of 84.186 rounded to the nearest whole number 75 or higher in order to get an A

8 0
3 years ago
From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many groups of 3 customers are possib
eimsori [14]

Answer:

132,600 possibilities

Step-by-step explanation:

The first one chosen can be 1 of 52

The 2nd one chosen is 1 out 51

And the 3rd chosen is 1 out 50

So...

52 x 51 x 50 = 132,600

3 0
2 years ago
Estimate 26% of 84.<br><br> 26% ≈ <br> 84 ≈ 80<br><br> So, 26% of 84 ≈ <br> .
Juli2301 [7.4K]

Answer:

21

Step-by-step explanation:

8 0
2 years ago
Martha has 3 cards but she wants more.if she makes 5 cards an hour, how many cards will she have after 6 hours?
Paraphin [41]

Answer:

33 cards

Step-by-step explanation:

3 cards already.  5 in 1 hour = 5 x 6 hours = 30 cards + 3 cards


33 cards

5 0
3 years ago
Read 2 more answers
An airplane left Atlanta with 20 empty seats. If the airplane was 75% full, what was the total number of seats on the airplane?
Lana71 [14]
The answer is 80.
Because
80-75%=20
4 0
3 years ago
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