Round 5.659 to the nearest hundredth

katovenus [111]

Answer:

$593.26

Step-by-step explanation:

We know that the price of the laptop is $2500 and each year its resale value decreases by 25%. It means that 100 - 25 = 75% of the value is retained every year for the resale.

So, the resale value for 1st year = $\frac{75}{100} *2500 =$ $1875

for 2nd year = $\frac{75}{100} *1875 =$ $1406.25

for 3rd year = $\frac{75}{100} *1406.25 =$ $1054.7

for 4th year = $\frac{75}{100} *1054.7 =$ $791.01

for 5th year = $\frac{75}{100} *791.01 =$ $593.25

Or we can use the following formula to find its resale value after 5 years:

$2500*(0.75)^5 =$ $593.26

4 0

3 years ago

The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.

Daniel [21]

Answer:

89

91

Step-by-step explanation:

Supplementary means the pair of angles that have this relationship add up to 180 degrees.

If you assume n is odd, then the very next odd number is n+2.

Example 5 is odd and the next odd number after 5 is 7. This fits the pattern of n and n+2 when n=5.

So we are given the degree measurement of an angle and it's supplement are consecutive odd integers.

So let's pretend the supplement of A is B. This means A+B=180.

We are also given A and B are consecutive odd integers, so this means we are going to let A=n and B=n+2.

Let's put this into our equation for A+B=180:

(n)+(n+2)=180

n + n+2 =180

2n +2 =180

Subtract 2 on both sides:

2n =178

Divide both sides by 2:

n =178/2

Simplify right hand side:

n =89

If n=89, then n+2=89+2=91.

Does 89+91=180? Yep.

Are 89 and 91 consecutive odd numbers? Yep.

Here are some consecutive numbers including those: 89,90,91

Yes 91 is the next odd number after 89.

3 0

3 years ago

Read 2 more answers

Non example of complex fraction.

Law Incorporation [45]

Answer:

42/6

Step-by-step explanation:

:P

6 0

3 years ago

Read 2 more answers

Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1

svet-max [94.6K]

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

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 zscore 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 pvalue, 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 $s = \frac{\sigma}{\sqrt{n}}$ .