A plumber has a fixed call out rate of $80 and has an hourly rate of $60

Using probability concepts, it is found that:

a) The missing value is 0.04.

b) The mean is of 0.37.

The distribution is given by:

[tex]P(X = 0) = 0.76[/tex]

[tex]P(X = 1) = 0.15[/tex]

[tex]P(X = 2) = 0.05[/tex]

[tex]P(X = 3) = x[/tex]

Item a:

The sum of all the probabilities has to be 1, that is:

[tex]\sum_{i = 0}^{3} P(X = i) = 1[/tex]

Thus:

[tex]0.76 + 0.15 + 0.05 + x = 1[/tex]

[tex]0.96 + x = 1[/tex]

[tex]x = 0.04[/tex]

The missing value is 0.04.

Item b:

The mean is given by the sum of each outcome multiplied by it's probability, thus:

[tex]E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37[/tex]

The mean is of 0.37.

A similar problem is given at https://brainly.com/question/20709747

Step-by-step explanation:

264537270.28

ok..... oddly..

Answer: 5/11

Step-by-step explanation:

Answer:

26200

Step-by-step explanation:

exactly 262200

Answer:

Step-by-step explanation:

x = 5

Answer:

x=5 and -17/4

Step-by-step explanation:

The two equations for 丨4x - 1丨= 19 is

4x-1=19

and

4x-1=-19

So for 4x-1=19

4x=20

x=5

4x-1=-18

4x=-17

x=17/4

Hope this helps!

Answer:

The second line.

Step-by-step explanation:

The line starts off at 0 and goes up to 0.8.

As you can see it goes up .3 more.

.8 + .3 = 1.1

just as 8 + 3 = 11 but with decimals.

Answer:

Coordinates A and B: (1, 0) and (3, 0)

Coordinates of P: (0, 3)

Coordinates of Q: (2, -1)

Step-by-step explanation:

You're pretty much given the x-intercepts from the original equation.

y = (x - 1)(x - 3). So to get the x-intercepts (points A and B), y has to equal 0. So,

0 = (x - 1)(x - 3).

and y = 0 when x equals 1 and 3. Because anything multiplied by 0 equals 0. So substituting 1 for the value of x, for example, we get:

0 = (1 - 1)(1 - 3)

0 = 0 * (-2)

So there are your x-intercepts, points A and B.

Now,

Expand the brackets of the equation.

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

y = x^2  -  4x  + 3

You get the y-intercept (point P) by substituting 0 for the value of x. Doing so gives:

y = 0^2 - 4*0 + 3

y = 0 - 0 + 3

y = 3

So, we have our y-intercept (0, 3).

Point Q, the x-coordinate of the vertex is calculated with the equation -b/2a

Taking our expanded equation: x^2 - 4x + 3

which is of the form ax^2 + bx + c

So we find the values of a, b and c and input the values into the equation

a = 1

b = -4

c = 3

So, inputting these into the vertex equation, gives:

-(-4) / 2 * 1

4 / 2

2

So we have the x-coordinate of the vertex. Now that we know that, we can just substitute it into the expanded equation to give the y-coordinate:

y = 2^2 - 4*2 + 3

y = 4 - 8 + 3

y = -1

So there's our y-coordinate, and now we have both the x and y coordinate for the vertex, point Q. (2, -1).

Answer: 250

Step-by-step explanation:

i took a test

The two equal angles are each 36°.

The third angle is 108°.

Answer:

17+21+14+17+12+15+16 / 7 and the answer is 16

Step-by-step explanation:

STEP N0#1 add all the data/ numbers together

STEP NO#2 divide the sum you got by the number of data points/ number

the number you get after dividing is the mean

Pokyaa is 31 years, 6 months, while Afriyie

is 20 years, 6 months

The age of Pokyaa's such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's assume that the age of Pokyaa is P while the age of Afriyie is A.

As per the given,

Pokyaa is 11 years older than Afriyie

Therefore,  P = 11 + A

Altogether P + A = 52

Substitute,A = 52 - P  into P = 11 + A

P = 11 + (52 - P)

P = 11 + 52 - P

P + P = 63

2P = 63

P = 32.5 ⇒ 31 years and 6 months.

Hence "The age of Pokyaa such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

Answer: 3.75

Step-by-step explanation:

5/2=2.5

1 1/2 = 1.5

1.5*2.5=3.75

What kind of question is this? To say you are in college...

From the combined standard deviation, with the mean, and standard

deviation of the data sets, the required variance can be found.

Reasons:

The given data information are;

Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0

Standard deviation of the the first set, σ₁ = 4.0

Sample size of second observation, n₂ = 20

Mean of second sample, [tex]\overline x_2[/tex] = 10

Standard deviation of the combined set, σ₁₂ = 3.0

Sample size of combined set of observation, n₂ = 35

Solution:

The number of elements in the second sample, n₁ = 35 - 20 = 15

The standard deviation of the combined set is given by the formula;

[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]

Where;

[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]

Therefore;

[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]

d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]

[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]

d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]

[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]

Therefore;

[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]

Solving gives;

[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]

[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]

Learn more here:

https://brainly.com/question/16869429

Answer: The last option is the answer

3(3 root 3)-3(3 root 2)

Answer: The Ferris wheel’s speed in feet per hour.

Step-by-step explanation:

Answer:

the answer based on the information provided is c + 8

Step-by-step explanation:

8 added to C is c + 8, since they are unlike terms

Answer: 21 is the answer

Answer:

Step-by-step explanation:

If both lines are open the rate of filling is:

Since tank is 1/3 full we need to fill the remaining 2/3 of it.

Time required:

Answer:

$330.00

Step-by-step explanation:

Hey there!

The word ‘of’ in math means multiply

And

11% of 3,000

= 11/100 * 3,000

= 11/100 * 3,000/1

= 11(3,000)/100(1)

= 33,000/100

= 33,000 ÷ 100/100 ÷ 100

= 330/1

= 330

Therefore, the answer is most likely: 330

(NONE of the ABOVE)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

27

Step-by-step explanation:

Lets find the rate of selling:

Let v= the rate of selling, b = number of bottles of water, and t = time:

b over t gives us the [tex]v=\frac{b}{t}=\frac{3}{20}=\frac{6}{40}=0.15[/tex] rate of selling:

3 hours is 60min * 3 = 180 mins, and since v=b/t, vt=b:

(0.15) * 180 = 27 bottles of water

Step-by-step explanation:

thanks for the 5 points

......

Answer:

Step-by-step explanation:

The difference is the filling rate with both lines open:

The pool is 2/3 full and needs filling the remainder, 1/3.

Time required to fill:

Answer:

Step-by-step explanation:

pls gimme brainliest if im correct

Answer:

7.77, 7[tex]\frac{4}{9}[/tex], 7.4, 7[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

convert the fractions to decimals

[tex]\frac{4}{9}[/tex] = .44 so 7.44

[tex]\frac{3}{4}[/tex] = .25 so 7.25

7.77, 7.44, 7.40, 7.25

they look to already be in order.

have a lovely day <3

Answer:

5.2 metres

Step-by-step explanation:

v = pi. r^2 . h

4.1 = 3.1416 × 0.25 * h

h = 5.22 m