Answer:
a) the mean percentage of defective item produced is 2.52 %
b) the standard deviation of percentage of defective item produced is 1.01%
Step-by-step explanation:
Given that;
the percentage of defective items produced was 2%, 1.4%, 4%, 3%, 2.2%.
sample size n = 5
a) Calculate the mean for these data
mean percentage of defective item produced will be;
[tex]x^{bar}[/tex] = ∑x / n
[tex]x^{bar}[/tex] = ∑x / n = ( 2% + 1.4% + 4% + 3% + 2.2% ) / 5
[tex]x^{bar}[/tex] = 12.6 / 5
[tex]x^{bar}[/tex] = 2.52 %
Therefore, the mean percentage of defective item produced is 2.52 %
b) Calculate the standard deviation for these data
Formula for standard deviation is;
S = √( (∑(x-[tex]x^{bar}[/tex] )²) / (n-1) )
so we make a table;
x ( x - [tex]x^{bar}[/tex] )% ( x - [tex]x^{bar}[/tex] )²%
2% -0.52 0.2704
1.4% -1.12 1.2544
4% 1.48 2.1904
3% 0.48 0.2304
2.2%. -0.32 0.1024
summation 4.048
so (∑(x-[tex]x^{bar}[/tex] )² = 4.048%
so we substitute the value into our equation;
S = √( (∑(x-[tex]x^{bar}[/tex] )²) / (n-1) )
S = √( (4.048%) / (5-1) )
S = √( 4.048% / 4 )
S = √( 1.0121
S = 1.00598 % ≈ 1.01%
Therefore, the standard deviation of percentage of defective item produced is 1.01%
Question 4 (1 point)
Cookie Monster bought four packs of chocolate cookies and three packs of butter cookies for $17. Two packs of
butter cookies cost $6. All chocolate cookies cost the same and all butter cookies cost the same. What is the ratio of
the cost of a pack of chocolate cookies to the cost of a pack of butter cookies?
2:3
6 ÷ 2 = $3 (cost of 1 pack of butter cookies)
3 x 3 = 9 (cost of 3 packs of butter cookies)
17 - 9 = 8 (cost of 4 packs of chocolate cookies)
8 ÷ 4 = 2 (cost of one pack of chocolate cookies)
estimate each product 1/3 x 28
Answer:
28/3 approximated to 9 1/3
Step-by-step explanation:
multiply the fractions and estimate it to it's alternativve form
Which of the following are integers?
13
14
-16
147
1000000
-3
-0.35
Answer:
13 integer
14 integer
-16 integer
147 integer
100000 integer
-3 integer
-0.35 not integer
Explanation:
The integers are all negative or positive whole numbers
Answer:
213
Step-by-step explanation:
helllllpppppppppp i will brainlist plssssssssss
Answer:
9
Step-by-step explanation:
Eight times five is 40
40x225 is 9000
9000 divided by 1000=9
Answer: 9 liters in total = 9,000 milliliters
Step-by-step explanation: 25*8=200
225*40=9,000
9,000/1,000=9
9/5 = 1.8
Each teacher bought 1.8 liters = 1,800 milliliters of juice each
Hey can someone help?
What is the solution to the equation
3
x
+
2
+
5
x
=
16
?
Answer:
x= 7/4
(in decimal form) x= 1.75
HELPPPPPPPPPPPPP please
Answer:
a: 12 cm
b: I think it's 2.5 cm but someone might have to double check that
Step-by-step explanation:
how many hours in five days
Answer:
There are 120 hours in 5 days.
Answer:
5 days = 120 hours
Step-by-step explanation:
One day = 24 hours
5 days = 24*5 hours = 120 hours
It mostly just plain unitery method
Which two statements gives good definition of financial credit
Answer:
I dont see anything
Step-by-step explanation:
What could you divide and then multiply by to go from the first number to the second?
{First number: } 99 {Second number:) 143
Step-by-step explanation:
To get 1 , divide 99 by 99. From 1, multiply by 143 to get 143
or
in a single step, multiply 99 by 1/99 to get to 143
Hope it will help :)
Find the trigonometric ratios for sin C, cos C, tan C.
o
2
|(2, 2)
1
-3 -2 -1
1 2 3 x
-3
+(-2,-4)
What is the slope of the given line?
Jean is six years older than her brother Wayne. Three years from mow, the sum of their ages will be thirty-eight. Find their present ages
Answer:
Jean is 19 and Wayne is 13
Step-by-step explanation:
7(x + 4y)
7x+28y=35xy
PLEASE I NEED HELP SOMEBODY!
What is the decimal value of ⅖. Use factors of 2 and 5 to convert fraction into decimal. :
What is the decimal value of 5/25. Use Equivalent Fractions to convert fraction into decimal. :
Answer:
0.4 and 0.2.
Step-by-step explanation:
For the first problem, you divide 5 by 2.
[tex]\frac{2}{5} = 0.4.[/tex]
This gives you 0.4
For the second problem, we simplify the fraction, first.
[tex]\frac{5}{25} = \frac{1}{5} .[/tex]
Then, we divide 1 by 5.
[tex]\frac{1}{5} = 0.2.[/tex]
This gives you 0.2.
A chess club with 60 members is electing a new president. Christine received 21 votes. What percentage of the club members
voted for Christine?
Answer:
35
Step-by-step explanation:
[tex]\frac{21}{60}[/tex] x 100% = 35
PLEASEEEEEEEEEEEEEEE answer below
Evan is earning some extra cash by mowing lawns. It takes Evan 6 ¾ hours to mow 3 lawns. The first lawn takes him 2 ⅞ hours and the second lawn takes him 1 ¾ hours to mow. How long did it take Evan to mow the third lawn?
PLS HELP PLS HELP ME PLS
What is the measure for angle z?
Answer:
there's no angle z theres only x but the answer for x is 133
Step-by-step explanation:
Is this correct ?
F(4)=2(4 -1) (4-5)
F=-0.6666
Find the least common multiple of 5, 2, and 6.
.
X
?
Answer:
30
Step-by-step explanation:
please help me asap.
Answer:
its the third option i think
Step-by-step explanation:
Change x+2y=-6 into y=mx+b form
Answer:
y = -3 - x/2
Step-by-step explanation:
x + 2y = -6
You have to isolate y by minusing x on both sides
2y = -6 - x
Then you will isolate y by dividing both sides by 2
y = -3 - x/2
The distance from the origin to the point (-27,36)
The distance from the origin to the point (-27,36) is 45
We are going to make use of Pythagorean Theorem to determine the length of the hypotenuse of the right triangle:
Hence;
(0,0) to (-27,0)
(-27,0) to (-27,36)
Using this formula
c2 = a^2 + b^2
Let plug in the formula
c2 = (-27)^2 + (36)^2
c2=-729+1296
c2 = √2025
c = 45
Inconclusion The distance from the origin to the point (-27,36) is 45.
Learn more here:
https://brainly.com/question/862337
What is an equation of the line that passes through points (-2, -3) and (-1, 2)
Which number is equivalent to 3^(4)÷3^(2)
Answer:
9
Step-by-step explanation:
3^(4)÷3^(2)=9
PLEASE HELP ME !!!! 17pts
Consider the graph of f shown be
Estimate the average rate of change from X = 2 to x = 5.
Answer:
Average rate of change = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
We have to calculate the average rate of change of the graph at x = 2 to x = 5.
From the graph attached,
At x = 2,
f(2) = 3
At x = 5,
f(5) = 7
Since, average rate of change of the function between x = a and x = b is defined by,
Average rate of change = [tex]\frac{f(b) - f(a)}{b - a}[/tex]
Therefore, average rate of change of the function represented by the graph will be = [tex]\frac{7-3}{5-2}[/tex]
= [tex]\frac{4}{3}[/tex]
3x+8=14,X=2 write in inverse statement?
Answer:
Statement is - 3x + 8 = 14, x = 2
Let P - 3x + 8 = 14 , Q - x = 2
Conditional statement is -If 3x + 8 = 14 , then x = 2.
Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.
Converse statement - If x = 2 , then 3x + 8 = 14
Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14
Rewrite the following expressions using exponents.
1.5×5×5×5×5
2.21×21×21
3.3×3×3×3×3
4.(8)(8)(8)(8)
5.2.2.2.2.2.2.2.2
sagutin nyo po
i will follow you
Answer:
1. 5⁵
2. 21³
3. 3⁵
4. 8⁴
5. 2⁸
I'm pretty sure they are correct
A baseball and a bat cost 110 dollars. If the bat costs 100 more dollars than the ball, is much does the ball cost
Answer:
$10
Step-by-step explanation:
So the total amount of money needed is $110
And the bat is $100 more than the ball
So basically subtract $100 from $110
And you get $10 So the answer is $10
PLEASE HELP ME WITH THIS QUESTION
Answer: 108
Reason: I asked my teacher.
Answer:
105
Step-by-step explanation:
(6^2)=0.027
(3^3)=0.037
(3*6)^4=104,976
0.027*0.037*104,976= 104.87/ or 105