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Allisa [31]
3 years ago
8

keely and Grayson played a board game. keely scored 128 points, which was 4 times as many points as Grayson scored

Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

Answer:

32

Step-by-step explanation:

if we divide the amount of points scored by keely by 4 it will give us 32

hope this helps :)

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Psychologist Michael Cunningham conducted a survey of university women to see whether, upon graduation, they would prefer to mar
bagirrra123 [75]

Answer:

A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\

A. P(x=6)

P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.00024*0.00423=0.183\\\\\\

B. P(x≥10)

P(x\geq10)=1-P(x

P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0.0008=0.0008\\\\\\P(x=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.25*0.001=0.0063\\\\\\P(x=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.0625*0.0013=0.0251\\\\\\P(x=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.0156*0.0018=0.0641\\\\\\P(x=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.0039*0.0024=0.1175\\\\\\P(x=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.001*0.0032=0.1645\\\\\\P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.0002*0.0042=0.1828\\\\\\

P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\

P(x\geq10)=1-(0.0008+0.0063+0.0251+0.0641+0.1175+0.1645+0.1828+0.1654+0.1241+0.0781)\\\\P(x\geq10)=1-0.9287=0.0713

C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

E(x)=\mu=n\cdot p=25\cdot 0.25=6.25\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot 0.25\cdot 0.75}=\sqrt{4.69}\approx2.17

4 0
2 years ago
Simplify √5(8+3√6) using radicals
hichkok12 [17]
Your answer should be 34
3 0
3 years ago
Does anyone know about this question I give brainless If you answer this correctly
xxTIMURxx [149]

Answer:

Side x = 2.12132 = 3√2/2

Step-by-step explanation:

I used a triangle calculator to find side x

4 0
3 years ago
Jeff works in the Klein Forest cafeteria. When A-lunch begins, he has already prepared 50lunches. He will prepare 10 lunches per
olga_2 [115]

The function is L = 10m + 50

Here, we want to find out which of the functions is required to determine the number of lunches L prepared after m minutes

In the question, we already had 50 lunches prepared

We also know that he prepares 10 lunches in one minute

So after A-lunch begins, the number of lunches prepared will be 10 * m = 10m

Adding this to the 50 on ground, then we have the total L lunches

Mathematically, that would be;

L = 10m + 50

8 0
1 year ago
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.85 before the discount, and
erik [133]

Answer:

$80.22

Step-by-step explanation:

4 0
2 years ago
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