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valentina_108 [34]

4 years ago

10

Hey can you please help me posted picture of question

1 answer:

storchak [24]4 years ago

3 0

We are to find P(A' ∩ B).

A' indicates Compliment of A.

Since A and B are independent events, we can use the formula:

P(A' ∩ B) = P(A') x P(B)

P(A') = 1 - P(A) = 1 - 0.4 = 0.6

So,

P(A' ∩ B) = 0.6 x 0.9 = 0.54

So, option A gives the correct answer

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4 – (2x + 5) = (–4x – 2)

Marrrta [24]

3/2

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0

3 years ago

Read 2 more answers

A toy rocket is launched from a platform that is 48 ft high. The rocket height above the ground is modeled by h=-16t^2+32t+48. a

Komok [63]

Answer:

a) 64 feet

b) 3 seconds

Step-by-step explanation:

a)

The maximum height of $h=h(t)$ can be bound by finding the y-coordinate of the vertex of $y=-16x^2+32x+48$ .

Compare this equation to $y=ax^2+bx+c$ to find the values of $a,b,\text{ and } c$ .

$a=-16$

$b=32$

$c=48$ .

The x-coordinate of the vertex can be found by evaluating:

$\frac{-b}{2a}=\frac{-32}{2(-16)$

$\frac{-b}{2a}=\frac{-32}{-32}$

$\frac{-b}{2a}=1$

So the x-coordinate of the vertex is 1.

The y-coordinate can be found be evaluating $y=-16x^2+32x+48$ at $x=1$ :

$y=-16(1)^2+32(1)+48$

$y=-16+32+48$

$y=16+48$

$y=64$

So the maximum height of the rocket is 64 ft high.

b)

When the rocket hit's the ground the height that the rocket will be from the ground is 0 ft.

So we are trying to find the second t such that:

$0=-16t^2+32t+48$

I'm going to divide both sides by -16:

$0=t^2-2t-3$

Now we need to find two numbers that multiply to be -3 and add to be -2.

Those numbers are -3 and 1 since (-3)(1)=-3 and (-3)+(1)=-2.

$0=(t-3)(t+1)$

This implies we have either $t-3=0$ or $t+1=0$

The first equation can be solved by adding 3 on both sides: $t=3$ .

The second equation can be solved by subtracting 1 on both sides: $t=-1$ .

So when $t=3$ seconds, is when the rocket has hit the ground.

5 0

3 years ago

What is 14% of 3.09 million

svlad2 [7]

14% * 3.09 million = 432,600

7 0

3 years ago

A gallon of gas costs $2.93 per gallon. Marcie's car holds 10 gallons. If her tank is empty, how many will it cost to fill it?

melamori03 [73]

The answer is $29.3 because you multiply 2.93 times the ten gallons of gas.

6 0

3 years ago

270 is 90% of what number?

kakasveta [241]

$90\% \ of \ x =270 \\\\ \frac{90}{100}*x=270 \\\\ \frac{9}{10}=\frac{270}{x} \\\\ x=\frac{10*270}{9} \\\\ x=10*30 \\\\ \boxed{x=300}$

6 0

3 years ago