Enter the missing numbers in the boxes to complete the table of equivalent ratios.

Marguerite sailed 4 hours on Saturday and 3 hours on Sunday. Each day, she sailed at a rate of 11 miles per hour. Which statemen

prohojiy [21]

11 multiplied by 4 = 44....11 multiplied by 3 = 33....44 + 33 = 77....

6 0

3 years ago

Read 2 more answers

Jonas is planning to use part of the land behind his house to have a soccer field. Jonas plots his soccer field plan on a grid.

Helga [31]

Answer:

The other two vertices have coordinates (4,4) and (10,8). He will need 40 meters of fence for the soccer field. And inside the fence there are 48 square meters, which is a 24% of the total surface of the land behind his house, assuming it is a square of 10 meters of lengt and 10 meters of width.

Step-by-step explanation:

Since the coordinates must form a rectange, then, the other two location must be (4,4) and (10,8) (each coordinate must have something in common with the coordinates of the 2 locations we were given).

The sides of the fence have length 8-4 = 4, and 10-4 = 6. Thus, the perimeter of the fence is 2*4+2*6 = 20 units. Since each unit is 2 meters, then that means that Jonas will need 40 meters of fence.

The area inside the fence is 6*4 = 24 square units, therefore it is 48 square meters, and assuming that the grid goes from 0 to 10 in both coordinates, the area of the land behind his house is 10*10 = 100 square units, thus it is 200 square meters. He is using 48/200*100 = 24% of the land for the soccer field.

6 0

3 years ago

A pyramid with a square base with dimensions 12 by 7 is shown. A cone is cut out of the center of the pyramid. The cone has a he

maks197457 [2]

Answer:

2 and 4

2) One-third(7)(12)(10) – One-thirdπ(32)(10)

4) 280 – 30π

4 0

3 years ago

What happens to the oxygen released during photosynthesis?

vlabodo [156]

Answer:

I believe your answer is C, the oxygen atoms diffuse through the atmosphere and are

inhaled by animals.

Step-by-step explanation:

Plants take in water that later splits to create hydrogen and oxygen. Since plants don't need oxygen, it gets released into the atmosphere for us and other animals to breathe.

3 0

3 years ago

For which of the following counts would a binomial probability model be reasonable? a. The number of traffic tickets written by

timama [110]

Answer:

c. The number of 7's in a randomly selected set of five random digits from a table of random digits.

True, for this case we have a value fixed for n =5 and the probability is defined for each number 1/10 assuming numbers (0,1,2,3,4,5,6,7,8,9) so then the random variable "The number of 7's in a randomly selected set of five random digits" can be modelled with the binomial probability function.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n, p)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The conditions to apply this distribution is that we have the parameters fixed n and p.

Let's analyze one by one the possible solutions:

a. The number of traffic tickets written by each police officer in a large city during one month.

False, the number of traffic tickets written by each police is not a fixed amount always, so then the value of n change and we can't apply a binomial model for this case.

b. The number of hearts in a hand of five cards dealt from a standard deck of 52 cards that has been thoroughly shuffled.

False, not all the hands of size 5 are equal and since we can't ensure this condition then the binomial model not apply for this case

c. The number of 7's in a randomly selected set of five random digits from a table of random digits.

True, for this case we have a value fixed for n =5 and the probability is defined for each number 1/10 so then the random variable "The number of 7's in a randomly selected set of five random digits" can be modelled with the binomial probability function.

d. The number of phone calls received in a one-hour period.

False, the number of phone calls change by the hour and is not always fixed so then we don't have a valu for n, and the binomial model not applies for this case.

e. All of the above.

False option C is correct.

5 0

3 years ago