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vitfil [10]
3 years ago
13

In a​ state's pick 3 lottery​ game, you pay ​$1.33 to select a sequence of three digits​ (from 0 to​ 9), such as 288. if you sel

ect the same sequence of three digits that are​ drawn, you win and collect ​$384.13.
Mathematics
1 answer:
slega [8]3 years ago
8 0

A. How many different selections are possible?

B. What is the probability of winning?

C. If you win, what is your net profit?

D. Find the expected value

Answer :

A. sequence of three digits​ (from 0 to​ 9). so 10 numbers.

We know 3 lottery games. So possible selections = 10^3 = 1000

B. Probability of winning = one outcome / total outcomes

P( winning) = \frac{1}{1000} = 0.001

c. Net profit = winning amount - paid amount

= 384.13 - 1.33 = $382.8

D. expected value

E(x) = net profit * winning probability - paid amount * lost probability

E(x) = 382.8 * 0.001 - 1.33 * 0.999 = -0.95

you expect to lose 95 cents per ticket.

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Robin baked 702 cookies.He sold them in boxes of 18. After selling all of the boxes of cookies for the same amount each, he earn
loris [4]

Answer:

cost of a box is $3.5

Step-by-step explanation:

given data

sold box = 18

earned = $136.50

solution

we consider here number of boxes of cookies is x

and

for we get Tyler sold  cookies box so number of boxes we divide 702 cookies among 18 is

Tyler sold  = \frac{702}{18}

Tyler sold  = 39 boxes

and

now we consider here y as cost of each box of cookies,

so for cost or sale price of the cookie boxes here we divided 136.50 dollars among 39 boxes

so

cost of each box = \frac{136.5}{39}

cost of each box = 3.5

Thus, the cost of each box was 3.5

3 0
3 years ago
The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be
densk [106]

Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97.  But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,

μ = 97

Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions.  This means the standard deviation of the average x is

σ = 17/√n

We want to be 95% certain

97 - 5 ≤ x ≤ 97 + 5

By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that

μ - 2σ ≤ x ≤ μ + 2σ

Comparing to what we want, that's means we have to solve

2σ = 5

2 (17/√n) = 5

√n = 2 (17/5)

n = (34/5)² = 46.24

We better round up.

Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean

6 0
3 years ago
What is the LCD of 5/6 and 7/8
Marizza181 [45]
The LCD is 24 since 24 is the lowest number that is shared when you count by 6's and when you count by 8's
8 0
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The first two angles in a triangle are 100 degrees and 50 degrees. What does the third angle have to be?
mamaluj [8]
The answer is C: 30 degrees
7 0
3 years ago
What is3(4+4x)=12x+12
Yakvenalex [24]
Solve for x.

First multiply everything in the parenthesis by 3.

12 + 12x = 12 + 12x

There is an infinite amount of solutions.

Hope this helps!
3 0
3 years ago
Read 2 more answers
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