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3 years ago

Select the best possible first step to solving the system by first eliminating the x variable. (1 point)

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

7 0

Answer:

I would go for the second step.

Step-by-step explanation:

2 + 4y = -4

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In a certain college, 33% of the math majors belong to ethnic minorities. If 7 students are selected at random from the math maj

Digiron [165]

Answer: a) 0.996, b) 0.253, c) 0.02.

Step-by-step explanation:

Since we have given that

Probability of success = Probability of the math majors belong to ethnic minorities = 33% = 0.33 =p

Probability of failure = q = 1-0.33 = 0.67

Number of students selected = 7

a) No more than 5 belong to an ethnic minority

So, using "binomial distribution", we get that

$P(X\leq 5)=\sum^5 _{x=0} ^5C_x(0.33)^x(0.67)^{5-x}=0.996$

b. Exactly three of them belong to an ethnic minority

So, it becomes,

$P(X=3)=^7C_3(0.33)^3(0.67)^4=0.253$

c. None of them belong to an ethnic minority

$P(X=0)=^7C_0(0.33)^0(0.67)^7=0.02$

Hence, a) 0.996, b) 0.253, c) 0.02.

8 0

3 years ago

Please write the proportion fir then and i’ll solve it

MaRussiya [10]

Answer:

what is the problem?

4 0

3 years ago

Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

Anna007 [38]

Answer:

$y=2x+3$

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

$\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2$

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

$y-7=2(x-2)$

Solve for y. Distribute the right:

$y-7=2x-4$

Add 7 to both sides. Hence, our equation is:

$y=2x+3$

6 0

3 years ago

[PLEASE BE QUICK] Write the equation of the line in point-slope form that passes through the given point with the given slope. 5

ladessa [460]

Answer:

y-5=-3(x-1) simplified: y=-3x+8

Step-by-step explanation:

y-y1=m(x-x1)

plug in point and slope given

y-5=-3(x-1)

y=-3x+3+5

y=-3x+8

3 0

3 years ago

PLZ HELP ( NO LINKS OR ELSE YOU WILL BE REPORTED!)

bearhunter [10]

I think it is 1 1/3 ? If not I’m so sorry

5 0

3 years ago