The quality control manager of at Long John Silver's restaurant wants to analyze the length of time that a car spends at the drive-thru window waiting for an order. It is determined that the mean time spent at the window is 59.3 seconds with a standard deviation of 13.1 seconds. The distribution of time at the window is skewed right. The quality control manager wishes to use a new delivery system designed to get cars through the drive-thru system faster. A random sample of 40 cars results in a sample mean time spent at the window of 56.8 seconds. What is the probability of obtaining a sample mean of 56.8 seconds or less, assuming that the population mean is 59.3 seconds

The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.

To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.

In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:

diagonal = √(side^2 + side^2 + side^2)

Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:

diagonal = √(7^2 + 7^2 + 7^2)

diagonal = √(49 + 49 + 49)

diagonal = √147

diagonal ≈ 12.124 inches

Therefore, the correct answer is:

12 inches

This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.

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Answer:

(E KL),(F,LK)

Step-by-step explanation:

I don't know how to explain it sorry but the answer is right

The two rays are  LM→ & LK→  form the angle ∠KLM

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

So, here, the rays LM-> & LK-> form the angle ∠KLM.

Hence, The two rays are C. LM→ & F. LK→  form the angle ∠KLM.

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Answer:

[tex]y=4x-5[/tex]

Step-by-step explanation:

Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:

[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]

Answer: 29%

Step-by-step explanation:

This is correct on acellus :)

The probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Probability Formula = f/n

where,

f is the number of times an event occurs

n is the total number of trials

The probability is represented as:

P(Large | Hot)

This is calculated using:

P(Large | Hot) = n(Large and hot)/n(hot)

Using the data on the given table, we have:

P(Large | Hot)  = 22/(8 + 12 + 5)

P(Large | Hot)  = 0.88

In percentage

P(Large | Hot)  = 88%

Hence, the probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .

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Answer:

b

Step-by-step explanation:

Interest rate risk is the risk that a fall in interest rate would decrease the value of a fixed rate investment. e.g. bonds , real estate.

Interest rate dropped 3 months after the house was bought. Robert is facing interest rate risk

Income risk is the risk that the stream of income received from a particular investment would drop as a result of a fall in interest rate.

Inflation risk is the risk that inflation would decrease the value of an investment

Answer:

b

Step-by-step explanation:

Answer:

Half of 20 is 10(new radius)

10^2(radius being squared) = 100

Next step is to multiply by pi

100π cm2

Step-by-step explanation:

Formula of area of a circle:

πr^2

pi x radius squared

Answer:

12 / 2.4 = 5

Step-by-step explanation:

So the man is filling the bucket at 5 gallons per minute.

Dont trust me I just did the math and that is what I got....

Sorry if it's wrong

Answer:

A=2132

Step-by-step explanation:

Solution

A=a+b/ 2h=44+8/ 2·82=2132

Answer:

1. How many packages are delivered each hour.

2. Find the correlating variable on the graph.

3. 105 packages

4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.

Answer:

[tex]x=7\sqrt{2}\\y=7[/tex]

Step-by-step explanation:

Find the last angle of the triangle.

The sum of all the angles in a triangle is 180 degrees.

Y+90+45=180

Y = 45

Find x:

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

rewrite as

x=7/Sin(45)

x = 7squareroot 2

Find the last side of the triangle using the Pythagorean theorem.

y=√(7√2)^2−(7)^2

y=7

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Use the slope formula:

slope [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex][tex]\frac{1}{3}[/tex]

Let:

[tex](x_1 , y_1) = (-5 , 1)\\(x_2 , y_2) = (4 , 4)\\[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{4 - 1}{4 - (-5)} = \frac{3}{4 + 5} = \frac{3}{9}[/tex]

Simplify the fraction. Divide common factors from both the numerator and denominator:

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

[tex]\frac{1}{3}[/tex] is your answer.

~

Answer:

Step-by-step explanation:

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Y₂= 4

Y₁=1

X₂= 4

X₁= (-5)

Solve.

4-1/4-(-5)

4-1=3

4+5=9

=3/9

Divide.

3/3=1

9/3=3

=1/3

[tex]\large\boxed{\dfrac{1}{3}}[/tex]

Therefore, the slope is 1/3.

Answer:

Inches of fence Sam built each day = 108 inches per day

Step-by-step explanation:

Sam built a fence that was 54 feet long. She built the same length of fence each day for 6 days.

How many inches of fence did Sam build each day?

Total length of fence Sam built = 54 feet

How many inches of fence did Sam build each day?

Number of days = 6

Convert 54 feet to inches

1 feet = 12 inches

54 feet = 648 inches

Inches of fence Sam built each day = Total inches of fence built / number of days

= 648 inches / 6 days

= 108 inches per day

Inches of fence Sam built each day = 108 inches per day

Answer:

no its not a function

Step-by-step explanation:

the x-int. repeats its self

Answer :

ASA

ASA stands for “Angle, Side, Angle”. ASA refers to any two angles and the included side.

Answer:

It will be 8 meters long.

[tex]l = \sqrt{ {17}^{2} - {15}^{2} } \\ l = \sqrt{64} \\ l = 8 \: m[/tex]

Answer:17(milk):13(water)

Step-by-step explanation:milk is denser then water so its the bigger potion based on the picture, and u add all 3 cups of milk together and do the same for the water, again sorry if I am wrong

Answer:

47.34158

rounded to the nearest tenth of a minute: 47.3

Answer:

7cm

Step-by-step explanation:

588 / 12 = 49

[tex]\sqrt{49}[/tex] = 7 * Since 7 times 7 equals 49

Answer:

3x means you have three x's. Then 3x - x means you have three x's and you take away (subtract) one x. This would leave you with two x's.

Answer:

[tex]A\simeq3325.91[/tex]

Step-by-step explanation:

The amount formula in compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2500

[tex]r = 5.75\% = \frac{5.75\%}{100\%}=0.0575[/tex]

t = 5

n = 4 (quarterly in a year)

Then,

[tex]A=2500(1+\frac{0.0575}{4} )^{(4)(5)}\\\\A=2500(1+\frac{0.0575}{4} )^{20}\\\\A=3325.911985\\\\A\simeq3325.91[/tex]

Answer:

y=-2x

Step-by-step explanation:  

You could find the slope of line going through the points (2,-4) and (-1,2). It is

slope is -6/3 or -2

So the line is

Now plug in one of the points and the slope into point slope form and find the line

y+4=-2(x-2) or

y+4=-2x+4 so

y=-2x

Check it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.

-4=-2(2)

2=-2(-1)

Answer:

-45/4 or -11.25

I'm pretty sure this is right hope it helps

Answer:

Simplify the expression:

Exact form:

-27/4

Decimal form:

-6.75

Mixed number:

-6 3/4

Step-by-step explanation:

The / actually means to divided.

Answer:

68%

Step-by-step explanation:

The Empirical rule formula is given as:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Where

μ is the population mean

σ is the population standard deviation.

Step 1

Find the number of standard deviations from the mean

μ - xσ and μ + xσ

μ = 175

σ = 13

For 162

175 - 13x = 162

175 - 162 = 13x

13 = 13x

x = 13/13

x = 1

For 188

175 + 13x = 188

13x = 188 - 175

13x = 13

x = 13/13

x = 1

Hence, the data falls with 1 standard deviation of the mean

Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%

Answer:

The answer is 68%

Step-by-step explanation:

Answer:

25$

Step-by-step explanation:

i had this assignment before

Answer:

what are the answer choices and if 40 is an option then choose that!

Step-by-step explanation:

279/7= 39.85...

x= 40 (since you round) days

Answer:

45\

Step-by-step explanation:

it will be 8 units

hope it helps

Answer:

-6 2/3

Step-by-step explanation:

Answer:

yes because the truck is smaller than the parking space. the area is 66.25 sq. ft

Step-by-step explanation:

Answer:

5 + 3.5h = 29.50

Step-by-step explanation:

The flat fee means that you will be paid the money with no change to it.

So you will not multiply it.

3.5h means that you are adding 3.50 every hour according to the question

So summary:

5+3.5h = 29.50

Evaluation:

5+3.5h = 29.50

24.50 = 3.5h

h = 7

Sofia worked 7 hours

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