For a wall of a given material and of a fixed surface area, the rate of heat loss by conduction through the wall is inversely proportional to the thickness (T) of the wall, and directly proportional to the temperature difference (d) across the wall. The rate of heat loss could be given by which of the following expressions?A. 2d/T
B. 2 T/d
C. 2d + ½ T
D. 2(d + ½ T)
E. T/d

Answers

Answer 1

Answer: the answer is A .2d/T
Since d is directly proportional to the heat lost it should be the numerator
since T is inversely proportional to the heat lost it shoudl be the denormirator
that is 1/T ; 2 is the constant
the actual formula is R = kd/T

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Hi please help with a few (mean, median) math questions!1. A student wants to report on the number of movies her friends watch each week. The collected data are below: 1ST PIC ATTACHMENT Which measure of center is most appropriate for this situation and what is its value?Median; 1.5Median; 3Mean; 1.5Mean; 32. If the outliers are not included, what is the mean of the data set?76, 79, 80, 82, 50, 78, 83, 79, 81, 82777879803. Given the box plot, will the mean or the median provide a better description of the center?2ND PIC ATTACHEMENT The mean, because the data distribution is symmetricalThe mean, because the data distribution is skewed to the leftThe median, because the data distribution is skewed to the leftThe median, because the data distribution is skewed to the right4. When the outliers are removed, how does the mean change?3RD PIC ATTACHEMENT The mean remains the same.The mean decreases by 2.The mean increases by 2.There are no outliers.
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The local pre-school ordered all new bicycles and tricycles for the new school year. Each bicycle and tricycle is shipped in its own box. Oddly, the manufacturer shipped all of the wheels in a separate box. If there are 16 boxes of bicycles/tricycles total and 45 wheels total, how many tricycles were ordered?please don't just put an answer i need an explanation too

Answers

there are 16 boxes total, and 45 wheels total.

we know that each bicycle/tricycle is in it's own box.
i'm going to use the variable "b" for bicycle and "t" for tricycle

b + t = 16
(because b is the amount of bicycles and t is the amount of tricycles)

now we know that there are 45 wheels total.
there are 2 wheels for a bicycle and 3 wheels for a tricycle

2b + 3t = 45

now we have a system of equations
b + t = 16
2b + 3t = 45

You can solve this multiple ways, but I'm going to use substitution.
b + t = 16 can also be written as b = 16 - t (if you subtract both sides by t)
then we can substitute this b = 16 - t into the other equations

2(16 - t) + 3t = 45

32 - 2t + 3t = 45
32 + t = 45
t = 13

now you can plug that back into the original equations

b + 13 = 16
b = 3

2b + 3(13) = 45
2b + 39 = 45
2b = 6
b = 3

If you have any more questions, feel free to ask!

teacher asked her students write down the number of hours studied rounded to the nearest half hour. she complies the results in develops the probability distribution below for randomly selected student. what is the mean of the probability distribution

Answers

Answer:

1.5

Step-by-step explanation:

The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.

Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:

M = Sum (xi) * P (xi)

We replace:

M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07

M = 1.5

Therefore, the mean of the given table is 1.5

Brendon had total job benefits of $39,500 last year. He was required to wear a shirt with the company logo on it for work that he was responsible for buying. Brendon purchased 12 shirts for work during the year at a cost of $23.95 each. He was also required to attend a training at a cost to him of $135. What was Brendon’s total employment compensation last year? a. $39,077.60 b. $39,212.60 c. $39,341.05 d. $39,922.40

Answers

Answer:

a. $39,077.60

Step-by-step explanation:

We have been given that Brendon had total job benefits of $39,500 last year. Brendon purchased 12 shirts for work during the year at a cost of $23.95 each.

To find Brendon's total employment compensation, we will subtract total expenses from Brendon's total job benefits.

Let us find the cost of 12 shirts by multiplying $23.95 by 12.

$\text{Amount spent on 12 shirts}=12* \$23.95$

$\text{Amount spent on 12 shirts}=\$287.40$

To find the total expenses we will add the cost of training in cost of 12 shirts.

$\text{Brendon's total expenses}=\$287.40+\$135$

$\text{Brendon's total expenses}=\$422.40$

Let us subtract total expenses from total job benefits.

$\text{Brendon’s total employment compensation last year}=\$39,500-\$422.40$

$\text{Brendon’s total employment compensation last year}=\$39,077.60$

Therefore, Brendon’s total employment compensation last year was $39,077.60 and option 'a' is the correct choice.

39,500 - (12 * 23.95) - 135 = 39,077.60

Find the balance in the account. $2,500 principal earning 4%, compounded quarterly, after 4 years

Answers

Answer:

$2941.45 will be the balance.

Step-by-step explanation:

Formula to find the final amount after 4 years with compound interest is

$A=A_(0)[1+(r)/(n)]^(nt)=2500[1+.04/4]^(4.4)=2500(1.01)^(16)$

= 2500×1.173 = $2931.45

Therefore $2931.45 is the final amount.

Formula:
A(t)=P(1+(r/n))^)nt)

A(4)=2500(1+(0.04/4))^(4*4)
A(4) = 2500(1.01)^16
A(4) = 2500*1.1726
A(4) = $2931.45

Tanya bought three adult tickets and one children's ticket to a movie for 24.60 Li bought five adult tickets and four children's tickets for 50.10 . Find the cost of one adult ticket and the cost of one children's ticket.

Answers

Answer:

adult tickets 6.9

children tickets 3.9

Step-by-step explanation:

3x + y = 24.60 L1

5x + 4y = 50.10 L2

5L1 - 3L2

15x + 5y = 123

-15x - 12y = -150.3

-7y = -27,3

y = -27,3/-7

y = 3.9

3x + y = 24.60

3x + 3.9 = 24.60

3x = 24.60 - 3.9

3x = 20.7

x = 20.7 / 3

x = 6.9

1) Area = 150 in?, width = 10 in
What’s the length =

Answers

Answer:

L = 15 in.

Step-by-step explanation:

area = L * W

150 = L * 10

L = 150 / 10

L = 15 in.

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