If P(A) = 0.7 P(B) = 0.6 and A and B are independent event, find P(A and B)

[tex]f(x) = {x}^{2} + 7 [/tex]

[tex]y = {x}^{2} + 7 [/tex]

Subtract the sides of the equation minus 7

[tex]y - 7 = {x}^{2} [/tex]

Take the square root of both sides of the equation

[tex]x = \sqrt{y - 7} [/tex]

So ;

[tex] {f}^{ - 1}(x) = \sqrt{x - 7} [/tex]

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And we're done.

Thanks for watching buddy good luck.

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Answer:

Angles 1, 3, 5, 7, 9, 11 are going to be 100 degrees

Angles 4, 2, 8, 6, 12, 10 are going to be 80 degrees.

Step-by-step explanation:

We know when there are 2 parallel lines we have vertical angles.

Answer:

12 hours

Step-by-step explanation:

So we know that Jim makes $5 an hour and was given a one time bonus of $50. Using the information given, we can make the expression:

5h + 50

to represent how much Jim makes in h hours.

Now we also know that Sarah makes $8 an hour and was given a one time bonus of $14. Using this information, we can make the expression:

8h + 14

to represent how much Sarah makes in h hours.

Now to find how many hours it will take for their paychecks to be the same, we have to set the two expressions equal to each other and solve for h:

8h + 14 = 5h + 50

Now solve for h. Subtract 5h from both sides.

3h + 14 = 50

Subtract 14 from both sides.

3h = 36

Divide both sides by 3.

h = 12

So it will take 12 hours for their paychecks to be the same.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

x = 6.5

Step-by-step explanation:

5(x−2)+3x−4= 38

5 times x, 5 times -2 =

5x - 10 + 3x - 4 = 38

Combine like terms

5x + 3x = 8x

8x - 10 - 4 = 38

Add 10

8x -10 +10 -4 = 38 +10 =

8x -4 = 48

Add 4

8x -4 +4 = 48 +4

8x = 52

Divide by 8

8x/8 = 52/8 =

x = 6.5

Answer:

[tex]Frozen\ Soup = 7550mL[/tex]

Step-by-step explanation:

Given

[tex]Soup = 9,350mL[/tex]

[tex]Packed = 1.8L[/tex]

Required

Determine the frozen soup

This is calculated as thus:

[tex]Frozen\ Soup = 9,350mL - 1.8L[/tex]

Convert 1.8L to mL

[tex]Frozen\ Soup = 9,350mL - 1.8 * 1000mL[/tex]

[tex]Frozen\ Soup = 9,350mL - 1,800mL[/tex]

[tex]Frozen\ Soup = 7550mL[/tex]

Answer:

ΔDEF= Isosceles Triangle

ΔJKL= Scalene Triangle

ΔTRI= Equilateral or Isosceles Triangle

Answer:

7

Step-by-step explanation:

x+4=11

- 4 .   -4

x=7

Answer:

x=5

is that what u wanted?

Answer:

The range is 30

Step-by-step explanation:

The range is the biggest number which is 95 subtracted from the smallest one 65 which is 30

Answer:

75.6

Step-by-step explanation:

75.64 rounded to the nearest 10th is 75.6.

The tenths place is 0.6, and since the next number is not larger than 5, the number is rounded to 75.6.

Answer:

75.6

Step-by-step explanation:

75.64

The 6 is in the tenths place.

Drop all digits to the right of the 6.

75.6

Since the leftmost digit you dropped is a 4, the 6 does not go up 1 to 7, so the answer is

75.6

Answer:

y = 2 x - 6

the second answer is

y + 6 = 2 (x - 0)

Step-by-step explanation:

you can withdraw 11 times before it reaches the minimum of $100

Answer:

5°F

Step-by-step explanation:

Given that the average is obtained from;

Average = sum of scores / number of scores

Average temperature = 19.8°F

Let the temperature of the fifth day be x

Hence;

19.8 = 32 + 30 + 22 + 10 + x/5

19.8 = 94 + x/5

x= (5×19.8) -94

x= 5°F

Answer:

B

Step-by-step explanation:

Mathematically, we shall be using the z-score here

Z-score = (x-mean)/SD

From the question, mean = 80 and SD = 4

So we want to get the option in the question that has a z-score of 1 or below

Let’s look at 75

80-75 = 5 ( this is clearly above 1 standard deviation of 4)

For 77;

80 -77 = 3

This is less than the standard deviation of 4, meaning it is within 1 standard deviation of the mean

Option B) is correct.

Step-by-step explanation:

Given :

Mean [tex](\mu)[/tex]  = 80

Standard Deviation [tex](\sigma)[/tex]  = 4

Calculation :

We have to find the score that would be 1 deviation from the mean. Which means, the interval [tex](\mu-\sigma, \mu+\sigma)[/tex]

[tex]\mu-\sigma = 80-4=76[/tex]

[tex]\mu+\sigma =80+4=84[/tex]

The interval is (76,84)

Therefore, option B) is correct.

For more information, refer the link given below

https://brainly.com/question/23907081?referrer=searchResults

Answer:

The domain is continuous and the weight y of x identical hardcover books

Step-by-step explanation:

Discrete means non continuous data. This is continuous and equal so the domain is continuous.

Also, precipitation each week can vary so that won't work. Eating carrots each day can also vary so that doesn't work. The cost of an item can vary almost every day! So that is not true.

Therefore it is the last one, because it is identical and all of the coordinates make (1,3).

Hope this helps! :)

Answer:

d b c

Step-by-step explanation:

fdfbwhgbcsjbcjbchsvbchwgchwvcdn

Answer: this is how you do it

Step-by-step explanation:

For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.

Answer:

4

Step-by-step explanation:

4=x

5x+7 =27

27=27

:(((

The equations that would guarantee that lines p and q are parallel are;

x = z

x + y = 180°

The image showing the lines p and q as well as the angles x, y and z can be found in the link at the end of this answer.

From the image given;

We see that a transverse line cuts across the two parallel lines p and q. Thus;

We can see that x and z are corresponding angles and as such, we can say that; x = z.

Secondly, we can see that y and z are supplementary angles because they form a straight line and sum of angles that form a straight is 180°.

Thus; y + z = 180°

Since x = z, then by substitution property of equality, we can say that;

x + y = 180°

Read more at; https://brainly.com/question/13128119

Answer:

Step-by-step explanation:

A and B

Answer:

yes

Step-by-step explanation:

Answer:

3rd one 1000 times greater

Step-by-step explanation:

first you make 10^9 into 1000000000 then you make 10^6 into 1000000 then you divide them both and you get 1000

Answer:

esxrdctfvgbyhunijmkhn;bygitvcrfydxtesjtfhctryrx6

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

just do 4-18 and u get the answer

Answer:

A

Step-by-step explanation: got it right on edge