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3 years ago

Which model could represent the solution to 2/3 - 1/2?

Mathematics

1 answer:

bearhunter [10]3 years ago

8 0

Answer:

The last one on the bottom should be your answer

I hope this helps you honey

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Can someone help me on this?

daser333 [38]

Answer:

Step-by-step explanation:

8 0

3 years ago

In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sen

ludmilkaskok [199]

Answer:

Question 1: between 25 and 39 days

Question 2: about 95%

Question 3: about 99.7%

Explanation:

Question 1. Between what two values will approximately 68% of the numbers of days be?.

You can answer based on the 68-95-99.7% rule. As per this rule, about 68% of the data of a normal distribution (bell shaped) are within one standard deviation of the mean.

Here the mean is 32 day and the standard deviation is 7 day. Then 68% are in the interval 32 days ± 7 days.

That is:

32 days + 7 days = 39 days

32 days - 7 days = 25 days

Consequently, approximately 68% of the numbers of days will be between 25 and 39 days.

Question 2. Estimate the percentage of customer accounts for which the number of days is between 18 and 46.

First must determine the Z-scores both both values X = 18 and X = 46

The formula is:

$Z-score = (X-mean)/(standard\text{ }deviation)$

For X = 18

$Z-score=(18-32)/7=-2$

For X = 46

$Z-score=(46-32)/7=2$

Hence, you want to estimate the percentage of customers accounts for which the the number of days is within 2 standard deviations of the mean.

As per the 68-95-99.7 rule about 95% of the data are within 2 standard deviations of the mean. You can calculate it also from a standard normal distribution table, finding the area to the left of Z-score = - 2 and subtracting the area to the right of Z-score equal to 2: That is: 0.9772 - 0.0228 = 0.9484 = 95.44% ≈ 95%.

Question 3. Estimate the percentage of customer accounts for which the number of days is between 11 and 53.

Again, determine the Z-scores for the two values, X = 11 and X = 53.

For X = 11:

$Z-score=(11-32)/7=-3$

For X = 53:

$Z-score=(53-32)/7=3$

Hence, you want to estimate the probability of the number of days s between - 3 and 3 standard deviations.

Such probability is about 99.7%, according to the 68-95-99.7 rule.

If you use a standard distritution table you will find that the area to the right of the Z-score of -3 is 0.99865, thus the probability of the Z-score be to the right of 3 is 1 - 0.99865 = 0.00135.

And the probability in between -3 and 3 standard deviations is 0.99865 - 0.00135 = 0.9973 = 99.73% ≈ 99.7%.

6 0

3 years ago

Varia is studying abroad in Europe. She is required pay $3,500 (in US dollars) per year to the university, howere, ahe must pay

kaheart [24]

You would be expected to pay 3,130.00 (3,125.14) Euros.

4 0

4 years ago

Two consecutive angles of a parallelogram have measures LaTeX: 3x-2 3 x − 2 and LaTeX: 4x+7. 4 x + 7. Find the value of x.

iragen [17]

Answer:
x = 25

Explanation:
In a parallelogram, the sum of any two consecutive angles is 180°.

We are given that two consecutive angles have measures 3x - 2 and 4x + 7.
Based on the above, the summation of these two angles is 180.
Therefore, we will simply add the two angles, equate the sum to 180 and solve for x as follows:
3x - 2 + 4x + 7 = 180
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/7
x = 25

This means that the two angles are:
3x - 2 = 3(25) - 2 = 73°
4x + 7 = 4(25) + 7 = 107°

Hope this helps :)

6 0

3 years ago

(2+I)(1-3i) simplify

Oksi-84 [34.3K]

Answer:

I − 3 I i + 2 − 6 i

Step-by-step explanation:

Trust me.

I've been doing it for years

Very glad I could help you!!

7 0

3 years ago