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makvit [3.9K]
3 years ago
10

Virginia bought 18 packs of envelopes for $2 each and 15 packs of thank you cards for $4 each . if she gives the cashier $100, h

ow much change should she receive?
Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
She would get 4 dollars back because 15 times 4 is 60 and 18 tomes 2 is 36 add them and you get 96 subtract 96 from 100 and 4
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100m world record was completed at an average speed of 37.6 km/h. work out this speed in meters per second?
pickupchik [31]

Step-by-step explanation:

1 km = 1000 m

1 hour = 3600 s

so,

37.6 km = 37,600 m (still per hour or per 3600 s).

in 1 second now that is

37600/3600 = 10.44444444... m/s

4 0
2 years ago
Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.
statuscvo [17]

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

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.

Suppose a basketball player has made 231 out of 361 free throws.

This means that p = \frac{231}{361} = 0.6399

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

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

P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

E = -31*0.4095 + 21*0.5905 = -0.29

The expected value of the proposition is of -0.29.

3 0
3 years ago
Choose the equation of the horizontel line that passes through the point (-2,-1)
vitfil [10]

Answer:

y = -1

Step-by-step explanation:

A horizontal line is of the form

y =

The y coordinate of the point (-2,-1) is -1

The equation is y = -1

8 0
2 years ago
What is 1/4 as a multiplication sentence
Phoenix [80]
1/4 is the same as 1 * 0.25
3 0
3 years ago
Read 2 more answers
What kind of triangle does it form?
Gwar [14]

Answer:

It forms a scalene triangle

Step-by-step explanation:

This is because scalene triangle does not have any of its sides equal.

\sqrt{111} is also 10.54.And looking at the measurements none of it are equal to each other so therefore it is a scalene triangle

7 0
3 years ago
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