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3 years ago

6

Students in 4th and 5th grade took a survey regarding their favorite cafeteria food. What percent of the students selected pizza

as their favorite food? (Will give brainly plus 50 points if correct)
A) 30%

B) 40%

C) 60%

D) 20%

(Teachers Hint: "For this one you need to set up a proportion. Start by finding the total amount of kids asked (60 + 110 + 120 + 10 = 300). Then set up the proportion:

pizza % 60 x

_____ = _____ ____ = ____

Total 100 300 100

Cross multiply and divide to get your answer!")

1 answer:

kirill [66]3 years ago

6 0

Answer:

the answer to your question will be D, 20%

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In a multiple choice quiz there are 5 questions and 4 choices for each question (a, b, c, d). Robin has not studied for the quiz

Ahat [919]

Answer:

a) There is a 18.75% probability that the first question that she gets right is the second question.

b) There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

c) There is a 10.35% probability that she gets the majority of the questions right.

Step-by-step explanation:

Each question can have two outcomes. Either it is right, or it is wrong. So, for b) and c), 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.

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem we have that:

Each question has 4 choices. So for each question, Robin has a $\frac{1}{4} = 0.25$ probability of getting ir right. So $\pi = 0.25$ . There are five questions, so $n = 5$ .

(a) What is the probability that the first question she gets right is the second question?

There is a 75% probability of getting the first question wrong and there is a 25% probability of getting the second question right. These probabilities are independent.

So

$P = 0.75(0.25) = 0.1875$

There is a 18.75% probability that the first question that she gets right is the second question.

(b) What is the probability that she gets exactly 1 or exactly 2 questions right?

This is: $P = P(X = 1) + P(X = 2)$

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

$P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955$

$P(X = 2) = C_{5,2}.(0.25)^{2}.(0.75)^{3} = 0.2637$

$P = P(X = 1) + P(X = 2) = 0.3955 + 0.2637 = 0.6592$

There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

(c) What is the probability that she gets the majority of the questions right?

That is the probability that she gets 3, 4 or 5 questions right.

$P = P(X = 3) + P(X = 4) + P(X = 5)$

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

$P(X = 3) = C_{5,3}.(0.25)^{3}.(0.75)^{2} = 0.0879$

$P(X = 4) = C_{5,4}.(0.25)^{4}.(0.75)^{1} = 0.0146$

$P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001$

$P = P(X = 3) + P(X = 4) + P(X = 5) = 0.0879 + 0.0146 + 0.001 = 0.1035$

There is a 10.35% probability that she gets the majority of the questions right.

6 0

3 years ago

Which of the lines below is parallel to a line with a slope of 3 and a y-intercept at (0, 3)?

Dmitrij [34]

Answer:

$\displaystyle line\:HJ$

Step-by-step explanation:

$\displaystyle y = 3x + 3$

The descryption gives you the above <em>Slope-Intercept Equation</em>. Parallel equations have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], therefore $\displaystyle 3$ remains as is, and perfourming $\displaystyle \frac{rise}{run},$ will give you that answer.

I am joyous to assist you at any time.

6 0

2 years ago

A square patio has a perimeter of (32x+8) feet. What is the length of the patio?

Sonbull [250]

The perimeter of the square patio is the sum of its side lengths

The length of the patio is: 8x + 2

The given parameters are:

$\mathbf{Shape = Square}$

$\mathbf{Perimeter = 32x + 8}$

The perimeter of a square is:

$\mathbf{Perimeter = 4 \times Length}$

So, we have:

$\mathbf{4 \times Length = 32x + 8}$

Divide both sides by 4

$\mathbf{Length = 8x + 2}$

Hence, the length of the patio is: 8x + 2

Read more about perimeters at:

brainly.com/question/6465134

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3 years ago

Steps for solving 3x + 18 = 54 are shown.

Lostsunrise [7]

C

By subtracting 18 to both sides you are separating the 3x because you are not ready to isolate the variable (x) in step 1

7 0

3 years ago

Which function represents a translation of the parent cubic function 8 units to the left? h(x) = x3 + 8 h(x) = x3 – 8 h(x) = (x

Ksju [112]

Using the definition of the Vertical shifts of graphs of the function :

"Suppose c>0,

To graph y=f(x)+c, shift the graph of y=f(x) upward c units.

To graph y=f(x)-c, shift the graph of y=f(x) downward c units"

Again we recall the definition of Horizontal shifts of graphs:

" suppose c>0,

the graph y=f(x-c), shift the graph of y=f(x) to the right by c units

the graph y=f(x+c), shift the graph of y=f(x) to the left by c units. "

consider $f(x)=x^3$ is the parent function.

$h(x)=x^3+8$ shifts the graph $f(x)=x^3$ upward by 8 units

$h(x)=x^3-8$ shifts the graph $f(x)=x^3$ downward by 8 units

$h(x)=(x+8)^3$ shifts the graph $f(x)=x^3$ left by 8 units

$h(x)=(x-8)^3$ shifts the graph $f(x)=x^3$ right by 8 units.

7 0

3 years ago

Read 2 more answers