A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)

Answers

Answer 1

Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042

This outcome would warrant a replacement cup.

Step-by-step explanation:

Let x be a random variable that represents the temperature of hot chocolates.

GIven: Mean temperature = 175 degrees

standard deviation = 8.1 degrees

The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]

[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]

Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)

i.e. this outcome would warrant a replacement cup.


Related Questions

-1/2(2x-8) distribution

Answers

Answer:

-1x+4

Step-by-step explanation:

-1/2 times 2x equals -1x. -1/2 times -8 equals 4.

what is the answer
y-11=25-3y

Answers

Answer:

9

Step-by-step explanation:

y-11=25-3y

y + 3y = 25 + 11

4y = 36

y = 36 / 4

y = 9

Hope it will help :)

I put a random subject but can u please help with this question

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Answer:

Parasitism

Step-by-step explanation:

i need help on this pls​

Answers

Answer: 10

Step-by-step explanation:

All you have to do to get the bottom number is add the numbers already there

Answer:

The width is equal to 12 meters

Step-by-step explanation:

The Volume equals length x width x height. In our case, we know the length and the height so we can find the width the following way...

V = (l)(w)(h)

[tex]w = \frac{V}{(l)(h)}[/tex]

[tex]w = \frac{288}{(4)(6)}[/tex]

[tex]w = \frac{288}{24}[/tex]

w = 12 m

A number is divided into two parts, such that one part is 10 more than the other, if the two parts are in the ratio 5:3, find the number and the two parts.

Answers

Answer:

Step-by-step explanation:

25:15

5x5=25

3x5=15

pls help math qucikly

Answers

Answer:

1/3

Step-by-step explanation:

How many parts does the net of a cylinder have?

four
three
two
five

Answers

Answer:

the net of a cylinder has 3 parts to it

Answer:

B three

Step-by-step explanation:

The net of a cylinder consists of three parts: One circle gives the base and another circle gives the top. A rectangle gives the curved surface.

The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?

Answers

Arrives in Leeds at 11:50 am

Distance = speed x time

Rearrange the formula

Time = Distance/speed

D = 210 miles; S = 90

Time = 210/90 = 2.33 hours

First add 2 hr and then add 0.33333 hr

9:30 + 2 hr = 11:30

Converting 0.33333 into min

0.33 x 60 = 20 min

11:30 + 20 min = 11:50 am

4 In February, Alec had 1,581 visitors to his website. In March, he had 1,321 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? if necessary, round to the nearest tenth of a percent​

Answers

Answer:

It is 16.4 %

Step-by-step explanation:

Subtract 1581 and 1321 to get how much it decreased.

It decreased by 260 so find what percent of 1581 is 260.

260/1581 = 0.164 which is 16.4 %

What is the x- coordinate of the ordered pair that satisfies this system of linear equations?

Answers

The answer is 0 because the ordered pair is (0,-2)

Plzzzzzz helpppppp!!!!!!

Answers

Answer:

h(x) ≤ 5

Step-by-step explanation:

The function and boundaries given are;

h(x) = x + 2, x < 3

And ;

h(x) = -x + 8, x ≥ 3

Now,in the first condition, the maximum value of x will be 2. This means the maximum value of h(x) there is;

h(2) = 2 + 2 = 4

For the second condition, x ≥ 3. Thus, the maximum value of x is 3.

This means that the maximum value of h(x) here is;

h(3) = -3 + 8 = 5

Foe the 2 conditions combined it is clear that the maximum value of h(x) is 5.

Thus,we can say; h(x) ≤ 5

Which one doesn't belong? 100, 25, 36, 30

Answers

Answer:

Step-by-step explanation:

100 bro

Figure ABCD is reflected over the y-axis to obtain figure A′B′C′D′ below: A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5. Which statement best describes the relationship between the two figures? Figure ABCD is similar to figure A′B′C′D′. Figure ABCD is bigger than figure A′B′C′D′. The measure of angle D is equal to the measure of angle A′. The measure of angle D is equal to the measure of angle B′.

Answers

Answer:

A. Figure ABCD is similar to figure A′B′C′D′

Step-by-step explanation:

Refer to attached graph

Statements

Figure ABCD is similar to figure A′B′C′D′.

True. Similar sides and congruent angles.

Figure ABCD is bigger than figure A′B′C′D′.

False. They have same area.

The measure of angle D is equal to the measure of angle A′.

False. D is equal to D'

The measure of angle D is equal to the measure of angle B′.

False. D is equal to D'.

Answer:

A

Step-by-step explanation: The Person AbovE Is 100% Right and I can't explain this question any better.

Express 3 kilograms as a fraction of 1800 grams

Answers

Answer:

3000/1800 = 5/3

Step-by-step explanation:

3 kilograms is 3000 grams = 3000/1800 simplified to the smallest is 5/3

sorry if this isn't what you're looking for

Please help
Solve the equation.
2 x/-10=2/5

Answers

i belive 2x is -4 but if it’s wrong pls dont be mad
Answer: x=16

Step by step explanation: 2+ x/-10 = 2/5
⇔ -20 + x = -4
⇔x = 16

Hope this helps(:

HELP IT EASY PLEASE D::::::

Answers

Answer:

36 inches

Step-by-step explanation:

The area formula for a rectangle is length times width times height

If you fill in the equation with the values given in the picture then your answer is 3

3 times 12 is 36

Is either x=5 or x=3 a solution to 11- x <7

Answers

Answer:

x = 5

Explanation:

11 - x < 7

11 minus a number is less than 7

Insert 5 into the equation

11 - 5 < 7

Simplify

6 < 7

This is true

Insert 3 into the equation

11 - 3 < 7

Simplify

8 < 7

This is falsex = 5 is a solution to the equation 11 - x < 7

- PacificNorthwest

Answer:

x=5 is the correct answer

Step-by-step explanation:

First we start off to see if x=3 could work (put the x value in)

11-3<7

(11-3=8)

8<7   This is false

Now lets try the other one-

11-5<7

(11-5=6)

6<7

The value x=5 is the correct answer

P.S If you don't mind, could I have brainlest? (if you think my answer is the best)

Plzzzzz help meeee


Which correctly lists three places that fresh water is found?
rivers, oceans, lakes
oceans, coastal wetlands, seas
ice sheets, water vapor, rivers
water vapor, streams, oceans

Answers

Answer:

ice sheets water vapor, and rivers

Step-by-step explanation:

vote brainiest if this helped

Answer:

c

Step-by-step explanation:

A loan of $20,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $41,000 or more?​

Answers

Answer:

Step-by-step explanation:

11 years

Using the compound interest formula. :

Final amount, A = 41000 or more

Rate, r = 7% = 0.07

Loan amount, P = 20,000

Number of compounding times per period = 1

A = P(1 + r/n)^nt

41000 = 20000(1 + 0.07)^t

41000/20000 = 1.07^t

2.05 = 1.07^t

t = log(2.05) / log(1.07)

t = 10.609727

t = 11 years

Marvin was buying soil for his flower garden. What would be the most reasonable amount of soil he would need to buy for a flower garden? A. 6 grams B. 60 liters C. 60 kilograms D. 6,000 kilograms

Answers

Answer:

60 liters

Step-by-step explanation:

Answer:

C. 60 kilograms

Step-by-step explanation:

The person above me is incorrect because liters is used on liquids

-2/3- (-3/4)

Simplify if needed
Brainliest

Also, 5/6+5/12

Answers

Answer:

[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]

[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]

Step-by-step explanation:

Given

[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]

Required

Solve:

[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]

Open bracket

[tex]-\frac{2}{3} - (-\frac{3}{4}) = -\frac{2}{3} +\frac{3}{4}[/tex]

Take LCM

[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{-8+9}{12}[/tex]

[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]

[tex]\frac{5}{6} + \frac{5}{12}[/tex]

Take LCM

[tex]\frac{5}{6} + \frac{5}{12} = \frac{10+5}{12}[/tex]

[tex]\frac{5}{6} + \frac{5}{12} = \frac{15}{12}[/tex]

Divide by 3/3

[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]

Leslie bought 5.2 gallons of gas. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Leslie bought?
A 5.72 L

B 1.37 L

B 19.76 L

D 7.1 L

Answers

Answer:

C

Step-by-step explanation:

A bacteria culture grows at a rate of 16% per hour. If there were 25 bacteria present in the culture to start, how many bacteria are present after one day?

Answers

Step-by-step explanation:

me kuch nhi karunga

When a solid directly changes to gaseous state on heating , without changing to the liquid state , the gaseous material so formed is called?

There are some apples and 8 pears in a basket. Each of them is either green or yellow. There are three more apples than the total number of green fruit. There are 6 yellow pears. How many yellow apples are there in the basket?

Answers

Answer:

5 yellow apples

Step-by-step explanation:

Pears = p ; apples = a

p = 8 ; let Number of apples = x

All fruits are either green or yellow

Total green fruits = x - 3

Number of yellow pears = 6

Green pears = total pears - yellow pears

Green pears = 8 - 6

Green pears = 2

Green fruits = green pears + green apples

x - 3 = 2 + green apples

Green apples = x - 3 - 2

Green apples = x - 5

Apples = green apples + yellow apples

Yellow apples = apples - green apples

Yellow apples = x - (x - 5)

Yellow apples = x - x + 5

Yellow apples = 5

Hence, there are 5 yellow apples

There are 5 yellow apples in the basket.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent green apples, b represent yellow apples, c represent green pears and d represent yellow pears, hence:

There are some apples and 8 pears in a basket:

c + d = 8

There are three more apples than the total number of green fruit:

a + b = a + c + 3

b = c + 3

c = b - 3

There are 6 yellow pears, d = 6. Since:

c + d = 8, hence:

b - 3 + 6 = 8

b = 5

There are 5 yellow apples in the basket.

Find out more on equation at: https://brainly.com/question/2972832

Find the surface area of the triangular pyramid. The side lengths of the base are equal.
8.7 cm
6 cm
10 cm
The surface area is
square centimeters.

Answers

Answer:

522.0

Step-by-step explanation:

10*6=60

60*8.7=522.0

or you can take out the zero either way that's the answer

Answer:

522.0

Step-by-step explanation:

Step-by-step explanation:

10*6=60

60*8.7=522.0

or you can take out the zero either way that's the answer

25 = 3x - 5
What does X equal?

Answers

Answer:

The answer is x = 10

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

hoped this helped!

brainly, please?

Answer:

x = 10

Step-by-step explanation:

Step 1: Flip the equation.

3x−5=25

Step 2: Add 5 to both sides.

3x−5+5=25+5

3x=30

Step 3: Divide both sides by 3.

Solve for y
2(3 + 3y) + y = 11

Answers

EQUATIONExercise

2(3 + 3y) + y = 11

First, apply the distributive property:

2(3 + 3y) + y = 11

6 + 6y + y = 11

6 + 7y = 11

Substract 6 from both sides:

6 - 6 + 7y = 11 - 6

7y = 5

Divide both sides by 7:

[tex]\dfrac{7y}{7} = \dfrac{5}{7}[/tex]

[tex]\boxed{y = \dfrac{5}{7}}[/tex]

Answer. The value of y = 5/7.

What is the coefficient of the term 12p+9q

Answers

Answer:

The answer is 12.  

Step-by-step explanation:

12 is the coefficient because it is the number multiplied by the variable p in the equation.

I hope this helps u! :D

1) A ball is dropped from a height of 50 feet. How long after it is dropped will it reach a height of 18 feet?

Answers

Answer: 1.41 seconds

Step-by-step explanation:

The problem gives the initial velocity by saying "dropped." This indicates a velocity of zero. Acceleration can also be found because the object is in free fall. It would experience the acceleration of gravity. We can use the kinematic equation:

[tex](y_f-y_i)=V_it+\frac{1}{2}at^2[/tex]

The velocity term completely cancels because the object was dropped with an initial velocity of 0.

[tex](18-50)=\frac{1}{2} (32.17)t^2\\[/tex]

[tex]-32=-16.085t^2\\t=\sqrt{1.989} =1.41s[/tex]

PLEASE HELP ME!!!!!!!!!!!!!!!!!
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.

Answers

Answer:

1.8 gallons

SEE NOTE BELOW*

Step-by-step explanation:

2x10x16=320

2x20x10=400

400+320=720

720÷400=1.8 gallons

NOTE* This would be painting the four walls.  If you include the floor and ceiling:

2x16x20=640

720+640=1360

1360÷400=3.4 gallons

The least amount of paint needed to paint the walls of a room in the shape of a rectangular prism is 1.8 gallons (2 gallons approx).

What is rectangular prism?

Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.

The formula to calculate the total surface area of a rectangular prism is given as,

TSA of rectangular prism = 2(lb + bh + lh)

Where, l is length, b is breadth and h is the height of the rectangular prism.

Calculation for the paint required for rectangular prism:

The area of the sides of prism to be painted is

Area A = 2×(length×height) + 2×(breadth×height)

Length = 20 feet

Breadth = 16 feet

Height = 10 feet

A = 2×(20×10) + 2×(16×10)

A = 720 sq. feet

Now, the paint need for painting 400 sq. feet is 1 gallon.

Thus, paint required for 720 sq. feet is,

=> 720 ft² / 400 ft² /gal = 1.8 gal  

Therefore, for painting rectangular prism, the amount of paint required is 1.8 gal.

To know more about the prism, here

https://brainly.com/question/16803016

#SPJ2

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