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iren2701 [21]
3 years ago
12

At a university, 60​% of the students who apply. Of the students the university​ accepts, 25% actually enroll If 2000 students​

apply, how many actually​ enroll?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

Answer:

300 students are enrolled.

Step-by-step explanation:

As the university accepts 60% of the students who apply.

As 2000 students apply, it means that:

2000 × 60% ⇒ 2000 × 0.6 = 1200 students are accepted

Out of these 1200, 25% enrolled

1200 × 25% ⇒ 1200 × 0.25 = 300 students are enrolled

Therefore, 300 students are enrolled.

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Consider a sequence given by the formula f(n)=3n-1 starting with n=1. Generate the first 5 terms of the sequence
Rufina [12.5K]

Answer:

The first 5 terms are 2, 5, 8, 11, 14.

Step-by-step explanation:

  1. You use the formula to find out each term.
  2. f(n)=3n-1 starting with n=1. If n=1 that is the 1st term, if n=2 that is the 2nd term, and so on. n means what number term it is.
  3. Now to find each term:
  • n=1: f(1)= 3(1)-1= 3-1= 2 The 1st term is 2
  • n=2: f(2)= 3(2)-1= 6-1= 5 The 2nd term is 5
  • n=3: f(3)= 3(3)-1= 9-1=8 The 3rd term is 8
  • n=4: f(4)= 4(3)-1= 12-1= 11 The 4th term is 11
  • n=5: f(5)= 5(3)-1= 15-1= 14 The 5th term is 14

So the first 5 terms are 2,5,8,11,14

5 0
3 years ago
HELP!!! I NEED A ANSWER ASAP
hichkok12 [17]

Answer:

Hundred Digit = 7

Ten Digit = 7

Unit Digit = 3

Number = 773

7 0
3 years ago
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You and your friend play a video game. You have a final score of 40 points, and your friend has a final score of -21 points. by
Serhud [2]

Answer:40+(-21)= 19

Step-by-step explanation:

5 0
3 years ago
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The slope of the line below is -5. Which of the following is the point slope form of the line (2,-7)
Dominik [7]

Equation of the line in point slope form is y + 7 = -5(x - 2)

Step-by-step explanation:

  • Step 1: Given slope of the line is -5 and passes through the point (x1, y1) = (2,-7). Equation in point slope form is y - y1 = m(x - x1)

⇒ y - (-7) = -5(x - 2)

⇒ y + 7 = -5(x - 2)

7 0
3 years ago
Which of the following probabilities is equal to approximately 0. 2957? Use the portion of the standard normal table below to he
Travka [436]

Probability of an event is the measure of its chance of occurrence. The event out of the listed events whose probability is 0.2957 is given by : Option C: P(0.25 \leq Z \leq 1.25)

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.

If we have

X \sim N(\mu, \sigma)

(X is following normal distribution with mean \mu and standard deviation \sigma )

then it can be converted to standard normal distribution as

Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

P(Z \leq z) = P(Z < z) )

Also, know that if we look for Z = z in z tables, the p-value we get is

P(Z \leq z) = \rm p \: value

Using the z-table, we get the needed probabilities as:

Case 1:

P(-1.25 \leq Z \leq 0.25) = P(Z \leq 0.25) - P(Z \leq -1.25) \approx 0.5987 - 0.1056 = 0.4931

Case 2:

P(-1.25 \leq Z \leq 0.75) = P(Z \leq 0.75) - P(Z \leq -1.25) \approx 0.7734- 0.1056=0.6678

Case 3:

P(0.25 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.25) \approx 0.8944 - 0.5987=0.2957

Case 4:

P(0.75 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.75) \approx 0.8944 - 0.7734 =0.1210

Thus, the event out of the listed events whose probability is 0.2957 is given by : Option C: P(0.25 \leq Z \leq 1.25)

Learn more about z-scores here:

brainly.com/question/13299273

5 0
2 years ago
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