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4 years ago

15

Corey added stickers to his party invitations. He put the same number of stickers on 7 invitations. Which expression shows the n

umber of stickers Corey put on each invitation? Let the variable s stand for the number of stickers Corey started with.

1 answer:

morpeh [17]4 years ago

8 0

S÷7 is an expression that shows the number of stickers Corey put on each invitation.

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Police estimate that 25% of drivers drive without their seat belts. If they stop 6 drivers at random, find the probability tha

Furkat [3]

Answer:

17.80% probability that all of them are wearing their seat belts.

Step-by-step explanation:

For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Police estimate that 25% of drivers drive without their seat belts.

This means that 75% wear their seatbelts, so $p = 0.75$

If they stop 6 drivers at random, find the probability that all of them are wearing their seat belts.

This is $P(X = 6)$ .

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.1780$

17.80% probability that all of them are wearing their seat belts.

3 0

3 years ago

Read 2 more answers

6K2 - 10k + 50<br> How to factor

baherus [9]

Answer:

there are no real solutions

Step-by-step explanation:

The discriminant is (-10)² - 4*6*50 is below zero, hence there are no solutions.

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3 years ago

Y varies directly with x and y = 12 when x =5 what is the value of y when x = 8

torisob [31]

Y and x are directly proportional, as stated by hypothesis. Let's use the rule of three to find y when x = 8.

x=5 --> y=12
x=8 --> y=?

? = (8*12)/5 = 96/5 = 19.2

So y directly varies with x, and y=12 when x = 5, then y=19.2 when x=8.

Hope this Helps! :D

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4 years ago

Marilyn purchased 3,000 shares of stock for 36.48 per share. She sold them for 49.20 per share . Express her capital gain to the

katen-ka-za [31]

3000 * $36.48 = $109,440 Cost of the Stock
3000 * $49.20 = $147,600 Current Stock price when sold - Cost of the Stick when bought.
Capital Gain $38,160

4 0

3 years ago

The data set below provides the monthly rent (in dollars) paid by 5 tenants. 879 , 920 , 940 , 950 , 990 Suppose the rent for on

MrRa [10]

Answer:

Mean before the rent changes = $935.8

Mean after the rent changes = $970.8

Step-by-step explanation:

Mean = sum of all data values / number of data values in a given data set

✔️Data set consisting of the rents of 5 tenants: 879 , 920 , 940 , 950 , 990

Mean before the rent changes = (879 + 920 + 940 + 950 + 990)/5 = 4,679/5 = 935.8

Mean before the rent changes = $935.8

✔️If one of the tenants rent changes from $940 to $1,115, the new data set would be:

879 , 920 , 1,115 , 950 , 990

Mean after the rent changes = (879 + 920 + 1,115 + 950 + 990)/5 = 4,854/5 = 970.8

Mean after the rent changes = $970.8

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3 years ago