At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 32 minutes and a standard deviation of 3
minutes. Using the empirical rule, determine the interval of minutes that the middle
99.7% of customers have to wait.

Answer: y= -3(x+4)

Step-by-step explanation:

A wading pool is being filled with water from a garden hose at a rate of

6 gallons per minute. If the pool already contains 80 gallons of water and can hold 152 gallons, and it will take 12 minutes for the pool to overflow.

In this scenario, we have a wading pool being filled with water from a garden hose at a constant rate of 6 gallons per minute. The pool already contains 80 gallons of water, and its maximum capacity is 152 gallons. We want to find out how long it will take for the pool to overflow.

Let's use "t" as the variable representing time in minutes. After "t" minutes, the amount of water in the pool will be the initial 80 gallons plus the additional water being filled by the hose at a rate of 6 gallons per minute. We can express this mathematically as:

Amount of water in the pool after "t" minutes = 80 gallons + 6 gallons/minute * "t" minutes

Now, we want to find out when the pool will overflow. The pool's capacity is 152 gallons, so we set up an equation to represent this:

Amount of water in the pool after "t" minutes = 152 gallons

Substituting the earlier expression for the amount of water in the pool after "t" minutes:

80 gallons + 6 gallons/minute * "t" minutes = 152 gallons

Now, we have an equation to model the scenario: "80 + 6t = 152".

To find the time "t" it takes for the pool to overflow, we need to solve this equation for "t."

To solve for "t," we need to find the value of "t" that satisfies the equation we derived earlier:

80 + 6t = 152

To isolate "t," we'll perform the following steps:

Subtract 80 from both sides to move the constant term to one side of the equation.

80 + 6t - 80 = 152 - 80

This simplifies to:

6t = 72

Divide both sides by 6 to solve for "t."

t = 72 / 6

t = 12

So, it will take 12 minutes for the pool to overflow.

In summary, we have a wading pool being filled with water at a rate of 6 gallons per minute, and we want to know when it will overflow, given its current water level of 80 gallons and a maximum capacity of 152 gallons. The equation "80 + 6t = 152" models this situation, with "t" representing the time in minutes. Solving this equation will give us the time it takes for the pool to overflow.

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Answer:

b, 24

Step-by-step explanation:

b

1:3

6:18

6+18=24

I GOTCHU HOMIE

Answer:

The answer is 18.

Step-by-step explanation:

6 x 3 x 1 = 18

Answer:

The full mass is 500 kg.

Step-by-step explanation:

Let's break this down.

4% of the mass is 20 kg.

4% = 4/100 or 0.04

"of" = multiply

mass = our unknown value, x

is = equal sign

20 kg = our end result

Let's make an equation out of this.

4% of the mass is 20 kg.

0.04 • x = 20

Divide both sides by 0.04.

x = 500

The full mass is 500 kg.

Hope this helps!

Answer:

500 kg

Step-by-step explanation:

4% = 20 kg

→ Find 1% by dividing both sides by 4

1% = 5 kg

→ Find 100% by multiplying both sides by 100

100% = 500 kg

Answer:

the answer will be 244rhruiewowworbvrueie

Answer:

Step-by-step explanation:

soory i do not kno this one

Answer:

a. Diagonals bisect each other

b. Adjacent interior angles are supplementary

a. Diagonals bisect each other

b. Adjacent interior angles are supplementary

Answer:

got em

Step-by-step explanation:

Answer:

69 doritos

Step-by-step explanation:

mountain dew and 360 no scope =69 doritos

Answer:

C

Step-by-step explanation:

We know that ∠ 1 + ∠ 2 + ∠3 = 180 → (1)

and ∠ 3 + ∠ 4 = 180 → (2)

From (2) ∠ 3 = 180 - ∠ 4

Substitute ∠ 3 = 180 - ∠ 4 into (1)

∠ 1 + ∠ 2 + 180 - ∠ 4 = 180 ( add ∠ 4 to both sides )

∠ 1 + ∠ 2 + 180 = 180 + ∠ 4 ( subtract 180 from both sides )

∠ 1 + ∠ 2 = ∠ 4 → C

Answer:

20.24

Step-by-step explanation:

Recall SOH, CAH, TOA and realize that TOA is the easiest one

we have

[tex]tan(39)=\frac{x}{25}\\tan(39)*25=x\\20.24=x[/tex]

Answer:

b4

Step-by-step explanation:

Answer:

See answers below

Step-by-step explanation:

Expand the brackets. 7 ( 5 + g ) 11 ( 3s – 4 ) 4 ( 4 – x ) 8 ( 6 + 4w )

We will expand each of the bracket using distributive property

For the expression 7(5+g)

7(5)+7g

= 35+7g

For the expression 11(3s-4)

= 11(3s)-11(4)

= 33s-44

For the expression 4(4-x)

= 4(4)-4x

= 16-4x

For the expression 8(6+4w)

= 8(6)+8(4w)

= 48+32w

Answer:

679.6

Step-by-step explanation:

She need 1 2/3 more cups

Hope this helped :3

Answer:

523.6

Step-by-step explanation:

Here is the equation to get that answer:

V=4/3πr3=4/3·π·53≈523.59878

Answer:

837.8 ft²

Step-by-step explanation:

The formula for the volume of a cone of base radius r and height h is

V = (1/3)(base area)(height), which here is:

V = (1/3)(π·8² ft²)(12.5 ft), or

V  =  (π/3)(64 ft²)(12.5 ft) = 837.8 ft²

Answer:

The below right one

Step-by-step explanation:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.

1. 45 and 135

2. 45 and 45

3. know that triangles add up to 180 so:

95+40=135 either use algebra or just do 180-135 to get:

x=45

Step-by-step explanation:

they have 122.1 of total of cost

Answer:

It is assumed the full circular fencing is needed.

Circumference of the circle = the length of fencing:

Total cost:

Answer:

C) 16.97

Step-by-step explanation:

If the sides are 12, the hypotenuse is 12*(2^1/2) to the 45 - 45 - 90.

When you put 2*(2^1/2) into the calculator, you get 16.97.

Answer:

16.97

Step-by-step explanation:

Equation used:  c=[tex]\sqrt{ax^{2} +bx^{2} }[/tex]

Equation filled out: c=[tex]\sqrt{12x^{2} +12x^{2} }[/tex]

Next step:  c=[tex]\sqrt{288}[/tex]

Total: 16.97056 though to the hundreath place 16.97

So if both legs are 12 inches each, that mean that 12^2 +12^2  which totals out too 288, then you find the full square of 288 which leads out to 16.97!

Answer:13

Step-by-step explanation:

the shape gets small so it cant be 52

Answer:

63.6 feet

Step-by-step explanation:

Answer:

x=6.9

Step-by-step explanation:

[tex]x^{2} =6*8[/tex]

[tex]x=\sqrt{48}[/tex]

[tex]x=6.9[/tex]

[tex]hope[/tex] [tex]it[/tex] [tex]helps...[/tex]

[tex]have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day!!![/tex]

Answer:

answer what?

Step-by-step explanation:

Answer:

5. a) 96ft²

6.  c) 144ft²

Step-by-step explanation:

Given:

Ricky made approximately 4 goal points for every 7 of his shots on goal.

To find:

The probability that Ricky would make 2 goal points on two shots in a row during the season.

Solution:

Using the given information, the probability of a goal point on one shot is:

[tex]P(one\ goal)=\dfrac{4}{7}[/tex]

We need to find the probability that Ricky would make 2 goal points on two shots in a row during the season.

Since the both shots are independent events therefore,

[tex]P(Two\ goals)=P(one\ goal)\times P(one\ goal)[/tex]

[tex]P(Two\ goals)=\dfrac{4}{7}\times \dfrac{4}{7}[/tex]

[tex]P(Two\ goals)=\dfrac{16}{49}[/tex]

Therefore, the required probability is [tex]\dfrac{16}{49}[/tex].

Answer:

Volume = 904.32 units³

Step-by-step explanation:

Volume = 4/3πr³ = 4/3(3.14)(6³) = 904.32

Answer:

EF = 12

arc AG = 62°

Step-by-step explanation:

since ED = 13, EC = 13, so DF = 10/2 = 5

EF² + 13² - 5² = 169 - 25 = 144

EF = √144 = 12

∠AEG = 90° - 28° = 62°

arc AG = 62°

Answer:

its c ! just took the test :)

Option C is correct. The equation that matches the function shown in the graph is expressed as y = 3sin(x-π)

The general formula for a sine function is expressed as;

y = Asin(x+Ф)

A is the amplitude i.e the maximum point on the curve. From the diagram, we can see that the maximum point is at 3 (factor 3 elongates the curve).

A = 3

Also, since the graph translates to the right by π, hence Ф = -π

Substituting the resulting values into the formula, we will have;

y =3sin(x+ (-π))

y = 3sin(x-π)

Hence the equation that matches the function shown in the graph is expressed as y = 3sin(x-π)

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