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3 years ago

Solving systems of equations with substitution y=4x-3, 4x+5y=9

Mathematics

1 answer:

never [62]3 years ago

4 0

Answer:

y=1, x=1

Step-by-step explanation:

you put the y variable in the equation 4x-5y=9

and you get that y=1

then you add the y=1 in the forst equatiom amd you get that x=1 as well

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What is the percent of decrease from 100 to 49? Write your answer using a percent sign (%).

slavikrds [6]

Answer:

Step-by-step explanation:

Decrease = 100 - 49 = 51

Percentage of decrease =

$=\frac{51}{100}*100$

= 51%

6 0

3 years ago

Kenny has a 1/3 probability of getting a hit and a 1/6 probability of drawing a base-on-balls every time he appears at the plate

Aleonysh [2.5K]

Answer:

He expects that his bonus will be $210,000.

Step-by-step explanation:

For each plate appearence, there are only two possible outcomes. Either he gets on base(base hit or bases-on-balls), or he does not. The probability of getting on base on each plate appearence is independent of other plate appearences. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

600 plate appearances this year

So n = 600.

Expected number of hits

$p = \frac{1}{3}$

$E(X) = np = 600\frac{1}{3} = 200$

Expected number of base on balls.

$p = \frac{1}{6}$

$E(X) = np = 600\frac{1}{6} = 100$

Bonus

$1,000 for each hit and $100 for each base-on-balls he gets.

200*1,000 + 100*100 = 210,000

He expects that his bonus will be $210,000.

3 0

3 years ago

Find the measure of the missing angel

labwork [276]

Answer:

58 degrees

Step-by-step explanation:

4 0

3 years ago

What is the length of the base of a yield sign that has a height of 14 inches and has an area of 84 square inches? Write the num

Rufina [12.5K]

That's simple, it is 6. Hope this helps.

4 0

3 years ago

Read 2 more answers

At Andrew Jackson High School, students are only allowed to enroll in AP U.S. History if they have already taken AP World Histor

o-na [289]

Answer:

About 0.22

Explanation:

There are two sets:

Set W of incoming seniors who took AP World History, and

Set E of incoming seniors who took AP European History

And there is a subset, which is the intersection of those two sets:

Subset W ∩ E of senior students who took both.

The incoming seniors who are allowed to enroll in AP U.S. History, call them the subset S, is the set of those students that belong to W or E or both W ∩E.

By property of sets:

S = W + E - W∩E = 175 + 36 - 33 = 178

Then, 178 out of 825 incoming seniors took one or both courses, and the desired probability of a randomly selected incoming senior is allowed to enroll in AP U.S. History is:

178/825 = 0.21576 ≈ 0.22

6 0

3 years ago