Calculate the area of the trapezoid, which is not drawn to scale<br> PLS HELP!!!

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

Ape x: Solve y^3 = 64<br> a. y = 64/3<br> b. y = 16 <br> c. y = 4<br> d. y = 8

Alla [95]

Answer: option C, y = 4

Step-by-step explanation:

first, i simplified the equation.

y = ^3sqt64

then, i just calculated that.

y = 4

6 0

3 years ago

Read 2 more answers

Can you help me solve this problem?

olganol [36]

It is 766666666666666666666666666

4 0

3 years ago

If a = 4, b = 6 and C = -3, Find the values <br> of <br> 3ac<br> ____<br> B²-C²

madreJ [45]

The value of the expression 3ac - b² - c² is -61.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be solved as below:-

3ac - b² - c² = ( 3 x 4 x -3 ) - ( 4 )² - ( -3 )²

= ( -36 - 16 - 9 )

= ( -61 )

Therefore, the value of the expression 3ac - b² - c² is -61.

To know more about an expression follow

brainly.com/question/723406

#SPJ1

7 0

2 years ago

Which solution can be used to fill in both blanks in the table?

Musya8 [376]

Answer:

(6,7)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Calculate the area of the trapezoid, which is not drawn to scale PLS HELP!!!