Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.

Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The percentages associated with arriving home after 7 p.m. are:

Hence:

[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]

The probability of both arriving home after 7 p.m. and using bus is:

[tex]P(A \cap B) = 0.62(0.83)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]

0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

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Answer:

da_mn the struggle is real

Step-by-step explanation:

Given that:

f(x) = -2x²-2x+10

f(2) = -2(2)²-2(2)+10

= -2(2*2) - 4 + 10

= -2(4) - 4 + 10

= -8 - 4 + 10

= -12 + 10

= -2 Ans.

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Similar Question

Given f(x) = 1/2x - 5, find f^-1(x) a. f^-1 (x) = -2x+10 b. f^-1(x) = 2x+5 c. f^-1(x) = 2x-10 d. f^-1(x) = 2x+10...

https://brainly.com/question/11148895?referrer

Answer:

6lb

Step-by-step explanation:

9lb - 3lb = 6lb

11oz - 11oz = 0oz

Answer:

   mm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a circle = πr², plug in r= 3, we get:

                      A = π(3)²

                      A = 9π  or 28.26 in³(if the π is calulate as 3.14)

Answer:

-2x^2+3x+956

Step-by-step explanation:

If you want to do math easier, just look up symbolab.com and it will show you the right answers and how to do the problems.

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

took the test

if u look at it and and which ones have more then u will get ur answer

Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

In the given functions which are in the form of ax²+bx+c=0 such functions are considered as quadratic function.

The highest power of the variable x should be two.

f(x)=5² is not a quadratic function.

f(x) = 2/x is not a quadratic function.

f(x)=3(x-4)(x+3)

Let us simplify the function

f(x)=3(x²+3x-4x-12)

=3(x²-x-12)

f(x)=3x²-3x-36

So f(x)=3(x²+3x-4x-12) is a quadratic function.

Hence, Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

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Answer: D. f(x) + 2

Step-by-step explanation: if its not this then its B. f(x) - 2

Answer:

Solution

9

1

3

6

Step-by-step explanation:

Step-by-step explanation:

I hope this is your answer

Answer:

k;bjkbihpkbk

Step-by-step explanation:

Answer: C ≈ 94.25 in

Step-by-step explanation:

|9+40i| = |√9^2 + -40^2| = √1681 = 41

Answer: 41

Answer:

41

Step-by-step explanation:

We know that complex numbers are a combination of real and imaginary numbers

Real part is x and imaginary part y is multiplied by i, square root of -1

Modulus of x+iy =

Here instead of x and y are given 9 and 40

i.e. 9+40i

Hence to find modulus we square the coefficients add them and then find square root

|9+49i| =

By long division method we find that

|9+40i| =41

Answer:

-4

Step-by-step explanation:

32÷(-8)=-32÷8

           =-4

Answer:

Step-by-step explanation:

First, substitute the 2 given values into the expression.

a ( 10b - 2a )

5 ( 10(2) - 2(5) )

Simplify to the lowest terms possible, without distributing.

5(20-10)

Distribute 5 into each term.

100-50 or 20(5)-10(5)

=50

Answer:

C

Step-by-step explanation:

x=8

(8+40)= 48

2³=2×2×2=8

48:8=6

Answer:

8+6+4

Step-by-step explanation:

Answer:

Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.

Step-by-step explanation:

Answer:

3x3x7

Step-by-step explanation:

Dw worry ur not wrong but mathswatch sometimes doesnt want you to simplify it and want you to write it all out :P

Hope this helps! :)

The statement "the  function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.

A mathematical function is made up of terms (constants and variables) separated by mathematical operators having a dependent and independent variable. A mathematical equation is used to equate two expressions. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which y exists.

We have the following function -

g(x) = - x² + 14x + 39

We will plot the graph of the function to find the minimum value. We can see the graph is maximum when x = 7. Hence, the statement is false.

Therefore, the statement "the  function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.

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Answer:

(0,-1.6) and (1.3,0)

Step-by-step explanation:

Answer:

5.35

Step-by-step explanation:

5.3+5.4/2

10.7/2

5.35

Answer:    The slope is 1/8

Step-by-step explanation:

Full equation = ( y = 1/8x-1/8)

Step-by-step explanation:

Slope = y2-y1/x2-x1

= 2-1/17-9

=1/8

=0.125

Answer:81

Step-by-step explanation: it is skip by 3x so 21 x3 = 81

:)

Answer: x=-2

Step-by-step explanation:

Add three to both sides of the equation

4x-3=2x+7

4−3+3=2−7+3

simplify

4=2−4

4−2=2x-4−2

simplify

2=−4

Divide both sides of the equation by the same term

2=−4

2/2=−4/2

=−2

Answer: x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.x=5

Answer:

  RS = 80°

Step-by-step explanation:

The sum of the arcs of a circle is 360°.

  RS +ST +TR = 360°

  RS = 360° -ST -TR = 360° -130° -150°

  RS = 80°