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cestrela7 [59]
2 years ago
10

A manufacturer wants to double the volume of a 3 in.×2 in.×6 in. 3 i n . × 2 i n . × 6 i n . box, while using as little extra ca

rdboard as possible. Which statement is true?
Mathematics
1 answer:
viktelen [127]2 years ago
6 0

Answer: 2 inch dimension will give smallest increase.


Step-by-step explanation:

Length = 3 in

width = 2 in

height = 6 in

Extra cardboard  means to find surface area

on doubling the length

length = 6 In

width = 2 In

Height = 6In

Surface area for the above dimensions = 2 [ 6x2+2x6+6x6] = 120 sq in

On doubling the width

length = 3 in

width = 4 in

Height = 6 inch

Surface area for the above dimensions= 2 [ 3x4+4x6+6x3] = 2[54] = 108 sq inches

On doubling height

Length =3 in

width = 2 in

Height = 12 in

Surface area for above dimensions = 2 [ 3x2+2x12+12x3] = 2[6+24+36] = 132 sq inch

On doubling width surface area is minimum.

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The average age of doctors in a certain hospital is 45.0 years old. Suppose the distribution of ages is normal and has a standar
Ad libitum [116K]

Answer: 0.7619

Step-by-step explanation:

Given : Mean : \mu=45.0

Standard deviation : \sigma =8.0

Sample size : n=9

We assume that the variable is normally distributed.

The value of z-score is given by :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

a) For x= 46.9 years

z=\dfrac{46.9-45.0}{\dfrac{8}{\sqrt{9}}}=0.7125

The p-value : P(z

Hence, the  probability that the average age of those doctors is less than 46.9 years =0.7619

8 0
2 years ago
What is the value of k in the equation below? 5k - 2k = 12? 1 1/5, 1 5/7, 3, 4
valkas [14]
Hi there!

5k - 2k = 12
Solve for K
3k = 12
Divide both sides by 3
3k/3 = 12/3
k = 4
The correct answer is : 4


I hope that helps!
Brainliest answer :)
8 0
1 year ago
Read 2 more answers
"The last time I bought this product, it cost $20.00 but it looks like it costs $29.60 today. Why such a large increase?"
Oksanka [162]

Answer:

The company decided to increase the price by $9.60, or by 48%.

Step-by-step explanation:

To measure the price difference in dollars is simple, just subtract the old price from the new one:

29.60 - 20 = 9.60

Divide the price change by the old price to find the price increase in percentage:

9.60 \div 20 = 0.48 \\ 0.48 \times 100\% = 48\%

5 0
2 years ago
Which two values of x are roots of the polynomial below?<br> 4x2-6x+1
viva [34]

Answer:

4x2-6x+1

∆=√-6^2-4×1×4

∆=√36-16=√20

∆=2√5

root1=(6+√20)/8

root2=(6-√20)/8

6 0
2 years ago
Tiffany buys a basket of watermelons on sale for \$9$9dollar sign, 9 before tax. The sales tax is 9\%9%9, percent. What is the t
Phoenix [80]

I know you got this from Khan Academy, and so the answer is $9.81. You probably don't care about how it is done, and you probably just want to put the answer and be done, but I will show you. You have to take the original price of $9 and multiply it with 9%, or 0.09, to get the amount of your tip. add the 9%, or $81. You can also just do 9*109%, or 9*1.09, to put these two steps together and add the original price and the tip.

3 0
2 years ago
Read 2 more answers
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