The area of a circle is square centimeters. What is the radius?

Sunil earns $12 in one hour d=hours and h=hours

Dennis_Churaev [7]

To find out how much Sybil would make in a certain amount of time, the equation would be:

h * 12

(hours times number of dollars per hour, which is 12)

Hope this helps!! :)

4 0

4 years ago

Hakim saves money for one year to buy a computer.

elena55 [62]

Answer:

$111

Step-by-step explanation:

First we need to take a look at the bank account of Hakim. Hakim initially invested $700 in the bank with a 5% simple interest annually. Since Hakim waited for an entire year before buying the computer, he will then have the extra 5% interest from the bank.

Let's first compute for how much Hakim will have in total in the bank.

A = P(1 + rt)

P = 700 Initial Investment

r = 5% or 0.05 Interest

t = 1 Year

A = 700(1 + (0.05 x 1))

A = 700(1 + 0.05)

A = 700(1.05)

A = 735

So now we know that Hakim has a total of $735 in his bank account.

Now let's move on to calculating the total cost of the computer. We know that the sales tax is always computed after the discounted price.

So first we find the discounted price.

x = 750

d = 20% or 0.20

Discount = 750 x 0.20

Discount = 150

Now that we have the discount of the computer, we then simply subtract the discount to the initial price.

750 - 150 = 600.

The computer will then cost $600 with the discounted price.

Now we have to find the sales tax.

Sales Tax = 4% or 0.04

Total Discounted Price = 600

600 x 0.04 = $24

Now that we have the sales tax, we simply add the sales tax to the discounted price.

600 + 24 = 624.

Now that we know how much the total cost of the computer is with the discount and sales tax, we simply subtract the total cost of the computer to Hakim's current account balance.

735 - 624 = 111

Hakim will have a total of $111 in his bank account after purchasing the computer.

4 0

4 years ago

Algebra 2

olga55 [171]

Answer:

=5

Step-by-step explanation:

-7-6(-2)

-7+12

=5

sorry didn't read it right

4 0

4 years ago

Residences of U.S. Citizens According to the U.S. Census, 67.5% of the U.S. population were born in their state of residence. In

trasher [3.6K]

Answer:

P(X < 126) = 0.0418

Step-by-step explanation:

To solve this question, we use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .