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ser-zykov [4K]
3 years ago
9

Hunter used the number sentence 5,329.07 – 4,015.69 = to solve this story problem. A baby blue whale at the aquarium weighs 5,32

9.07 pounds. A baby humpback whale weighs 4,015.60 pounds. How much lighter is the baby humpback whale than the baby blue whale? Which story problem could also be solved by using the number sentence 5,329.07 – 4,015.69 = ? A. A rancher bought some cattle for $5,329.07. Then she purchased 3 horses for a total of $4,015,69. How much did the rancher spend on all the animals? B. A flatbed truck carried 5,329.07 pounds of hay. The ranch hands unloaded 4,015.69 pounds of hay from the truck. How much hay was left on the truck? C. A rancher paid his ranch hands a total of $5,329.07 for the first week. He paid them $4,015.69 the next week. How much money did the rancher pay his ranch hands in the 2 weeks? D. There is 5,320.07 feet of fence bordering the north part of a ranch. There is 4,015.69 feet of fence bordering the southern part. How many feet of fence borders the ranch altogether? (ANSWER FAST)
Mathematics
1 answer:
castortr0y [4]3 years ago
4 0
B would be your best answer
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work for a publishing company. The company wants to send two employees to a statistics conference. To be​ fair, the company deci
NISA [10]

Answer:

Step-by-step explanation:

Here is the complete question.

Dominique, Marco, Roberto , and John work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names drawn from a hat. This is like obtaining a simple random sample of size 2. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Dominique and Marco attend the conference? (c) What is the probability that John attends the conference?  ​(d) What is the probability that John stays​ home?

Since there are four employees to select the two to send from. then for us to get the sample space for the experiment we need to merge all possible two employees and represent them as set.

Let D = Dominique, M = Marco, R = Roberto and J = John

a) The sample space for the experiment is the total number of possible outcomes that we can have. It is as given below

S = 4C2 = 4!/(4-2)!2! (Selecting 2 out of 4 employees)

Total sample space = 4!/2!2!

Total sample space = 4*3*2!/2!2

Total sample space = 12/2 = 6

The sample space are S = {DM, DR, DJ, MR, MJ, RJ}

b) Probability is the ratio of number of event to the sample space.

P = n(E)/n(S)

Given n(S) = 6

n(E) is the event of Dominique and Marco attending the conference.

E = {DM}

n(E) = 1

P(D and M) = 1/6

Hence  the probability that Dominique and Marco attend the conference is 1/6

c) For John to attend the conference, the event outcome will be given as;

E = {DJ, MJ, RJ}

n(E) = 3

n(S) = 6

Probability for John to attend the conference is 3/6 = 1/2

d) Probability that John stays at home = 1 - Prob (John attends the conference)

Probability that John stays at home = 1 - 1/2

Probability that John stays at home = 1/2

7 0
3 years ago
When Mischa filled her car's gas tank before beginning a trip, the car's odometer read 44,587 miles. When she stopped for gas ne
pantera1 [17]

Answer:

18.11 miles per gallon

Step-by-step explanation:

Get the miles traveled from the trip odometer, or subtract the original odometer reading from the new one.

Divide the miles traveled by the amount of gallons it took to refill the tank. The result will be your car’s average miles per gallon yield for that driving period.

44,895-44,587 = 308 miles

308/17 = 18.11

6 0
3 years ago
If f and g are functions of time, and at time t = 2, f equals 5 and is rising at a rate of 6 units per second, and g equals 7 an
Yuliya22 [10]

Answer:

f/g at t =3 will be 9/8

d/ddx(f(x)/g(x))=f'(x)d(x)-f(x)g'(x)/(g'(x))^2

rate of change=(6*8)+(9*9)/9^2

rate of change =43/27=1.5925

8 0
3 years ago
Read 2 more answers
What is the slope of the line shown in the graph?
Katarina [22]

Answer:

I'm pretty sure it's -3/2

6 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (-2, 1) and (-8, 4)?
goldenfox [79]
<h2>Answer:   y =  - ¹/₂ x    OR  y - 1 = - ¹/₂ (x + 2)   </h2>

<h3>Step-by-step explanation:  </h3>

        For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points, (-2, 1) and (-8, 4), from which we can find the slope and later the equation of the line.

<u>Finding the Slope  </u>

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)    

                                         =  (4 - 1) ÷ (-8 - (-2))  

                                         =   - ¹/₂  

<u>Finding the Equation</u>  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                 ⇒  y - 1 =   - ¹/₂ (x - (-2))

                                  ∴  y - 1 = - ¹/₂ (x + 2)

  we could also transform this into the slope-intercept form ( y = mx + c)  

                                   since  y - 1 = - ¹/₂ (x + 2)

                                           ⇒     y =  - ¹/₂ x  

       

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

7 0
2 years ago
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