According to the High School Athletics Participation Survey, 55% of students enrolled in high school participate in athletic programs. Suppose 12 high school students are randomly selected and the number who participate in athletic programs is recorded. Round probabilities to 4 decimal places. 6.Explain why this is a binomial experiment

Answer:

10 minutes maximum

Step-by-step explanation:

well, based on the condition/fact that the bus takes and average of 10 minutes to arrive at a bus stop, you can assume that the previous bus just left(that is worst case scenario), so might have to weight for 1o minutes to get a bus.

Hence for the worst case it is expected that you would have to wait for 10 minutes maximum for the next bus to arrive, or you might even wait for a shorter time.

Answer:

b) 3 hours

Step-by-step explanation:

Given;

speed of Willie , s = 40 km/h

speed of Gabriella, s = 70 km/h

when they are 410 km apart:

Willie's time = t

Gabriella's time = t- 2

2 hours later, the position of Willie = 40t

2 hours later, the position of Gabriella  = -70 (t-2) (since he is traveling in opposite direction)

the difference in their positions = 410 km

40t - {-70 (t-2)} = 410

40t -{-70t + 140} = 410

40t + 70t - 140 = 410

110t = 410 + 140

110t = 550

t = 550 / 110

t = 5 hours

Gabriella's time = t- 2

Gabriella's time = 5 - 2 = 3 hours

Thus, Gabriella needs to travel 3 hours before they are 410 km apart.

Answer:

Gary did not use the greatest common factor in the expression.

Step-by-step explanation:

Both factors of 36 and 66 are correct.

Gary also used equivalent expressions. I hope this helps.

Answer: Gary did not use the greatest common factor in the equation.

Step-by-step explanation: Gary did not use the Greatest common factor because the greatest common factor would be 33

Answer:

At least 89% of the data

Minimum = 96.34 F

Maximum=  100.06 F

Step-by-step explanation:

According to the  Chebyshev's theorem 89% of the data are within the 3 standard deviations of the mean.

The mean body temperature is 98.20 F  and standard deviation is 0.62 F

Mean- 3SD= 98.20 F- 3(0.62)=  98.20 F- 1.86= 96.34 F

Mean + 3SD= 98.20 F + 3(0.62)=  98.20 F+ 1.86= 100.06 F

Answer:

20th person

Step-by-step explanation:

Before proceeding into problem,assume that you don't know anyone else's birthday, and that birthdays are uniformly distributed throughout a 365 day year.

The probability, p(n), of winning a prize when you are the nth person is line is:

(probability that none of the first n−1 people share a birthday)*( probability that you share a birthday with one of the first n−1 people)

So,The first person can't have the same birthday as anyone less by themselves, so lets look at the second person. At the point where we add the second person there is a 364/365 chance of them not sharing a birthday with the previous person. When we add the 3rd person there is there is a 363/365 chance of them not sharing a birthday and so on such that the (n-1)th person when added has a probability of not forming a share of (365 -n -2)/365. We can multiply these together to get the probability that none of first (n-1) people share their birthday.

Therefore the position in line that has highest chance of winning is 20th.

We want to see which position has the largest probability of winning the prize. We will find that the 18th person has the largest probability of winning.

We know that a person only will win the prize if that person has the same birthday that some in front of him/her.

So, the probability that the n-th person wins the prize is given by:

(probability that none of the persons in front share a birthday)*(probability of sharing a birthday with some of the n - 1 people in front).

Let's find the first one.

The first person can have a birthday in any of the 365 days.

The second person must not have the same birthday, so there are 364 options remaining.

The probability of this is just

p₂ = 364/365

For the third person, we have the same thing, this time, 363 remaining options:

p₃ = 363/365

For the (n - 1) person the probability is:

pₙ₋₁ =  (365 - n + 2)/365

And the n-th person must share a birthday with some of the n persons in front of him, so there are (n - 1) options to choose, so the probability is:

pₙ = (n - 1)/365

Then, the joint probability is:

P = p₂*p₃*...*pₙ

[tex]P = \frac{364*363*...*(365 - n + 2)*(n - 1)}{365^{n-1}}[/tex]

Now we have the equation, we just need to solve it for n such that we maximize the value of P in the range n ∈ [1, 50]

This is actually a really hard thing to find, but what you can notice, is that each time that n increases by 1, the denominator increases 365 times.

While the numerator increases by a factor:

(365 - n - 1)*n/(n - 1)

So we need to find the value of n such that the thing above is equal or smaller than 365.

Let's solve:

(365 - n - 1)*n/(n - 1) = 365

(365 - n - 1)*n = 365*n - 365

364*n - n^2 - 365*n + 365 = 0

-n^2 - n + 365 = 0

This is just a quadratic equation, the solutions are:

[tex]n = \frac{1 \pm \sqrt{1 + 4*365} }{-2}[/tex]

We only care for the positive solution, so we take:

[tex]n = \frac{1 - \sqrt{1 + 4*365} }{-2} = 18.6[/tex]

So, for the 19th person, the probability of winning will be smaller than for the 18th person, this happens because the numerator increased by a smaller factor than the denominator.

This means that the 18 person has the largest probability of winning.

If you want to learn more, you can read:

Answer: The best estimation is 4

Step-by-step explanation: I rounded 23.564 to 24 and I rounded 5.97 to 6. I did 24 divided by 6. I got 4.

Answer:

A

Step-by-step explanation:

Answer: Your answer should be, (4)

Answer:

b

Step-by-step explanation:

Answer:

(0, 4)

Step-by-step explanation:

g(x)=-3x+4

y intercept is (0, 4)

Answer:

$70.31

Step-by-step explanation:

Hope this helps

Answer:

$117.19

Step-by-step explanation:

93.75 * .25 =23.4375

23.4375+93.75 = $117.1875

(rounded:$117.19)

Answer: 0.69727

Step-by-step explanation:

Given: Sample size : n= 4

Number of defective calculators = 12

Number of non-defective calculators = 36

Total calculators = 12+36=48

Let X = Number of defective calculators.

The probability that a least one of the calculators is defective will be :

[tex]P(X\geq1)=P(X=1)+P(X=2)+P(X=3)+P(X=4)\\\\=\dfrac{^{12}C_1\times\ ^{36}C_{3}}{^{48}C_4}+\dfrac{^{12}C_2\times\ ^{36}C_{2}}{^{48}C_4}+\dfrac{^{12}C_3\times\ ^{36}C_{1}}{^{48}C_4}+\dfrac{^{12}C_4\times\ ^{36}C_{0}}{^{48}C_4}\\\\=\dfrac{12\times7140}{194580}+\dfrac{66\times\ 630}{194580}+\dfrac{220\times\ 36}{194580}+\dfrac{495\times\ 1}{194580}\approx0.69727[/tex]

Hence, the required probability = 0.69727

Answer:

No, it is not

Step-by-step explanation:

5(4) - 2(1) = 16

20 - 2 = 16

18≠16

Answer:

29/4

Step-by-step explanation:

7 2/8

58/8=29/4

Answer:

29/4

Step-by-step explanation:

multiply 7 and 8 which is 56 then add 2 which will be 58 for the numerator, the denominator stays the same. 58/8 simplify by dividing 58 divided by 2 and 8 divided by 2 which will get u the answer as 29/4

Pls mark as brainliest thank you, have a nice day!!!!

Answer: (Point-Slope) y+6=-1/4(x-2)

Step-by-step explanation:

1. Find slope (y2-y1)/(x2-x1) = -3/12 simplifies to -1/4

2. Point slope form: y-y1=m(x-x1)

Answer:

The equation is y= - 4x+2 .

Answer:

15 miles

Step-by-step explanation:

1/4 = .25

12 ÷ 4 = 3

12 + 3 = 15

Answer:

12 1/4 miles

Step-by-step explanation:

Answer:

B. 11

Step-by-step explanation:

Edge 2021 :)

Answer:

yes

Step-by-step explanation:

Answer:

22:4949

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

q - r

-14 - (-6)

-14+6

-8

Answer:

(3x² + 8y)(3x² - 8y)

Step-by-step explanation:

9x^4 - 64y^2

~Rewrite

(3x²)² - (8y)²

~Apply difference of two squares

(3x² + 8y)(3x² - 8y)

Best of Luck!

Answer:

4x+25

I hope this helped ;)

Answer:اين الجملة؟

Step-by-step explanation:

Answer:

La frecuencia percibida es 337,2 Hz.

Step-by-step explanation:

Dado que tanto el emisor del sonido como el receptor se están acercando, la frecuencia percibida es:

[tex] f' = f*\frac{v + v_{r}}{v - v_{e}} [/tex]   (1)

En donde:

f': es la frecuencia recibida

f: es la frecuencia emitida = 300 Hz

v: es la velocidad del sonido = 343 m/s

[tex]v_{e}[/tex] es la velocidad del emisor = 20 m/s                                              

[tex]v_{r}[/tex] es la velocidad del receptor = 20 m/s

Sustituyendo los valores en la ecuación (1) tenemos:

[tex]f' = f*\frac{v + v_{r}}{v - v_{e}} = 300 Hz*\frac{343 + 20}{343 - 20} = 337,2 Hz[/tex]          

Por lo tanto, la frecuencia percibida es 337,2 Hz.     

Espero que te sea de utilidad!

Answer:

25% of 53 is 13.25 so the new bottle should hold 66.25 ounces or 13.25 mor than the regular bottle

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 20 sixths in 5/12

Factor out 1/n⁴, and distribute the sum over each term:

[tex]\displaystyle\sum_{i=1}^n\frac{2i^3-3i}{n^4}=\frac1{n^4}\sum_{i=1}^n(2i^3-3i)[/tex]

[tex]\displaystyle\sum_{i=1}^n\frac{2i^3-3i}{n^4}=\frac2{n^4}\sum_{i=1}^ni^3-\frac3{n^4}\sum_{i=1}^ni[/tex]

Recall the following formulas:

[tex]\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2[/tex]

[tex]\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4[/tex]

So we have

[tex]\displaystyle\sum_{i=1}^n\frac{2i^3-3i}{n^4}=\frac{n^2(n+1)^2}{2n^4}-\frac{3n(n+1)}{2n^4}=\boxed{\dfrac{(n+1)(n^2+n-3)}{2n^3}}[/tex]