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kolbaska11 [484]
3 years ago
5

You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs S3 in labor

to change a bulb. Over a 10-year period. about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?
Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

11.95 dollars

Step-by-step explanation:

Cost of one LED bulb = 6.95 dollars

Cost of changing one bulb = 3 dollars

Life of each bulb = 5 years.

In 10 years, only one time after 5 years the bulbs would have been changed

Hence cost of 100 lamps = 695 and

cost of changing once = 500

Total cost = 1195 dollars for 11 years

Divide this by 10 years to get average cost per year

Cost of 100 lamps per year = 1195/100 = 11.95 dollars


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Which of the values satisfy the following inequality
Ira Lisetskai [31]

Answer:

  A:  x = 20

  C:  x = -9

Step-by-step explanation:

You can solve the inequality and compare that with the offered choices, or you can try the choices in the inequality to see if it is true. Either approach works, and they take about the same effort.

<u>Solving it</u>:

Unfold it ...

  -17 ≤ x -7.5 ≤ 17

Add 7.5 ...

  -9.5 ≤ x ≤ 24.5

The numbers 20 and -9 are in this range: answer choices A and C.

_____

<u>Trying the choices</u>:

A:  |20 -7.5| = 12.5 ≤ 17 . . . . this works

B:  |-10 -7.5| = 17.5 . . . doesn't work

C:  |-9 -7.5| = 16.5 ≤ 17 . . . . .this works

D:  |27-7.5| = 19.5 . . . doesn't work

The choices that work are answer choices A and C.

6 0
4 years ago
The p-value for a two-sided test of the null hypothesis H0: μ = 10 is 0.06.(a) Would a 95% confidence interval for μ include the
emmasim [6.3K]

Answer:

a) Yes b) No

Step-by-step explanation:

Given that the p value for a two-sided test of the null hypothesis H0: μ = 10

is 0.06

a) p value = 0.06.\\Confidence level = 95%\\Significance level = 100-95 = 5%\\Alpha = 0.05\\\\p  \geq \alpha is true

Hence we accept null hypothesis

This implies that 10 will be within the confidence interval of 95%

b) If confidence level = 90%

\alpha = 0.10\\p value = 0.06\\p \leq 0.10

So we have to reject null hypothesis.

So we do not have 10 in the confidence interval

The reason is the lower the confidence level, the narrower the confidence interval.  In this case, 10 has gone outside the narrower interval hence we get this.

7 0
3 years ago
I need help on this worksheet for my math hw it’s combing like terms?
maw [93]
What you would do is combine the terms with variables, and combine the terms without.

Answers:
2. -2w-22
3. 15z
4. 7-16s
5. 17w
6. 4-6r
7. 21-8b
8. 8q
9. -18q-9
10. 12q-3

I hope I got all of these right if not that’s embarrassing haha I did all of them in my head I’m pretty sure they’re right

I hope I helped
3 0
3 years ago
Convert 48°36'12" to the nearest thousandth of a degree
uranmaximum [27]

48 degrees remains

divide minutes by 60

36/60 = 0.6

then divide seconds by 3600

12/3600=0.003 ( to nearest thousandth)

now add them all up

48 +0.6 + 0.003 = 48.603 degrees

5 0
4 years ago
Which of the following represents “6 less
kykrilka [37]

Answer:

C) 3x - 6

Step-by-step explanation:

Let the unknown number be represented by placeholder x.

Then the product of 3 and the number is represented by 3*x or 3x.

This value diminished by 6 corresponds to 3x-6.

So the expression representing the required overall construct mathematically is given by 3x-6

Option a, 6x-3 represents the difference of 6 times x and 3.

Option b, 3-6x represents the difference of 3 and (6 times x).

Option d, 6-3x represents the difference of 6 and (3 times x).

3 0
3 years ago
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