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2 years ago

Events A and B are mutually exclusive. Also P(A) =0.2 and P(B) = 0.37. What is P(A or B)

Mathematics

1 answer:

Alchen [17]2 years ago

7 0

Answer:

0.074

Step-by-step explanation:

cause in probability when two events are exclusive we use multiplication rule

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Kyle divided two numbers in scientific notation using the interactive calculator and found a solution of 3.5E4. If the numerator

Maru [420]

Answer:

a=2, b=5

Step-by-step explanation:

Let

n -----> the denominator

we have

$3.5*10^4=\frac{7*10^9}{n}$

Solve for n

That means -----> isolate the variable n

Multiply by n both sides

$3.5*10^4(n)=7*10^9$

Divide by 3.5*10^4 both sides

$n=\frac{7*10^9}{3.5*10^4}=(\frac{7}{3.5})(\frac{10^9}{10^4})=2*10^5$

therefore

a=2, b=5

5 0

3 years ago

Read 2 more answers

What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

$B(x,y) = \left(3,-\frac{16}{3} \right)$

Which means that correct answer is C.

5 0

2 years ago

Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He want

aleksandrvk [35]

Answer:

<em>Scott will take 221 minutes to run 52 km</em>

Step-by-step explanation:

<u>Speed</u>

The speed of an object can be calculated with the formula:

$\displaystyle v=\frac{d}{t}$

Where d is the distance traveled and t is the time taken.

Scott can run d=20 km in 85 minutes. Thus, his speed is:

$\displaystyle v=\frac{20}{85}\ km/min$

Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:

$\displaystyle t=\frac{d}{v}$

Since the speed has been already determined:

$\displaystyle t=\frac{52}{\frac{20}{85}}$

Multiplying by the reciprocal of the denominator:

$\displaystyle t=52*\frac{85}{20}$

t = 221 min

Scott will take 221 minutes to run 52 km

4 0

2 years ago

Read 2 more answers

Find the cost of 20cm at 75 per m

zheka24 [161]

Answer:

20cm = 0.2 m

The cost

= 0.2 x 75

= $15

7 0

1 year ago

Read 2 more answers

The sum of two consecutive odd integers is -56. What are the integers

gulaghasi [49]

Answer:

integers is -15+253-36sumn

3 0

2 years ago