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4 years ago

Greatest common factor of 126

Mathematics

2 answers:

Oksi-84 [34.3K]4 years ago

6 0

Answer:

Step-by-step explanation:

Dovator [93]4 years ago

6 0

Answer:

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

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 $n = 8$ .

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

In which

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

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

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

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

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

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

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

3 0

4 years ago

A sequence is defined by the recursive function f(n + 1) = one-halff(n). If f(3) = 9 , what is f(1) ?

almond37 [142]

Answer:

d.) 81

Step-by-step explanation:

f(2) would be 27 and 27x3 is 81.

81/3=27

27/3=9

9 0

4 years ago

Read 2 more answers

suppose the students who scored 85 and 90 on the math test take the test again and score 95. How many stars would you have to ad

Ugo [173]

Suppose the students who scored 85 and 90 on the math test take the test again and score 95. How many stars would you have to add to the picturegraph next to 95?
10

5 0

3 years ago

Jake is traveling 14 mph in his boat. After 5 hours, how far will he have traveled?

Luden [163]

Answer: 70

Step-by-step explanation: 14 times 5 = 70

6 0

3 years ago

Read 2 more answers

Which value of x makes this inequality true? X + 9 < 4x

Bogdan [553]

We want to get out x's together on the right side of the inequality.

So, subtract x from both sides to get 9 < 3x.

Now divide both sides by 3 and we get 3 < x.

I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.

So we can rewrite this as x > 3.

3 0

4 years ago