5 + (-3) what is the answer

A group of 15 friends take a trip to a water park. The total price of the trip is $599.85 before any discounts. The total price

Citrus2011 [14]

Answer:10

Step-by-step explanation:

3 0

4 years ago

Malory isn’t putting money in two savings accounts.Account A started with $150 and Account B started with $300.Malory deposits $

EastWind [94]

Given:

There are two savings accounts - account A has $150 and account B has $300 to begin with.
Malorie deposits $16 in account A and $12 in account B every month.

To Find:

The number of months where the balance of both is equal and the balance itself.

Solution:

In 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to $750 in both account A and B.

Calculation:

Let x be the number of months where both the accounts have equal balance.

So, at the end of x months, 16x is the amount of money that will be added to account A (since $16 is added every month).

And the total amount at the end of x months will therefore be $(150+16x)

Similarly, at the end of x months, 12x is the amount of money that will be added to account B (since $12 will be added every month).

And the total amount at the end of x months will therefore be $(300+12x)

By our assumption, x is the number of months it will take for both the accont balances will be equal. Therefore, we have the equation

$150+16x=300+12x\\4x=150\\x=37.5$

Therefore, in 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to $150+16(37.5)=750$ i.e. $750 will be the balance in both account A and B.

8 0

3 years ago

Suppose the number of inches of rainfall each year in a city is normally distributed. For a random sample of years, the confiden

quester [9]

Answer:

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Or equivalently:

$\bar X \pm ME$

For this case we have the interval given (3.9, 7.7) and we want to find the margin of error. Using the property of symmetry for a confidence interval we can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{7.7-3.9}{2}= 1.9$

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Or equivalently:

$\bar X \pm ME$

For this case we have the interval given (3.9, 7.7) and we want to find the margin of error. Using the property of symmetry for a confidence interval we can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{7.7-3.9}{2}= 1.9$

4 0

3 years ago

Pls pls help for math

yan [13]

Answer and Step-by-step explanation:

The answer would be D. 82%.

All we need to do is add together the amount that can swim.

We do this because all of the numbers added together equals 1, so the parts that are split off represent the percentages (in decimal form) of the total amount of people.

0.34 + 0.48 = 0.82.

Multiply by 100 and we get 82%.

#teamtrees #PAW (Plant And Water)

3 0

3 years ago

P is an odd number explain why p^2 + 1 is always an odd number

anyanavicka [17]

P^2+1 even because
Step-by-step explanation:
P is an odd number
Any odd number squared is odd
Therefore,P^2+1 is odd
Any odd number= because odd odd =even
Be=P^2+1 is odd odd =even
... P^2+1 = even

6 0

3 years ago