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Svetach [21]
3 years ago
15

A cellphone data plan costs 0.03 per gigabyte and has a 40.00 initial charge. What will be the total cost of the cellphone data

plan after using x gigabytes of data?
Mathematics
1 answer:
lbvjy [14]3 years ago
8 0

Answer:

0.03x+40.00

Step-by-step explanation:

You might be interested in
I) Consider the following figure,<br><br> ​<br><br> ​<br><br> ​
qwelly [4]

Step-by-step explanation:

If PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are <u>supplementary</u><u>.</u>

y + 68° = 180° { being opposite angles of cyclic quadrilateral }

y = 180° - 68°

y = 112°

x + 82° = 180° { being opposite angles of cyclic quadrilateral }

x = 180° - 82°

x = 98°

Hope it will help :)❤

4 0
2 years ago
if in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99%
Dahasolnce [82]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.

If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?

Given Information:

standard deviation = σ = 30 hours

confidence level = 99%

Margin of error = 6 hours

Required Information:

sample size = n = ?

Answer:

sample size = n ≈ 165

Step-by-step explanation:

We know that margin of error is given by

Margin of error = z*(σ/√n)

Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size

√n = z*σ/Margin of error

squaring both sides

n = (z*σ/Margin of error)²

For 99% confidence level the z-score is 2.576

n = (2.576*30/6)²

n = 164.73

since number of bulbs cannot be in fraction so rounding off yields

n ≈ 165

Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.

3 0
3 years ago
Solve for y. <br><br> y-260=-11/5*(x-60)
Otrada [13]

its -325

:3

hope this helped gooooood luck ;3

7 0
3 years ago
Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
3 years ago
Read 2 more answers
Chris made $184 for 8 hours of work. At the same rate, how much would he make for 13 hours of work?
pashok25 [27]

Answer:

$299

Step-by-step explanation:

Make a proportion

He makes $184 for 8 hours of work, and $x for 13 hours of work

184/8=x/13

To solve, we need to get x by itself. To do this, multiply both sides by 13. We multiply because x is being divide by 13, and we want to do the opposite.

13(184/8)=(x/13)13

The 13s on the right will cancel, leaving us with

13(23)=x

299=x

So, he will earn $299 for 13 hours of work.

4 0
3 years ago
Read 2 more answers
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