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marissa [1.9K]
3 years ago
15

Bethany uses 8% of her paycheck to pay for gas. If she spent 34.12 on gas this week how much was her paycheck?

Mathematics
1 answer:
Schach [20]3 years ago
7 0

Answer: 426.5

Step-by-step explanation:

You know that she spent 34.12 on gas and you also know that that amount of money was the 8% of her paycheck.

Therefore, keeping the above on mind, you can write the following expression, where x is the total amount of money of her paycheck:

0.08x=34.12

When you solve for  x, you obtain the result shown below:

x=\frac{34.12}{0.08}\\\\x=426.5

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What is the number of liters in 90 gallons
erma4kov [3.2K]
The answer is 340.687 liters

6 0
3 years ago
Suppose the following number of defects has been found in successive samples of size 100: 6, 7, 3, 9, 6, 9, 4, 14, 3, 5, 6, 9, 6
Brut [27]

Answer:

Given the data in the question;

Samples of size 100: 6, 7, 3, 9, 6, 9, 4, 14, 3, 5, 6, 9, 6, 10, 9, 2, 8, 4, 8, 10, 10, 8, 7, 7, 7, 6, 14, 18, 13, 6.

a)

For a p chart ( control chart for fraction nonconforming), the center line and upper and lower control limits are;

UCL = p" + 3√[ (p"(1-P")) / n ]

CL = p"

LCL = p" - 3√[ (p"(1-P")) / n ]

here, p" is the average fraction defective

Now, with the 30 samples of size 100

p" =  [∑(6, 7, 3, 9, 6, 9, 4, 14, 3, 5, 6, 9, 6, 10, 9, 2, 8, 4, 8, 10, 10, 8, 7, 7, 7, 6, 14, 18, 13, 6.)] / [ 30 × 100 ]

p" = 234 / 3000

p" = 0.078

so the trial control limits for the fraction-defective control chart are;

UCL = p" + 3√[ (p"(1-P")) / n ]

UCL = 0.078 + 3√[ (0.078(1-0.078)) / 100 ]

UCL = 0.078 + ( 3 × 0.026817 )

UCL = 0.078 + 0.080451

UCL = 0.1585

LCL = p" - 3√[ (p"(1-P")) / n ]

LCL = 0.078 - 3√[ (0.078(1-0.078)) / 100 ]

LCL = 0.078 - ( 3 × 0.026817 )

LCL = 0.078 - 0.080451

LCL =  0 ( SET TO ZERO )

Diagram of the Chart uploaded below

b)

from the p chart for a) below, sample 28 violated the first western electric rule,

summary report from Minitab;

TEST 1. One point more than 3.00 standard deviations from the center line.

Test failed at points: 28

Hence, we conclude that the process is out of statistical control

Lets Assume that assignable causes can be found to eliminate out of control points.

Since 28 is out of control, we should eliminate this sample and recalculate the trial control limits for the P chart.

so

p" = 0.0745

UCL = p" + 3√[ (p"(1-P")) / n ]

UCL = 0.0745 + 3√[ (0.0745(1-0.0745)) / 100 ]

UCL = 0.0745 + ( 3 × 0.026258 )

UCL = 0.0745 + 0.078774

UCL = 0.1532

LCL  = p" - 3√[ (p"(1-P")) / n ]

LCL = 0.0745 - 3√[ (0.0745(1-0.0745)) / 100 ]

LCL = 0.0745 - ( 3 × 0.026258 )

LCL = 0.0745 - 0.078774

UCL = 0  ( SET TO ZERO )

The second p chart diagram is upload below;

NOTE; the red circle symbol on 28 denotes that the point is not used in computing the control limits

7 0
2 years ago
Whats the first term of geometric sequence ___ 1,5,25,
zzz [600]

Answer:

0,2

Step-by-step explanation:

the rule of this geometric sequence is: divide 5

we turn the sequence to 25,5,1,_

Like <u>25:5=5;5:5=1;</u><u>1:5=0,2</u>

I hope it'll help you much

Thank you for asking

7 0
3 years ago
18
Roman55 [17]

Answer:

  2.53×10^8 liters

Step-by-step explanation:

  (8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L

3 0
3 years ago
Identify the mean, median, and mode for the dot plot below.01 2 3 4MathBits.comNumbers of Brothers and SistersMeanMedianMode =
telo118 [61]

The mean, median and mode is 2 of the given data from the dot plot.

Given, the table is :

Number of brothers and sisters  0,0,1,1,1,2,2,2,2,2,3,3,3,4,4

First the mean

Mean = average which = sum of data points / # of data points

Sum of data points = 0+0+1+1+1+2+2+2+2+2+3+3+3+4+4 = 30

# of data points ( count the number of dots ) = 15

So average (mean) = 30/15

= 2

Next lets find the median.  

The median is the middle value.

We can find the median by listing the values and then meeting at the middle of the values

So we have 0,0,1,1,1,2,2,2,2,2,3,3,3,4,4

the list is odd, so we use median = n+1/2

= 15+1/2

= 16/2

= 8th term

= 2

Mode is simply the value that appears most.

The value that appears the most is 2 as it appears five times which is the most out of any other value.

Hence we get the mean, median and mode.

Learn more about Statistics here:

brainly.com/question/26941429

#SPJ9

               

6 0
1 year ago
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