Zainab runs her own business where she leads guided day-long tours for small groups of tourists in her city. Each tour has a maximum of 333 guests. Let XXX represent the number of customers Zainab gets on a randomly chosen day. Based on previous data, here is the probability distribution of XXX along with summary statistics: X=\text{\# of customers}X=# of customersX, equals, start text, \#, space, o, f, space, c, u, s, t, o, m, e, r, s, end text 000 111 222 333 P(X)P(X)P, left parenthesis, X, right parenthesis 0.200.200, point, 20 0.100.100, point, 10 0.400.400, point, 40 0.300.300, point, 30 Mean: \mu_X=1.8μ X ​ =1.8mu, start subscript, X, end subscript, equals, 1, point, 8 Standard deviation: \sigma_X\approx1.08σ X ​ ≈1.08sigma, start subscript, X, end subscript, approximately equals, 1, point, 08 It costs Zainab \$5$5dollar sign, 5 each day to pay for her own transportation to her business, and then each customer she gets pays her \$60$60dollar sign, 60. Let YYY represent Zainab's net gain on a randomly chosen day. What are the mean and standard deviation of YYY?

Answers

Answer 1

An

μ  Y=103 dollars  

σ  Y≈64.8 dollars

​  

Step-by-step explanation:

We can find her income by multiplying the number of customers by 606060, and then subtracting her fixed transportation cost to get her net gain:

Y=60X-5Y=60X−5Y, equals, 60, X, minus, 5

How will this transformation impact the mean and standard deviation?

Hint #22 / 4

Effect on mean

Multiplying by 606060 and subtracting 555 both impact the mean:

\begin{aligned} \mu_Y&=60\left(\mu_X\right)-5 \\\\ &=60\left(1.8\right)-5 \\\\ &=108-5 \\\\ &=103 \end{aligned}  

μ  

Y

​  

 

​  

 

=60(μ  

X

​  

)−5

=60(1.8)−5

=108−5

=103

​  

 

Hint #33 / 4

Effect on standard deviation

Multiplying by 606060 impacts the standard deviation, but subtracting 555 does not — adding or subtracting a constant only shifts data, which doesn't affect the spread.

\begin{aligned} \sigma_Y&=60\left(\sigma_X\right) \\\\ &\approx60\left(1.08\right) \\\\ &\approx64.8 \end{aligned}  

σ  

Y

​  

 

​  

 

=60(σ  

X

​  

)

≈60(1.08)

≈64.8

​  

Answer 2

The ansa
μ  103 dollars  

σ  64.8 dollars


Related Questions

Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinates of point T? T(3, 2) T(3, 4) T(4, 5) T(4, 7)

Answers

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

[tex]T(4,5)[/tex]

Step-by-step explanation:

Given

[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]

[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]

Required

Determine the coordinates of T

The coordinates of T can be represented as [tex]T(x,y)[/tex]

To do this, we simply solve for x and y

[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]

Solve 6 - 2

[tex]x = \frac{1}{2}*4 + 2[/tex]

Solve 1/2 * 4

[tex]x = 2 + 2[/tex]

[tex]x = 4[/tex]

[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]

Solve 4 - 6

[tex]y = \frac{1}{2}*-2 + 6[/tex]

Solve 1/2 * -2

[tex]y = -1 + 6[/tex]

[tex]y = 5[/tex]

Hence, the coordinates of T(x,y) is:

[tex]T(x,y) = T(4,5)[/tex]

Answer:

C

Step-by-step explanation:

2x (3x + 5)
=6x^2+20x​

Answers

Answer:

Are you 1 grade or what......

Answer:

6x^2 + 10x

Step-by-step explanation:

2x(3x + 5) = 2x * 3x + 2x * 5

= 6x^2 + 10x

(help) During a snowstorm the temperature drops from 0 F to - 7 in 7 hours on average by how many degrees is the temperature changing per hour

Answers

Answer:-1

Step-by-step explanation:

I got it wrong and it said that that is the right answer

The dress store is having a sale where all merchandise is 1/4 off. A woman buys $50 of merchandise at the sale price. What would she have to pay at the regular price?
ANSWER PLZZ!!

Answers

Answer:

200

Step-by-step explanation:

1/4 would be 25 percent and 50 times 4 would be 200

What is m / 5 - 2 = 8

Answers

Answer:

m=24

Step-by-step explanation:

First, we can combine like terms:

m/(5-2)=8

m/3=8

Now, we need to get m by itself. To do this, multiply by 3:

m/3*3=8*3

m=24

50

50 ÷ 5 = 10, 10-2 =8

kdjrjrjdjjfhrhy to truth thhrjrhejd

what is the rate of change of y with respect to x for this function

Answers

Answer:

8

one fourth

2

4

Step-by-step explanation:

hope with helped ^^

Anyone need help on math:(?

Answers

Answer:no hbu cutie?

Step-by-step explanation:

I do lol- can u help me

3.4–2.8d+2.8d-1.3=?

find the area k of triangle ABC WHEN A =19.2 b= 2.05 and c=9.12

Answers

Step-by-step explanation:

Area of a triangle= 1/2breadth × height

If a pair of standard dice are rolled,
what is the probability that the sum
will be greater than 7?
[ ?

Answers

Answer:

P(Pair of dice greater than 7) = 5/12

Step-by-step explanation:

When rolling a pair of dice, there are 36 combinations for the rolls.

(1,1), (1,2), (1,3), .... (2,1), (2,2), .... (6,1), ... (6,6)

Of those, there are 15 where the total is greater than 7.

15/36 = 5/12

#1 #2 Sum > 7

1 1 2 FALSE

1 2 3 FALSE

1 3 4 FALSE

1 4 5 FALSE

1 5 6 FALSE

1 6 7 FALSE

2 1 3 FALSE

2 2 4 FALSE

2 3 5 FALSE

2 4 6 FALSE

2 5 7 FALSE

2 6 8 TRUE

3 1 4 FALSE

3 2 5 FALSE

3 3 6 FALSE

3 4 7 FALSE

3 5 8 TRUE

3 6 9 TRUE

4 1 5 FALSE

4 2 6 FALSE

4 3 7 FALSE

4 4 8 TRUE

4 5 9 TRUE

4 6 10 TRUE

5 1 6 FALSE

5 2 7 FALSE

5 3 8 TRUE

5 4 9 TRUE

5 5 10 TRUE

5 6 11 TRUE

6 1 7 FALSE

6 2 8 TRUE

6 3 9 TRUE

6 4 10 TRUE

6 5 11 TRUE

6 6 12 TRUE

Answer:

5/12

Step-by-step explanation:

I can’t really explain it. I did the same problew though.

In FGH, K is the midpoint of GH. What type of segment is FK?
median?
altitude?
angle bisector?
perpendicular bisector?​

Answers

Answer:

Median

Step-by-step explanation:

In FGH, K is the midpoint of GH.

Therefore, FK is the median segment.

The graph of the function y=tan(x) was horizontally stretched so that its period became 10pi Which is the equation of the transformed function?

Answers

The equation of transformed graph is: y=tan(1/10 x)

because....
period = /b
10 = /b
b= /10
b=1/10

plug b into the equation y=tan(bx)
giving you the equation y=tan(1/10 x)

Answer:

A is the answer

Step-by-step explanation: Edge 2020

Solve for x.
4x - 8 = -3(2x + 6)

Answers

Answer:

x= -1

Step-by-step explanation:

First, distribute the -3 through the parentheses

4x-8= -3(2x+6)

= 4x-8= -6x-18

Second, move the variable to the left-hand side and change its sign

4x+6x= -18+8

10x= -10

Divide both sides by 10

x=-1

Answer:

x=-7

Step-by-step explanation:

first u wanna multiply (2x+6) which equals 12 the what u wanna do is move the constant to the right which is 4x-8=-36. Then calculate 4x=-36+8. then after that then u should end up with 4x=-28 then u divide it then u end up with ×=-7

f(x) = 2x + 3
g(x) = x
(a) Find fg(6).
(b) Solve the equation gf(x) = 100.

Answers

Answer:

a) 15

b) 97/2

Step-by-step explanation:

a) f(g(6))

  g(6) = 6

   2(6)+3

    12 + 3

      15

b) gf(x) = 10

    2x+3

    2x+3 = 100

    2x = 97

     x = 97/2

12. Find the value of x.
(10x - 11)
(7x + 4)

Answers

Answer:

Step-by-step explanation:

7x+4=10x-11

4=3x-11

15=3x

x=5

Algebra Find the values of x and y.
5.
olgaus 1986.
115°
х”
081 91129 rast

Answers

Answer:

hey look up it up it's  better

Step-by-step explanation:

I need to know the answer to part b please

Answers

Answer:

Part B is Both batches have 2 more quarts of pineapple juice than sparkling water. The ratio of quarts of pineapple juice to quarts of fruity drink for the first batch is 3 to 5 or 3:5 or 3/5. The ratio for the second batch is 5 to 8 or 5:8 or 5/8. The second batch has a greater ratio of quarts of pineapple juice to quarts of fruity drink.

Mary has sold 90 boxes of cookies. If her goal was to sell 120 boxes, what percentage of her goal has she sold?

Answers

the percentage is 75%

because 90 divided by 120 is 0.75.

Identify the slope and the y-intercept of the following: g(x)=-3/2x + 4

Answers

Answer:

x = 6

Step-by-step explanation:

I NEED HELP PLEASEEEE HABSJQBSKQSBQISBWKEJKQDJIQSB :(

Answers

Answer:

5

Step-by-step explanation:

within the brackets do the parentheses (14-12)=2

according to PEMDAS, multiply first 2x3 to get 6

then add 3

you end up with 9 in the brackets so now all that’s left is 45/9 which is 5

hi can someone answer these 3 questions for me?? thank you :)

Answers

Answer:

1) 1[tex]\frac{1}{8}[/tex]

2) 2[tex]\frac{5}{7}[/tex]

3) 1[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

Step-by-step explanation:

4 7/8 + __ = 6

__ = 6 - 4 7/8

__ = 1 1/8

3 2/7 + __ = 6

__ = 6 - 3 2/7

__ = 2 5/7

3 1/9 + __ = 5

__ = 5 - 3 1/9

__ = 1 8/9

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Solve the quadratic equation by completing the square. X^2+14x+38=0
Can you explain the steps too so I can understand it better. Also if there are more than one solution can you add all of the solutions. Thank you!

Answers

Answer:

[tex] \rm x = - 7 \pm \sqrt{11} [/tex]

Step-by-step explanation:

Solve for x over the real numbers:

[tex] \longrightarrow [/tex] x² + 14x + 38 = 0

Subtract 38 from both sides:

[tex] \longrightarrow [/tex] x² + 14x + 38 - 38 = 0 - 38

[tex] \longrightarrow [/tex] x² + 14x = -38

Add 49 to both sides:

[tex] \longrightarrow [/tex] x² + 14x + 49 = 49 - 38

[tex] \longrightarrow [/tex] x² + 14x + 49 = 11

Write the left hand side as a square:

[tex] \longrightarrow [/tex] x² + 7x + 7x + 49 = 11

[tex] \longrightarrow [/tex] x(x + 7) + 7(x + 7) = 11

[tex] \longrightarrow [/tex] (x + 7)(x + 7) = 11

[tex] \longrightarrow [/tex] (x + 7)² = 11

Take the square root of both sides:

[tex] \longrightarrow [/tex] [tex] \sf \sqrt{{(x + 7)}^{2}} = \pm \sqrt{11} [/tex]

[tex] \longrightarrow [/tex] [tex] \sf x + 7 = \pm \sqrt{11} [/tex]

Subtract 7 from both sides:

[tex] \longrightarrow [/tex] [tex] \sf x = - 7 \pm \sqrt{11} [/tex]

In a survey of 3000 people who owned a certain type of​ car, 2100 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

70%

Step-by-step explanation:

Step one:

given data

we are told that the  number of people under the survey is 3000

and also that 2100 people would like to buy again, these 2100 people represent the number of people who are satisfied with the type of car.

Step two:

Therefore the percentage of this number related to the total people under the survey is given below

=2100/3000*100

=21//30*100

=7/10*100

=7*10

=70%

Hence 70% of the people surveyed are satisfied with the type of car

What is the equation of the line shown in this graph?

Answers

Answer:

y=0x+1

Step-by-step explanation:

Hope this helps!(^-^)

Answer: either -4,1 (+) 6 or 2,1 (-) 6

Step-by-step explanation:

x⁴+1 by x+1 ( Long division of polynomials).Please if anyone knows the answer of this question please let mr know.....if you want points and waste my time your answer will be reported...​

Answers

[tex] {x}^{3} - {x}^{2} + x - 1 + \frac{2}{x + 1} [/tex]

lmk if u want an explanation for this I can try type it out

Answer:

[tex]x^3-x^2+x-1+\frac{2}{x+1}[/tex]

Step-by-step explanation:

See the picture attached.

Notice how I set up [tex]x^4+1[/tex] as [tex]x^4+0x^3+0x^2+0x+1[/tex], as it makes it easier to solve.

Also, notice that the 2 as the remainder doesn't have anything else to divide to, so that means there will be an extra term [tex]\frac{2}{x+1}[/tex] in the end of the answer.

????????????????????????????????????????

Answers

Answer: The Answer is 64

Step-by-step explanation: there  isnt  much really to it

Answer:

The answer is 64

Step-by-step explanation:

If you need me to explain my answer let me know.

A coin is flipped and a normal dice is rolled. How many possible outcomes are there? What is the probability of getting no heads? What is the probability of getting at least two tails?

Answers

Answer:

Below.

Step-by-step explanation:

(a)  There 8 possible outcomes.

HHH TTT HHT HTH THH TTH THT HTT

(b) Prob(No Heads)

= Prob(TTT)

= 1/8.

(c) Possible outcomes of at least 2 tails are:

TTT, TTH THT HTT = 4

So Probability of this  is 4/8 = 1/2.

A jacket regularly costs $65.How much would the jacket cost if it was on sale with a 20% discount​

Answers

Answer:

Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.

\

Step-by-step explanation:

20% of 65 is 13 because if you take 20% or 0.20 multiplied by 65 you get 13 so it is 13. Sorry it’s not the best have a nice day!!

Someone please help me

Answers

Y=-3 on the graph question
Equation for the parallel line through (9,-11) is y=-2/3x-5
The slope intercept form of -8x=2-2y is y=4x+1
The equation of a perpendicular line through (15,8) is y=-7/5x+29 :)

Find the exact value of sin(x + y), given sin(x) = -1/2 , cos(y) = -1/3, x is an angle in quadrant III, and y is an angle in quadrant II.

StartFraction 2 minus StartRoot 5 EndRoot Over 6 EndFraction

StartFraction 1 minus 2 StartRoot 6 EndRoot Over 6 EndFraction

StartFraction 6 minus StartRoot 5 EndRoot Over 6 EndFraction

StartFraction StartRoot 3 EndRoot minus StartRoot 5 EndRoot Over 6 EndFraction

Answers

Given:

[tex]\sin (x)=-\dfrac{1}{2}[/tex]

[tex]\cos (y)=-\dfrac{1}{3}[/tex]

x is an angle in quadrant III, and y is an angle in quadrant II.

To find:

The value of sin(x+y).

Solution:

We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.

x is an angle in quadrant III,

[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]

[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]

[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]

[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]

[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]

y is an angle in quadrant II.

[tex]\sin y=\sqrt{1-\cos^2x}[/tex]

[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]

[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]

[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]

Now,

[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]

[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]

[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]

[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]

Therefore, the correct option is B.

Answer:

Choice B

Step-by-step explanation:

(GIVING BRAINLIEST) Which expression uses the associative property to make it easier to evaluate

Answers

I am not 100% sure, but I think the answer may be D

Answer:

Its D.

Step-by-step explanation:

Give him brainliest he deserves it

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