Draw and identify the coordinates of the image of the figure after a 90° counterclockwise rotation about the origin.

Henry has been typing a book report that contains 1250 words. So far he has been typing for 1/4 hour at a rate of 30 words per m

Rasek [7]

He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes

Step-by-step explanation:

The given is:

Henry has been typing a book report that contains 1250 words
He has been typing for 1/4 hour at a rate of 30 words per minutes
He must type the remainder of the report in 25 more minutes

We need to find his rate to finish the remaining report in 25 minutes

∵ Henry has been typing for 1/4 hour at a rate of 30 words per minute

- We must to change $\frac{1}{4}$ hour to minutes

∵ 1 hour = 60 minutes

∴ $\frac{1}{4}$ hour = $\frac{1}{4}$ hour × 60 = 15 minutes

∴ He has been typing for 15 minutes at a rate of 30 words per minute

∵ The number of words has been typed = his rate × time

∴ The number of words has been typed = 30 × 15 = 450 words

∵ The book report that contains 1250 words

- Subtract the number of words has been typed from the total

words to find the remaining word in the book

∴ The remaining words = 1250 - 450 = 800 words

∵ He plans to finish them in 25 minutes

- Substitute the number of the remaining words and the time

in the rule above to find his rate

∵ 800 = his rate × 25

- Divide both sides by 25

∴ His rate = 32 words per minute

He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes

Learn more:

You can learn more about the rate in brainly.com/question/10712420

#LearnwithBrainly

6 0

3 years ago

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasonin

garik1379 [7]

Answer:

No

Step-by-step explanation:

3x-8+3x+7-(simplified)-> 6x-1, which does not have (x+5) as a factor

4 0

2 years ago

Read 2 more answers

I want to know the answer of all of them

Nady [450]

A. 3/5 * 60 minutes = 180/5 = 36 minutes
b. (3/4)/12 = 3/(4*12) = 3/48 = 1/16 cup
c. (5 1/3) / (2/3) = (16/3) / (2/3) = 16/3 * 3/2 = 48/6 = 8 days
d. 137/16 = 8.5625 pounds

5 0

2 years ago

Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the following probabiliti

lorasvet [3.4K]

Answer:

Step-by-step explanation:

Hello!

Given the variable

X: number of bars of service on your cell phone.

The posible values of this variable are {0, 1, 2, 3, 4, 5}

a. F(X) is the cummulative distribution function P(X≤x₀) you can calculate it by adding all the point probabilities for each value:

X: 0; 1; 2; 3; 4; 5

P(X): 0.15; 0.25; 0.25; 0.15; 0.1; 0.1

F(X): 0.15; 0.4; 0.65; 0.8; 0.9; 1

The maximum cumulative probability of any F(X) is 1, knowing this, you can calculate the probability of X=5 as: 1 - F(4)= 1 - 0.9= 0.1

b.

The mean of the sample is:

E(X)= ∑Xi*Pi= (0*0.15)+(1*0.25)+(2*0.25)+(3*0.15)+(4*0.1)+(5*0.1)

E(X)= 2.1

V(X)= E(X²)-(E(X))²

V(X)= ∑Xi²*Pi- (∑Xi*Pi)²= 6.7- (2.1)²= 2.29

∑Xi²*Pi= (0²*0.15)+(1²*0.25)+(2²*0.25)+(3²*0.15)+(4²*0.1)+(5²*0.1)= 6.7

c.

P(X<2)

You can read this expression as the probability of having less than 2 bars of service. This means you can have either one or zero service bars, you can rewrite it as:

P(X<2)= P(X≤1)= F(1)= 0.4

d.

P(X≤3.5)

This expression means "the probability of having at most (or less or equal to) 3.5 service bars", this variable doesn't have the value 3.5 in its definition range so you have to look for the accumulated probability until the lesser whole number. This expression includes the probabilities of X=0, X=1, X=2, and X=3, you can express it as the accumulated probability until 3, F(3):

P(X≤3.5)= P(X≤3)= F(3)= 0.80

I hope it helps!

5 0

3 years ago

Pietro has $75. He used 3/5 of his money to buy a new pair of running shoes. How much did Pietro spend on his new shoes

cupoosta [38]

Step-by-step explanation:

HI Sofia!

So this is how you find the answer.

Amount of money pietro has=$75

Amount of money he spent on shoes=3/5 of 75

=3/5*75= 45

Thus, Pietro spent $45 on shoes.

7 0

2 years ago

Read 2 more answers

Draw and identify the coordinates of the image of the figure after a 90° counterclockwise rotation about the origin. ​

Draw and identify the coordinates of the image of the figure after a 90° counterclockwise rotation about the origin.