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Arada [10]
3 years ago
15

What is the probability of flipping a coin 8 times and getting heads 2 times? Round your answer to the nearest tenth of a percen

t.
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0

Step-by-step explanation:

This problem is related to binomial probability

Probability of getting head (success)p= 1/2

Probability of getting tail (failure )q=1/2

Total number of trials(n) = 8

number of success (r)= 3

Binomial probability P(r=3)

nCr(p)^{n-r}q^r

Plug in the values in the formula

nCr(p)^{n-r}q^r\\8C3(\frac{1}{2} )^{8-3}\frac{1}{2} ^3\\ \frac{8!}{3!(8-3)!} (\frac{1}{2} )^8\\56 \cdot (\frac{1}{256} )\\0.21875

To convert it into percentage , multiply by 100

0.21875 times 100= 21.9

Answer :

21.9%

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A large set of data was collected and analyzed for the majors of college seniors in the U.S. From the scatter plots produced the
HACTEHA [7]

Using linear function concepts, it is found that the true statements are as follows:

  • The number of biology degrees increases by about 2.414 each year after 2000.
  • About 73.000 students graduated with degrees in psychology in 2000.
  • In 2000, more students graduated with psychology degrees than biology degrees​.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem, for psychology, the model for the number of graduated students in t years after 2000 is:

P(t) = 2,376t + 73,219.

For biology, it is given by:

B(t) = 2,414t + 56, 545

Hence, the correct statements are:

  • The number of biology degrees increases by about 2.414 each year after 2000.
  • About 73.000 students graduated with degrees in psychology in 2000.
  • In 2000, more students graduated with psychology degrees than biology degrees​.

More can be learned about linear function concepts at brainly.com/question/24808124

3 0
2 years ago
What two numbers have the product of -135 and the sum of 6?
Andrews [41]
Step 1: Find factors of 135 

1 and 135
3 and 45
5 and 27
9 and 15

Remember the rules for multiplication involving negatives:

Multiplying a negative with a negative will always be positive.
Multiplying a negative with a positive will always be negative. 

So in order for the product to be -135, one number of each factor pair will need to be negative. 

Step 2: Figure out which factor pair will add together to get the sum of 6
(Remember at least one from each pair will be negative)

Part A: 
1 + (-135) = -134
3 + (-45) = -42
5 + (-27) = -22
9 + (-15) = -6

Part B:
135 + (-1) = 134
45 + (-3) = 42
27 + (-5) = 22
15 + (-9) = 6

(Knowing that the sum of adding a larger negative number to a smaller positive number will be negative, will make this a bit faster because you would just skip to Part B) 

The sum of 15 and -9 is 6. So there is the answer.

You can also check it, just to make sure it's the correct answer.

15 × (-9) = -135
15 + (-9) = 6
4 0
3 years ago
What percent of the first 20 natural numbers are one-digit numbers?
vekshin1
It depends on how you define natural numbers. There are two possible definitions.

1. All non-negative integers.
   one-digit natural numbers: 0 - 9 for a total of 10
   first 20 natural numbers: 0  - 19 for a total of 20
   10/20 = 50%

2. All positive integers.
   one-digit natural numbers: 1 - 9 for a total of 9
   first 20 natural numbers: 1 - 20 for a total of 20
   9/20 = 45%
3 0
3 years ago
Read 2 more answers
Round 5 358 708 to the nearest million​
bulgar [2K]

Answer:5 million

Step-by-step explanation: Because 300 thousand is below 500 thousand so if its below 500 thousand it cant round up it rounds down.

4 0
2 years ago
For 12-15, find the missing measures
Bess [88]
12.

7, 14, 14pi, 7^2pi

13.

13, 26, 26pi, 13^2pi

14.

9, 18, 18pi, 9^2pi


15.

10, 20, 20pi, 10^2pi
4 0
3 years ago
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