A ball is thrown from an initial height of 3 meters with an initial upward velocity of 13 m/s. The ball's height h

Kyle has $1 comma 000 in cash received for high school graduation gifts from various relatives. He wants to invest it in a cert

Vera_Pavlovna [14]

Answer:

$1077.283

Step-by-step explanation:

When complete the first year the amount will be:

1000 * 1.015= 1015

1.015 because the rate is added to the initial amount, that is: 100%+1.5% = 1 + 0.015= 1.015

When complete the second year the amount will be the last year amount adding the rate interest:

1015*1.015=1030.225.

To the third year:

1030.225*1.015=1045.678

To the fourth year:

1045.678*1.015=1061.363

To the fifth year:

1061.363*1.015=1077.283

4 0

3 years ago

What is the slope of the line? A. 0 B. 1 C. undefined D. infinity

Tanya [424]

Learn this...
HOY -- horizontal line, 0 slope, represented by y = a number
VUX -- vertical line, undefined slope, represented by x = a number

ok....so ur graph shows a vertical line....and a vertical line has an undefined slope

7 0

3 years ago

What us 81 percent of 62

Travka [436]

Steps:
1. Do a proportion
X/62= 81/100
2. Do 81 times 62 which is 5,022
3. Now divide 5,022 by 100 which is 50.22
4. Your answer is 50.22

5 0

3 years ago

Read 2 more answers

Eight hundred thirty-three billion, four hundred thousand, nine hundred six

kompoz [17]

Answer:

What's the question?

Step-by-step explanation:

I will help if I knew the question

7 0

2 years ago

kicyunya [14]

Answer:

8.69% probability that at least 285 rooms will be occupied.

Step-by-step explanation:

For each booked hotel room, there are only two possible outcomes. Either there is a cancelation, or there is not. So we use concepts of the binomial probability distribution to solve this question.

However, we are working with a big sample. So i am going to aproximate this binomial distribution to the normal.

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 samples 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

A popular resort hotel has 300 rooms and is usually fully booked. This means that $n = 300$

About 7% of the time a reservation is canceled before the 6:00 p.m. deadline with no pen-alty. What is the probability that at least 285 rooms will be occupied?

Here a success is a reservation not being canceled. There is a 7% probability that a reservation is canceled, and a 100 - 7 = 93% probability that a reservation is not canceled, that is, a room is occupied. So we use $p = 0.93$