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fgiga [73]
2 years ago
9

According to the Venn Diagram below and given that P(A) = .4 as well as

Mathematics
1 answer:
7nadin3 [17]2 years ago
7 0

Hello,

P(A)=0.4

P(B)=0.3

P(AUB)+P(A∩B)=P(A)+P(B)

P(AUB)=0.4+0.3-0.1=0.6

Answer C

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What's -1 80/99 in decimal form
Daniel [21]

Answer: 1.80

Step-by-step explanation:

8 0
3 years ago
The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image?
schepotkina [342]

ANSWER

The coordinates of the image are (2,2)

EXPLANATION

The mapping for a reflection across the line y=k is :

(x,y)\to (x,2k-y)

We want to find the image of the point (2,-4) after a reflection in the line y=-1.

In this case k=-1.

(2, - 4)\to (2,2( - 1)- - 4)

This simplifies to,

(2, - 4)\to (2, - 2 + 4)

(2, - 4)\to (2, 2)

Hence the image is (2,2)

4 0
3 years ago
What is the equation in point-slope form of a line perpendicular to y= ⅕ x+8, through the point (-2, 3) *
ivolga24 [154]

Answer:

it was right but ok

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2:   18/2

2 : 9

4 0
3 years ago
What is the solution for the system of equations {9x+8y=3 6x−12y=−11?
lions [1.4K]

Answer:

( - \frac{1}{3}, \frac{3}{4} )

Step-by-step explanation:

Given the 2 equations

9x + 8y = 3 → (1)

6x - 12y = - 11 → (2)

To eliminate the y- term multiply (1) by 1.5

13.5x + 12y = 4.5 → (3)

Add (2) and (3) term by term

(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)

19.5x = - 6.5 ( divide both sides by 19.5 )

x = \frac{-6.5}{19.5} = - \frac{1}{3}

Substitute this value into either of the 2 equations and solve for y

Using (1), then

- 3 + 8y = 3 ( add 3 to both sides )

8y = 6 ( divide both sides by 8 )

y = \frac{6}{8} = \frac{3}{4}

Solution is (- \frac{1}{3}, \frac{3}{4} )

6 0
3 years ago
What is an equation of the line that passes through the points (4,-1) and (8,5)?
fiasKO [112]

Answer:

y=3/2x-7

Step-by-step explanation:

the equation of the line for slope-intercept form is y=mx+b, where  m is the slope and b is the y intercept.

we are given two points: (4,-1) and (8,5)

the equation for slope is (y2-y1)/(x2-x1)

label the points:

x1=4

y1=-1

x2=8

y2=5

now substitute into the equation:

m=(5--1)/(8-4)

m=6/4

m=3/2

the slope of the line is 3/2

here is our equation so far:

y=3/2x+b

we need to find b

since the equation will pass through the points, we can substitute either one into the equation to find b

let's use (4,-1) as an example

substitute into the equation

-1=3/2(4)+b

-1=6+b

-7=b

the y intercept is -7

so the equation is y=3/2x-7

hope this helps!

8 0
3 years ago
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