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lilavasa [31]
2 years ago
15

Please help and please no links..thanks ¯\_(ツ)_/¯

Mathematics
2 answers:
Agata [3.3K]2 years ago
5 0

Answer:

c / 4 + 5 = 7

Hope this helps!

Step-by-step explanation:

5 + ( more )  than the quotient ( division ) of a number and ( + ) 4 is ( = ) 7

5 + c / 4 = 7

c / 4 + 5 = 7

IrinaVladis [17]2 years ago
3 0

Answer:

\frac{c}{4} +5 = 7

Step-by-step explanation:

The wording, "the quotient of a number and 4," can be displayed as c/4. C would be our variable for the number because the question asks specifically for it. 5 more would demonstrate that we're adding 5 more to our equation. Which would result in c/4 + 5. However, since it equals 7, just add that portion to create the following equation:

\frac{c}{4} +5 = 7

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In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 11% of voters a
Radda [10]

Answer:

a) 0.0214 = 2.14% probability that none of the people are Independent.

b) 0.8516 = 85.16% probability that fewer than 6 are Independent.

c) 0.8914 = 89.14% probability that more than 2 people are Independent.

Step-by-step explanation:

For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution 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.

It is believed that 11% of voters are Independent.

This means that p = 0.11

A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.

This means that n = 33

A. What is the probability that none of the people are Independent?

This is P(X = 0). So

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

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

0.0214 = 2.14% probability that none of the people are Independent.

B. What is the probability that fewer than 6 are Independent?

This is

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

So

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

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872

P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724

P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202

P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041

P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516

0.8516 = 85.16% probability that fewer than 6 are Independent.

C. What is the probability that more than 2 people are Independent?

This is:

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1)

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

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872

P(X < 2) = 0.0214 + 0.0872 = 0.1086

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914

0.8914 = 89.14% probability that more than 2 people are Independent.

8 0
2 years ago
Which of the following is the minimum value of the equation y=2x^2+5
sweet-ann [11.9K]
Plug in 0 for x and you get 5. Which is your answer :)
7 0
3 years ago
You watch a roulette wheel spin 270 consecutive times and the ball lands on a red slot each time. what is the probability that t
Rus_ich [418]
<span>18/37 if you're in Europe, 9/19 if you're in America, assuming the wheel isn't rigged. If the roulette wheel is a fair wheel, the odds on any given spin of the wheel is unaffected by any previous spins of the wheel. So no matter how many times the wheel has consecutively come up red, the next spin can still come up red, black, or green based upon the number of each color is present on the wheel. The difference between the odds for Europe vs America has to do with a quirk about roulette. In Europe, the roulette wheel has 37 slots, 18 red, 18 black, and 1 green. In America, the roulette wheel has 38 slots, 18 red, 18 black, and 2 green. Although in this case, I'd be wary about assuming that the wheel isn't rigged. The odds of 270 consecutive red on a fair wheel is only 1 in 3.09663x10^84 in Europe, or 1 in 4.14949x10^87 in America.</span>
6 0
3 years ago
Write y=2/3x +5 in standard form​
DochEvi [55]

Answer:

2x-3y=-15

Step-by-step explanation:

y=2/3x+5 and write in standard form.

and you come up with 2x-3y=-15.

6 0
2 years ago
Leah claims that these figures are not similar. When she compared the heights, she wrote 27. Then she compared the bases and got
Flauer [41]

Answer:

<h2>Leah is actually wrong, because those rectangles are similar.</h2>

Step-by-step explanation:

Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.

In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.

\frac{21}{6}=3.5

\frac{7}{2}=3.5

As you can observe, both ratios are equal.

Therefore, those rectangles are congruent.

4 0
3 years ago
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