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Dima020 [189]
2 years ago
7

The probability of event A is 0.5 and probability of event B is 0.2. Given that A and B are independent, then the probability of

A and B (A intersection B) is:
Mathematics
1 answer:
laiz [17]2 years ago
8 0
If they are independent, then P(A and B) is just P(A) times P(B). Which is 0.5*0.2=0.1
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What is the difference between a rhombus and a HURRY 5 MINUTES LEFT!!
Alik [6]

Answer:

A. rhombus is a parallelogram.

5 0
2 years ago
A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is f
zaharov [31]

Answer:

3200 ft-lb

Step-by-step explanation:

To answer this question, we need to find the force applied by the rope on the bucket at time t

At t=0, the weight of the bucket is 6+36=42 \mathrm{lb}

After t seconds, the weight of the bucket is 42-0.15 t \mathrm{lb}

Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.

If the upward direction is positive, the displacement after t seconds is x=1.5 t

Since the well is 80 ft deep, the time to pull out the bucket is \frac{80}{2}=40 \mathrm{~s}

We are now ready to calculate the work done by the rope on the bucket.

Since the displacement and the force are in the same direction, we can write

W=\int_{t=0}^{t=36} F d x

Use x=1.5 t and F=42-0.15 t

W=\int_{0}^{36}(42-0.15 t)(1.5 d t)

=\int_{0}^{36} 63-0.225 t d t

=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}

=\left[63 t-0.2 t^{2}\right]_{0}^{36}

W=3200 \mathrm{ft} \cdot \mathrm{lb}

4 0
2 years ago
Help me out here pleaseee​
Nat2105 [25]

Answer:

Wednesday: 45 - 18

Thursday: 55 - 22

Step-by-step explanation:

18*2.5=45

55/5=11

11*2=22

7 0
3 years ago
Read 2 more answers
What is the value of the constant in the expression?<br> 2x2 + 3x - y - 18 + 7y2
Virty [35]
I think it’s 3x

Hope it helps
8 0
3 years ago
Select the correct answer from each drop-down menu. The graph represents the piecewise function.
kvasek [131]

The functions will be defined as y = x² if 0 ≤ x < 3, y = -x + 10 if 3 < x ≤ 6, and y = x + 2 if 6 ≤ x ≤ 10.

<h3>What is a function?</h3>

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graph is given below.

The function can be defined as

The parabolic equation will be

f(x) = x²

The equation of the absolute function will be

f(x) = |x - 6| + 4

Then we have

f(x) = \left\{\begin{matrix}y=x^2 & 0\leq x < 3 \\\\y=-x+10 & 3 < x\leq 6 \\\\y=x+2 & 6\leq x \leq 10 \\\end{matrix}\right.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

4 0
2 years ago
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