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3 years ago

4. A craft store offered sewing classes on 12 of the 30 days in November.

Mathematics

1 answer:

Shkiper50 [21]3 years ago

5 0

Answer:

A. 0.4

Step-by-step explanation:

Write 12 of 30 as a fraction:

12/30

Convert this to be a fraction over 100 by setting up an equation:

Variable x = proportional answer to 12/30

12/30 = x/100

Cross multiply:

12 × 100 = 30 × x

1200 = 30x

40 = x

40/100

Convert this number into a decimal by adding a zero and decimal point before the "4" in 40:

0.40

Simplify:

0.40 = 0.4

I converted it into a decimal through the use of fractions, but you can also find the answer by doing long division: 12 ÷ 30. However, showing work for long division over a message is too complex so I solved the problem this way instead.

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A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are

Alexeev081 [22]

Answer:

0.3164 = 31.64% probability the team wins all its conference games

Step-by-step explanation:

For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This 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.

A football team has a probability of .75 of winning when playing any of the other four teams in its conference.

The probability means that $p = 0.75$ , and four games means that $n = 4$

If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

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

$P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164$

0.3164 = 31.64% probability the team wins all its conference games

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3 years ago

Whats the distance between (-1,4) and (1,-5)

Bess [88]

Answer:

Step-by-step explanation:

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Your insurance premium is $3400 annually. Your employer pays 80% of the premium. How much will you pay annually?

pochemuha

I think it is 680 if not i am sorry

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How do you write 208,000,478 in expanded form

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200,000,000+8,000,000+400+70+8=208,000,478

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3 years ago

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In general, the y intercept of the function F(x)= a•b^x is the point

serg [7]

The y intercept of this function is always (0, a).

This is because when we place 0 in for x (which is the only way it'll be on the y-axis, we get 'a' as a result. This is because of the rule that raising anything to the 0th power will result in the number 1 and multiplying anything by 1 gives us the same number. See the work below for the example.

F(x) = a*b^x

F(0) = a*b^0

F(0) = a*1

F(0) = a

And for an example with a random number, we'll use a = 5 and b = 3

F(x) = 5*3^x

F(0) = 5*3^0

F(0) = 5*1

F(0) = 5

No matter what a and b equal, the intercept will be the a value.

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3 years ago