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uranmaximum [27]
3 years ago
8

Freya is training for a track race. She starts by sprinting 200 yards. She gradually increases her distance, adding 5 yards a da

y for 21 days which explicit formula models this situation
Mathematics
2 answers:
KiRa [710]3 years ago
8 0

Answer:

The explicit formula is:

a_n = 200 +5(n-1)

Step-by-step explanation:

Freya increases 5 yards daily to the number of yards she runs.

Note that the increase factor is constant, so this problem can be modeled using an arithmetic sequence.

The explicit formula for an arithmetic sequence is:

a_n = n_1 + d(n-1)

Where:

a_n is the number of yards that Freya runs on the day

a_1 is the number of yards that he runs on day 1

d is the increase factor. d = 5 yards

n is the number of days

Then as a_1 = 200 and d = 5, the explicit formula is:

a_n = 200 +5(n-1)

olga55 [171]3 years ago
6 0

Answer:

a_n = 200 (n-1)5

Step-by-step explanation:

just to simplify from those over achievers who confuse the living  h e l l out of everyone

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22% of all resumes received by a corporation for a management position are from females. 18 resumes will be received tomorrow.
Vladimir79 [104]

Answer:

5.80% probability that exactly 1 resume will be from females.

Step-by-step explanation:

For each resume received by the corporation, there are only two possible outcomes. Either they are from a female, or they are not. The probability of a resume received being from a female is independent from other resumes. So we use the binomial probability distribution to solve this question.

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.

22% of all resumes received by a corporation for a management position are from females.

This means that p = 0.22

18 resumes will be received tomorrow.

This means that n = 18

What is the probability that exactly 1 resume will be from females?

This is P(X = 1).

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

P(X = 1) = C_{18,1}.(0.22)^{1}.(0.78)^{17} = 0.0580

5.80% probability that exactly 1 resume will be from females.

3 0
3 years ago
How many factors does the following term have -9xyz
madreJ [45]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve each equation.<br> 7) 18 =-2+a<br> 8) -7= m - 12<br> 9) -8(7 + 7n)=-336<br> 10) -140=-7(-4+36)
lesya692 [45]

Answer:

7) a= 20

8) m= 5

9)n = 5

10) b = 8

Step-by-step explanation:

7) 18+2=-2+2+a

>> 20 = a >> a = 20

18 + 2 = 20 so that isolates the variable leaving a = 20

8) -7+12 = m -12+12

>>> 5 = m >> m = 5

-7 + 12 = 5 so that again isolates the variable leaving m = 5

9) <u>-8(7</u> + <u>7n</u>) = -336

>> -56+56 + -56n = -336+56

>>> -56n/-56 = -280/-56

>>>> n = 5

use distributive property, cancel out necessary numbers, isolate the variable. leaving n = 5.

10) -140 = <u>-7(-4 </u>+ <u>3b)</u>

>>  -140 = 28 - 21b >> -140-28 = -21b +28-28 ( flipped the numbers)

>>>  -168/-21 = -21b /-21

>>>> 8 = b >> b =8

Hope it helps!

5 0
3 years ago
Circle K has a diameter of 24 inches. Find the exact length of semicircle HJI. In your final answer, include all of your calcula
Svet_ta [14]
A semicircle's perimeter is half the perimeter of the complete circle.

The perimeter of the complete circle is its circumference which is found by the equation: πD.

Then the equation of the perimeter of the semicircle is πD/2

In this case D = 24 in, then the perimeteir is π (24in/2) = 12π in ≈ 37.7 in

Answer: The exact length is 12π inches and the approximate length is 37.7 inches


4 0
3 years ago
Read 2 more answers
Is the Answer equal to ?
STatiana [176]
I believe so ,,,,,,,,,,,,,,,,,,,,
8 0
3 years ago
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