A recent survey found that about 73.2% of all gasoline purchases at a certain service station chain are paid with a credit or debit card. If 250 gasoline purchases completed at this chain are randomly selected, find the probability that at most 195 of those purchases are paid with a credit or debit card. • Use Excel to find the probability, rounding your answer to four decimal places.

Answers

Answer 1

The probability that at most 195 of those purchases are paid with a credit or debit card i.e P(X ≤ 195 ) is 0.9625..

We have given that,

Sample size , n=250

Sample proportion, p= 73.2% = 0.732

np = 183

n(1-p) = 67

both np & n(1-p) values are greater than 5, So normal approximation is applicable

mean, µ = np = 183

std. dev, σ = √np(1-p) =√250×0.732 ×(1-0.732) =7.0031

we have to calculate probability that at most 195 of those purchases are paid with a credit or debit card i.e P(X ≤ 195 )

= P( X < 195.5 )

= P((x - µ) / σ < (195.5 -183)/ 7.0031)

= P( Z < 1.78 )

= 0.9625

Required probability using Excel function ,

Excel command: =NORM.S.DIST(z,1)

= Norm.S.DIST(1.78,1)

= 0.9625

Hence, required probability is 0.9625..

To learn more about Probability of z-statistic, refer:

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A Recent Survey Found That About 73.2% Of All Gasoline Purchases At A Certain Service Station Chain Are
A Recent Survey Found That About 73.2% Of All Gasoline Purchases At A Certain Service Station Chain Are

Related Questions

A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? *​

Answers

Answer:

The mark up percentage of the book is 603.35 percent with respect to its initial price.

Step-by-step explanation:

Given that a book costs $ 1.49 and is sold in a retail store for $ 8.99, in order to determine what is the percentage in mark up, the following mathematical operations must be performed:

(8.99 / 1.49) x 100 = X

6.0335 x 100 = X

603.35 = X

Thus, the mark up percentage of the book is 603.35 percent with respect to its initial price.

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir​

Answers

This can be found by finding 44 chosen 5 at a time times 1/32.
That would be
44! / (44-5)!(5!) * 32 =
1 chance in 34,752,256

The probability of winning the jackpot is 1/32728332.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).

Total number of white balls = 43

Number of combinations of selecting 5 from 43 = 43C₅  

                                                                                = 43! / (5! × 38!)

                                                                                = 962598

Total number of gold balls = 34

Number of combinations of selecting 1 from 34 = 34C₁

                                                                               = 34

Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332

There is only 1 way for which the player wins the jackpot.

Probability of winning the jackpot = 1/32728332

Hence the required probability is 1/32728332.

Learn more about Combinations here :

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PLEASE ANSWER ILL GIVE YOU BRAINLIEST

Answers

Answer:

It is 276.32

The equation is 2 times pi times radius times height, plus 2 times pi times radius squared.

r=radius

h=height

π=pi (3.14)

The radius is half the diameter and is given. It is 4.

The height is also given. It is 7.

So, follow GEMDAS and plug it in.

(2 x 3.14 x 4 x 7) + (2 x 3.14 x 4^2)

Plug it into the calculator and it will give you 276.32.

Hope this helps!

Have a great day and please rate and put thanks if it helped.

Also, if you can, mark me!

Web Consultants, Inc., pays Alice Rose an annual salary of $56,800. Today, Alice’s boss informs her that she will receive a $7,300 raise. What percent of Alice’s old salary is the $7,300 raise?

Answers

Answer: 13%

Step-by-step explanation:

To answer this question we can simply take her raised salary by her old salary...

(Put this into a calculator) 7300/56800=0.13

$7300 is 13% of her old salary

Find the area of the
triangle.
9 cm
22 cm
[?] cm2

Answers

Answer:

11

Step-by-step explanation:

Half base times height

X
Y
Which segment is the triangle?

Answers

Answer:

be more pacific

Step-by-step explanation:

WALLAHI HELP ME PLEASE

Answers

Answer:

The answer is D) dotted line, shaded above

Step-by-step explanation:

Hope this helpsss :)

Jasmine conducted a survey of 83 people. 17/of them chose fish as their favorite dinner. How many would you expect to
choose fish out of the population of 250 people?

Answers

Answer:

52

Step-by-step explanation:

Ok, so first, we should find the fraction and turn that into a decimal. Do this by dividing the numerator by the denominator.

17/83 = 0.2048192771.

Now, we simply multiply our decimal by the new amount of people.

0.2048192771 x 250 = 51.2048192771.

Lastly, we should round our number up, as you can't possibly have a fraction of a person.

Our final answer is that roughly 52 people will be choosing fish, according to this sample

The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
Job Satisfaction Score Probability
IS Senior Executives IS Middle Managers
1 0.06 0.04
2 0.09 0.10
3 0.03 0.13
4 0.42 0.45
5 0.40 0.28
(a) What is the expected value of the job satisfaction score for senior executives?
(b) What is the expected value of the job satisfaction score for middle managers (to 2 decimals)?

Answers

Answer:

a) The expected value of the job satisfaction score for senior executives is:

= 4.01

b) The expected value of the job satisfaction score for middle managers is:

= 3.83

Step-by-step explanation:

a) Data and Calculations:

Job Satisfaction             Probability

Score  

                IS Senior Executives    IS Middle Managers

1                          0.06                             0.04

2                         0.09                             0.10

3                         0.03                             0.13

4                         0.42                             0.45

5                         0.40                             0.28

Low of 1 = very dissatisfied

High of 5 = very satisfied

Job Satisfaction     IS Senior Executives             IS Middle Managers

      Score       Probability  Expected Value   Probability  Expected Value

1                      0.06               0.06 (1 * 0.06)      0.04           0.04 (1 * 0.04)

2                     0.09               0.18 (2 * 0.09)      0.10            0.20 (2 * 0.10)

3                     0.03               0.09 (3 * 0.03)      0.13            0.39 (3 * 0.13)

4                     0.42               1.68 (4 * 0.42)       0.45           1.80 (4 * 0.45)

5                     0.40               2  (5 * 0.40)         0.28            1.40 (5 * 0.28)

Expected value                    4.01                                          3.83

Please help I’ll mark you as brainliest if correct!

Answers

Answer: 200+50m>1,250

Step-by-step explanation:

It starts with 200 so that is by itself. The m is added to the number that is changing every so often, in this case $50 a month. They need more than $1,250 so we use the greater than sign.

Can someone help me pls

Answers

Answer:

64

Step-by-step explanation:

Answer:

64 Is the answer easy

Step-by-step explanation:

64 is the answer

What is the side length of a cube with a volume of 64 cubic inches?

Answers

Answer:

4

Step-by-step explanation:

4x4x4=64

Answer:

4

Step-by-step explanation:

volume of a cube = L³

V=L³

L=

[tex] \sqrt[3]{v}[/tex]

L =

[tex] \sqrt[3]{64} [/tex]

L = 4

The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to the x-axis is an equilateral triangle, then the volume is
(A) sqrt(3)/8(e^2-1)
(B) sqrt(3)/4(e^2-1)
(C) sqrt(3)/2(e^2-1)
PLS EXPLAIN

Answers

Answer:

A

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of y = eˣ, y = 0, x = 0, and x = 1. Each cross-section perpendicular to the x-axis is an equilateral triangle. We want to find the volume of the solid.

Please refer to the graph below. We are concerned with the red region.

In order to find the volume, we essentially sum up the area of the figure at each x value. So, we integrate from x = 0 to x = 1.

The area for an equilateral triangle is given by:

[tex]\displaystyle A=\frac{\sqrt{3}}{4}s^2[/tex]

Where s is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at x is simply y, which is eˣ.

Therefore, our volume is:

[tex]\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx[/tex]

Substitute:

[tex]\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx[/tex]

Evaluate the integral. Simplify:

[tex]\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx[/tex]

Integrate using u-substitution:

[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)[/tex]

Evaluate:

[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)[/tex]

Therefore, the volume of the solid is:

[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)[/tex]

Our answer is A.

Answer:

A.) sqrt(3)/8(e^2-1) is the answer.

Step-by-step explanation:

#CarryOnLearning

1.) The function g is related to one of the parent functions
g(x) = x^2 + 6
The parent function fis:
f(x)= x^2
Use function notation to write g in terms of f.​

Answers

Answer:

g is terms of f is given by: [tex]g(x) = f(x) + 6[/tex]

Step-by-step explanation:

We are given these following function:

[tex]g(x) = x^2 + 6[/tex]

And

[tex]f(x) = x^2[/tex]

Use function notation to write g in terms of f.​

We can see that function g(x) is f(x) added by 6. So

[tex]g(x) = f(x) + 6[/tex]

g is terms of f is given by: [tex]g(x) = f(x) + 6[/tex]

whats 1/8 y = 38 ?
how would i do this

Answers

Answer:

304

Step-by-step explanation:

I divided 38 by 1/8 and then checked if 304 times 1/8 equals 38

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{8}y = 38}[/tex]

[tex]\large\textsf{MULTIPLY 8 to BOTH SIDES}[/tex]

[tex]\mathsf{8 \times \dfrac{1}{8}y = 8\times 38}[/tex]

[tex]\mathsf{Cancel\ out: 8 \times \dfrac{1}{8}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\mathsf{Keep: \ 8\times38\ because\ that\ helps\ you\ solve\ for\ your\ answer}[/tex]

[tex]\mathsf{y = 8\times38}[/tex]

[tex]\mathsf{8\times38 = \bf 304}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 304}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

what is the slope of a line with one point at (6,3) and another point at (8,2)

Answers

Heyoo. I hope this helps you! If you don’t understand, feel free to ask me anything so I can help. There is a formula that I used to solve it (it is included in the picture and properly labelled).

Keep in mind that it even though I labelled (6,3) as x1 and y1 respectively, you can also label them x2 and y2 and label (8,2) as x1 and y1 and still get the same answer.

: )

(20 POINTS)What is the slope-intercept form of the equation
the line that passes through the points (9, 5) and (4, 1)?

A) y = 4/5x - 4/5
B) y = 4/5x + 2/5
C) y = 4/5x - 11/5
D) y = 4/5x + 41/5

Answers

Answer:

i think option are not accurate

Step-by-step explanation:

look at given picture for more information

Jax played baseball. His batting average for the season was 0.362. What is his batting average in the expanded form

Answers

Answer:

Jax should quit baseball hes bad at it

Step-by-step explanation:

Find the solution(s) to (x + 2)^2 = 49. Check all that apply.

Answers

Take the square root of both sides of the equation to get (x+2)=7

Then subtract 2 on both sides to get
x=5

The sum of all digits of some number is 210. The number is always divisible by:
A. 3
B. 2
C. 5
D. 9
E. 10
Please show work and I will mark brainlist.

Answers

Answer:

2

Step-by-step explanation:

so so that you could get both halves, we had to divide by two then I got 105 +105 meaning 210 could be divided by 2

A store purchased glass vases for $4.50 and sold them for $7.58. What is the mark-up, as a percentage?
Round your answer to the nearest percent and include a percent sign (%).

Answers

Answer:

30%

Step-by-step explanation:

jusr subtract

1. You have applied for two scholarships: the TRIO Opportunity Grant (TOG) and the Vermont Opportunity in Education (VEOP) scholarship. From data collected over the years, the probability that you receive the VEOP scholarship is 0.25, the probability that you receive both scholarships is 0.15, and the probability that you get at least one of these scholarships is 0.37. a. What is the probability that you receive the TOG

Answers

Answer:

0.27 = 27% probability that you receive the TOG scolarship.

Step-by-step explanation:

I am going to solve this question treating these probabilities as Venn probabilities.

I am going to say that:

Event A: TOG scolarship

Event B: VEOP scolarship

The probability that you receive the VEOP scholarship is 0.25

This means that [tex]P(B) = 0.25[/tex]

Probability that you receive both scholarships is 0.15

This means that [tex]P(A \cap B) = 0.15[/tex]

The probability that you get at least one of these scholarships is 0.37.

This means that [tex]P(A \cup B) = 0.37[/tex]

What is the probability that you receive the TOG?

This is P(A). These measures are related by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A) = P(A \cup B) + P(A \cap B) - P(B)[/tex]

Replacing with the values in this question

[tex]P(A) = 0.15 + 0.37 - 0.25 = 0.27[/tex]

0.27 = 27% probability that you receive the TOG scolarship.

write a statement that describes the relationship between these two sequence 6,7,8,9,10 and 18,21,24,27,30​

Answers

The second group is the result of first, which was multiplied by 3

someone please help me i’ll give you brainliest

Answers

Answer:

its b

can i have brain im about to level up

B because it is u feel me it just is u have to trust me deep down from your gut

Find the indicated term of the given geometric sequence.

a1 = 11, r = 3.4, n = 7

Answers

Answer:

a₇ = 16992.84

Step-by-step explanation:

Given that,

a₁ = 11, r = 3.4 and n = 7

The geometric sequence is given by :

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Put all the values,

[tex]a_7=11\times (3.4)^{7-1}\\\\=11\times (3.4)^6\\\\=16992.84[/tex]

So, the seventh term is equal to 16992.84.

Solve the system
y= 17x – 6
y= 12x + 44

Answers

Answer:

×=10 y= 164

Step-by-step explanation:

we take the first equation and replace it on the second equation where there is y

I need some help with this

Answers

9514 1404 393

Answer:

  (a)  216

Step-by-step explanation:

Put 5 where n is in the formula to find the 5th term. Do the arithmetic.

  a5 = (5 +1)^3 = 6^3 = 216

The 5th term is 216.

on a recent hike through riverbend park antoinette traveled 2/3 mile in 1/3 hour . Which unit rate describes antoinettes speed in miles per hour

Answers

Answer:

Her speed is of 2 miles per hour.

Step-by-step explanation:

Velocity:

The velocity is given by the following formula:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance and t is the time.

2/3 mile in 1/3 hour .

This means that [tex]d = \frac{2}{3}, t = \frac{1}{3}[/tex]

Which unit rate describes antoinettes speed in miles per hour?

This is v. So

[tex]v = \frac{d}{t} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3}*\frac{3}{1} = 2[/tex]

Her speed is of 2 miles per hour.

My teacher is mean to me I think she hates me can someone help me

Answers

Answer:

4=5/6

5=12/12

6=9/10

7=1/2

8=1/5

Step-by-step explanation:

hiii

Answer:

here are some good fraction calculators that could help you!

https://www.fractioncalc.com/https://www.calculatorsoup.com/calculators/math/fractions.phphttps://www.calculator.net/fraction-calculator.html

Hope these help ya :))


Consider the dot plot which shows the distribution of data collected on the amount of time Jane spent drying her hair each
morning. Which statement BEST describes the center of the data?
A)
median is less than the mean
B)
median is greater than the mean
mean is greater than the median
D)
mean is less than half the range

Answers

The correct answer is option A, the median is less than the mean.

What is the median?

The median is a measure of central tendency in statistics that represents the middle value of a data set when it is arranged in order. It is the value that separates the upper half of the data from the lower half.

This is because if the median is less than the mean, it indicates that there are some values in the data set that are larger than the mean, which would result in a skewed distribution to the right.

If the data set is skewed to the right, there will be more values on the left-hand side of the dot plot, and the median will be less than the mean. This is a common characteristic of skewed data distributions, and it is likely that the data on the amount of time Jane spent drying her hair each morning is not evenly distributed.

The correct answer is median is less than the mean.

To know more about the median follow

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