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3 years ago

Graph the Equation: y=2x + 1 A B C D

Mathematics

1 answer:

Vladimir79 [104]3 years ago

6 0

Answer:

Step-by-step explanation:

okay so first I wanted to see which graphs had the y-intercept of +1 (b) which in coordinates would be (0, 1). Since only B and D had this, I already limited my options to those two choices. Now, you could find two even points (even meaning they evenly align with the grid of the graph), but I decided to do rise/run. If the slope is 2 like in the equation, it would be rise 2 run 1. I tried this with B, but the line was not steep enough. Rather, its slope was actually 1. To confirm that D was correct, I tried to rise 2 and run 1 (go up by 2 amd then right by 1) and it worked.

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According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or youn

Yuliya22 [10]

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that 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.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that $p = 0.07$

A day care program has capacity for 8 children in that age range.

This means that $n = 8$

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

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

$P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337$

0.337 = 33.7% probability that one of the eight children has a food allergy.

6 0

3 years ago

Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an

Rainbow [258]

Douglas invested $ 1300 altogether

Solution:

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

The simple interest is given by formula:

$S.I = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

He earns $152.75 in interest in one year from both accounts combined

Therefore,

Combined S.I = 152.75

n = 1 year

Considering the account earning 14% interest:

$S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y$

Considering the account earning 5% interest:

$S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y$

Since, Combined S.I = 152.75

Therefore,

0.42y + 0.05y = 152.75

0.47y = 152.75

Divide both sides by 0.47

y = 325

Therefore,

x = 3y

x = 3(325)

x = 975

how much did he invest altogether?

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

3 0

3 years ago

Which graph represents the solution of y > x2 + 2?

Vladimir [108]

The questions is asking which one and i say is graph B

4 0

2 years ago

Read 2 more answers

Someone help me giving brainliest plz show ur work

goldfiish [28.3K]

Answer:

19.65 left

Step-by-step explanation:

The total amount that he has is 3 * 12 = 36 dollars.

From this he buys a CD for 15.00

There is a 9% tax on 15 dollars 15*9/100 = 1.35

Amount spent = 16.35

Amount left 19.65

3 0

3 years ago

Read 2 more answers

Write the equation of a line in standard form that passes through (-2, 5) and is perpendicular to

sdas [7]

Answer:

Step-by-step explanation:

x - 2y = 8

Write this in y = mx +b form

- 2y = -x + 8

Divide the equation by (-2)

$\dfrac{-2y}{-2}=\dfrac{-x}{-2}+\dfrac{8}{-2}\\\\\\y =\dfrac{1}{2}x-4$

Slope = 1/2

The slope of the perpendicular line = -1/m

$=\dfrac{-1}{\dfrac{1}{2}}=1*\dfrac{-2}{1} = -2$

m = -2 , ( -2 , 5)

Equation: y = mx +b

Plug in m = -2 ,x = -2 and y =5

5 = (-2)*(-2) + b

5 = 4 + b

5 - 4 = b

b = 1

Equation of the line:

y = mx +b

y = -2x + 1

7 0

3 years ago