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MatroZZZ [7]
2 years ago
12

Your current test average in Science is an 81. You’ve taken 5 tests. You only have one test remaining (there is not extra credit

on your test). You can raise your average to an 85.
Mathematics
2 answers:
stepladder [879]2 years ago
8 0
If you want to know what grade is needed to raise your average to an 85, add all tests, then divide by total number of tests to equal average of 85. The x value is the grade needed on the final to raise the overall class grade to an 85.

x= final test


(81 + 81 + 81 + 81 + 81 + x)/6= 85
add in parentheses

(405 + x)/6= 85
multiply both sides by 6

405 + x= 510
subtract 405 from both sides

x= 105 grade needed


ANSWER: Since there is no extra credit, it is impossible to raise the overall average to an 85 because they would need a final test grade of 105.

Hope this helps! :)
Leto [7]2 years ago
5 0
What exactly are you asking?
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Five data entry operators work at the data processing department of the Birmingham Bank. Each day for 30​ days, the number of de
Mice21 [21]

Answer:

Step-by-step explanation:

a)

  • p = Total Number of Defects / Sample Size x Number of Samples
  • 302 / 300 x 30 = 0.0336

  • z = Number of standard deviation = 3
  • σ = Standard deviation of sampling distribution
  • σ = p (1- p) / n = 0.0336 (1- 0.0336) / 300 = 0.0336 x 0.9664 / 300 = 0.0104

  • Here, n = number of observations in each sample

  • UCL = p+zσ = 0.0336 + 3(0.0104) = 0.0336 + 0.0312 = 0.0648 = 0.065

  • LCL = p-zσ = 0.0336 - 0.0312 = 0.0024 = 0.002

b) Hence, Lower control limit cannot be a negative number as percent defective cannot be a negative number. As such, No. Percent of defective records cannot be a negative number.

7 0
2 years ago
Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 50 km/h. After six hours,
Eva8 [605]
Let:
x = hours of travel
y = velocity

slope= rise/run slope=(y2-y1)/(x2-x1) 
(x1,y1) = (2,50) (x2,y2) = (6,54) 
sub values back into the equation m = (54-50)/(6-2) m = 1 
POINT SLOPE FORMy-y1 = m(x-x1) y-50= 1(x-2) y = x -2 +50
y = x + 48

B) 

the graph within the first seven hours can be obtained at point B

x = 7

y = 7+48 = 55
B(7,55)
4 0
2 years ago
The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of
grandymaker [24]

Answer:

At the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Step-by-step explanation:

We are given that the mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.

The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.

<u><em>Let </em></u>\mu<u><em> = mean gross annual incomes of certified welders</em></u>

So, Null Hypothesis, H_0 : \mu = $20,000    

Alternate hypothesis, H_A : \mu \neq $20,000

Here, null hypothesis states that the mean income of welders is equal to $20,000.

On the other hand, alternate hypothesis states that the mean income of welders is not $20,000.

Also, the test statistics that would be used here is <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;

                              T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean income

            \sigma = population standard deviation = $2,000

            n = sample size

Now, at the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

3 0
2 years ago
Circle E has a radius of 40 inches with = 324°. Find the exact length of
Anni [7]
Let the arc is ABC with angle 324 degree, to find the length of that arc follow the steps;
The circumference of the circle E is :C = 2 r π
C = 2 * 40 π = 80 π cm.
Also 324° / 360° = 0.9m Arc (ABC ) = 0.9 * 80 π = 72 π cm
There is also formula for calculating the measure of an arc:
m Arc = r π α / 180°
m Arc = 40 π * 324 / 180
= 40π * 1.8 = 72 π
Now we have to find the exact length ( π ≈ 3.14 ) 
m Arc ( ABC ) = 72 * 3.14 = 226.08 cm
8 0
2 years ago
Read 2 more answers
What algebraic expression could represent the average of 2x, x + 3, and 6x?
Gre4nikov [31]

Answer:

(5x = 2 = 3 +8a

Step-by-step explanation:

8 0
2 years ago
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