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3 years ago

If P(A)=0.43 and P(B)=0.09, find P(A and B). Round your answer to the nearest hundredth.

Mathematics

1 answer:

AleksAgata [21]3 years ago

5 0

Answer:

0.04 to the nearest hundredth.

Step-by-step explanation:

P(A and B)

= P(A ∩ B

= P(A) * P(B)

= 0.43 * 0.09

= 0.0387.

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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9

mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

The height $h(t)$ of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation $h(t) = 3 +90\cdot t -16\cdot t^{2}$ , where $t$ is time in seconds. After how many seconds will the ball be 84 feet above the ground.

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

$3+90\cdot t -16\cdot t^{2} = 84$

$16\cdot t^{2}-90\cdot t +81 = 0$ (1)

By Quadratic Formula:

$t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}$

$t_{1} = 4.5\,s$ , $t_{2} = 1.125\,s$

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0

3 years ago

Could some help thank you

Andrews [41]

Answer:

To calculate the volume of a cylinder, you need the radius or diameter of the circular base or top and the height of the cylinder. The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder. The volume of a cylinder is measured in cubic units.

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3 years ago

What is the first step in solving this system of equations?

DiKsa [7]

Step-by-step explanation:

Multiply the first equation by 7 and the second by 2

8 0

3 years ago

I NEED ANSWERS(POINTS AND BRAINIEST)

Pie

Answer:

WHAT?

Step-by-step explanation:

7 0

3 years ago

No absurd answers. 100 points. Just answer it and tell me how you got it.

nikklg [1K]

Answer:

sin-32/40

cos-24/40

tan-32/24

Step-by-step explanation:

SOHCAHTOA

sin is opposite over the hypotenuse

cosine is adjacent over hypotenuse

tan is opposite over adjacent

plug in the numbers corresponding with angle B and you get your formulas

so sorry if my explanation was bad

3 0

3 years ago

Read 2 more answers