Which of the following is a valid probability distribution?

The composition of the function and its inverse function is always one. Then the correct option is C.

Suppose that the given function will be

f: X → Y

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

 f⁻¹: Y → X

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

(and vice versa).

It simply means that the inverse of 'f' is a reverse operator, that takes back the effect of 'f'

Suppose that f and g are functions that are inverse of each other.

When f is composed of g or vice versa. Then the composition will be

We know that the composition of the function and its inverse function is always one. Then we get

When f is composed of g or vice versa. Then the composition will be 1.

Thus, the correct option is C.

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Answer:

c

Step-by-step explanation:

vertically opposite angles are always equal

here, the angle with the measure 52 degree and angle c are vertically opposite angles

so angle with the measure 52 degree = angle c

angle c equals to 52 degree

Answer:

Step-by-step explanation:

Answer:

maybe option 2 is the correct answer

Answer:

1 and 3/8 or C

Step-by-step explanation:

the longer pencil is 5 and 2/8 and the length of the shorter pencil is 3 and 7/8

5 2/8 - 3 7/8= 11/8 or 1 and 3/8

I hope this helps!!!

Step-by-step explanation:

the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :

a1 = 7

a2 = a1 + 7 = 7+7 = 14

a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21

...

an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7

the sum of an arithmetic sequence is

n/2 × (2a1 + (n - 1)×d)

with a1 being the first term (in our case 7).

d being the common difference from term to term (in our case 7).

how many terms (what is n) do we need to add ?

we need to find n, where the sequence reaches 200.

200 = n×7

n = 200/7 = 28.57142857...

so, with n = 29 we would get a number higher than 200.

so, n=28 gives us the last number divisible by 7 that is smaller than 200 (28×7 = 196).

the sum of all positive integers below 200 that are divisible by 7 is then

28/2 × (2×7 + 27×7) = 14 × 29×7 = 2,842

Answer:

0.04

Step-by-step explanation:

The sensors made by Breaker's have a 4% defect rate

Answer:

▪︎ Domain: all real numbers (x can be any number)

▪︎ Range: y <= 0 (y can never become greater than 0 bc the vertex of this function (highest point) is (0,0))

Answer:The answer iis 1810.3cm^2

Step-by-step explanation:

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{12 \: cm}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the sphere is 12 cm. We have been asked to find or calculate the surface area of the sphere.

To calculate the surface area of the sphere, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(12 \: cm)^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(144 \: cm^2)[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(452.16 \: cm^2)[/tex]

[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 1809 \: cm^2}[/tex]

Therefore :-

[tex]\\[/tex]

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Answer:

1 4979/9999

Step-by-step explanation:

1.497949794979....

= 1 4979/9999

Answer: Mean: 10.5, Median: 9 Mode: 8 Range: 7

Step-by-step explanation  

mean put the numbers in order, so 8,8,8,10,14,15 the mean is adding all numbers together and dividing by the number so 8 + 8 + 8 + 10 + 14 + 15 divided by 6 is 10.5,

median is middle so 9 since theres two middle numbers u add them both and then divide by 2

mode is the most so its 8 since 8 is there 3 times

range is the highest number and lowest number and u subtract them so 15 - 8 = 7

sorry if this is long but the answers are at the top

Answer:

Below in bold.

Step-by-step explanation:

Mean = ( 8 + 10 + 8 + 14 + 8 + 15) /  6

=  10.5.

Arrange in ascending order to find the median:

8 8 8 10 14 15

Median = mean of the middle 2 numbers

= (8 + 10)/2

= 9.

Mode = most occurring number = 8.

Range = greatest - least = 15 - 8 = 7.

Answer: m<AOB is 60 degrees.

Step-by-step explanation: If BCD is 30 degrees, it intercepts the arc BA, and therefore, any angle that intercepts an arc is half of the arc it intercepts. Thus, AOB is 60 degrees.

Answer:

lol

Step-by-step explanation:

lol

Answer:

Step-by-step explanation:

Q1

Q2

Answer:mbvcdhfguh

Step-by-step explanation:kvghjve5yr

65.6

First find the hypotenuse:

(hyp)²=(opp)²+(adj)² theo. of pyth.

(hyp)²=(11)²+(5)² subt.

(hyp)²=121+25 calc.

√(hyp)²=√146

hyp=12.08cm

sinx = 11/12.08

x=sin-¹(11/12.08)

x=65.6°

You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.

Answer:

 Transitive Property of Equality

Step-by-step explanation:

Answer:

c. 22

Step-by-step explanation:

Let x = Tata's age and y = Kaka's age.

x - 10 = y

x+3 + y+3 = 40

Now, we can substitute in x - 10 for y.

x + 3 + (x - 10) + 3 = 40

so 2x = 44

x = 22

Therefore, Tata's current age is 22.

1) 7 = 7.0

2) 23 = 23.0

3) 1.562 = 1.6

Answer:

1) round off 7 to the nearest 10 is 10

2) round off 23 to the nearest 10 is 20

3)round off 1.562 to the nearest 10 is1.6

step by step explanation :

any whole number that is 5 and more can be rounded off to 10 e.g 5, 6 ,7 but numbers that are less than 5 can't be rounded off to 10 so it's becomes 0 e.g 4,2,3

example : round off 12 to the nearest ten

the answer is 10

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

Explanation:

There are 3 red out of 9 total

The probability of picking red at random is 3/9 = 1/3

If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4

Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.

Now multiply the fractions mentioned:

(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12

If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.

Side note: 1/12 = 0.0833 = 8.33% approximately

Step-by-step explanation:

mean value : the sum of the measurements of all 10 plants divided by 10 (the number of measurements).

A)

since the 2 measurement errors are compensating each other in the sum of measurements (-5 cm vs. +5 cm), the sum stays the same, the number of measurements stays the same (10), so the mean value stays the same (72 cm).

B)

the mean absolute deviation was the mean value of the absolute values of the differences of each measurement to the plant measurements.

since the mean value stayed the same, so did the difference of the 8 originally correct measurements to that mean value.

the only change is with the 2 corrected measurements.

the original (but wrong) measurement of 65 had a difference of 7 (to 72).

and now it is only 2 (70 to 72).

and the other one had a difference of 6 (72 to 78).

and now it is only 1 (73 to 72).

so, the sum of all the differences decreased by (7-2) + (6-1) = 5 + 5 = 10.

we had originally a mean absolute deviation of 8.5. the sum of all 10 original differences was therefore 8.5×10 = 85.

now this sum went down to 85-10 = 75.

and the new mean absolute deviation is 75/10 = 7.5.

You're looking for the equation of the line through the two yellow points, whose coordinates are (4, 0) and (8, 9).

Compute the slope:

(9 - 0) / (8 - 4) = 9/4

Using the point-slope formula, the equation of the line is

y - 0 = 9/4 (x - 4)

or

y = 9x/4 - 9

Answer:

y=-1/3x

Step-by-step explanation:

if it’s going down by one there should be one on top on since it’s going over by 3 it should be 3 on the bottom

[tex]5(4x - 4) = 5(3x + 3) \\ \cancel5(4x - 4) = \cancel5(3x + 3) \\ (4x - 4) = (3x + 3) \\ 4x - 3x = 4 + 3 \\ x = 7[/tex]

Put the value of X in equation:-

LHS:-

[tex]5(4x - 4) = 5(4(7) - 4) \\ 5(28 - 4) \\ 5(24) = 120[/tex]

RHS:-

[tex]5(3x + 3) = 5(3(7) + 3) \\ 5(21 + 3) \\ 5(24) = 120[/tex]

LHS= RHS

Hence proved

Answer:

x = 7

Step-by-step explanation:

Divide by 5 on each side :

Add 4 on each side :

Subtract 3x from each side :

Answer:

Step-by-step explanation:

Find the value of x if the perimeter is 20

20 = X + 4X - 6 + X + 8

20 + 6 - 8 = 6X

18 = 6X

x = 18 : 6

x = 3

-----------------

check

20 = 3 + 3 * 4 - 6 + 3 + 8

20 = 20

the answer is good

Answer:

Value of x is 3

Step-by-step explanation:

Given perimeter of figure = 20

x + (x+8) + (4x-6) = 20

x + x + 8 + 4x - 6 = 20

6x + 2 = 20

6x = 20 - 2

6x = 18

x = 18 / 6

x = 3

Answer:

Y=p/9

Step-by-step explanation:

Can u see p = 9y?

But there is no option of p = 9y

So try to work a bit on the formula to y = p/9

The area of the figure is the amount of space on it, and the calculated area is 48.6 square feet

The figure is a triangle with the following parameters:

Base = 20

Height = 4.86

The area of a triangle is:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * 20 * 4.86

Evaluate

Area = 48.6

Hence, the calculated area is 48.6 square feet

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Answer:

I'd say 11 but could also be 30

Answer:

2x to the 4th power

Step-by-step explanation:

Hope this helps

Answer:

D. 12.

Step-by-step explanation:

As I is the centroid G is the midpoint of CE, so

2x + 5 = 5x - 4

5+4 = 5x - 2x

3x = 9

x = 3.

x + 5 =  2/3 * CH   (Properties of the centroid of a triangle).

So as x = 3

2/3 CH = 3 + 5

CH = 8 * 3/2

CH = 12.

Answer:

[tex]\frac{6}{k-6}[/tex]

Step-by-step explanation:

First, we can factor all of the following equations to turn that weird, huge looking thing into [tex]\frac{(k+6)(k-6)}{(k-6)(k-10)}[/tex] ÷ [tex]\frac{(k-6)^2}{k(k-6)}[/tex] × [tex]\frac{6(k-10)}{k(k + 6)}[/tex]. We know that division is simply multiplication by the reciprocal, so that whole equation will turn into [tex]\frac{(k+6)(k-6)}{(k-6)(k-10)}[/tex] × [tex]\frac{k(k-6)}{(k-6)^2}[/tex] × [tex]\frac{6(k-10)}{k(k+6)}[/tex]. Now we can cancel out some values if they are both in the numerator and denominator, which will turn that still huge looking thing into [tex]\frac{6}{k-6}[/tex] which is our final answer, as it cannot be simplified further.

Hope this helped! :)