Plot the vertices (-2, -8), (-2, 2), and (8,2).

Analyze the table below and answer the question that follows.

lora16 [44]

Answer:

C. Events E and A are independent

Step-by-step explanation:

we will verify each options

(a)

We can use independent events formula

P(B∩C)=P(B)*P(C)

we are given

P(B)=0.4

P(C)=0.25

P(B∩C)=0.05

now, we can plug these values into formula

and we get

0.05=0.4*0.25

0.05=0.1

we can see that left side is not equal to right side

so, this is FALSE

(b)

We can use independent events formula

P(D∩A)=P(D)*P(A)

we are given

P(D)=0.25

P(A)=0.6

P(D∩A)=0.1

now, we can plug these values into formula

and we get

0.1=0.25*0.6

0.1=0.15

we can see that left side is not equal to right side

so, this is FALSE

(c)

We can use independent events formula

P(E∩A)=P(E)*P(A)

we are given

P(E)=0.5

P(A)=0.6

P(E∩A)=0.3

now, we can plug these values into formula

and we get

0.3=0.5*0.6

0.3=0.3

we can see that both sides are equal

so, this is TRUE

(d)

We can use independent events formula

P(D∩B)=P(D)*P(B)

we are given

P(D)=0.25

P(B)=0.4

P(D∩A)=0.15

now, we can plug these values into formula

and we get

0.15=0.25*0.4

0.15=0.1

we can see that left side is not equal to right side

so, this is FALSE

8 0

3 years ago

Rewrite -1-2 using addition

torisob [31]

Answer:

Step-by-step explanation:

-1+(-2)

5 0

3 years ago

Simplify 4^7/5^2 all raised to the 3rd power 4^10/5^5 4^4/5 4^21/5^6 12^7/15^2

zepelin [54]

[4^7/5^2]³ = 4^21/5^6

When a power is raised to an other power, you multiply these 2 powers

Answer: 4^21/5^6

5 0

4 years ago

number 3 says,"If u and v are the measures of complementary angles such that sin u =2/5 and tan v =(square root of 21) 21/2, lab

vodomira [7]

Answer and Explanation:

Using trig ratios, we can express the given values of sin u and tan v as shown below

$\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}$

So we can go ahead and label the sides of the triangle as shown below;

We can find the value of u as shown below;

$\begin{gathered} \sin u=\frac{2}{5} \\ u=\sin ^{-1}(\frac{2}{5}) \\ u=23.6^{\circ} \end{gathered}$

We can find v as shown below;

$\begin{gathered} u+v+90=180\text{ (sum of angles in a triangle)} \\ v+23.6+90=180 \\ v=180-113.6 \\ v=66.4^{\circ} \end{gathered}$

5 0

1 year ago

Sam makes bread rolls he gets 2/5 of the bread rolls to his neighbor and 4/9 the remainder to his cousin he has 15 bread left ho

Kitty [74]

Answer:

Sam made 45 rolls

Step-by-step explanation:

After giving some to his neighbor, Sam has 1 -2/5 = 3/5 of the original quantity left. After giving some to his cousin, he has (3/5)(1 -4/9) = (3/5)(5/9) of the original quantity left.

(3/5)(5/9) = 3/9 = 1/3

15 rolls = (1/3)·(original number) . . . . . . Sam has 15 roll left

45 rolls = original number . . . . . . . . . . . multiply by 3

_____

Check

Same gave 2/5·45 = 18 rolls to his neigbor, so had 27 left. Sam gave 4/9·27 = 12 to his cousin, so had 15 left.

3 0

3 years ago

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