If the relationship is proportional, what is the missing value from the table?

Answer:

Mean y = 19 ; SD y = 10

Step-by-step explanation:

Given that:

No of customers : __ 0 ____ 1 _____ 2 ___ 3

P(x) : ___________0.10 __ 0.20 __0.30 _0.40

Fuel cost =$1 (constant)

Amount paid per customer =$10

Number of customers = x

σx = 1 ; μx = 2

σ^2 = 1^2 = 1

Mean of Y

μy = E(Y)

= E(10x - 1)

= 10(Ex) - 1

E(x) = 2

= 10(2) - 1

= 20 - 1

= 19

σY = SD(y)

SD(10x - 1)

10*SD(x) - 1

SD(x) = 1

10(1) - 0

Note : SD of a constant = 0

10 - 0

= 10

The mean of Y is 19 and the standard deviation of Y is 10 and this can be determined by using the given data.

Given :

The mean of Y can be calculated as given below:

[tex]\rm \mu(Y)=E(Y)[/tex]

[tex]\rm \mu(Y)=E(10x - 1)[/tex]

[tex]\rm \mu(Y) = 10E(x) - 1[/tex]

According to the given data, the value of E(x) is 2. Substitute the value of E(x) in the above expression.

[tex]\rm \mu(Y) = 10(2) - 1[/tex]

[tex]\rm \mu(Y) = 19[/tex]

Now, the standard deviation of Y can be calculated as:

[tex]\rm \sigma_Y=SD(Y)[/tex]

[tex]\rm \sigma_Y=SD(10x-1)[/tex]

[tex]\rm \sigma_Y=10SD(x)-SD(1)[/tex]

The value of SD for a constant is zero.

[tex]\rm \sigma_Y=10(1)-0[/tex]

[tex]\rm \sigma_Y = 10[/tex]

For more information, refer to the link given below:

https://brainly.com/question/12402189

Answer:

Explained below

Step-by-step explanation:

A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.

Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.

Now, for example let's consider the number 5.

It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c

Now, the opposite of these fractions like we are told to check in the question results in;

1/5; 2/10; 4/20; -1/-5;

The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.

pretty sure its no, the number on the outside arent the same meaning both areas wont add up.

Answer:

10

Step-by-step explanation:

Answer:15

Step-by-step explanation: 7 and a half times 2 is 15

the answer to that question is 15.

Hey there!

• A.

–5 + 7 – 2 = ?

–5 + 7 = 2

2 – 2 = 0

Answer: 0 ☑️

• B.

–4 * 3 = ?

“Guide”

• Negative & Negative = Positive

• Positive & Positive = Positive

• Negative & Positive = Negative

• Positive & Negative = Negative

• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!

–4 * 3 = –12

Answer: –12 ☑️

• C.

3.5 + 4.5 = ?

5 + 5 = 10

• CARRY your 1

3 + 4 + 1 = ?

3 + 4 = 7

7 + 1 = ?

Answer: 8 ☑️

You basically had to do ORDER OF OPERATIONS / PEMDAS

(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

18 inches.

Step-by-step explanation:

Let x inches be the altitude of the triangle.

By Pythagoras Theorem,

[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2

108 + x^2 = 432

x^2 = 324

x = 18

So the altitude of the triangle is 18 inches.

Answer:

766m (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

x = 5, and y = 8

Step-by-step explanation:

You can solve this system by solving either of the equations for either x or y, and substituting that into the other.

Since the first equation is already defined for y, let's substitute that into the second equation:

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

4x - 15x = -20 - 35

-11x = -55

x = 5

We can then plug that into either of the original equations to find y:

y = 3x - 7

y = 3 * 5 - 7

y = 15 - 7

y = 8

We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:

4x - 5y = -20

4x - 5 * 8 = -20

4x - 40 = -20

4x = 20

x = 5

So we know the answer is correct.  x is equal to five, and y is equal to eight.

Hello!

[tex]\large\boxed{A = 66ft^{2}}[/tex]

Formula for the area of a rectangle:

A = b × h where:

b = base

h = height

We are given the base and height as 11 ft and 6 ft, so use the equation above to solve for the area:

A = 11ft × 6ft

A = 66ft²

Answer:

1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036

Step-by-step explanation:

Given :

p = 0.6

Sample size, n = 20

P(x = 0)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

1 - p = 1 - 0.6 = 0.4

P(x = 0) = 20C0 * 0.6^0 * 0.4^20

P(x = 0) = 1 * 1 * 1.099511627776E−8

P(x = 0) = 1.099 * 10^-8

2) Exactly 3;

P(x = 3) = 20C3 * 0.6^3 * 0.4^17

P(x = 3) = 1140 * 0.216 * 0.00000017179869184

P(x = 3) = 0.0000423037098786816

P(x = 3) = 4.23 * 10^-5

3.) More than 17

P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)

Using calculator :

P(x > 17) = 0.0036

Answer:

100(2)^h =6,400

Step-by-step explanation:

For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .

Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.

The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.

Answer:

<1 =126

Step-by-step explanation:

<2 = 126 since they are vertical angles

<1 = <2 since they are alternate interior angles

<1 =126

Answer:

120

Step-by-step explanation:

3 * 40 = 120

Answer:

first blank is x, then -7, then 11, then -11.

Step-by-step explanation:

Hope it helps!

Answer:

ST = 8 m

Step-by-step explanation:

Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.

PQ corresponds to ST.

Therefore, PQ is congruent to corresponding side ST, which is 8 m

ST = 8 m

Answer:

A-8.25  B-43.2 C-248.5

Step-by-step explanation:

Answer:

A-8.25

B-43.2

C-248.5

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

i just did it

Answer:

2

Step-by-step explanation:

Answer:

x = 14.1

Step-by-step explanation:

Reference angle = 62°

Side opposite to reference angle = x

Hypotenuse = 16

Applying trigonometric ratio, thus:

Sin 62 = x/16

Multiply both sides by 16

16*sin 62 = x

14.1271615 = x

x = 14.1 (nearest tenth)

Answer:

-10-6.(-3)

-10+18

=8

Step-by-step explanation:

Answer:

3x × 2y

Step-by-step explanation:

x*x*x= 3x

y*y= 2y

3x*2y

Answer:

A

Step-by-step explanation:

61 inches

Step-by-step explanation:

61inches is answer.. .. ..

Answer:

0.11 per yard.

Step-by-step explanation:

Answer:

a = 2

b = 1

c = -6

Step-by-step explanation:

Distribute and then combine like-terms.

Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10