Answer:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Suppose the probability at a light bulb factory of a bulb being defective is 0.11
This means that [tex]p = 0.11[/tex]
Shipment of 133 bulbs:
This means that [tex]n = 133[/tex]
Mean and standard deviation:
[tex]E(X) = np = 133*0.11 = 14.63[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]
Rounding to the nearest integers:
The number of defective bulbs in the shipment should be around 15, give or take 4.
What is the area, in square units, of the parallelogram shown below?
21 s u
56 s u
63 s u
81 s u
Answer:
Area of parallelogram = 63 square units
Step-by-step explanation:
In the given parallelogram:
Height of parallelogram = 9 units
Base of parallelogram = 7 units
Find:
Area of parallelogram
Computation:
Using area of parallelogram;
Area of parallelogram = Height of parallelogram x Base of parallelogram
Area of parallelogram = 9 x 7
Area of parallelogram = 63 square units
[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]
Answer:
The decimal number system comprises digits from 0-9 that are 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9. Some of the decimal number system examples are: ... 34110, 5610, 678910, 7810. Now as we know to write decimal numbers till 10 let us use the 3 rules on a decimal system,to write further numbers.
[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]
Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. ... It also requires a dot (decimal point) to represent decimal fractions.
write an equivalent expression: −12(−2x+4y)
Answer:
24x-48y
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
−12(−2x+4y) = 24x - 48y
______
Melissa has two coupons for shoes. Coupon A: Coupon B: 15% off of S41 shoes $10 rebate on S41 shoes Choose the coupon that gives the lower price. Then fill in the blank with the correct value.
Answer:22
Step-by-step explanation:
The complete sentence is
The price with coupon B is $10 less than the price with coupon A.
It depends on the original price of the S41 shoes.
Coupon A offers a 15% discount on S41 shoes, while Coupon B provides a $10 rebate on S41 shoes.
Let's assume the original price of the S41 shoes is P dollars.
Using Coupon A, the discounted price would be 85% of the original price = (0.85 * P) dollars.
Using Coupon B, the price after the $10 rebate = (P - $10) dollars.
Now, compare (0.85 * P) with (P - $10).
simplify the expression (0.85 * P) < (P - $10) as
0.85P < P - $10
0.85P - P < - $10
-0.15P < - $10
P > (- $10) / (-0.15)
P > $66.67
Therefore, if the original price of the S41 shoes is greater than $66.67, Coupon A (15% off) will give a lower price. If the original price is lower than $66.67, Coupon B ($10 rebate) will give a lower price.
Learn more about Inequality here:
https://brainly.com/question/20383699
#SPJ4
Find a polynomial f(x) of degree 4 that has the following zeros. 7 (multiplicity 2), 0,-4. Leave your answer in factored form
Answer:
see below
Step-by-step explanation: 5 30 9 50
This is what I think they are asking for....
the zeroes are x = 0 x = -4 x = 7 twice ?? so
x(x+4)(x-7)² = 0
when I graphed the function it looked to be correct
Solve for the value of x. Round to the nearest tenth.
A jacket that normally sells for $160 is on sale for 25% off. What is the sale price of the jacket?
○ $40
○ $120
○ $135
Find the integration of (1-cos2x)/(1+cos2x)
Given:
The expression is:
[tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex]
To find:
The integration of the given expression.
Solution:
We need to find the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex].
Let us consider,
[tex]I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx[/tex]
[tex]I=\int \dfrac{2\sin^2x}{2\cos^2x}dx[/tex] [tex][\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x][/tex]
[tex]I=\int \dfrac{\sin^2x}{\cos^2x}dx[/tex]
[tex]I=\int \tan^2xdx[/tex] [tex]\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right][/tex]
It can be written as:
[tex]I=\int (\sec^2x-1)dx[/tex] [tex][\because 1+\tan^2 \theta =\sec^2 \theta][/tex]
[tex]I=\int \sec^2xdx-\int 1dx[/tex]
[tex]I=\tan x-x+C[/tex]
Therefore, the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex] is [tex]I=\tan x-x+C[/tex].
Complete the comparison 5+4. A.9+1. B.10+0.C.5-4.D.15-4
Answer:
A.5+4<9+1
B. 5+4<10+0
C. 5+4>5-4
D. 5+4=15-4
Step-by-step explanation:
A. 9<10
B. 9<10
C. 9>1
D9=9
Answer:
A=10>5+4
B=10>5+4
C=1<5+4
D=11>5+4
Step-by-step explanation:
The midpoint of the coordinates (9, 11) and (7,8) is
Answer:
The midpoint: (8,9.5)
Step-by-step explanation:
((9+7)/2,(11+8)/2))
Following are the three types of data sets: a. Vehicle speeds on highway I-5 (9 vehicles) 74, 82, 67, 73, 65, 41, 74, 49, 85 b. Sodium grams in canned soup (8 varieties) 4.22, 3.60, 2.68, 2.75, 2.70, 4.17, 2.72, 4.29 c. Campus health center visits (12 students) 1, 5, 6, 13, 2, 3, 1, 3, 3, 1, 4, 3 For each data set, find the median, midrange, and geometric mean. (Round your answers to 2 decimal places. Leave no cells blank. Enter 0 as an answer if undefined.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
A.)
Vehicle speeds on highway (9 vehicles) 74, 82, 67, 73, 65, 41, 74, 49, 85
Ordered data :
41, 49, 65, 67, 73, 74, 74, 82, 85
Sample size, n = 9
Median = 1/2 * (n +1) th term
Median = 1/2 * 10 = 5th term
Median value = 73
Midrange = (Maximum + minimum) / 2
Midrange = (85 + 41) / 2 = 126 / 2 = 63
Geometric mean : √(x1*x2*.. xn)^1/n
Geometric Mean:
(41*49*65*67*73*74*74*82*85)^1/n
= 66.19
B.)
Sodium grams in canned soup (8 varieties)
X = 4.22, 3.60, 2.68, 2.75, 2.70, 4.17, 2.72, 4.29
Ordered data:
2.68, 2.70, 2.72, 2.75, 3.60, 4.17, 4.22, 4.29
Sample size, n = 8
Median = 1/2 * (n +1) th term
Median = 1/2 * 9 = 4.5th term
Median value = (2.75+ 3.6) / 2 = 3.175
Midrange = (Maximum + minimum) / 2
Midrange = (4.29 + 2.68) / 2 = 3.485
Geometric mean : √(x1*x2*.. xn)^1/n
Geometric Mean:
(2.68*2.70*2.72*2.75*3.60*4.17*4.22*4.29)^1/8
= 3.32
C.)
Campus health center visits (12 students)
X : 1, 5, 6, 13, 2, 3, 1, 3, 3, 1, 4, 3
Ordered data :
1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 13
Sample size, n = 12
Median = 1/2 * (n +1) th term
Median = 1/2 * 13 = 6.5th term
Median value = 3
Midrange = (Maximum + minimum) / 2
Midrange = (1 + 13) / 2 = 7
Geometric mean : √(x1*x2*.. xn)^1/n
Geometric Mean:
(1*1*1*2* 3*3*3*3*4* 5*6*13)^1/12
= 2.82
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0
Answer:earthy
Step-by-step explanation:vuinh
Which triangle isn't similar to QRS?
Answer:
∆ RPQ
Step-by-step explanation:
__________________
YALL PLEASE HELP ME ASAP
Answer:
B
Step-by-step explanation:
Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years
Kate's dog was learning to balance a ball on his nose. The
first day he balanced the ball 6 out of 20 times; the second
day, 8 out of 25 times. Which day did he do better?
Answer:
The answer is the first day
(k+1)x^2-8kx+(3k+5) calculate the value for k
Answer:
Step-by-step explanation:
Let's simplify step-by-step.
(k+1)(x2)−8kx+3k+5
Distribute:
=(k)(x2)+(1)(x2)+−8kx+3k+5
=kx2+x2+−8kx+3k+5
Answer:
=kx2−8kx+x2+3k+5
maths question is here
9+92*12312
Answer:
it would be 101 i believe
Answer:
1,132,713
Step-by-step explanation:
9+ 92 * 12312
= 9 + 1,132,704
= 1,132,713
Help please!!!!!!!!!!!!!!!
Answer:
-1, 5
Step-by-step explanation:
no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1
Of the men in the survey, what percent of them prefer movies? Write your answer as a percent and round to one decimal place.
Answer:
40%Step-by-step explanation:
There are 20 men and 8 of them prefer movies.
P = 8/20 = 0.4 = 40%An engine runs for 3.2 hours. How many seconds did it run?
Answer:
11520 seconds
Step-by-step explanation:
3.2 x 60= 192 minutes
192 x 60= 11520 seconds
any one got reddit
mine is u/RealAd8482
I use to have reddit sorry
Answer:
Yes
Step-by-step explanation:
Mines is u/Brown_Bear17
Please look at the image
Answer:
2) <TWN and <SWM
Step-by-step explanation:
2) <TWN and <SWM
Answer:
(2)
Step-by-step explanation:
This is because they are both vertical to one another!
Hope this helps!
HELP ME PLEASE! 20 POINTS!
Answer:
1 no answer=1/100
2 no answer=1/100
3 no answer=100
Step-by-step explanation:
I need the answer. Please help.
===========================================================
Work Shown:
Use the tangent ratio
tan(angle) = opposite/adjacent
tan(B) = AC/AB
tan(61) = AC/1
tan(61) = AC
AC = tan(61)
AC = 1.80404775527142
AC = 1.8
The river is about 1.8 miles wide between points A and C.
Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1.
Each question Sandra answers incorrectly changes her overall score by -3/4 points. Sandras overall score was -4 1/2 points , and then she answered the last question incorrectly. What was Sandras final score
If w = 7a + 4b, which of the following equations is solved for a?
Answer: a= w - 4b/ 7
Step-by-step explanation:
Relationship in Figures
What are the first eight numbers in a Fibonacci sequence when N is equal to 1?
a. 1,2,3,4,5,6,7,8
b. 1,1,2,3,5,8,13,21
c. 3,0,2,3,2,5,5,7
d. 1,1,2,2,3,4,5,7
Please select the best answer from choices provided
Answer:
B. 1,1,2,3,5,8,13,21
Step-by-step explanation:
I calculated it logically
GUYS HELP PLS
You have 100ml of a solution that has a strength of 10mg/50ml.
This is diluted with a further 100ml of water.
How strong is the solution now per 50ml?
The temperature at 12 p.m. wa
34. The temperature at 12 a m
was-16. What was the difference
in the temperatures?
An elevator was at the 4floor
It traveled up 18 floors, down 7
floors, up 6 floors and down 2
floors. What floor did the elevator
end up on?
submarine was traveling at 62
feet below sea level. It rose 17
feet, dropped 250 feet, then rose 25
feet. What was the submarines
Final position?
Answer:
first is 52°C
Step-by-step explanation:
29x-7y=-17 solve for x
Answer:
[tex]x= -\frac{17}{29} +\frac{7y}{29}[/tex]
Step-by-step explanation:
[tex]29x-7y=-17[/tex]
[tex]x= -7y/29 + -17/29[/tex] Divide every number by x except