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Bas_tet [7]
3 years ago
10

Consider this story problem: "Priscilla bought cheese that weighs ¾ pounds. If she divides it into portions that are each 1/8 po

und, how many portions can she make?" The value 3/4 is which part of the equation?
Mathematics
1 answer:
Katena32 [7]3 years ago
8 0

Answer:

4

Step-by-step explanation:

You might be interested in
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
A line has a slope of 5 and passes through the point (-1,2).
Andreyy89

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

<u>By point-slope form:</u>

y-y_{1}=m(x-x_{1})

<u>Substitute the values in formula:</u>

<u>y-2=5(x+1)</u>        (It is the point slope form)

Now,

<u>Slope intercept form:</u>

y-2=5x+5

y=5x+5+2

<u>y=5x+7</u>

<u />

<h3><u>If you need to ask any questions, please let me know.</u></h3>
5 0
3 years ago
40 pts and Brainliest pls give detailed answer :)
horsena [70]

Answer:

58 ft

Step-by-step explanation:

So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: sin(\theta) = \frac{opposite}{hypotenuse}. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.

sin(46) = \frac{x}{80}

Multiply both sides by 80

sin(46) * 80 = x

Calculate sin(46) using a calculator (make sure it's in degree mode)

0.7193398 * 80 = x

Simplify

57.547 \approx x

Round this to the nearest foot

58 \approx x

4 0
1 year ago
Help please guys!!!!
leva [86]

Answer:

they are like terms

Step-by-step explanation:

the sign ± is not a matter only veriable and power

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

5 0
2 years ago
I really need help Please ​
kumpel [21]

Answer:

The tree was 5 feet when he bought it and it grew one foot every year.

I believe the equation would be h=t+5

Step-by-step explanation:

The answer would be h=t+5 because the height equals the year plus five.

7 0
2 years ago
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