Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of minutes and standard deviation of minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, customers in the first line and customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer one is more than minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76).

Answers

Answer 1

Answer:h

Step-by-step explanation:


Related Questions

The area of the Pacific Ocean is more than 60 million square miles.
What is that in scientific notation?
0 6 x 107
0 6x 107
60 x 10-6
60 106

Answers

The scientific notation for this is :-6x10⁷

I NEED AN ANSWER WITHIN LIKE 10 MINUTES-

Which expression is equivalent to -2 1/4 over -2 2/3

A. 9/4 Divided by 3/2
B. -9/4 divided by (-2/3)
C. -9/4 divided by 2/3
D. 9/4 divided by (-3/2)

Answers

Answer:

I think the option B is the answer -9/4 divided by (-2/3)

I hope this might help u

A quadrilateral has angles that measure 60 , 115, and 80°. What is the measure of the missing angle?

Answers

Answer:

105

Step-by-step explanation:

The sum of a quadrilateral's angles is always equal to 360

360 - 60 - 115 - 80 = 105

Hope this helps :)

Please help, this is due in 30 minutes

Answers

Answer:

i think the first one maybe... not so sure

Answer:

Should be B and D

Step-by-step explanation:

You plug in the first number before the comma, and if it equals the second number after the comma then the point 'satisfies the equation'.

Which of the following functions is graphed below ?

Answers

Answer:

A.  y = |x + 4| - 2.

Step-by-step explanation:

The graph of y = |x| is V shaped and passes through the origin and the slope  is 1 (like the given graph).

y = |x + 4) moves the V shaped graph 4 units to the left so the tip of the V is at x = -4.

Now subtracting 2 from this graph will bring the graph to the point where x = -4 and y = -2.

So the given function is y = |x + 4| - 2.

I just need an approximate value.

Answers

Answer:

1.898 ×10^27 kg for Jupiter

and for Neptune 1.024×10^26 kg

Answer:

Hola

Step-by-step explanation:

A positive integer is 4 less than another. If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer, then the result is −67. Find all pairs of integers that satisfy this condition.

Answers

Answer:

(0.0147, 4.0147) and (-4.04, 0.04)

Step-by-step explanation:

Let the smaller number be x

Let the larger number be y

If a positive integer is 4 less than another, then;

x = y - 4 ...1

If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;

1/y - 3(1/x) = -67

1/y   -3/x = -67 ...2

Substitute 1 into 2

1/y - 3/y-4 = -67

y-4-3y/y(y-4) = -67

-4-2y = -67(y^2-4y)

- 4-2y = -67y^2 +268y

-67y^2 +268y+2y + 4  = 0

-67y^2 +270y +  4 =0

67y^2 -270y - 4 = 0

Factorize

-270±√270² - 4(-4)(67)/2(67)

= -270±√72,900+1072/134

= -270±271.97/134

= -270 -271.97/134 and  -270 +271.97/134

= -541.97/134 and 1.97/134

x = 0.0147 and -4.04

y = x+4

y = 0.0147+4

y = 4.0147

If x = -4.04

y = -4.04 + 4

y = 0.04

Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)

PLEASE HELP ME!!!!!
sin(a-28)=cos4
a=? ​

Answers

Answer:

sin(a−28)=cos(4)

sin(a−28)=−0.653644

Step-by-step explanation:

which statement best explains how Italian society was affected by the Renaissance?

Answers

italian society entered a new era of artistic and academic achievement

Which expression is not equivalent to 2/3 x4

Answers

Answer:

I don't know I need the answer choices

Step-by-step explanation:

allan's car uses 1 liter of fuel to travel 12 km , how much fuel does she need to travel 420km​

Answers

Answer:

Allan needs 35 liters to travel 420km

Answer:

The answer should be: 35 liters of fuel

Step-by-step explanation:

Pls help i will put brainlyist if you don’t answer correctly i will report

Answers

Answer:

23.04

Step-by-step explanation:

length×width

4.8×4.8

correct me if im wrong:)

Courtney is ordering nachos at a restaurant, and the server tells her that she can have up to three toppings: pico de gallo, onions, and steak. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Courtney gets just onions and steak

Answers

Answer:

[tex]Probability = \frac{1}{9}[/tex]

Step-by-step explanation:

Given

Toppings: Pico de gallo, Onions and Steak

Required

The probability of getting Onions and Steak

The probability is calculated using:

[tex]Probability = P(Onion)\ and\ P(Steak)[/tex] --- because the events are independent

[tex]P(Onion) = \frac{n(Onion)}{Total}[/tex]

[tex]P(Onion) = \frac{1}{3}[/tex]

[tex]P(Steak) = \frac{n(Steak)}{Total}[/tex]

[tex]P(Steak) = \frac{1}{3}[/tex]

So, we have:

[tex]Probability = P(Onion)\ and\ P(Steak)[/tex]

[tex]Probability = P(Onion)\ *\ P(Steak)[/tex]

[tex]Probability = \frac{1}{3} * \frac{1}{3}[/tex]

[tex]Probability = \frac{1}{9}[/tex]

7. A quadratic function has the form y-ax' for
some nonzero value of a and (4, 48) is on the
graph. What is the value of a?

Answers

the answer is 27.29 trust

QUICK PLEASE HELP!!!
I’LL MARK BRAINLIEST!!!!

Answers

Answer:

c.vertical angle is the answer

Answer:

c

Step-by-step explanation:

vertical

correct answer is c

MEMO

To: All businesses in Simpsons Square Mall

From: Louise Pembrooke, Simpsons Square Mall Manager

Re: New garbage collection rules

Simpsons Square Mall has hired a new waste collection company. Quick Clean, Inc., will be collecting garbage and recycling from all businesses starting next Monday. Collection days will not change, nor will the types of garbage and recycling that are acceptable to dispose of. The pickup time will be two hours later, so please adjust your schedules accordingly.

Each business will be given one blue garbage can and one green recycling bin. Full garbage cans must weigh no more than 40 pounds. Recycling bins must weigh no more than 20 pounds. Do not overfill the garbage cans. Debris that is not in cans must weigh no more than 10 pounds. Items put in the compactor should weigh no more than 60 pounds, except in December when it may weigh up to 70 pounds. Put your garbage in the alley behind your business’s back door.

You own a store in Simpsons Square Mall. Each garbage can must weigh no more than:

10 pounds.
20 pounds.
40 pounds.
60 pounds.
70 pounds.

Answers

Answer:

hhhhhh

Step-by-step explanation:

i think it is 40

Y=-2x^2+16x-35
Axis of Symmetry?

Answers

Answer:

Step-by-step explanation:

y=-2x²+16x-35

=-2(x²-8x+16-16)-35

=-2(x²-8x+16)+32-35

=-2(x-4)²-3

axis of symmetry is x-4=0

or x=4

Answer:

y=2x^2+16x-35

a=2, b=16

x= -[tex]\frac{16}{2x2}[/tex]

x=-4

Find the lateral surface area of the following prism: 5 cm 4 cm 5 cm 8 cm 6 cm LSA = [?] cm2 Enter​

Answers

Answer:

Step-by-step explanation:

I was using 6×8 rectangle as a base of the triangular prism (as shows on the picture.

Let use the definition of a triangular prism and LSA = (5 + 5 + 6) × 8 = 128 cm²

The lateral surface area of the triangular prism is 128 square cm.

What is triangular prism?

A triangular Prism is a pentahedron. It is a 3-D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The edges and vertices of the bases are joined with each other via three rectangular sides.

For the given situation,

The sides of the triangle are 5 cm, 6 cm, 5 cm.

The length of the prism = 8 cm

The formula for lateral surface area of triangular prism is

[tex]LSA=(perimeter)(length)[/tex]

On substituting the above values,

⇒ [tex]LSA=(5+6+5)(8)[/tex]

⇒ [tex]LSA=(16)(8)\\[/tex]

⇒ [tex]LSA=128[/tex]

Hence we can conclude that the lateral surface area of the triangular prism is 128 square cm.

Learn more about triangular prism here

https://brainly.com/question/15070306

#SPJ2

5 11/12 + 3 9/12? Step by step

Answers

Answer:

Simplified: 9 2/3

Step-by-step explanation:

Convert the mixed numbers into improper fractions

To do this, multiply the denominator by the whole number and add the numerator: (denominator × whole number + numerator)/denoninator

First fraction:

5 11/12

(12 × 5 + 11)/12

(60 + 11)/12

71/12

Next fraction:

3 9/12

(12 × 3 + 9)/12

(36 + 9)/12

45/12

Substitute these fractions in the original problem now:

71/12 + 45/12

Add the numerators only. The denominators stay the same.

(71 + 45)/12

116/12

Now that the calculations are done, convert this back into a whole number

How many times does 12 fit into 116 equally? If you answered 9 times, then you are correct. This 9 will sit as the whole number in the fraction

12 × 9 = 108

This doesn't equal 116 perfectly so we must find the left over

116 - 108 = 8 left over (which is used as the numerator)

9 8/12

If your class or problem asks that you simplify your answer, then look at both the numerator and denominator to determine any common factors within them

8 and 12 both have common factors of 2 and 4

Since 4 is the bigger number, divide both 8 and 12 by 4 to simplify your answer

9 2/3

A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment.

Required:
Construct and interpret a 95% confidence interval for the true difference in the proportion of tomato plants like these that would experience damage after receiving the kelp treatment and no-kelp treatment.

Answers

Answer:

The 95% confidence interval for the true difference in the proportion of tomato plants like these that would experience damage after receiving the kelp treatment and no kelp treatment is -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901

Step-by-step explanation:

The given data are;

The number of the group 1 plants that exhibited damage = 12

The number of plants in group 1, n₁ = 50

The number of the group 2 plants that exhibited damage = 18

The number of plants in group 2, n₂ = 50

The proportion of group 1 plants that exhibited damage, [tex]\hat p_1[/tex] = 12/50 = 0.24

The proportion of group 2 plants that exhibited damage, [tex]\hat p_2[/tex] = 18/50 = 0.36

The z-value at 95% = 1.64

The confidence interval is given by the following formula;

[tex]C.I. = \hat{p}_1-\hat{p}_2\pm z^{*}\sqrt{\dfrac{\hat{p}_1\left (1-\hat{p}_1 \right )}{n_{1}}+\dfrac{\hat{p}_2\left (1-\hat{p}_2 \right )}{n_{2}}}[/tex]

Plugging in the values, we get;

[tex]C.I. = 0.24-0.36\pm 1.64 \times \sqrt{\dfrac{0.24\left (1-0.24 \right )}{50}+\dfrac{0.36\left (1-0.36 \right )}{50}}[/tex]

Therefore, C.I. = -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901

the ratio of boys to girls is 15:11 .if boys are 435 find the number of girls​

Answers

Answer:

[tex]Girls = 319[/tex]

Step-by-step explanation:

Given

[tex]Boys: Girls = 15:11[/tex]

Required

Find Girls, when Boys = 435

Substitute 435 for Boys

[tex]435: Girls = 15:11[/tex]

Express as fraction

[tex]\frac{Girls}{435} = \frac{11}{15}[/tex]

Multiply through by 435

[tex]435 * \frac{Girls}{435} = \frac{11}{15}* 435[/tex]

[tex]Girls = \frac{11}{15}* 435[/tex]

[tex]Girls = \frac{11* 435}{15}[/tex]

[tex]Girls = \frac{4785}{15}[/tex]

[tex]Girls = 319[/tex]

Helppppppppp plzzzzz !!!!
In a certain elementary school, 52% of the students are girls. A sample of 65 students is drawn.

1) What is the probability that less 60% of them are girls.

A) 0.0018

B) 0.8023

C) 0.8773

D) 0.9016

Type A, B, C, or D in the box

2) What is the probability that more than 70% of them to be girls.

A) 0.0018

B) 0.8023

C) 0.8773

D) 0.9016

Type A, B, C, or D in the box

3) Would it be unusual for more than 70% of them to be girls.

Type "usual" or "unusual" in the box

Answers

Answer:

a

c

b

i think those are right hope im not wrong good luck

What are the solutions to the quadric equation x^2-16=0

Answers

Answer:

x=4, x=-4

Step-by-step explanation:

x^2-16=0

Add 16 to both sides;

x^2-16+16=0+16

Simplify;

x^2=16

x=[tex]\sqrt{16}[/tex], x[tex]-\sqrt{16}[/tex]

[tex]\sqrt{16}[/tex]

=4

factor the number;16

[tex]\sqrt{4^2}[/tex]

=[tex]\sqrt{4}[/tex]

-[tex]\sqrt{16}[/tex]

Factor the number 16;

[tex]\sqrt{4^2}[/tex]

=-4

Can someone
Please
Help me

Answers

Answer:

First let's calculate the area of the bottom part

diameter is 34 m

so the radius (r) is 1/2 * 34 m = 17 m

bottom part is 1/2 of a circle

circle surface area formula is πr²

so surface area of our bottom part is 1/2 * πr²

1/2 * πr² = 1/2 * 3,14 * 17² = 453,73

so it's 453,73 m²

Triangle part consists of 2 smaller rectangular triangles

surface area for rectangular triangle is 1/2 * a * h

in our case a = r = 17 m and h = 30m

so one smaller rectangular triangle is 1/2 * r * h = 1/2 * 17 * 30 = 255

so it's 255 m²

and because our entire triangle part consists of 2 smaller rectangular triangles it's area is 2 * 255 m² = 510 m²

Surface area of the entire figure is a sum of 510 m² and  453,73 m²

510 m² +  453,73 m² =  963,73 m²

Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.
15, 16, 21
A Not a Triangle
B Acute
Obtuse
D Right

Answers

9514 1404 393

Answer:

  B  acute

Step-by-step explanation:

We can define a "form factor" for a triangle as ...

  f = a² +b² -c²

where c is the longest side length. It will be interpreted as follows:

negative -- obtuse trianglezero -- right trianglepositive -- acute triangle

For this triangle, our "form factor" is ...

  f = 15² +16² -21² = 225 +256 -441 = 40 . . . . a positive number

The triangle is Acute.

What is 21/1 divided by 1/4

Answers

Answer:

84

Step-by-step explanation:

To divide two fractions we turn the second fraction upside down and multiply two fractions

21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1

This can be written as 84

Which expression is equivalent to −3 2/3

Answers

Answer:

The answer is -3 - 2/3

Step-by-step explanation:

Just subtract

I have 6 yard of ribbon i want to make ornaments that use 1/4 yard each how many ornaments can I make​

Answers

Answer:

24

Step-by-step explanation:

It take 4 to make one yard and you need six yards soo..

6 x 4 = 24

Answer:

24 ornaments

Step-by-step explanation:

[tex]\frac{1}{4} = 25%[/tex]%

6 yards x 0.25 = 1.5 yards

[tex]\frac{6}{0.25} = 24[/tex] ornaments

to check:

24 ornaments x 0.25 yards each = 6 yards in total

The growing interest in and use of the Internet have forced many companies into considering ways to sell their products on the Web. Therefore, it is of interest to these companies to determine who is using the Web. A statistics practitioner undertook a study to determine how education and Internet use are connected. She took a random sample of 15 adults (20 years of age and older) and asked each to report the years of education they had completed and the number of hours of Internet use in the previous week. These data follow.

Education 11 11 8 13 17 11 11 11
Internet use 10 5 0 14 24 0 15 12
Education 19 13 15 9 15 15 11
Internet use 20 10 5 8 12 15 0

a. Employ a suitable graph to depict the data.
b. Does it appear that there is a linear relationship between the two variables? If so, describe it.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Education : 11 11 8 13 17 11 11 11 19 13 15 9 15 15 11

Internet use 10 5 0 14 24 0 15 12 20 10 5 8 12 15 0

Labeled scatter plot of Education and Internet Use is attached in the picture below.

Yes there appears to be a linear relationship between the two variables (Education and Internet Use) as the data points appears to have an upward trend depicted by the linear trend line in the graph.

The correlation Coefficient value which is measures the degree of linear relationship between education and internet use is 0.7048

D
E
с
Look at ABC. Points D, E, and F are the midpoints of their respective sides. Point G is the point of
concurrency for AD BE. and CF.
Which statement about point G is NOT true?

Answers

Answer:

D. Point G is the center of a circle that can be inscribe in ΔABC

Step-by-step explanation:

To inscribe implies constructing a required shape or figure within a given shape, thus touching the boundaries or sides of the given shape internally.

In the given figure if point G is used as the center of a circle, it would not form an inscribed circle in the given triangle. So that the appropriate answer is Point G is the center of a circle that can be inscribe in ΔABC. Thus, option D is not true.

Answer:

this was correct

Step-by-step explanation:

thank u

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