Simplify the expression -15m + 9m

Answer?? what’s is the value of a

max2010maxim [7]

Answer:

13

Step-by-step explanation:

since the inside of a triangle is equal to 180

180-42-73=65

65/5=13 so 13 should be the answer.

6 0

3 years ago

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Barbara purchased a home entertainment center for $2,665 using an 18-month deferred payment plan with an interest rate of 24.36%

Andre45 [30]

Answer:

P = $ 144.99

Step-by-step explanation:

Given data:

cost of home entertainment center is $2665

duration of deferred payment plan is 18 month

interest rate is 24.36%

Total amount to be paid is $= P(1+ \frac{R}{100})^t$

$= 2665 (1+ \frac{24.36}{100})^1.5$

A = 3695.88

From the information in the questioon this amount is to be paid in 3 year . Thus we have

Monthly payment is =

$P = \frac{r(Pv)}{1 - (1+ r)^{-n}}$

p = monthly payment

Pv = present value = 3695.88

r =rate per period $= \frac{24.36}{12} = 0.020$

n = number of period $= 12\times 3 = 36$

plugging all value in the above formula

$P = \frac{0.020\times 3695.88}{1 - (1+0.020)^{-36}}$

P = $ 144.99

5 0

3 years ago

The travel time on a section of a Long Island Expressway (LIE) is normally distributed with a mean of 80 seconds and a standard

user100 [1]

Answer:

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

Step-by-step explanation:

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.

Mean of 80 seconds and a standard deviation of 6 seconds.

This means that $\mu = 80, \sigma = 6$

What travel time separates the top 2.5% of the travel times from the rest?

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a p-value of 0.975, so X when Z = 1.96.

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

$1.96 = \frac{X - 80}{6}$

$X - 80 = 6*1.96$

$X = 91.76$

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

3 0

2 years ago

What is the area of the figure?

Mrrafil [7]

Answer:

The shape has a total area of 14.96cm²

Step-by-step explanation:

To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.

The outer rectangle is 5.6 by 6.4 cm. To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².

Next the inner rectangle needs to be subtracted. First though, we need its width, which we're not directly given.

We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle. All we need to do then is subtract the later from the former to the the inner rectangle's width:

5.6cm - 1.2cm - 0.8cm = 3.6cm

Great! The inner rectangle has an area of 3.6cm × 5.8cm. That gives us 20.88cm².

The final step is to subtract that 20.88 square cm from the 35.84 that we already have. Doing so gives us a result of 14.96cm², and that is the final answer.

5 0

2 years ago

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Which of the following is the best description of a positive association between two variables?

julsineya [31]

B) the values will create a line with positive slope when graphed on a scatter plot.

4 0

3 years ago