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)

Answer:

Step-by-step explanation:

100 bro

Answer:

Explanation:

11 - x < 7

Insert 5 into the equation

11 - 5 < 7

Simplify

6 < 7

Insert 3 into the equation

11 - 3 < 7

Simplify

8 < 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)

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).

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

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

Answer:

Parasitism

Step-by-step explanation:

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.

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 %

Answer:

-1x+4

Step-by-step explanation:

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

Answer:

ice sheets water vapor, and rivers

Step-by-step explanation:

vote brainiest if this helped

Answer:

c

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

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

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 :)

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:

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

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.

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

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

Answer:

Step-by-step explanation:

25:15

5x5=25

3x5=15

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.

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

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]

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

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]

Answer:

Step-by-step explanation:

Refer to attached graph

Statements

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′.

Answer:

A

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

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

Answer:

C

Step-by-step explanation:

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

Step-by-step explanation:

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