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GarryVolchara [31]
3 years ago
5

There are blue, red and yellow marbles in a bag. The probability of choosing a blue marble is 1/8, and the probability of choosi

ng a red marble is 1/2. What is the probability of choosing a yellow marble?
Mathematics
1 answer:
Ilya [14]3 years ago
3 0

Answer:

3/8

Step-by-step explanation:

So what I did is make 1/2 have a common denominator with 1/8. The common denominator would be 4/8. Then i added 1/8 and 4/8 and got 5/8. Then I subtracted 5/8 and 8/8 because 8/8 would be the 100% chance. Then I got 3/8. So I would then think the chance of getting a yellow marble would be 3/8 chance. I hope I helped :)

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In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,
kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

P(X)=^nC_x\ p^x(1-p)^{n-x}, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0
3 years ago
Solve the following systems of 3-variable linear equations.​
Dima020 [189]

Answer:

.

Step-by-step explanation:

3 0
3 years ago
The Graph of a function g is shown below. Find the following: g(10)
Yanka [14]

Answer: the graph is not shown, but I'll try to explain how hypothetically, you would be able to graph g(10). If you are given something like an image of the graph, find slope and y-intercept first. The y-intercept is the point (0, #), and is on the y-axis. After finding what g(x) = mx + b <- slope intercept form is, substitute 10 for x, then solve.

Step-by-step explanation:

3 0
3 years ago
At a candy store you can pay $16.10 for 7 giant lollipop what would be the cost for 6 lollipops?
Alex Ar [27]

Answer: $13.80 for 6 giant lollipops

Step-by-step explanation: To find the cost of 6 giant lollipops at the candy store, we first need to find the unit price for a giant lollipop.

Unit price means the cost per unit,

in this case, the cost per giant lollipop.

Since we know that it costs $16.10 for 7 giant lollipops, to find the cost

for 1 giant lollipop, we need to 16.10 by 7.

16.10 divided by 7 is 2.3.

This means that each lollipop is $2.30.

Now to find the cost for 6, we multiply

the cost per 1 lollipop by 6.

So we have 2.30 × 6 which is $13.80.

So the cost for 6 lollipops at the candy store is $13.80.

8 0
3 years ago
If the Laffite family deposits $8500 in savings account at 6.75% interest, compounded continuously, how much will be in the acco
vitfil [10]

Answer:

Option b

Step-by-step explanation:

We have a compound interest problem. With an annual interest rate of 0.675 and an initial payment of 8500, with t = 25 years

Then you must use the annual compound interest formula, which is represented by a growing exponential function:

y = e ^{ht}

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h is the interest rate of 0.675

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Then substitute the values in the formula and we have:

y = e ^{0.675(25)}

y = 45,950.57

4 0
3 years ago
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