All categories

2 years ago

PLEASE ANSWER THIS QUESTION TOO !! FOR 30 POINTS AND BRAINLIEST!!

Mathematics

2 answers:

s344n2d4d5 [400]2 years ago

8 0

Answer:

3000 books

Step-by-step explanation:

We know the author receives a one time fee of $2500. On top of that, the author will receive $1.50 per book sold. This is a constant rate and is linear because of this. We can use y=mx+b. M is the slope or rate of change. M here is $1.50. B is the starting value which is $2500 here.

We write y=1.5x+2500.

This equation will give the amount of money the author earns for x number of books sold. If y=7000 for the author earning 7000. We will use inverse operations to isolate and find x.

7000=1.5x+2500

7000-2500=1.5x+2500-2500

4500=1.5x

4500/1.5=x

3000=x

kodGreya [7K]2 years ago

4 0

Answer:

The author must sell 300 books.

Step-by-step explanation:

The total amount earned = advance + books sold * money per book

We know they want to make 7000

The advance is 2500

They earn 1.50 for each book sold

b= number of books sold

Substituting in

7000= 2500 + 1.5b

Subtract 2500 from each side

7000-2500 = 2500-2500 + 1.5 b

4500 = 1.5 b

Divide each side by 1.5

4500/1.5 = 1.5b/1.5

3000 = b

You might be interested in

The Thomas family bought 5 subs and 4 drinks. They spent 49.50 write and equation that models this situation define x and y vari

OlgaM077 [116]

Answer:

5x+4y=49.50, where:

x is the price per sub

y is the price per drink

Step-by-step explanation:

From the information provided, you can say that the result of adding up the price per sub for the quantity plus the price per drink for the quantity is equal to 49.50 that is the total amount spent, which can be expressed as:

5x+4y=49.50, where:

x is the price per sub

y is the price per drink

5 0

2 years ago

Joe is recording the percentages he earned on each quiz In his math class. Here are his results for the last 7 quizzes. 72, 82,

Ivenika [448]

The answer is 16 because u need to subtract the largest and the lowest

8 0

3 years ago

Consider the recursively defined function below

Zinaida [17]

Answer:

So, the first five terms of the sequence defined by the given recursive function are shown below.

F(1) 0.75 f(2) 1.1 F(3) 1.45 F(4) 1.8 f(5) 2.15

written on plato

Step-by-step explanation:

5 0

2 years ago

What is the vertex of the graph of y = –x2?

ICE Princess25 [194]

The answer to this question is (0,0).

6 0

2 years ago

(10 points)Assume IQs of adults in a certain country are normally distributed with mean 100 and SD 15. Suppose a president, vice

vesna_86 [32]

Answer:

0.0139 = 1.39% probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

Step-by-step explanation:

To solve this question, we need to use the binomial and the normal probability distributions.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Probability the president will have an IQ of at least 107.5

IQs of adults in a certain country are normally distributed with mean 100 and SD 15, which means that $\mu = 100, \sigma = 15$

This probability is 1 subtracted by the p-value of Z when X = 107.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{107.5 - 100}{15}$

$Z = 0.5$

$Z = 0.5$ has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 probability that the president will have an IQ of at least 107.5.

Probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

First, we find the probability of a single person having an IQ of at least 130, which is 1 subtracted by the p-value of Z when X = 130. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{130 - 100}{15}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

Now, we find the probability of at least one person, from a set of 2, having an IQ of at least 130, which is found using the binomial distribution, with p = 0.0228 and n = 2, and we want:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.9772)^{2}.(0.0228)^{0} = 0.9549$

$P(X \geq 1) = 1 - P(X = 0) = 0.0451$

0.0451 probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

What is the probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130?

0.3085 probability that the president will have an IQ of at least 107.5.

0.0451 probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

Independent events, so we multiply the probabilities.

0.3082*0.0451 = 0.0139

8 0

2 years ago