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Arada [10]
3 years ago
12

3 inches

Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Answer:

8

3

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 3207

Radius, r

Height, = 5

320π = π * 5 * r²

320 = * 5 * r²

320 = 5 * r²

r² = 320/ 5

r² = 64

r = 8 m

The lateral surface area of a cube is

LSA = 4s²

Where s = edge length

36 = 4s²

s² = 36/4

s² = 9

s =. sqrt(9)

s = 3

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Sam and Sully are electricians. The graph represents the amount in dollars that Sam charges in terms of the number of hours he w
creativ13 [48]

Answer:

The initial amount Sam charges is [$4 greater than] the initial amount Sully charges. Sam’s hourly rate is [$2 less than] Sully’s hourly rate.

A graph is attached for reference.

Step-by-step explanation:

Given is the graph that represents the amount in dollars that Sam charges in terms of the number of hours he works.

Where two points are (0,40) and (1,60).

Finding the slope,

m=\frac{(y2-y1)}{(x2-x1)} \\m=\frac{(60-40)}{(1-0)} \\m=\frac{20}{1} \\m=20

Let us find the equation now,

y-y1 = m(x-x1)

Substituting (0,40) as (x1,y1) and slope m = 20

y-40=20(x-0)\\y-40 = 20x\\y= 20x+40

Here the 'y' intercept 40 represents the initial charge of Sam.

On comparing the equations of Sam and Sully we observe that Sam initial charge is 40  dollars.

And Sully's initial charge is 36  dollars.

Thus Sam's initial charge is $4 greater than Sully's.

Similarly,

Slope represents their per hour charge.

The coefficient of 'x' represents their slope,

Slope in case of Sam,

y=20x+40 is '20'

And

Slope in case of Sully,

y=22x+36 is '22'

Thus on observing the slope 20 and 22, we say that the per hour charge of Sam is $2 less than that of Sully's.

4 0
3 years ago
A correct description of the line defined by y-6= -1/2(x+7) is
Helga [31]

Answer:

C

Step-by-step explanation:

The correct answer is C

Because taking the point to be (a,b)

y - b = m(x - a)  \\ \: is \: the \:  \: equation \:  \: of \:  \: a \: line

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A batch of 25 injection-molded parts contains 5 that have suffered excessive shrinkage. Round your answers to four decimal place
Firdavs [7]

Answer:

(a) The probability that the second part is the one with excessive shrinkage is 0.2000.

(b) The probability that the third part is the one with excessive shrinkage is 0.2000.

Step-by-step explanation:

Let the variable <em>X </em>ₙ denote the <em>n</em>th part that has  suffered excessive shrinkage.

(a)

It is provided that two parts are selected at random.

The parts are selected without replacement.

Now, for the two parts selected it is possible that either both have excessive shrinkage or only the second part has excessive shrinkage.

The probability that the second part is the one with excessive shrinkage is:

P (X₂) = P (X₂ ∩ X₁) + P (X₂ ∩ X₁')

         =[\frac{4}{24}\times \frac{5}{25}]+[\frac{5}{24}\times \frac{20}{25}]               (without replacement)

         =\frac{1}{30}+\frac{1}{6}

         =0.2000

Thus, the probability that the second part is the one with excessive shrinkage is 0.2000.

(b)

It is provided that three parts are selected at random.

The parts are selected without replacement.

Now, for the three parts selected it is possible that either all three have excessive shrinkage or any two of the three has excessive shrinkage or only the third part has excessive shrinkage.

The probability that the third part is the one with excessive shrinkage is:

P (X₃) = P (X₃ ∩ X₂ ∩ X₁) + P (X₃ ∩ X₂ ∩ X₁')

                 + P (X₃ ∩ X₂' ∩ X₁) + P (X₃ ∩ X₂' ∩ X₁')

         =[\frac{3}{23}\times \frac{4}{24}\times \frac{5}{25}]+[\frac{4}{23}\times \frac{5}{24}\times \frac{20}{25}]+[\frac{4}{23}\times \frac{20}{25}\times \frac{5}{24}]+[\frac{5}{23}\times \frac{19}{24}\times \frac{20}{25}]  

         =0.2000

Thus, the probability that the third part is the one with excessive shrinkage is 0.2000.

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3 years ago
a photo developer charges $0.25 per photo developed is the total cost of partial to the number of photos developed
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What is the total amount of photos. 
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