1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tems11 [23]
3 years ago
13

Q and R are independent events. P(Q) = 0.4; P(Q AND R) = 0.08. Find P(R).

Mathematics
1 answer:
algol [13]3 years ago
8 0
Because Q and R are independent, you have

\mathbb P(Q\cap R)=\mathbb P(Q)\times\mathbb P(R)
0.08=0.4\times\mathbb P(R)
\implies \mathbb P(R)=0.2
You might be interested in
Part A
labwork [276]

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>required</em> answers are:

i. Distance from Chenoa's <u>house</u> to the <em>coffee shop</em> = 6.0 miles

ii. D<u>istance</u> from <em>coffee shop</em> to Chenoa's <u>school</u> = 1.5 miles

iii. <em>Distance</em> from Chenoa's <u>house</u> to her <u>school</u> = 7.5 miles

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>alphabet</em> is referred to as the <u>unknown</u> whose <u>value</u> has to be <em>determined</em>.

In the given question, let the <u>distance</u> from the <em>coffee shop</em> to Chenoa's <u>school</u> be represented by y.

So that;

The <u>distance</u> from Chenoa's house to the <em>coffee shop</em> = (2y + 3) miles.

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school </u>= 5y.

This implies that:

(2y + 3) + y = 5y

3y + 3 = 5y

3 = 5y - 3y

2y = 3

y = \frac{3}{2}

  = 1.5

The <em>distance</em> from the <em>coffee shop</em> to Chenoa's <u>school</u> is 1.5 miles.

Thus;

(2y + 3) = ( 2(1.5) + 3)

            = 6

The <u>distance</u> from Chenoa's <u>house</u> to the <em>coffee shop</em> is 6 miles.

And,

5y = 5(1.5)

    = 7.5

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school</u> is 7.5 miles.

For more clarifications on algebraic expressions, visit: brainly.com/question/12792264

#SPJ1

5 0
2 years ago
Hi watts upp its me the CRACKHEAD who has a sister and doesnt wanna help her so she asks brainly to help her sister instead! Any
Ahat [919]

Answer:

Refexive I think

Step-by-step explanation:

5(3) = 3(5)

or

x(y) = y(x)

I found this

"Anything equals itself: this is the "reflexive" (reflecting onto itself) property. Also, it doesn't matter which order the equality is in; if x = y, then y = x: this is the "symmetric" (they match) property."

8 0
3 years ago
In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the<br> function with its graph
MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

f(x)=(x-2)^{2}+1

45)

The function g(x) is given by:

g(x)=f(x-1)

using f(x) we can find f(x-1)

g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

g(x)'=2(x-3)

2(x-3)=0

x=3

Puting it on g(x) we will get y value.

y=g(3)=(3-3)^{2}+1

y=g(3)=1

<u>Then, the minimum point of this function is (3,1) and it corresponds to (A)</u>

46)

Let's use the same method here.

g(x)=f(x+2)

g(x)=((x+2)-2)^{2}+1

g(x)=(x)^{2}+1

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2x

0=2x

x=0

Evaluatinf g(x) at this value of x we have:

g(0)=(x)^{2}+1

g(0)=1

<u>Then, the minimum point of this function is (0,1) and it corresponds to (C)</u>

47)

Let's use the same method here.

g(x)=f(x)+2

g(x)=(x-2)^{2}+1+2

g(x)=(x-2)^{2}+3

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2(x-2)

0=2(x-2)

x=2

Evaluatinf g(x) at this value of x we have:

g(2)=(2-2)^{2}+3

g(2)=3

<u>Then, the minimum point of this function is (2,3) and it corresponds to (B)</u>

48)

Let's use the same method here.

g(x)=f(x)-3

g(x)=(x-2)^{2}+1-3

g(x)=(x-2)^{2}-2

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2(x-2)

0=2(x-2)

x=2

Evaluatinf g(x) at this value of x we have:

g(2)=(2-2)^{2}-2

g(2)=-2

<u>Then, the minimum point of this function is (2,-2) and it corresponds to (D)</u>

<u />

I hope it helps you!

<u />

8 0
3 years ago
X+3+5x= <br> x plus three plus five x equal
choli [55]

Answer:

6x+3

Step-by-step explanation:

If you're just combining like terms this is the correct answer

5 0
3 years ago
Please help meeeee!!!!!!! complete the equation below. 5x+5x=10x____
saul85 [17]
5x5 - 10x = 0


5x5 - 10x = 5x • (x4 - 2)
5 0
3 years ago
Other questions:
  • I need help I neererrrrrtgggh
    8·2 answers
  • A partial cylinder lies on its side. The bases are a 90° sector of a circle. What is the exact volume of the partial cylinder?
    10·2 answers
  • A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have
    8·2 answers
  • What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.
    8·2 answers
  • What is 6y-3x=-18 written in slope-intercept form?
    5·1 answer
  • The business department at a university has 18 faculty members. Of them, 11 are in favor of the proposition that all MBA student
    5·1 answer
  • What is the perimeter of the triangle in simplest fo​
    9·1 answer
  • Solve the following system of equations:<br><br> x − 2y = 14<br> x + 3y = 9
    12·2 answers
  • Explain why the formula for sample variance is different from the formula for population variance. Why is it inappropriate to us
    14·1 answer
  • (6th grade math)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!