what is the meaning of function

Answer:

Step-by-step explanation:

50in-3ft(12in/ft)

50in-36in

14in

Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

The value of c is 1/17.

It is a branch of mathematics that deals with the occurrence of a random event.

Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2

We have to find the value of c

Since f(x) represents the probability distribution x = 0, 1 ,2

So we have f(0)+f(1)+f(2)=1

c(0²+4)+c(1²+4)+c(2²+4)=1

4c+5c+8c=1

17c=1

Divide both sides by 17

c=1/17

Hence, the value of c is 1/17.

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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?

a.

1/3

b.

1/17

c.

1/2

d.

1/13

The Venn Diagram for these given sets is graphed at the end of the answer.

A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.

For this problem, we have that:

The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.

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Answer:

Step-by-step explanation:

The coordinates of the vectors are, respectively:

Vector A: P = (7, π / 4)

Vector B: P = (7, 3π/ 4)

Vector C: P = (7, 5π / 4)

Vector D: P = (7, 7π / 4)

In this question we have the need of representing four vectors described in the figure given. Each description must be done in polar form:

P = (r, θ)

Where:

Now we proceed to determine the coordinates for each vectors:

Vector A

P = (7, π / 4)

Vector B

P = (7, 3π/ 4)

Vector C

P = (7, 5π / 4)

Vector D

P = (7, 7π / 4)

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Answer:

x = 7

y = 8

Step-by-step explanation:

4y-4 = 28

4y = 32

y = 8

10x+65 = 135

10x = 70

x = 7

Answer:

Step-by-step explanation:

(4y-4)=28

4y=32

y=8

(10x+65)=135

10x=70

x=7

\(f_x(0,0)\) is the partial derivative of \(f\) with respect to \(x\) evaluated at the origin. By definition of derivative, this is the limit

\(\displaystyle f_x(0,0) = \lim_{x\to0} \frac{f(x,0) - f(0,0)}{x-0} = \lim_{x\to0} \frac{f(x,0)}x\)

We have by definition of \(f\),

\(f(x,0) = \dfrac{x^5}{x^4+0^4} = \dfrac{x^5}{x^4}\)

so

\(\displaystyle f_x(0,0) = \lim_{x\to0} \frac{\frac{x^5}{x^4}}x = \lim_{x\to0} \frac{x^5}{x^5} = \lim_{x\to0} 1 = \boxed{1}\)

The volume of the hemisphere with a diameter of 60.9 inches rounded to the nearest tenth is 59131.7 inches³.

Given that,

Diameter of a hemisphere = 60.9 inches

We have to find the volume of the hemisphere.

We know that, radius is half the measure of the diameter.

Radius of the hemisphere = 60.9 / 2 = 30.45 inches

Volume of a hemisphere is,

Volume = 2/3 π r³

Here r is the radius

Substituting,

Volume = 2/3 π (30.45)³

             = 59131.7 inches³

Hence the volume is 59131.7 inches³.

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Answer:

8

Step-by-step explanation:

Multiply both the numerator and denominator by 4

Answer:.

Step-by-step explanation:

The required two column proof is explained below.

A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.

The two column proof for the information is given as:

M is the midpoint of CD    (Given)

CD = CM + MD   (addition property of a line segment)

CM = MD  (definition of a midpoint)

So that;

5x – 2 = 3x + 2    (Definition of midpoint)#

Then,

5x - 3x = 2 + 2 (collecting like terms)

2x = 4

x = 2

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To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.

Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

Answer:

pog champ

Step-by-step explanation:

Answer:

to make it 21

Step-by-step explanation:

Answer:

area=400sq units

then

Area of square=l^2

√400=l

l=20 units

Answer:

so the answer to that question is A because you already did it correctly

Step-by-step explanation:

Answer:

D. Quadrant IV

On the coordinate plane, you would go to the right two points, and then down 6, leading to quadrant IV

Answer:

When the equation is written in the slope-intercept form (y=mx+b) we can find the y-intercept by looking at the equation. The value of b is the y-intercept. This is because the y-intercept is when the x value equals 0. When x = 0, mx = 0, so when x = 0, y = b.

Step-by-step explanation:

trust the process

y = 2.5x

I hope this helps

The required equation is y=2.5x.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Earning of app developer for 8 apps = $20.00

Earning of app developer for 1 app = $2.5

Earning of app developer for x app = $2.5x

Assume, earning of app developer for x app is y

So the equation,

Earning of app developer y=2.5x

The required equation is y=2.5x.

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The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.

Let the cost price of rice is R and cost price of sugar is S.

Case 1 :  total cost of 5 kg rice and 6 kg sugar is Rs. 940.

5R + 6S = 940 ...(1)

Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.

The new cost price of rice = R + 20% of R = 1.2R

The new cost price of sugar = S - 10% of S = 0.9S

So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.

Thus,

4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)

From equations (1) and (2) we have,

(5R + 6S)/(4.8R + 2.7R) = 940/627

R/S = 8/9

Hence, if the price of rice is 8 then the price of sugar is 9.

It is clear that the price of sugar is more than that of rice.

The percent cost by which cost of rice is less than sugar is:

(9 - 8)/ 9 (100) = 11 1/9%.

Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

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Answer:

11 17/24

Step-by-step explanation:

To find this out we have to first find out the least common denominator for 8 and 3 which would be 24, now we have to switch both denominators to 24 but also have to switch the numerators to how much we multiplied the denomintors by and then add. so we multiplied 8 by 3 to get it to 24 so we multiply the numerator 3 by 3 as well. and for the second fraction we multiply the denominator 3 by 8 to get 24 so we multiply the nuerator by 8 as well. so...

6 3/8+ 5 1/3= 6 9/24 + 5 8/24 = 11 17/24

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

Answer:

60, 61, 62

Step-by-step explanation:

Let's call our first integer n.

The other two, since they are consecutive, will be n+1, and n+2.

First number: n

Second number: n + 1

Third number: n + 2

The sum of these 3 will be:

\(n + (n+1) + (n+2)\\3n + 1 + 2\\3n + 3\)

We know that the sum, 3n+3, is equal to 183. Let's set these two equal to each other and solve the equation.

\(3n+3 = 183\)

Subtract 3 from both sides.

\(3n = 180\)

Divide both sides by 3.

\(n = 60\)

Now that we know n, we can find the values of all 3 integers.

First number, n:

n = 60

Second number, n+1:

n + 1 = 60 + 1 = 61

Third number, n + 2:

n + 2 = 60 + 2 = 62

Answer: 60, 61, 62

Answer:

Q1=19

Q3=38

IQR=19

Step-by-step explanation:

Given the sequence,

We can find the solution to the question below.

Explanation

1) The sequence converges.

2) This is because the limit of the sequence exists as n→∞.

We can find the limit below.

Answer: The limit of the sequence is 5

a) k must be 0.09 for the table to be a valid probability model. b) The probability that at least one waiter and one chef show up on any given day is 0.97. c) The probability that more chefs show up than waiters is 0.74. d) The probability that more than three staff show up on any given day is 0.84.

e) The expected total number of staff that will show up on any given day is 4.24. f) The probability that three waiters will show up on any given day is 0. g) The probability that two chefs will show up on any given day is 0.09. h) X and Y are not independent.

a) For this to be a valid probability model, the sum of all the entries in the table must be equal to 1. Therefore, we have:

k + 0.03 + 0.03 + 0.03 + 0.02 + 0.03 + 0.05 + 0.04 + 0.01 + 0.01 + 0.06 + 0.67 = 1

Simplifying, we get:

k + 0.91 = 1

Therefore, k = 0.09.

b) The probability that at least one waiter and at least one chef show up on any given day is equal to 1 minus the probability that no waiter or chef shows up. From the table, we see that the probability that no waiter or chef shows up is 0.03. Therefore, the probability that at least one waiter and at least one chef show up is 1 - 0.03 = 0.97.

c) To find the probability that more chefs show up than waiters on any given day, we need to sum up the probabilities of all the cells where the number of chefs is greater than the number of waiters. From the table, we see that there are 3 such cells:

When X = 0 and Y = 2 (probability = 0.03)

When X = 1 and Y = 3 (probability = 0.04)

When X = 2 and Y = 3 (probability = 0.67)

Adding up these probabilities, we get:

0.03 + 0.04 + 0.67 = 0.74

Therefore, the probability that more chefs show up than waiters on any given day is 0.74.

d) To find the probability that more than three total staff (waiters and chefs) will show up on any given day, we need to sum up the probabilities of all the cells where X + Y > 3. From the table, we see that there are 5 such cells:

When X = 0 and Y = 4 (probability = 0.02)

When X = 1 and Y = 3 (probability = 0.04)

When X = 1 and Y = 4 (probability = 0.05)

When X = 2 and Y = 2 (probability = 0.06)

When X = 2 and Y = 3 (probability = 0.67)

Adding up these probabilities, we get:

0.02 + 0.04 + 0.05 + 0.06 + 0.67 = 0.84

Therefore, the probability that more than three total staff (waiters and chefs) will show up on any given day is 0.84.

e) To find the expected total number of staff (waiters and chefs) that will show up on any given day, we need to multiply each value in the table by its corresponding number of staff (X + Y) and sum up the results. From the table, we have:

When X = 1 and Y = 0, the expected number of staff is 1.

When X = 1 and Y = 1, the expected number of staff is 2.

When X = 1 and Y = 2, the expected number of staff is 3.

When X = 1 and Y = 3, the expected number of staff is 4.

When X = 1 and Y = 4, the expected number of staff is 5.

When X = 2 and Y = 0, the expected number of staff is 2.

When X = 2 and Y = 1, the expected number of staff is 3.

When X = 2 and Y = 2, the expected number of staff is 4.

When X = 2 and Y = 3, the expected number of staff is 5.

When X = 2 and Y = 4, the expected number of staff is 6.

Multiplying each of these expected numbers by its corresponding probability, we get:

0.09(0) + 0.03(1) + 0.03(2) + 0.03(3) + 0.02(4) + 0.03(1) + 0.05(2) + 0.04(3) + 0.01(4) + 0.01(5) + 0.06(6) + 0.67(5) = 4.24

Therefore, the expected total number of staff (waiters and chefs) that will show up on any given day is 4.24.

f) To find the probability that three waiters will show up on any given day, we need to sum up the probabilities of all the cells where X = 3. From the table, we see that there are no such cells. Therefore, the probability that three waiters will show up on any given day is 0.

g) To find the probability that two chefs will show up on any given day, we need to sum up the probabilities of all the cells where Y = 2. From the table, we see that there are 2 such cells:

When X = 0 and Y = 2 (probability = 0.03)

When X = 2 and Y = 2 (probability = 0.06)

Adding up these probabilities, we get:

0.03 + 0.06 = 0.09

Therefore, the probability that two chefs will show up on any given day is 0.09.

h) X and Y are not independent, as the value of X affects the probabilities in the second column and the value of Y affects the probabilities in the first row. Therefore, the statement "X and Y are independent" is FALSE.

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The percent of the front page taken up by the prom story is 20%

From the question, we have the following parameters that can be used in our computation:

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

No, because a mean is the average.

Step-by-step explanation:

Consider the following example:

The set is:

19, 23, 11, 31

if you add all these up you get 84.

Then you divide by 4 and get 21. So, 21 is the mean but, when you look at the set of numbers, 21 is not there. So, the same goes for any number, a number can still be the mean even if it is not in the set.

The quadratic function is y = 2x^2+3x-4.

Given:

The quadratic function y = ax² + bx + c whose graph passes through the given points.(-1,-5), (1,1),(-2,-2)

(-1,-5) passes.

y = ax^2+bx+c

-5 = a(-1)^2+b*-1+c

-5 = a-b+c

(1,1) passes.

1 = a*1^2+b*1+c

1 = a+b+c

(-2,-2) passes.

-2 = a(-2)^2+b*-2+c

-2 = 4a-2b+c

on solving three equations

a = 2 , b = 3 and c = -4

The quadratic equation is y = 2x^2+3x-4.

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Answer:

x=90

y=148

Step-by-step explanation:

Since we know a line is 180 degrees, and we know that angle Q is 90, x must be a 90-degree angle as well.

With our given information we can add up the two given angles in the triangle which are 90 and 58

90+58=148

To find what R is, we must subtract 148 from 180 because all the angles in a triangle sum up to 180.

180-148=32

Now that we know that R is 32, because we know that a line is 180 degrees, we can subtract 32 from 180 to get our final answer for y as 148.

180-32=148

Answer:

The answer is 82.20.

Step-by-step explanation:

First you 68.50 x .20. Which equals 13.7. Then you add that to the total of the dinner. That is 68.50 + 13.7 = 82.20

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