Evaluate 3a+15+bc−6, when a=7, b=3, and c=15.<br><br> Enter your answer in the box.

If two events a and b are independent and you know that p(a) = 0.65, what is the value of p(a | b)?

Ksivusya [100]

Let's think of an example which would better help visualize this situation.

1) Someone exercises a lot so they can concentrate more on their homework (here running and concentration on homework are dependent events)

2) Someone exercises a lot because they wear a blue t-shirt (here, you can clearly see that wearing a blue shirt and exercising are not related. These events are independent).

Now concentrating on P(a | b) = Probability a occurred if b occurred.

It does not matter if b occurred (just like it didn't matter that the person wore a blue shirt which meant that they exercised) for the outcome a to occur.

Therefore, probability of P(a | b) = P(a)

P(a | b) = 0.65

Hope I helped :)

5 0

2 years ago

Assignment: Translating Functions Investigation

Leto [7]

Answer:

Part A)

1) The graph in the attached figure N 1

2) The coordinate rule is (x,y) -----> (x,y+10)

3) The translation of the function up 10 units means that the initial deposit is $60 instead of $50

Part B)

1) The graph in the attached figure N2

2) The coordinate rule is (x,y) -----> (x-10,y)

3) The translation of the function right 10 units means that the initial deposit is equal to $10

Part C)

1) In each translation, the slope is the same (m=5) are parallel lines

2) The vertical translation would be up 40 units

Step-by-step explanation:

we have

$f(x)=5x+50$

where

f(x) --> represents Jeremy's account balance

x ---> the time in years

Part A)

The translation of the function is up 10 units.

The rule of the translation is equal to

(x,y) -----> (x,y+10)

so

The new function will be

$f(x)=5x+50+10$

$f(x)=5x+60$

The graph in the attached figure N 1

The translation of the function up 10 units means that the initial deposit is $60 instead of $50

Part B)

The translation of the function is right 10 units.

The rule of the translation is equal to

(x,y) -----> (x-10,y)

so

we have

$f(x)=5x+60$ ----> function Part A

The new function will be

$f(x)=5(x-10)+60$

$f(x)=5x+10$

The graph in the attached figure N 2

The translation of the function right 10 units means that the initial deposit is equal to $10

Part C)

1. Look at the translations, what characteristic of the graph stayed the same in each translation?

In each translation, the slope is the same

The slope m is equal to m=5

Are parallel lines

2. Look at the original graph and the graph of the translation right 10 units. What vertical translation of the graph in Part B would put the graph back to its original position?

we have

$f(x)=5x+10$

The vertical translation would be up 40 units

The rule of the translation is equal to

(x,y) -----> (x,y+40)

so

The new function will be

$f(x)=5x+10+40$

$f(x)=5x+50$

3 0

3 years ago

< Last spring, Kai planted a total of 9 green peppers and tomatoes in the community garden.

ExtremeBDS [4]

Answer:

Step-by-step explanation:

Let x = the number of pepper plants, then (x + 6) = the number of tomato plants. Since the ratio of tomatoes to peppers is 5:2, we have the following:

5/2 = (x + 6)/x

2x + 12 = 5x

12 = 3x

4 = x = the number of pepper plants

3 0

2 years ago

Write equations for the horizontal and vertical lines passing through the point (8,5)

almond37 [142]

Answers:

Horizontal Line: y = 5

Vertical Line: x = 8

=================================================

Explanation:

All horizontal lines are of the form y = k, for some constant k. We want the horizontal line to pass through (8,5), meaning every point on this horizontal line must have y coordinate 5. Therefore, y = 5 is the equation of the horizontal line. Two such points on this line are (1, 5) and (8, 5). All that matters is the y coordinate is 5. The x coordinate can be anything you want. The slope of any horizontal line is 0.

Flipping things around, all vertical lines will have the x coordinate of each point be the same value. Draw a vertical line through (8,5) and note how each point has x coordinate of 8. Two such points are (8,1) and (8,5). Therefore, the equation of the vertical line is x = 8. The y coordinate can be any value you want. The slope of any vertical line is undefined. Unlike the horizontal line, we cannot write this equation in slope intercept form (namely because the slope isn't defined).

7 0

2 years ago

Student answers 90% of the questions on the math exam correctly if she answers 27 questions correctly how many questions are on

liubo4ka [24]

Answer:

30 questions

Step-by-step explanation:

if you cross multiply and divide like this,

$\frac{27}{x}= \frac{90}{100}$

27 x 100 = 2700

2700 / 90 = 30

you'll get ; 30 !

4 0

2 years ago

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Evaluate 3a+15+bc−6, when a=7, b=3, and c=15. Enter your answer in the box.