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4 years ago

50 POINTS

Mathematics

1 answer:

Len [333]4 years ago

8 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

P(A) = 0.5

P(B) = 0.5

P(C) = 0.15

P(D) = 0.7

P(E) = 0.15

We need to find the independent events.

When we consider,

P(A∩D) = P(Event A and Event D) = 0.35

and

P(A) × P(D) = 0.7 × 0.5 = 0.35

We get that

P(A∩D)= P(A) × P(D) = 0.35

All other options are not satisfying the conditions of "Independent events".

Hence, Option 'B' is correct.

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96 + 96
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Factor these expressions into an equivalent form.

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3(2y+5)(2y-5)

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3 years ago

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It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada

Mashcka [7]

<h2>Hello!</h2>

The answer is:

The distance to over by Adam to get to the park is 108 miles.

To solve the problem, we need to write two equations using he given information about the times and his speed.

So,

For the first equation we have: Travel to Disney Park

$time=4hours$

$Distance=v*4hours$

For the second equation we have: Travel back from Disnery Park

$time=4hours-2.5hours=1.5hours$

$Speed=v+45mph$

$Distance=(v+45mph)*1.5hours$

Then, if Adam covered the same distance going and coming back, we have:

$v*4hours=(v+45mph)*1.5hours$

$v*4hours=v*1.5hours+45mph*1.5hours$

$v*4hours-v*1.5hours=45mph*1.5hours$

$v*2.5hours=67.5miles$

$v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph$

We have that the speed when he was going to Disney Park was 27 mph.

Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Therefore, substituting the speed into the second equation, we have:

$Distance=(v+45mph)*1.5hours$

$Distance=(27mph+45mph)*1.5hours=72mph*1.5hours=108miles$

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

8 0

4 years ago

Solve using proportions.

denis23 [38]

Answer:

7.8 = k

Step-by-step explanation:

Since the figures are similar, we can use proportions

c k

----- = -------

b j

Substituting the values in

6.5 k

----- = -------

4 4.8

Using cross products

6.5 * 4.8 = 4k

31.2 = 4k

Divide each side by 4

31.2/4 = 4k/4

7.8 = k

3 0

3 years ago

Please help me with this math problem

elena55 [62]

When a tangent line (13.5 cm) and a secant (lines x + 8.45 cm) intersect then:

tangent line^2 = 8.45 * (8.45 + x)

13.5^2 = 71.4025 + 8.45 x

182.25 -71.4025 = 8.45x

8.45 x = 110.8475

x = 13.1180473373

x = 13.1 (rounded)

Source:

1728.com/circangl.htm

4 0

3 years ago