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2 years ago

Remember what we know about vertical angles and solve for x.

Mathematics

1 answer:

zheka24 [161]2 years ago

7 0

Answer:

m<a is 32º

Step-by-step explanation:

4x-8=2x+12

+8 +8

4x=2x+20

-2x -2x

2x=20

÷2

x=10

4x-8

4(10)-8

40-8

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Employees at Standard Storage are in the ratio of 2 women to 7 men. If there are 490 men employed,

PilotLPTM [1.2K]

Proportion women /men = 2/7 = x/490 7x= 2· 490 :7

X = 2·70 = 140

4 0

3 years ago

(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0

Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

$P(A)+P(B)+P(A\cap B)=P(A\cup B)$

We know that

Maximum value of $P(A\cup B)$ =1 and minimum value of $P(A\cup B)$ =0

$0\leq P(A\cup B )\leq 1$

$0\leq P(A)+P(B)-P(A\cap B)\leq 1$

$0\leq 0.4+0.7-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)$

$P(A\cap B)\leq 1.1$

It is not possible that $P(A\cap B)$ is equal to 1.1

$1.1-P(A\cap B)\leq 1$

$-P(A\cap B)\leq 1-1.1=-0.1$

Multiply by (-1) on both sides

$P(A\cap B)\geq 0.1$

Again, $P(A\cup B)\geq P(B)$

$0.4+0.7-P(A\cap B)\geq 0.7$

$1.1-P(A\cap B)\geq 0.7$

$-P(A\cap B)\geq -1.1+0.7=-0.4$

Multiply by (-1) on both sides

$P(A\cap B)\leq 0.4$

Hence, $0.1\leq P(A\cap B)\leq 0.4$

3 0

3 years ago

Why do prices increase when demand for a product is high?

andrew11 [14]

Answer:When demand exceeds supply, prices tend to rise. ... If there is a decrease in supply of goods and services while demand remains the same, prices tend to rise to a higher equilibrium price and a lower quantity of goods and services. The same inverse relationship holds for the demand for goods and services.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A quadrilateral is dilated by a scale factor of 2. It's original side measures are 7, 14, 21, and 28.

algol13

Answer:

14,28,42 and 56

Step-by-step explanation:

Multiply all lengths by 2 as the quadrilateral is dilated by a scale factor of 2

6 0

3 years ago

Read 2 more answers

Help please now help dont be childish will banned

belka [17]

Answer:

X, process, y

-2, 3(-2), -6

-1, 3(-1), -3

0, 3(0), 0

1, 3(1), 3

2, 3(2), 6

X = -2, -1, 0, 1, 2,

Y = -6, -3, 0, -3, -6

Step-by-step explanation:

Coordinates for the graph: (-2,-6), (-1,-3), (0,0), (1,3), (2,6)

Graph is the image I added onto this.

Solving for Y below:

3(-2)= -6

3(-1)= -3

3(0)= 0

3(1)= 3

3(2)= 6

Hope this helps.

5 0

3 years ago