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erik [133]
2 years ago
5

4/7 divided by 2 1/3 = ???

Mathematics
2 answers:
zepelin [54]2 years ago
6 0
2/21 is the answer

Hope this helps
sesenic [268]2 years ago
6 0

Answer:

\frac{12}{49}

explanation:

Use the keep change flip method. This consists of literally flipping a fraction to make the denominators alike, allowing for faster solves and multiplication.

2\frac{1}{3} is \frac{7}{3}, so flip 7/3 so it is 3/7, matching up with 4/7.

Next, multiply.

<u>4 x 3</u>

7 x 7

<em>4 x 3</em> is 12. Write 12 as a numerator.

<em>7 x 7</em> is 49. Write 49 as a denominator.

Therefore, the answer is \frac{12}{49}

Simplifying? We cannot simplify this number due to a lack of factors.

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Two candidates face each other in an election. The Democratic candidate is supported by 46% of the population, and the Republica
7nadin3 [17]

Answer:

27.98% probability that less than half of them (3 or fewer) would support the Republican candidate

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they support the Republican candidate, or they do not. The people are chosen at random, which means that the probability of them supporting the republican candidate is independent from other people. So we use the binomial 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.

In this problem we have that:

The Republican candidate is supported by 54%. This means that p = 0.54

Suppose you run a poll of 8 people (randomly choose 8 people). What is the probability that less than half of them (3 or fewer) would support the Republican candidate?

This is P(X \leq 3) when n = 8.

So

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

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

P(X = 0) = C_{8,0}.(0.54)^{0}.(0.46)^{8} = 0.0020

P(X = 1) = C_{8,1}.(0.54)^{1}.(0.46)^{7} = 0.0188

P(X = 2) = C_{8,2}.(0.54)^{2}.(0.46)^{6} = 0.0774

P(X = 3) = C_{8,3}.(0.54)^{3}.(0.46)^{5} = 0.1816

So

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0020 + 0.0188 + 0.0774 + 0.1816 = 0.2798

27.98% probability that less than half of them (3 or fewer) would support the Republican candidate

3 0
3 years ago
Helpppppo its an energy
Dahasolnce [82]

Answer:

for the first graph for the side of y it's five

Step-by-step explanation:

because no matter what numbers it is the difference is 5

3 0
3 years ago
Kate sold 12 of her paintings and purchased 7 more. if kate has 21 paintings now, how many paintings did she have to begin with?
kicyunya [14]
First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21. 

                                           x - 5 = 21      ; x = 26

Thus, Kate initially had 26 paintings. 
7 0
4 years ago
The points (2,11) and (8,44) form a proportional relationship. Find the slope of the line through the
vlabodo [156]

Answer:

The slope is 33/6

Step-by-step explanation:

The slope is 33/6 becuase you do y2-y1/x2-x1 so 44-11/8-2= 33/6

7 0
3 years ago
5 schools sent some students to a conference.
almond37 [142]
School 1:
16 boys
Boys: Girls = 1:2
Girls= Boys x2
Girls = 32
Total students= girls + boys = 16 + 32 = 48

All 5 schools sent the same number of students
48 x 5 = 240
Answer = 240
7 0
3 years ago
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