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pshichka [43]
3 years ago
10

Will Give BRAINLIEST for CORRECT answer! Please Help! A can of vegetables holds 454 mL of food and is 4.5 in. tall. What is the

diameter of the can? Please how all steps!!
Mathematics
2 answers:
Katena32 [7]3 years ago
8 0

Answer: the diameter of the can is 2.8 inches

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

height = 4.5 inches

Volume of can = 454 millilitres

1 cubic inch = 16.387 millilitres

Converting 454 millilitres to cubic inches, it becomes

454/16.387 = 27.7 cubic inches

Therefore

27.7 = 3.14 × r² × 4.5

27.7 = 14.13r²

r² = 27.7/14.13

r² = 1.96

r = √1.96

r = 1.4

Diameter = 2 × radius

Diameter = 2 × 1.4 = 2.8 inches

fredd [130]3 years ago
7 0
It would be 2.8 the diameter
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Answer:

6.36l

Step-by-step explanation:

We compute first the volume:

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We get: V=pi×20/3(12²+8²+12×8)=

20×pi/3(144+64+96)cm³

V=20×pi/3×304=6363.73cm³

In dm³ we have (divide by 1000) V=6.36dm³

By definition, 1dm³=1l, so the capacity is 6.36l

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A car can travel 396 miles on 22 gallons of gasoline.how much gasoline will it need to go 468 miles?
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Answer:

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What I did is I took the number of miles and divided it by the number of gallons to find how many gallons of gasoline were used per mile. Then I took that number of miles and divided 468 by it because that's the number of gallons we are trying to find. We ended up with 26 gallons of gasoline for 468 miles.

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A manufacturer knows that on average 20% of the electric toasters produced require repairs within 1 year after they are sold. Wh
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Answer:

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(b) The value of <em>y</em> is 15.

Step-by-step explanation:

Let the random variable <em>X</em> represent the number of electric toasters produced that require repairs within 1 year.

And the let the random variable <em>Y</em> represent the number of electric toasters produced that does not require repairs within 1 year.

The probability of the random variables are:

P (X) = 0.20

P (Y) = 1 - P (X) = 1 - 0.20 = 0.80

The event that a randomly selected electric toaster requires repair is independent of the other electric toasters.

A random sample of <em>n</em> = 20 toasters are selected.

The random variable <em>X</em> and <em>Y</em> thus, follows binomial distribution.

The probability mass function of <em>X</em> and <em>Y</em> are:

P(X=x)={20\choose x}(0.20)^{x}(1-0.20)^{20-x}

P(Y=y)={20\choose y}(0.20)^{20-y}(1-0.20)^{y}

(a)

Compute the value of <em>x</em> such that P (X ≥ x) < 0.50:

P (X \geq x) < 0.50\\\\1-P(X\leq x-1)

Use the Binomial table for <em>n</em> = 20 and <em>p</em> = 0.20.

0.411=\sum\limits^{3}_{x=0}[b(x,20,0.20)]

The least value of <em>x</em> that satisfies the inequality P (X ≥ x) < 0.50 is:

<em>x</em> - 1 = 4

<em>x</em> = 5

Thus, the value of <em>x</em> is 5.

(b)

Compute the value of <em>y</em> such that P (Y ≥ y) > 0.80:

P (Y \geq y) >0.80\\\\P(Y\leq 20-y)>0.80\\\\P(Y\leq 20-y)>0.80\\\\\sum\limits^{20-y}_{y=0}[{20\choose y}(0.20)^{20-y}(1-0.20)^{y}]>0.80

Use the Binomial table for <em>n</em> = 20 and <em>p</em> = 0.20.

0.630=\sum\limits^{4}_{y=0}[b(y,20,0.20)]

The least value of <em>y</em> that satisfies the inequality P (Y ≥ y) > 0.80 is:

20 <em>- y</em> = 5

<em>y</em> = 15

Thus, the value of <em>y</em> is 15.

3 0
3 years ago
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