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3 years ago

Still won his election by a margin of 7 to 2 his opponent had 3492 votes how many votes did Steve have

Mathematics

1 answer:

kramer3 years ago

7 0

Answer:

12,222 votes

Step-by-step explanation:

7 x 3492= 24,444

24,444/2= 12,222

Steve has 12,222 votes.

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Take a guess: A student takes a multiple-choice test that has 9 questions. Each question has four choices. The student guesses r

skad [1K]

Answer:

a) P(4) = 0.1168

b) P(More than 2) = 0.3993

Step-by-step explanation:

For each question, there are only to possible outcomes. Either the students guesses the correct answer, or he guesses the wrong. Each question is independent of other questions. So 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.

9 questions.

This means that $n = 9$

Each question has four choices.

This means that $p = \frac{1}{4} = 0.25$

(a) Find P(4).

This is P(X = 4).

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

$P(X = 4) = C_{9,4}.(0.25)^{4}.(0.75)^{5} = 0.1168$

P(4) = 0.1168

(b) Find P (More than 2).

Either the student answers 2 or less questions correctly, or the student answers more than 2 correctly. The sum of the probabilities of these events is 1. Then

$P(X \leq 2) + P(X > 2) = 1$

We want $P(X > 2)$ . Then

$P(X > 2) = 1 - P(X \leq 2)$

In which

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

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

$P(X = 0) = C_{9,0}.(0.25)^{0}.(0.75)^{9} = 0.0751$

$P(X = 1) = C_{9,1}.(0.25)^{1}.(0.75)^{8} = 0.2253$

$P(X = 2) = C_{9,2}.(0.25)^{2}.(0.75)^{7} = 0.3003$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0751 + 0.2253 + 0.3003 = 0.6007$

$P(X > 2) = 1 - P(X \leq 2) = 1 - 0.6007 = 0.3993$

Then

P(More than 2) = 0.3993

8 0

4 years ago

A bag of dog food is on sale for 50% off. If c represents the original cost of the bag of dog food, which expression shows the s

kolezko [41]

I am pretty sure it is C.
since the dog food is 50 percent off, you need to divide the price by two. The question doesn't give you the price so you have to multiply the original price (c) by 1/2 (0.5).
Let's say the price of the dog food is $10. When you think about it without doing the math $10 at 50% off is $5. so you have to multiply the original price by 0.5 (10x0.5=5)
I'm not very good at explaining... I really hope it helped though

5 0

3 years ago

IF a egg get cook in 5 mins how many mins does it take to cook 7 eggs

katrin2010 [14]

35 minutes because 7 x 5 = 35

6 0

4 years ago

Read 2 more answers

I’ve looked at this for a while, can someone clear up the answers for me? I can’t figure it out.

navik [9.2K]

What answers? I don't see any

4 0