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3 years ago

5

The United States congress includes 2 sectors from each state ,plus members of the house of representatives. if r means the numb

er representatives from each state which rule represents the total number of members each state has in congress
A. 2r (2×r)

B.r÷2

C.r-2

D.r+2

1 answer:

astra-53 [7]3 years ago

6 0

Answer:

2+-($)(*(*()($_((*_77392973673993939$9

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Raul has 56 bouncy balls. He puts three times as many balls into red bags as he puts into green gift bags. If he puts the same n

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If we divide 56 by 4 we get 14. Why by4? So that one number is 3 times the other So he had 14 balls that went into the green bags and 42 (56-14) that went into the red bags. We could just answer the question and say 14 but I think they want to know how many in each green bag.
14 and 42 don't work because they are not the same number of balls. What number is a common factor? 7 is,
We could have 2 green bags and split the 14 balls into 2 groups of 7 and with the remaining 42 - put them into 6 red bags of 7 each.
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What is 1675 divided by 25 with remainder?

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Step-by-step explanation:

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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

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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

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4 years ago

What is the equation for this graph?

PilotLPTM [1.2K]

Answer:

y = 2x -2

Step-by-step explanation:

This is only the answer if you need the slope-intercept form equation.

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3 years ago

Write an exponential model (equation) that represents the following situations.

guajiro [1.7K]

Answer:

9,772,219 (Approx)

Step-by-step explanation:

Given:

Current population = 8,851,000

Growth rate = 2% = 0.02

a. Time = t

b. Time = 5 years

Find:

a. Write the equation.

b. Population after 5 year = ?

Computation:

a. Equation for the following question:

After population = $Current\ population(1+r)^n$

$After\ population =8,851,000(1+0.02)^t\\\\After\ population =8,851,000(1.02)^t$

b. Population after 5 year

$=8,851,000(1.02)^5\\\\=9,772,219.16$

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