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Answer:

128π ft³ ; 401.92 ft³

Step-by-step explanation:

The volume of the cylinder Given above :

Volume of cylinder, V = πr²h

r =Radius = 4 ; h = 8 ft

V = π * 4² * 8

V = 16 * 8 * π

V = 128π ft³

Using π = 3.14

V = 128 * 3.14 = 401.92 ft³

Answer:

A 180-pound kangaroo's recommended height is 6 feet.

Step-by-step explanation:

Since 120-pound kangaroo is 5 feet tall and for every inch over this height we add 5 pounds to the total weight, we can make this formula. [tex]120+x=180[/tex]. Using this we can figure out the weight difference between a 120-pound kangaroo and a 180-pound kangaroo. After solving for x we get [tex]x=60[/tex].

Now that we know the 180-pound kangaroo weighs 60 more pounds than a 120-pound kangaroo we can divide that weight difference by 5 to figure out the height difference. [tex]60/5=12[/tex]

After getting the height difference from the weight difference we can conclude that a 180-pound kangaroo's recommended height is 5 feet and 12 inches. Since 12 inches = 1 foot we can easily convert 5' 12" to 6'. This means that a 180-pound kangaroo is 6 feet tall.

Step-by-step explanation:

This is my solution you honestly just need to cross multiply

Answer:

113.5

Step-by-step explanation:

32 : 4 = 908 : X

X = (4 * 908) / 32

X = 113.5

Answer:

The answer is:

C. The median for town A, 20°, is less than the median for town B, 30°.

Step-by-step explanation:

Median is the middle (center) value.

Option (C) the median for town A, 20°, is less than the median for town B, 30°.

Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

For the given situation,

The diagram shows the box plot of the daily low temperatures for a sample of days in two different towns.

From the box plot, the median of town A is 20° and the median of town B is 30°.

From the data,

⇒ [tex]20 < 30[/tex]

Hence we can conclude that option (C) the median for town A, 20°, is less than the median for town B, 30°.

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Answer:

-25

Step-by-step explanation:

-24×(-25)=600

Hope this helps! :)

Answer: It's -25

edg 2023

Answer:

f(-3) = -1/3

Step-by-step explanation:

-3 is less than -2 so we use the first function  1/x

f(-3) = 1/-3

Answer:

-1/3

Step-by-step explanation:

-3 is less than -2, so use the first one, 1/x and substitute -3 in

1/(-3)=-1/3

Answer:

The mean is 19.

Step-by-step explanation:

To find the mean, you add up all of the numbers then divide by how many numbers there are. So you would do 3+8+10+11+14+17+22+24+25+35+40, then divide it by 9 since there are 9 numbers shown, which gets you to 19.

Answer:

x^2/3

Step-by-step explanation:

Exponent properties!

x^4*x^9 for example,

we add the exponents because the base of the exponents is the same.

now back to the question

x^4/3 * x^2/3

we add those exponents!

6/3 or 2

so we have( x^2)^1/3

^2 and ^1/3 multiply!

we have x^2/3

Answer:

a

Step-by-step explanation:

ok

Answer:

The Answer to the Ultimate Question of Life, the Universe, and Everything is 42

Step-by-step explanation:

In this equation, the number 42 is called a minuend.

15 is a subtrahend because it is being subtracted from another number.

The number 27 would be called the difference.

Answer:

sheet needed=45

Step-by-step explanation:

1 sheet=120 words

x sheet=5400 words

x sheet=5400/120

x sheet =45

Answer:

b. 96

Step-by-step explanation:

triangle area= b x h / 2

5 x 6 /2= 15

15 x 4 (4 triangles)= 60

square area= b x h

6x6=36

36 + 60 = 96

Answer:

y=60 degrees ; x=120 degrees.

Step-by-step explanation:

All triangles' angles must add up to 180 degrees. An equilateral triangle has 3 equal sides and degrees. If it gives the angle of one all the other angles are the same. For x you see the parallel line below it with the line to the left going through with the same angle as the one below. The angles are the same and if it is labeled in one then it is the same in the other.

Answer:

5/12 is already in simplest form

Step-by-step explanation:

12m =  5r + 3y + 4b

red is chosen = 5r / 12 = 5/12

Step-by-step explanation:

the answer is 5/12. It's quite simple

Answer:

20

Step-by-step explanation:

Have a nice day :)

Answer:

x = 4.48

Step-by-step explanation:

read the picture

Answer:-7

Step-by-step explanation: -3^3+ 2

-9+2= -7

Answer:

18.75 packs of sugar

Step-by-step explanation:

20/8 = 2.5 (how many 8 ounce bottles in 20 oz)

2.5 * 30 = 75 (to find how many grams of sugar in the 20 oz bottle)

75/4 = 18.75 (how many packs of sugar it's equal to)

you can also use a ratio to solve:

8/30 = 20/x; cross multiply

600 = 8x; divide 8 on both sides

x = 75

75/4 = 18.74 (how many packs of sugar it's equal to)

Answer:

[tex]r =5[/tex]

Step-by-step explanation:

Given

[tex](h,k) = (-3,2)[/tex] -- center

[tex](x,y) = (1,5)[/tex] --- pass through

Required

The radius (r)

The equation of circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

So, we have:

[tex](1 - -3)^2 + (5 - 2)^2 = r^2[/tex]

[tex](4)^2 + (3)^2 = r^2[/tex]

[tex]16+9 = r^2[/tex]

[tex]25 = r^2[/tex]

Take square roots of both sides

[tex]5 = r[/tex]

[tex]r =5[/tex]

Answer:

5,-5

Step-by-step explanation:

Answer:

options 2, 3 and 5

Step-by-step explanation:

first of all, because

n²+3n+2n = 6n simplifies to n²+5n = 6n, which simplifies to

n² = n, which is not true for all n not equal to 0 or 1.

option 6 is not a valid reason, as it made a calculation error.

options 1 and 4 make invalid simplifications.

Step-by-step explanation:

there are 13 cards per 4 suits, totalling 52 cards in an entire deck

13 represents an entire 1 suit out of 52 cards

13/52 = 0.25

thus your answer is 0.25% or 1/4

Answer:

cos(3π/4) = -√2/2

Step-by-step explanation:

According to the unit circle, the exact value of cos(3π/4) is -√2/2.

The exact value of cos 3π/4 is - 1/√2

Here we have to find the exact value of

cos 3π/4

Since we know that,

The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

We can write,

cos 3π/4 = cos(π/2 + π/4)

Since we know that,

cos(π/2 + θ) = - sin θ

Therefore,

⇒ cos(π/2 + π/4)   = - sin π/4

                             = - 1/√2

Hence,

⇒ cos 3π/4 = - 1/√2

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Answer:

0.7408 = 74.08% probability that there are no surface flaws in an auto's interior.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of successes

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Mean of 0.03 flaws per square foot of plastic panel.

This means that [tex]\mu = 0.03n[/tex], in which n is the number of square feet.

Assume an automobile interior contains 10 square feet of plastic panel.

This means that [tex]n = 10[/tex], so [tex]\mu = 0.03(10) = 0.3[/tex]

What is the probability that there are no surface flaws in an auto's interior?

This is [tex]P(X = 0)[/tex]. So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = x) = \frac{e^{-0.3}*(0.3)^{0}}{(0)!} = 0.7408[/tex]

0.7408 = 74.08% probability that there are no surface flaws in an auto's interior.

The volume = Base × height = 12× 7 = 84 Cm³

Answer:

84

Step-by-step explanation:

Answer:

Step-by-step explanation:

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