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2 years ago

In Isaac's closet, the ratio of short-sleeve to long-sleeve shirts is 5:2.

Mathematics

2 answers:

torisob [31]2 years ago

8 0

Answer:

Step-by-step explanation:

The 5 part of the ratio relates to 30 short- sleeved shirts.

Divide by 5 to find the value of 1 part of the ratio

30 ÷ 5 = 6 ← value of 1 part , then

2 parts = 2 × 6 = 12 ← long- sleeved shirts

schepotkina [342]2 years ago

6 0

Answer:

12 long sleeved

Step-by-step explanation:

30 / 5 = 6

6 x 2 = 12

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elect the proper interpretation of a confidence interval for a mean at a confidence level of C % . a range of values produced by

Gnesinka [82]

Answer:

a range of values such that the probability is C % that a rndomly selected data value is in that range

Step-by-step explanation:

complete question is:

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2 years ago

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

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=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

$9 - 288x^{-2} = 0$

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$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

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2 years ago

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sesenic [268]

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