what is the y intercept of a line that has a slope of -3 and passes through point 0.-7?​

Answers

Answer 1

Answer:

-7

Step-by-step explanation:

(x,y) --> (0,-7) -7 is the y-intercept

Answer 2

Answer:the answer is -7

Step-by-step explanation:


Related Questions

Please help me find the missing measurements of this :)

Answers

Answer:

4mm

Step-by-step explanation:

The ratio of the two congruent shapes are 2.5:1

15 : 6 = 2.5 : 1

15/6 = 2.5

5 : 2 = 2.5 : 1

5/2 = 2.5

Therefore, 10 : x = 2.5 : 1

10/x = 2.5

x = 4

Answer: 15, 2, 6, and 5

Step-by-step explanation: they are equal to the measurements listed

The table below shows the weekly change in the price of one gram of gold for four weeks.
ONE GRAM OF GOLD
Week
Weekly Change in the Price (dollars)
1
+ 1.
2
-3.
3
+ 2.
4
+3.

By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? Did the price increase or decrease? explain












At the end of week 4, the price per gram of gold was $39. What was the price per gram of gold at the beginning of week 1?

Show your work in the box below.








Answer _____________ price per gram of gold

Answers

Answer:

THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL

Step-by-step explanation:

Why did karen take the kids (;´༎ຶД༎ຶ`)

Answers

haha life question right there

Wait Jimmy what are you doing here I didn't expect this

so we meet again, brother.

Answer:

Because Karen found your briefcase of $1 bills and some crusty socks.

Get over the divorce Jimmy, she doesn't like fax machines.

if you subtract 19 from my number and multiply the difference by -2​, the result is -8

Answers

Answer:cool

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

let the number be 'a'

-2(a - 19)= -8

open the brackets

-2a + 38 = -8

collect like terms

38 + 8 = 2a

46 = 2a

a = 23

A dog-washing salon is filling up the tub to was a dog. When the employee got to the tub,
there were already 2 gallons of water in the tub. She will fill the tub at a rate of 3 gallons a
minute.

Answers

Answer:

If there was 2 gallons in the tub at the moment, it must mean that it has been 2/3 of a minute or 40 seconds.

The two rates would be 3:60 and 2:40 and so on 1:20

Step-by-step explanation:

Good luck! Hope this helps! <3

Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?

To find the length of Bentley’s long run, you would use:

5 – 2.25

Question 1 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.

he cost of manufacturing a particular videotape is ​C(x)9000​9x, where x is the number of tapes produced. The average cost per​ tape, denoted by ​, is found by dividing by x. Find .

Answers

Answer:

The average cost per​ tape is 10.

Step-by-step explanation:

The cost of manufacturing a particular videotape is :

C(x) = 9000+9x

Where

x is the number of tapes produced.

We need to find the value of average per tape i.e. [tex]\lim_{x \to 9000} \bar C(x)[/tex]

[tex]\bar C(x)=\dfrac{9000+9x}{x}\\\\=\dfrac{9000}{x}+9\\\\ \lim_{n \to 9000} \bar C(x)=\dfrac{9000}{9000}+9\\\\=1+9\\\\=10[/tex]

So, the average cost per​ tape is 10.

1. In 1995, the average level of mercury uptake in wading birds in the Everglades was 15 parts per million. If we assume that the distribution of mercury uptake has a standard deviation of 1 part per million, and a current sample of 25 wading birds has an average of 14.6 parts per million. Which null and alternative hypotheses would be used to test that the level of mercury uptake in the Everglades has decreased since 1995?

Answers

Answer:

We reject H₀, we find that the  current level of mercury uptake in the Everglades has decrease

Step-by-step explanation:

We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)

Test Hypothesis:

Null hypothesis             H₀          μ   =  μ₀

Alternative hypothesis Hₐ          μ   <  μ₀

Sample size 25             then n < 30 we will use t-student table

Population mean : μ₀ = 15 ppm

sample mean :  μ  = 14,6 ppm

sample standard deviation:   s = 1 ppm

Sample size n :  25

degrees of freedom   df = n - 1         df = 24

We will develop the test for CI 90%  then  α = 10%      α = 0,1   α/2 = 0,05

For that values in t student table we find:

t(c) = 1,711    by symmetry t(c) = - 1,711

To compute ts

t(s) =  ( μ - μ₀ ) / s/√n

t(s) = 14,6 - 15 / 1 /√25

t(s) = - 0,4*5 / 1

t(s) = - 2

Comparing t(c)and t(s)

|t(s)| > |t(c) |      and t(s) < t(c)         -2 < -1,711

Therefore t(s) in in the rejection region, we reject H₀  

The cost of a ticket t will be no more than 26$

Answers

Answer: What's the question?

Step-by-step explanation:

Write the equation of the line:
(0,3); slope -2

Answers

Answer:

y=-2x+3

Step-by-step explanation:

the y-intercept is (0,3) and the slope is -2, just plug that in to the slope intercept form, y=mx+b

Pls mark as brainliest thank u.

Please help. I will mark brainliest.​

Answers

Thanks for doing nothing

Answer:

andrew gets 15 dollars a hour

and andr

The probability that an employee at a company uses illegal drugs is 0.08. The probability that an employee is male is 0.62. Assuming that these events are independent, what is the probability that a randomly chosen employee is a male drug user?

Answers

Answer: 0.0496

Step-by-step explanation:

If events are said to be independent it means that the probability of one happening does not affect the probability of the other.

In calculating the probability that an employee is both male and a drug user using independent events, multiply the probabilities of the individual events to find the probability of the the events happening together.

P(A) * P(B) = P(A and B)

0.08 * 0.62 = 0.0496

Probabilities are used to determine the chances of events.

The probability that a randomly chosen employee is a male drug user is 0.0496

Represent the two events as A and B, such that:

[tex]P(A) = 0.08[/tex]

[tex]P(B) =0.62[/tex]

So, the probability that a randomly chosen employee is a male drug user is calculated as:

[tex]P(A\ and\ B) =P(A) \times P(B)[/tex]

This gives

[tex]P(A\ and\ B) =0.08 \times 0.62[/tex]

Multiply

[tex]P(A\ and\ B) =0.0496[/tex]

Hence, the probability that a randomly chosen employee is a male drug user is 0.0496

Read more about probabilities at:

https://brainly.com/question/20227629

Need help got until 12:10

Answers

x = -1
I used combining like terms and properties as well as cancelling denominators. Ask me in the comments for any clarity!

g Problem 7. (10 points) A random sample of 100 Cooper County residents showed that 18 are college graduates and a second random sample of 50 Boone County residents showed that 28 are college graduates. Round your final answer to each part to three decimal places, but do not round during intermediate steps. The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is

Answers

Answer:

The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.

Step-by-step explanation:

Denote the events as follows:

C = Cooper County resident

B = Boone County resident

G = graduate

NG = non-graduate

The information provided is summarized as follows:

               G       NG     Total

     C       18       82       100

     B       28      22        50

Total       46      104      150

Compute the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents as follows:

[tex]\text{Relative Risk}=\frac{\text{Graduates in Boone County}}{\text{Graduates in Cooper County}}[/tex]

                      [tex]=\frac{28/50}{18/100}\\\\=\frac{28}{50}\times \frac{100}{18}\\\\=3.11111\\\\\approx 3.11[/tex]

Thus, the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.

The relative risk of remaining a college graduate for Boon County residents in comparison to Cooper County residents would be 0.500

Relative risk:

Relative risk is used in the statistical analysis of the data of ecological, cohort, medical, and intervention studies, to estimate the strength of the association between exposures (treatments or risk factors) and outcomes. Mathematically, it is the incidence rate of the outcome in the exposed group.

The relative risk is calculated by dividing the probability of an event for group 1 divided by the probability of an event occurring for group 2.

The probability of the Boone country resided is a college graduate,

By the formula of classical probability [tex]P(A)=\frac{m}{n}[/tex] then,

[tex]\frac{18}{100}=0.18[/tex]

The probability of cooper country resided is a college graduate is,[tex]\frac{18}{50}=0.36[/tex]

The relative risk is being a college graduate Boone country resided as compared to cooper country resident is,

[tex]\frac{0.18}{0.36} =0.500[/tex]

Learn more about the topic of Relative risk:

https://brainly.com/question/24352707

. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what circumstances? Below are listed the numbers of deaths from lightning since 1996. Golf/ball field Boating/ in water Outside/camping Construction Under a tree Phone Other 1996–2000 16 23 117 9 40 0 30 2001–2005 17 16 112 3 35 0 23 2006–2010 15 17 91 0 42 1 16 Choose one fatality at random and find each probability. a. Given that the death was after 2000, what is the probability that it occurred under a tree? b. Find the probability that the death was from camping or being outside and was before 2001. c. Find the probability that the death was from camping or being outside given that it was before 2001

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

      [tex]P(U |D ) = 0.198 [/tex]

b

   [tex]P(O\ n \ B) = 0.188[/tex]

c

  [tex]P(O | B) =   0.498 [/tex]

Step-by-step explanation:

The total number of deaths is mathematically represented as

      [tex]T   =  16 +  23 + \cdots  +  16[/tex]

        [tex]T   =623 [/tex]

The total number of deaths in 1996 - 2000 is mathematically represented as

     [tex]T_a =  16 +  23+ \cdots + 30[/tex]

      [tex]T_a = 235 [/tex]

The total number of deaths in 2001 - 2005 is mathematically represented as

     [tex]T_b =  17 +  16 + \cdots + 23[/tex]

      [tex]T_b = 206 [/tex]

The total number of deaths in 2006 - 2010 is mathematically represented as

     [tex]T_c =  15 +  17 + \cdots + 16[/tex]

      [tex]T_d = 182 [/tex]

Generally the the probability that it would occur under the tree given that the death was  after  2000 is mathematically represented as

     [tex]P(U |D ) = \frac{P(A \ n\  U )}{P(A)}[/tex]

Here  [tex]P(A \ n\  U )[/tex] represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as

         [tex]P(A \ n\  U )   = \frac{Z}{ T}  [/tex]

Here Z is the total number of death under the tree after 2000 and it is mathematically represented as

         [tex]Z =  35 +  42[/tex]

=>       [tex]Z =  77 [/tex]

=>       [tex]P(A \ n\  U )   = \frac{77}{ 623}  [/tex]

=>      

Also

     [tex]P(A)[/tex] is the probability of the death occurring after 2000  and this is mathematically represented as

        [tex]P(A) =  \frac{T_b  +  T_c}{ T}[/tex]

=>      [tex]P(A) =  \frac{ 206+  182}{623}[/tex]

=>  

So

         [tex]P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+  182}{623}}[/tex]

=>      [tex]P(U |D ) = 0.198 [/tex]

Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as

      [tex]P(O | B) = \frac{T_z}{ T}[/tex]

Here [tex]T_z[/tex] is the total number of death outside / camping before 2001  and the value is  117  

So

            [tex]P(O \ n \ B) = \frac{117}{623}[/tex]

=>          [tex]P(O\ n \ B) = 0.188[/tex]

Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as

       [tex]P(O | B) =  \frac{ P( O \ n \ B)}{ P(B)}[/tex]

Here [tex]P(B)[/tex] is the probability that it was before 2001 , this is mathematically represented as  

          [tex]P(B ) =  \frac{T_a}{T}[/tex]

=>       [tex]P(B ) =  \frac{235}{623}[/tex]

So

          [tex]P(O | B) =  \frac{ \frac{117}{623}}{ \frac{235}{623}}[/tex]

=>       [tex]P(O | B) =   0.498 [/tex]

HELP ASAP IT'S AN EMERGENCY​

Answers

AAS you have two angles and a side

6. (02.01 MC)

The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Florida. Much information about healthcare comes from

patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the

Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to

the truth about the entire population? Explain. (6 points) (10 points)

Answers

Answer:

A)i) Population: Total number of people that reside in Florida..

II) Sample: 62348 people that took part in the random survey.

B) No, the estimates are not close to the truth of the entire population.

Step-by-step explanation:

A)i) The population is the total number of people that reside in Florida.

II) The sample is the 62348 people that took part in the random survey.

B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.

Find the value of a in the relation Cov(2X,−3Y+2)=a⋅Cov(X,Y) .
a=
c) Suppose that X , Y , and Z are independent, with a common variance of 5 . Then,
Cov(2X+Y,3X−4Z)=

Answers

Answer:

a = -6

Cov (2X+Y, 3X-4Z) = 30

Step-by-step explanation:

Key points:

Cov (aX, bY) = a·b·Cov (X, Y)Cov (X, X) = V (X) Cov (X, a) = 0If X and Y are independent then Cov (X, Y) = 0.

Cov(2X, -3Y+2) = a⋅Cov (X,Y)

Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)

(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)

-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)

⇒ a = -6.

(c)

Suppose that X, Y, and Z are independent, with a common variance of 5, i.e. V (X) = V (Y) = V (Z) = 5

Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)

                               = 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)

                               = (6 × 5) - 0 + 0 - 0

                               = 30

Thus, the value of Cov (2X+Y, 3X-4Z) is 30.

The value of a = -6. And, Cov (2X+Y, 3X-4Z) = 30.

Calculation of the value of a and cov:

Since

Cov (aX, bY) = a·b·Cov (X, Y)

Cov (X, X) = V (X)

Cov (X, a) = 0

In the case when X and Y are independent so Cov (X, Y) = 0.

Now

Cov(2X, -3Y+2) = a⋅Cov (X,Y)

Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)

(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)

-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)

a = -6.

(c)

here

Suppose that X, Y, and Z are independent, with a common variance of 5, i.e.

V (X) = V (Y) = V (Z) = 5

So,

Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)

= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)

= (6 × 5) - 0 + 0 - 0

= 30

Thus, the value of Cov (2X+Y, 3X-4Z) is 30.

Learn more about variance here: https://brainly.com/question/24138432

cual es el valor de 7 3/4 + 1 7/8 fraccionado

Answers

la respuesta de tu pregunta es: 15 5/8

A large bag of cashews weighs 9 1/4 pounds. One serving is 1/5 pound. How many servings are in the bag.

Answers

Answer as a mixed number = 46 & 1/4

Answer as a decimal = 46.25

===============================================

Work Shown:

9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25

1/5 = 0.2

A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.

Let x be the number of servings

1 serving = 0.2 pounds

x servings = 0.2x pounds after multiplying both sides by x

0.2x pounds represents the total bag's weight so,

0.2x = 9.25

x = 9.25/0.2

x = 46.25 answer in decimal form

x = 46 + 0.25

x = 46 + 1/4

x = 46 & 1/4  answer in mixed number form

This means we have 46 full servings plus an additional 1/4 of a serving.

How many years will it take for Steven to make a total of $21,200?
(7 points)
12
8
6
10

Answers

the answer would be 10

Pls answer fast Y=Mx+b for x

Answers

Answer:

y=mx+b

y=mx+b-b

y-b=mx

y-b/m = mx/m

y-b/m = x

Answer:

x = (y - b)/M.

Step-by-step explanation:

y = Mx + b

Mx = y - b

x = (y - b)/M.

PLEASE HELP
ILL GIVE BRAINLIEST

Answers

Answer:

f(7x−1)=63x−16

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1

9x = 7x + 6, 2x = 6, x = 3

Given the linear function f (x) = 4x - 2 identify the following;

Slope

Y intercept (let x = 0)

X intercept (let y = 0)

Is the function increasing or decreasing?

Answers

Answer:

slope: m = 4

y intercept:  (0, -2)

x intercept: (1/2,0) the 1/2 is one half

the function is increasing

What is the coefficient in the expression 10x+8

Answers

Answer:

In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant.

Answer: 10 + 8

Step-by-step explanation: If you want to find a coefficient you need to only remove the variable from the expression. For example what is the coefficient of 4x its 4. Please mark as the brainliest!

what is the pattern 2 10 40 120

Answers

Answer:

2 plus 3

Step-by-step explanation:

What is 837 divided by 27

Answers

Answer: 31

Step-by-step explanation: long division

837/27 equals 31, you can solve this by long division or using a calculator lol

​Researchers Wilt et al. (New England Journal of Medicine, 2012) investigated whether surgery, compared to just observation, was (more) effective in improving men’s survival chances after being diagnosed with prostate cancer. The researchers identified 731 men with localized prostate cancer who volunteered to participate. They randomly assigned 364 men to surgery and the remaining 367 to observation. All participants were followed for about 10 years. In those 10 years, 21 surgery recipients died of prostate cancer related reasons compared to 31 observation recipients.
1. Identify the observational units.
A. Men.
B. Men with prostate cancer.
C. Men with prostate cance.
D. Men with prostate cancer who received observation r who underwent surgery.
2. What type of study is this?
A. Experiment.
B. Observational study.
3. What is the primary purpose of random assignment in this type of study?
A. To ensure that subjects are representative of the popu lation of interest.
B. To ensure that the groups are of equal sizes.
C. To create treatment groups that are alike in all aspects zes except for the treatment administered.
D. To improve accuracy of results.
4. Identify the explanatory variable.
A. Whether or not man dies of prostate cancer related reasons.
B. Whether or not man undergoes surgery.
C. Percentage of men who die of prostate cancer related reasons.
D. The number o f men who undergo surgery and the number of men who are just observed.
5. Identify the response variable.

Answers

Answer:

(1) B

(2) A

(3) C

(4) B

Step-by-step explanation:

(1)

The observational units in this study are the men with prostate cancer.

(2)

As the study involves a treatment and a control group, it is an experimental study.

(3)

The primary purpose of random assignment in this type of study is to create treatment groups that are alike in all aspects except for the treatment administered.

(4)

The explanatory variable or the independent variable, is the variable that is altered to observe the changes in the dependent variable.

The explanatory variable in this case is whether or not man undergoes surgery.

(5)

The response variable or the dependent variable is the variable that is being observed for any changes for the given treatments.

The response variable in this case is whether or not man dies of prostate cancer related reasons.

Please help!!
x^2-2x+1-9y^2

Answers

Answer:

[tex]\left(x-1+3y\right)\left(x-1-3y\right)[/tex]

Step-by-step explanation:

[tex]x^2-2x+1-9y^2\\\\factor(skip for time)\\\\\left(x-1\right)^2-9y^2\\\\[/tex]

A little algebra process later...

you got the answer

Hoped this helped ya

<3

Red

Answer:

(x-1-3y) x (x-1+3y)

Step-by-step explanation:

x^2-2x+1-9y^2

Using a^2 - 2ab + b^2 = (a-b)^2 (factor the expression) = (x-1)^2 - 9y^2

(x-1)^2 - 9y^2 = (x-1-3y) x (x-1+3y)  should be the answer :)

3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.

Answers

Answer:

If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.

If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:

(-3)^2-4*2*12

=9-96

=-87

Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.

Other Questions
solve for U 32=2uSimplify your answer as much as possible. The recall measure allows voters to I need help solving all the questions.1. Rakesha claims that the equation f(n) 5 5n 2 7 is the function notation for the sequence that isrepresented by the explicit formula an 5 22 1 5(n 2 1). James doesnt understand how this can bethe case.a. Help James by listing the steps to write the explicit formula of the given sequence in functionnotation. Provide a rationale for each step.b. Graph the function. Label the fi rst 5 values of the sequence on the graph.2. Determine whether each table of values represents a linear function. For those that representlinear functions, write the function. For those that do not, explain why not. What is the y-intercept of the line?YA2-2-20 Evaluate the expresions -8-142+5 what three things are used to make glucose in photosynthesis? WILL MARK BRIANLIEST WRITE A SMALL PARAGRAPH Why is Thomas Jefferson considered an accomplished man, or a Renaissance man? Fill in the blank with the correct definite article. (You do not have to know the word, but look at the ending) ____ nation. La Le(This is timed please help fast!) Juan owned 400 shares of Circle Corporation stock (adjusted basis of $102,000). He sold 200 shares for $40,800. Twenty days later he purchased 200 shares of the same stock for $30,600. Required:a. What is Juan's realized and recognized loss?b. What is his basis in the newly acquired shares? another way to write 2 5/24 What are the characteristics of a civilization and why can that turn be problematic Which of the following lists of ordered pairs is a function?(-1, 2), (2, 3), (3, 1), (2, 5) (1, 2), (4, 0), (3, 5), (4, 3) (2, 5), (3, 6), (6, 9) (2, 5), (3, 6), (2, 1) what most contributed to the strength of ancient Chinese dynasties? Estimate the 14.6. Round to the nearest tenth. Please help me i dont understand this Adams weight to the nearest kilogram is 65 kg what is the greatest possible value of his weight Radio blackouts are among the most common space weather events to affect Earth. Minor radio blackouts occur, on average, twice per year. Use a Poisson process to model the phenomenon. (a) Given that 3 events have occurred in the first half of the year, what is that probability that 3 events will happen in the rest of the year? (b) How many radio blackouts do you expect to see in two years? (c) Starting from now, how long must we wait so that the probability of seeing the next radio blackout is at least 0.5? (d) Find the probability that the time to the 4th blackout is at most 2 years. Use the following federal tax table for biweekly gross earnings of a single person to help answer the question below.A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.Molly has biweekly gross earnings of $839.52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim?a.1b.2c.3d.4Please select the best answer from the choices providedABCD Explain the difference between the unadjusted and the adjusted trial balance. Multiple choice question. The adjusted trial balance is prepared after adjusting entries have been recorded and posted. The unadjusted trial balance is more up to date than the adjusted trial balance. The unadjusted trial balance is more accurate and should be used to prepare financial statements. The adjusted trial balance contains only the accounts which were adjusted. The unadjusted trial balance contains all of the remaining accounts. 10 Given a || b. Find the value of z that makes ; || k.Turned in+27)id document(4:+3y)Nsubmit57**/y+ :)z=228z=11.252 = 17.252= 48