I I need help with this I’ll mark you if your right

Answer:

b. 9.2 minutes

Step-by-step explanation:

To find the expected waiting time for a random call from the sampie given by using the formula:

[tex]\sum (f(X)) = \dfrac{\sum f (x) \times x}{\sum x}[/tex]

number of calls (x)           waiting time f(x) in minutes         f(x) *(x)

0                                                     0                                         0            

2                                                     3                                         6

4                                                     10                                       40

6                                                     15                                       90  

8                                                     10                                       80

10                                                     6                                       60  

[tex]\sum x = 30[/tex]                                                                          [tex]\sum f(x) *x = 276[/tex]

Therefore:

[tex]\sum (f(X)) = \dfrac{276}{30}[/tex]

[tex]\sum (f(X)) = 9.2[/tex]

Answer:

160 hours

Step-by-step explanation:

y=3+.18(hours)

31.80=3+.18(hours)

28.8=.18(hours)

160=hours

Answer:

$52.50.

Step-by-step explanation:

Since Val's air conditioner uses 3,500 watts when running, and that Val uses it for 5 hours during summer days, spending 10 cents per kilowatt hour, determining how much money Val will spend during a 30-day summer must be done the following calculation:

3,500 watts = 3.5 kilowatts

3.5 kilowatts per hour = 35 cents

35 cents x 5 hours = 175 cents per day

175 cents per day x 30 days = 5250 cents per month

5250/100 = X

52.5 = X

Thus, during 30 days of summer, Val will spend $ 52.50 on electricity from the use of his air conditionier.

Answer:

A

Step-by-step explanation:

The limits in the integral of the options are missing. They are :

a). [tex]\frac{d}{dx} \int^2_0 f(x)dx = 0[/tex]

b). [tex]\frac{d}{dx} \int^x_2 f(t)dt = 0[/tex]

c). [tex]$\int^x_2f'(x)dx=f(x)$[/tex]

Solution:

We known that

[tex]$\frac{d}{dx}\int^{g(x)}_{h(x)}f(t)dt = f(g(x))\cdot g'(x)-f(h(x))\cdot h'(x)$[/tex]

a).  [tex]\frac{d}{dx} \int^2_0 f(x)dx[/tex]

     [tex]$=f(2) \cdot \frac{d}{dx}(2) - f(0)\cdot \frac{d}{dx}(0)$[/tex]

     = 0 - 0

     = 0

Hence it is true.

b).   [tex]\frac{d}{dx} \int^x_2 f(t)dt[/tex]

      [tex]$=f(x)\frac{d}{dx}(x)-f(2)\cdot \frac{d}{dx}(2)$[/tex]

      [tex]$=f(x) \cdot 1 -f(2)\times 0 $[/tex]

      = f(x)

Hence it is true.

c). [tex]$\int^x_2f'(x)dx[/tex]

    [tex]$\left[f(x)\right]^x_2 = f(x)-f(2)$[/tex]

                [tex]$\neq f(x) $[/tex]

Hence it is false.

Therefore option a) and b). are true.

Answer:

The one in the picture is the correct option

Answer:

The equation of the line in slope-intercept form is:

y = -1/6x + 4

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where  

Given the points on the line graph  

Determining the slope between (0, 4) and (6, 3)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 =  [3 - 4] / [6 - 0]

                 = -1 / 6

Thus, the slope of the line = m = -1/6

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = -1/6 in the slope-intercept form

y = mx + b

y = -1/6x + 4

 Therefore, the equation of the line in slope-intercept form is:

y = -1/6x + 4

Answer:

[tex]\mathbf{ \int^2_0 \dfrac{x^2}{4}. dx = \dfrac{2}{3}}[/tex]

Step-by-step explanation:

The volume of right pyramid whose base is a square is expressed by the formula:

[tex]V = \int^h_o \dfrac{L^2 *y^2}{h^2}. dy \ or \ V = \int^h_o \dfrac{L^2 *x^2}{h^2}. dx[/tex]

Given that:

height h = 2; &

side (l) = 1

Then;

[tex]V = \int^2_0 \dfrac{(1)^2 *x^2}{(2)^2}. dx[/tex]

[tex]V = \int^2_0 \dfrac{x^2}{4}. dx[/tex]

[tex]V =\dfrac{1}{4} \Big [ \dfrac{x^3}{3} \Big ] ^2_0[/tex]

[tex]V =\dfrac{1}{4} \Big [ \dfrac{(2)^3}{3} -0\Big ][/tex]

[tex]V =\dfrac{1}{4} \Big [ \dfrac{8}{3} -0\Big ][/tex]

[tex]\mathbf{V = \dfrac{2}{3}}[/tex]

Answer: Im pretty sure its True

Step-by-step explanation:

sorry if this doesnt help :(

have a great day :)

If A = {1,2,3,4} and B = {2,3,6,7}.

then, A u B = {2,3} is false

The union of two sets A and B is a set containing the elements in set A or B.

The given sets are:

A  =   {1,2,3,4}

B = {2,3,6,7}

A u B is the set of elements in A or B

Therefore, A u B = {1, 2, 3, 4, 6, 7}

Note that:

A ∩ B = {2, 3}, it is not A u B

Therefore, A u B = {2,3} is false

Learn more on union of sets here: https://brainly.com/question/2166579

Answer: I think your answer would be B. 1/9

I hope it's right

Answer:

b

Step-by-step explanation:

I dont understand why the total didnt go down since u kept the 5 but it probably b

Answer:

hahahhahaha

Step-by-step explanation:

abahahahhahah

Answer:

4.1469 x 10^5

Step-by-step explanation:

multiply the coefficients and add the exponents

1.202 x 3.45 = 4.1469

10³ x 10² = 10^5

Answer:

83/99

Step-by-step explanation:

Answer:

Now it can be seen that x is assumed to be . Therefore, the decimal is equivalent to 5/6. Answer: The decimal is converted to 5/6 as fraction

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

The answer is B. Beta Mart

Step-by-step explanation:

First you convert everything to pints. So that would be:

Alpha - 2 pints is $1

Beta - 8 pints is $3

Gamma - 1 pint is $0.54

Delta - 4 pints is $1.86

Then you find the unit rate of each. That would be:

Alpha - 1 pint is $0.50

Beta - 1 pint is $0.375(0.38)

Gamma - 1 pint is $0.54

Delta - 1 pint is $0.465(0.47)

Whichever unit rate is the least (Beta Mart) has the lowest rate. Even though it says ounces, it would still be the same answer.

Answer: T=3xy

Step-by-step explanation:

Answer:

T=3xy

Step-by-step explanation:

The end behavior of the radical function represented by this graph is As x decreases in value , f(x) increases in value , as x increases in value , f(x) increases in value ,  Option A is the correct answer.

A law that relates a dependent and an independent variable is called a Function.

The graph with a function is given

The end behavior has to be predicted

It can be seen from the graph that

as x decreases , as x value is going to negative the value of y is decreasing and going from positive to zero

as x is increasing , The value of y is increasing

Therefore , Option A is the correct answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ2

Answer:

Hence, approximately 99.7% of students spend between : $341 and $527

Step-by-step explanation:

According to the empirical rule :

99.7% fall within 3 standard deviations from the mean

Given that :

Mean, μ = 434

Standard deviation, σ = 31

μ ± 3σ

μ - 3σ = 434 - 3(31) = 434 - 93 = 341

μ + 3σ = 434 + 3(31) = 434 + 93 = 527

Hence, approximately 99.7% of students spend between : $341 and $527 on textbooks in a semester.

Answer:

Yes, it is distributive.

Step-by-step explanation:

A distributive property is a rule that states that, multiplying two factors such as a binomial and trinomial would give the same result as multiplying the sum of two addends by the other factor.

Given the following data;

m = 2

n = 6

For equation 1;

18m + 42n = 18(2) + 42(6)

18m + 42n = 36 + 252

18m + 42n = 288.

For equation 2;

6(3m + 7n) = 6(3*2 + 7*6)

6(3m + 7n) = 6(6 + 42)

6(3m + 7n) = 6(48)

6(3m + 7n) = 288

 18m + 42n = 6(3m + 7n) = 288

Therefore, the equation illustrates distributive property.

Answer:

25

Step-by-step explanation:

i not fully sure if this is right

Answer:

The domain of f is (-∞,4)

Step-by-step explanation:

Domain of a Function

The domain of a function f is the set of all the values that the input variable can take so the function exists.

We are given the function

[tex]f(x)=\frac{1}{\sqrt{4-x} }[/tex]

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:

4 - x > 0

Subtracting 4:

- x > -4

Multiplying by -1 and swapping the inequality sign:

x < 4

Thus the domain of f is (-∞,4)

Answer:

Area = 110.88 m²

Step-by-step explanation:

Total area = area of the two triangles + area of the rectangle

Total Area = ½bh + L*W × ½*by

= ½*7*7.2 + 7.6 × 7.2 + ½*8.6*7.2

= 25.2 + 54.72 + 30.96

Total Area = 110.88 m²

Answer:

x = 28

Step-by-step explanation:

1/4x = 7

x = 7 • 4

x= 28

the division pass to other place to multiplication

Answer:

15/7

Step-by-step explanation:

15/7

15 of 7 is the same as 15 out of 7, or 15/7

I hope this helps! :)

Answer:

5 each

Step-by-step explanation:

we will minus the coffee from the total

25 - 5 = 20

there's was 4 magazines so we do...

20 ÷ 4 = 5

Answer:

a 5/2; b. 2.5; c 0.9; d. 90%

Step-by-step explanation:

Answer:

15/17 is 0.88.

and rounded to the nearest tenth is 0.9

have a good day! c: