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Ivahew [28]
2 years ago
9

Jonathan is rolling to dice and needs to roll and 11 to win the game he is playing what is the probability that Jonathan wins th

e game
Mathematics
1 answer:
hjlf2 years ago
5 0

Answer:

1 / 18

Step-by-step explanation:

In a roll of two dice :

Number of faces on a dice = 6

Total sample space for 2 6-sided dice = (number of faces)^Number of dice = 6^2 = 36

Total possible outcomes = 36

Required outcome = sum of 11

11 = {(5,6) ; (6, 5)}) = 2 possibilities

Probability = required outcome / Total possible outcomes

P(obtaining a sum of 11) = 2 / 36 = 1/18

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Evaluate the expression<br><br> x^2 (y - 2)<br> —————, if x=3, and y= -1<br> 3y
vitfil [10]

Answer:

\huge\boxed{\sf 9}

Step-by-step explanation:

\displaystyle = \frac{x^2(y-2)}{3y} \\\\Put \ x = 3, \ y = -1\\\\= \frac{(3)^2(-1-2)}{3(-1)}\\\\= \frac{9(-3)}{-3} \\\\= 9 \\\\ \rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3><h3>Peace!</h3>
4 0
2 years ago
Read 2 more answers
What is 4,328.12 in expanded form?
shepuryov [24]
Hope this helps

Answer = 4,328.12
4,000
300
20
8
0.1
0.02
4 0
3 years ago
Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​,and a standard deviation given by
Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with  

\mu = 62.5 in

\sigma = 2.2 in

the normal probability density function is given by  

f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}, then

(a) P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx = 0.5899

   (in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking P(\bar{X} < 63) where n = 37. \bar{X} is normally distributed with mean 62.5 in and standard deviation 2.2/\sqrt{37}. So, the probability density function is given by

g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}, and

P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0
3 years ago
Write the equation of the line that contains the points (4, −7) and (1, 5). The slope of the line that contains the points (4, −
deff fn [24]
Slope = (5+7)/(1-4) = 12/-3 = -4

slope = -4

y = mx + b
-7 = -4(4) + b
-7 = -16 + b
b = 9

equation
y = -4x + 9
4 0
3 years ago
Read 2 more answers
Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would a
aivan3 [116]

Complete question is;

Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would allow Maya to earn the most money in a month?

Plan, Monthly base salary, Commission rate

A, $500, 8%

B, $600, 7%

C, $700, 6%

D, $800, 5%

Options:

A. plan A

B. plan B

C. plan C

D. plan D

Answer:

Option D - Plan D

Step-by-step explanation:

For plan A, at 8% commission rate,her monthly pay would be, 500 + 8%*5,000 = $900

For plan B, at 7% commission rate, her monthly pay would be; 600 + 7%*5,000 = $950

For plan C, at 6% commission rate, her monthly pay would be;700 + 6%*5,000 = $1000

For plan D, at 5% monthly commission rate, her monthly pay = 800 + 5%*5,000 = $1050

So the plan that allows maya earn the most is the highest which is plan D

7 0
3 years ago
Read 2 more answers
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