A and B are independent events. P(A) = 0.80 and P(B) = 0.10.
What is P(A and B)?

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Answer:

  J. 2085

Step-by-step explanation:

Fill in the desired value for y and solve for x.

  1500 = 50(1.05^x)

  30 = 1.05^x . . . . . . . divide by 50

  log(30) = x·log(1.05) . . . . . take logarithms

  x = log(30)/log(1.05) ≈ 69.71

Since x represents years after December 2015, x = 69.7 will be some time in mid 2085.

Answer:

Step-by-step explanation:

Answer:

look at the domain, where the line is on the x-axis

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Computing Tv(X, X + a ) for any a∈(0,1)

Given that :  X∼Ber(0.5)

∴ The probability mass function

    P(X = 1 ) = 0.5

    P(X = 0) = ( 1 - 0.5 )

and expectation  E[X] = 0.5

hence ; TV ( X, X + a ) = 1

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]\int _{2.2}^{+\infty \:}\frac{10.648}{x^2}dx = 10.648 \int _{2.2}^{\infty \:}\frac{dx}{x^2}[/tex]

[tex] = - \frac{10.648}{x} | _{2.2}^{ \infty} = 4.84[/tex]

Answer:

180-66

114

hope it helps mark as brainlist

Answer:

(a)

Mean

[tex]\bar x_1 = 31.375[/tex]

[tex]\bar x_2 = 41.75[/tex]

[tex]\bar x_3 = 53.00[/tex]

Standard deviation

[tex]\sigma_1 = 8.73[/tex]

[tex]\sigma_2 = 7.65[/tex]

[tex]\sigma_3 = 6.04[/tex]

(b) Yes, there is a difference in the mean

Step-by-step explanation:

Solving (a): The mean and standard deviation of each commercial

This is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

For clothes:

[tex]\bar x_1 = \frac{43+24+42+35+28+31+17+31}{8}[/tex]

[tex]\bar x_1 = \frac{251}{8}[/tex]

[tex]\bar x_1 = 31.375[/tex]

For food:

[tex]\bar x_2 = \frac{30+38+46+54+47+42+34+43}{8}[/tex]

[tex]\bar x_2 = \frac{334}{8}[/tex]

[tex]\bar x_2 = 41.75[/tex]

For toys:

[tex]\bar x_3 = \frac{52+58+43+49+63+53+48+58}{8}[/tex]

[tex]\bar x_3 = \frac{424}{8}[/tex]

[tex]\bar x_3 = 53.00[/tex]

The sample standard deviation is:

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]

For clothes:

[tex]\sigma_1 = \sqrt{\frac{(43 - 31.375)^2 +.............+(31 - 31.375)^2}{8-1}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{533.875}{7}[/tex]

[tex]\sigma_1 = \sqrt{76.2678571429}[/tex]

[tex]\sigma_1 = 8.73[/tex]

For food:

[tex]\sigma_2 = \sqrt{\frac{(30 - 41.75)^2 +............+(43 - 41.75)^2}{8-1}}[/tex]

[tex]\sigma_2 = \sqrt{\frac{409.5}{7}}[/tex]

[tex]\sigma_2 = \sqrt{58.5}[/tex]

[tex]\sigma_2 = 7.65[/tex]

For toys:

[tex]\sigma_3 = \sqrt{\frac{(52-53.00)^2+...................+(58-53.00)^2}{8}}[/tex]

[tex]\sigma_3 = \sqrt{\frac{292}{8}}[/tex]

[tex]\sigma_3 = \sqrt{36.5}[/tex]

[tex]\sigma_3 = 6.04[/tex]

Solving (b): Difference in mean in the commercials;

In (a), we have:

[tex]\bar x_1 = 31.375[/tex]

[tex]\bar x_2 = 41.75[/tex]

[tex]\bar x_3 = 53.00[/tex]

[tex]\bar x_1 \ne \bar x_2 \ne \bar x_3[/tex]

Hence, there is a difference in their means

Answer:

A is is correct since the interquatile or a is 15 since 15 plus 15 equals 30 and 20 plus 20 equals 40

B is incorrect since the interquare are not both 30

C is incorrect since both interquatiles are wrong

D is incorrect since the standrard devations are off

Answer:

16050, 31.03

Step-by-step explanation:

15000x1.07 (adds 7% tax)=16050

29x1.07(adds 7% tax to price)=31.03

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Answer:

  (b)  y=2x^3

Step-by-step explanation:

The function y=2x^3 is an example of the parent function y=x^3 being vertically scaled by a factor of 2. As such, it is not the parent function.

_____

Additional comment

A parent function is one that has not been translated or scaled in any way. One could argue that the parent function of the form y=constant is y=1, so that the function y=1/2 has been scaled by a factor of 1/2. In this problem, we recognize the parent function y=x^3 has clearly been scaled to get y=2x^3, so the latter is not an example of a parent function.

If this is a "check all that apply" question, then y=1/2 is another reasonable answer.

Answer:(b)  y=2x^3

Step-by-step explanation:

Answer:

21 times 660 and then you will get the answer

Answer:

x=12 mile/hour(the speed of the boat)

y=6 mile/hour(the speed of the current)

Step-by-step explanation:

According to the Question,

let, x be the speed of the boat in miles per hour and y be the speed of the current in miles per hour.

x+y=18 ---- Equation 1

x-y=6 ---- Equation 2

On Adding both above Equations We get,

2x=24  ⇔ x=12 mile/hour(the speed of the boat)

& x+y=18 put Value of x=12 we get  ⇔ y=6 mile/hour(the speed of the current)

Answer:

C. 90√3

Step-by-step explanation:

5√2 . 9√6 = 45√12 = 45×2√3

= 90√3

The simplified form is 90√3.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Given expression is, 5√2×9√6

                               =5×9×√(2×6)

                               =45×√12

                               =45×2√3

                               =90√3

Hence, the simplified form is 90√3 .

To learn more on multiplication click:

https://brainly.com/question/5992872

#SPJ2

Answer:

Step-by-step explanation:

1 . Sphere :

    [tex]Surface \ Area = 4\pi r^2\\\\ Volume = \frac{4}{3} \pi r^3[/tex]

  Variable is ' r '

  Others Constants.

2. Cone :

   [tex]Surface \ Area = \p r^2 + \pi rs[/tex]          [tex][ \ s = \sqrt { r^2 + h^2 } \ , r = base \ radius, h = height \ ][/tex]

    [tex]Volume = \frac{1}{3} \pi r^2 h[/tex]

   Variables are ' r ' and ' h '

   Others constants.

3. Cuboid ( Rectangular Prism )

   [tex]Surface \ Area = 2 ((l\times b) + ( b \times h) + ( l \times h)) \\\\Volume = l \times \ b \times \ h[/tex]

   Variables : l , b , h

   Constant is 2

4.  Cylinder

     [tex]Surface \ Area = 2 \pi r h + 2 \pi r^2 \\\\Volume = \pi r^2 h[/tex]

    Variables : ' r  ' and ' h '

   Others constants..

Answer:

shapes. cuboid. cube. cylinder. prism. sphere. pyramid. rightcircularcone. volumeformula. l×w×h. v=a . 3. v=πr . 2. h. v=b×h. v=( 3. 4)πr . 3. v=( 3. 1)×h×b. v=( 3. 1)πr . 2. h. variables. l=length,w=width,h=height. a=side. r=radius,h=height. b=base,h=height. r=radiusofthesphere. b=areaofthebase,h=heightofthepyramid. r=radiusofthecircularbase,h=height

Step-by-step explanation:

Given:

Line A goes through (0,y) and (-2,0).

Line B goes through (1,2) and (3,10).

To find:

The value of y for which the system of given linear equation (equation of line A and line B) has no solutions.

Solution:

Two linear equation has no solutions if they are parallel line.

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We know that the slopes of two parallel lines are the same.

So, the given system of given linear equation has no solutions if

Slope of line A = Slope of line B

[tex]\dfrac{0-y}{-2-0}=\dfrac{10-2}{3-1}[/tex]

[tex]\dfrac{-y}{-2}=\dfrac{8}{2}[/tex]

[tex]\dfrac{y}{2}=4[/tex]

Multiply both sides by 2.

[tex]\dfrac{y}{2}\times 2=4\times 2[/tex]

[tex]y=8[/tex]

Therefore, the required value of y is 8.

Answer:

a=1, b=9 and c= 5

Step-by-step explanation:

9/11 divided by 5/11

= 9/11 * 11/5

11 gets cancelled

=9/5

it can also be written as 1* 9/5

Hence here a=1, b=9 and c= 5  

Please mark me as brainliest.

Answer:

This means the average amount of time is 48 minutes but many people will do it in 45 to 51

Hope This Helps!!!

Answer:

x=-2, y=3

Step-by-step explanation:

make it easy first, solve for x in the second equation: x= -5+y.

then sub that in for the other x: 2(-5+y)+y= -1

now combine like terms: -10+3y= -1

solve for y: 3y=9, y= 3

then replace y for your second equation: x-3= -5

solve for x= -5+3.... so then its -2

check by replacing all variables with your new solutions:

2(-2), which is -4+3 does equal -1

(-2) -3 does equal -5.

your answers are x=-2, y=3

Answer:

8.5

Step-by-step explanation:

Answer:

if I am understood your question correctly, X would be 84/29

Step-by-step explanation:

Answer:

i guess its 1...

Step-by-step explanation:

Answer:

79 numbers

Step-by-step explanation:

39 x 39 = 1521 ( Find the square of 39)

40 x 40 = 1600 (Find the square of 40)

1600 - 1521 = 79 ( Finding the difference of the two squares)

Answer:

6.667

Step-by-step explanation:

I just did the calculations

Answer:

[tex]y - 0= \frac{ - 1}{5}( x + 15)[/tex]

Answer:

(8, 17)

Step-by-step explanation:

y= 3x -7 -----(1)

y= 2x +1 -----(2)

Substitute (1) into (2):

3x -7= 2x +1

Being x terms to one side, constant to the other:

3x -2x= 7 +1

x= 8

Substitute x= 8 into (2):

y= 2(8) +1

y= 16 +1

y= 17

∴ The solution is (8, 17).

Answer:

The monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.

Step-by-step explanation:

Since there is a student loan of 15,000 at a fixed APR of 9% for 25 years, to calculate the monthly payment, determine the tiaras amount paid over the term of the loan, and determine, of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest, the following calculations must be performed:

((15,000 x 0.09) x 25) + 15,000 = X

33,750 + 15,000 = X

48,750 = X

48,750 / (25x12) = X

48,750 / 300 = X

162.5 = X

48,750 = 100

33,750 = X

33,750 x 100 / 48,750 = X

69.23 = X

Therefore, the monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.

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Answer:

  0, 3, 3, -6, -3

Step-by-step explanation:

Maybe you want to find f(0) in each case. Put 0 where x is, and do the arithmetic.

  f(0) = |0| = 0

  f(0) = |0| +3 = 3

  f(0) = |0 +3| = 3

  f(0) = |0| -6 = -6

  f(0) = |0 +3| -6 = -3

Answer:

-27648

Step-by-step explanation:

In this problem, we are looking for the function of g in terms of the function f. Simply put, we just replace the variable x in the function g with f(-4).

Step 1, writing g(f(-4)):

[tex]g(f(-4))=-12(f(x))^2[/tex]

Great! Let us substitute f(x) with the given expression.

Step 2, substituting and simplifying:

[tex]\\g(f(-4))=-12(x^2-8x)^2\\g(f(-4))=-12((-4)^2-8*(-4))^2\\g(f(-4))=-12(16+32)^2\\g(f(-4))=-12*2304\\g(f(-4))=-27648[/tex]

g(f(-4) is [tex]\fbox{-27648}[/tex].

I hope this helps! Let me know if you have any questions :)