Subtract: (11w^3 + 15)

Write about how to use the dollar sign and decimal point to show the total value of 5 quarters

aivan3 [116]

So 1 quater is 25 cents each. 5 quaters would be 125 cents. We know that 4 quaters equal $1.00 So we now have 1 quater left, you can add 25 cents to one dollar and get $1.25
So we started off with 125 cents so we added in a decimal point and added in a dollar sign. Hope this helps.

6 0

3 years ago

The sum of the digits of a certain two-digit number is 11. When you reverse its digits you increase by 9. What is the number?

jarptica [38.1K]

The number is composed by two digits, let them be ab, so we have:
a + b = 11

this is a pseudo-equation, we are not multiplying ab or ba, is just the digits order.
ba = ab + 9
The pairs of numbers that could comply with the first equation are:
(2,9)
(3,8)
(4,7)
(5,6)
But only the last couple (5,6) comply as well with the second condition. Because 65 = 56 + 9
Therefore the unknown number is 56

8 0

4 years ago

Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol

Dima020 [189]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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 population proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can assume an estimated proportion of $\hat p =0.5$ since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

6 0

4 years ago

The following diagram shows parallel lines cut be a transversal. What is the measure of Angle 2?

Crank

2x + 100 = 5x + 55
3x = 45
x = 15

2(15) + 100 = 130

180-130 = 50

so angle 2 is 50 degrees

3 0

3 years ago

Jill has a balance of $5,000 on one credit card with an annual interest rate of 10%. To pay of the $5,000 in three years, Jill w

masha68 [24]

Answer:

Jill has to pay US$ 413.64 in addition when the interest rate changes from 5% to 10% on the US$ 5,000 balance

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Minimum monthly payment Jill have to make to pay the balance of US$ 5,000 with an annual interest rate of 10% = US$ 161.34

Minimum monthly payment Jill have to make to pay the balance of US$ 5,000 with an annual interest rate of 5% = US$ 149.85

Time it takes pay totally the US$ 5,000 on both credit cards = 3 years

2. How much more does Jill have to pay when the interest rate changes from 5% to 10% on the $5,000 balance?

To find the difference between the two credit cards monthly payments, we make this calculation:

Difference = Minimum monthly payment Jill have to make to pay the balance of US$ 5,000 with an annual interest rate of 10% - Minimum monthly payment Jill have to make to pay the balance of US$ 5,000 with an annual interest rate of 5%

Difference = 161.34 - 149.85

Difference = US$ 11.49 per month

Now, for calculating how much more Jill has to pay when the interest rate changes from 5% to 10% on the US$ 5,000 balance, we use this multiplication:

Monthly difference * 3 years = monthly difference * 36 months

= 11.49 * 36 = 413.64

Jill has to pay US$ 413.64 in addition when the interest rate changes from 5% to 10% on the US$ 5,000 balance

3 0

4 years ago

Subtract: (11w^3 + 15) – (-11w^3)​

Subtract: (11w^3 + 15) – (-11w^3)