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Setler79 [48]
3 years ago
6

Aurora has a cell phone plan that charges $65 for phone service plus $12 for each gigabyte of data used each month. If her bill

for September is $113,how many gigabytes of data did she use in September?
Mathematics
2 answers:
kondaur [170]3 years ago
4 0

Answer:

She used 4 gigabytes of data in September.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Phone service plan: $65 </em>
  • <em>Cost per gigabyte: $12 </em>
  • <em>Bill: $113 </em>

So, to find the number of gigabytes that she used we have to write an equation:

65 + 12x = 113

Where:

x = number of gigabytes

Solving for x

12x = 113-65

12x =48

x = 48/12

x =4

She used 4 gigabytes of data in September.

MatroZZZ [7]3 years ago
3 0

Answer:

The answer is 4 gigabytes of data were used

If you take 65 and add 12 to it 4 times you get 113 so the answer is 4.

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A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

7 0
3 years ago
A slice of pizza costs $1.57. How much will 27 slices cost?
elena-s [515]

It will be cost $ 42.39 for 27 slices of pizza

<h3>Further Explanation</h3>

A slice of pizza = $1.57

27 slices of pizza = the number of pizza x price/slice

                              = 27 x 1.57

We are going to use standard algorithm to solve this multiplication

  1.57        ⇒ 2 decimal places

<u>     27</u>    x   ⇒ 0 decimal place

 1099

<u> 314   </u>+

42.39        ⇒ 2 decimal places

In decimal number multiplication, the process is the same with the whole number multiplication. Only always remember when to put the decimal point in the answer.

<h3>Learn more</h3>

Total spend brainly.com/question/12203917

Decimal multiplication brainly.com/question/2308946

Decimal multiplication brainly.com/question/1254534

Keywords: multiplication, decimal multiplication, two digits number additional, additional, area, measurement

3 0
3 years ago
Read 2 more answers
What is the total area of the figure below?
Gnesinka [82]

Answer:

141 square inches

Step-by-step explanation:

Area of a triangle: Base*Height*1/2

Area of a trapezoid: Height * (Base1 +Base2) / 2

Triangle Base = 6

Triangle Height = 8

6*8*1/2 = 24 square inches

Trapezoid Height = 9

Trapezoid Base1 = 16

Trapezoid Base2 = 10

9*(16+10) / 2 = 117 square inches

Total = Area of triangle + Area of trapezoid

Total = 24 + 117 = 141 square inches

3 0
2 years ago
How do you solve ? <br>2(x−(3+2x)+9)=3x−8
PIT_PIT [208]

Hey there!!

Given equation :

... 2 ( x - ( 3 + 2x ) + 9 ) = 3x - 8

Using the distributive property.

... 2 ( x - 3 - 2x + 9 ) = 3x - 8

... 2 ( -x + 6 ) = 3x - 8

Using the distributive property.

... -2x + 12 = 3x - 8

Subtracting 12 on both sides.

... -2x = 3x - 8 - 12

... -2x = 3x - 20

Subtracting 3x on both sides.

... -2x - 3x = -20

... -5x = -20

Dividing by -5 on both sides.

... x = -20 / -5

... x = 4

<em>Hence, the answer is 4. </em>

Hope my answer helps!

6 0
3 years ago
Can you do this 3(2x-6)-7x+4?
Serjik [45]
3(2x-6)-7x+4
3*2x=6x. 3*-6=-18
-7x+6x=-1x. -18+4=-14
-1x/-1=x. -14/-1=14
X=14
7 0
3 years ago
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