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2 years ago

A and B are independent events. Use the following probabilities to answer the question. Round to 4 decimal places.

Mathematics

2 answers:

ira [324]2 years ago

6 0

Step-by-step explanation:

since p(a) and p(b) are independent events

p(a).p(b)= p(a and b)

0.32×p(b)=0.09

p(b)=0.09÷0.32

p(b)=0.28

pychu [463]2 years ago

4 0

Answer:

.2813

Step-by-step explanation:

If two events are independent that means that

A*B= A and B

let p(b)= x

.09=.32*x

x= .28125

Round this to

.2813

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OOOO

lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

$x^4+95x^2 -500=0$

Substituting $x^2=a,$ given bi-quadratic equation reduces in the form of following quadratic equation:

$a^2 +95a -500=0\\$

Let us factorize the above quadratic equation:

$a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\$

Since square root of a negative number cannot be found, so:

$x \neq \pm \sqrt{-100}\\$

$CASE\: (2)\:\\When\: a =5 \implies x^2 =5\\\therefore x=\pm \sqrt{5}\\$

3 0

2 years ago

Which value is equivalent to 5 + 4 x 2? A) 11 B) 13 C) 18 D) 22

Gnom [1K]

4 * 2 = 8
8 + 5 = 13
B, is the correct answer

3 0

2 years ago

Read 2 more answers

The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.

topjm [15]

- Two angles that are complements of each other add to equal 90 degrees (they are complementary angles).
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.

To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.

90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x

If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.

4x + 25
4(13) + 25
52 + 25
77

Answer:
x = 13
m∠x = 77°

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2 years ago

What errors are shown here? Check all that apply.

Inessa05 [86]

Answer:

-The arrows should be a length of 6

-The arrows should point in the negative direction

-The arrows should start at zero

Step-by-step explanation:

Hope this helps!

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3 years ago

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Keli is buying pajamas for her five closest friends. Using the graph shown below, how much money will it cost her if she decides

Oksi-84 [34.3K]

Answer:

Your answer is B

Step-by-step explanation:

Because if they are already $60 and she wants one more it would be $75

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