Answer:
20:16
Step-by-step explanation:
Subtract the number of sharpened pencils you have from the total number and you have your ratio.
Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods. (a) the normal approximation to the binomial (Round your answer to four decimal places.) (b) the exact binomial tables (Round your answer to three decimal places.)
Answer:
a) 0.0618 = 6.18% probability that the sample will contain at least three defectives.
b) 0.076 = 7.6% probability that the sample will contain at least three defectives
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
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]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Sample of 20 items is selected from the machine.
This means that [tex]n = 20[/tex]
5% defectives
This means that [tex]p = 0.05[/tex]
(a) the normal approximation to the binomial
The mean is:
[tex]\mu = E(X) = np = 20*0.05 = 1[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.05*0.95} = 0.9747[/tex]
The probability is, using continuity correction, [tex]P(X \geq 3 - 2.5) = P(X \geq 2.5)[/tex] , which is 1 subtracted by the pvalue of Z when X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 1}{0.9747}[/tex]
[tex]Z = 1.54[/tex]
[tex]Z = 1.54[/tex] has a pvalue of 0.9382
1 - 0.9382 = 0.0618
0.0618 = 6.18% probability that the sample will contain at least three defectives.
(b) the exact binomial tables
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.358[/tex]
[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.377[/tex]
[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.189[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.358 + 0.377 + 0.189 = 0.924[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.924 = 0.076[/tex]
0.076 = 7.6% probability that the sample will contain at least three defectives
solving a system of linear equations algebraically:
Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25
answer choices:
x=1
x=1.78
x=3
x=5.33
It was so easy xD
its x=1
y=12×1+7
y=-6×1+25
=19
In ΔVWX, x = 9.1 inches, w = 5.4 inches and ∠W=161°. Find all possible values of ∠X, to the nearest 10th of a degree
Answer:
NO POSSIBLE TRIANGLES
Step-by-step explanation:
Answer:
no possible triangles
Step-by-step explanation:
can someone please help me ? :)
Answer:
9.32millimetres
10. 7inches
Step-by-step explanation:
9. r=½diameter
r=½×64
r=32
10. volume=length×width×height
336=6×8×h
336=48h
h=336/48
h=7
Please tell me how and work!!!
Answer:
2) false, no
3) true, yes
4) false, no
5) true, yes
What is the area of this figure
The math department started a fundraiser with $20 and added $10 every week where the science department started with $50and added $5 every week how many weeks will it take for both departments to have the same amount of money ?
Answer:
4 weeks
Step-by-step explanation:
To find the answer, we have to look at the weeks that follow to see if they have the same amount of money.
Week 1
Math: $30
Science: $55
Week 2
Math: $40
Science: $60
Week 3
Math: $50
Science: $65
Week 4
Math: $60
Science: $70
Hope this helped!
Stay safe <3
Mac Cosmetic sells a lip gloss for $15.50, but it only costs the company $6 to make it what is the percentage markup on the lip gloss?
Answer:
158%
Step-by-step
$15.50 - $6 = $9.50 < Profit
Now To find The Percentage of the markup on the lip gloss?
You Divide $9.50 by $6 And You Will Get This 1.58333333333
For A Percent You Move The Decimal Point Back Two Spots And You Get
158%
I Hope You Understand and i hope i helped you
help plz ill give extra points
(10k0)(7k–1)(6k–4)
^ k to the 0 power
Answer:
1
Step-by-step explanation:
every single thing to the power of 0 is 1
Answer:
0
Step-by-step explanation:
Just look at the pic for the question
Answer: C
Step-by-step explanation:
A person locked or android phone with a swipe code on a phone with a 3 x 3 gridlock that’s considered an example where the swipe code must start with the top left button and must pass through two more buttons each executive button is adjacent up down left right or diagonal how many swipe codes are they possible
Answer 15,18
Answer:
15
Step-by-step explanation:
Answer:
It says 15 18 is correct
Step-by-step explanation:
HELP ME PLS ITS URGENT .. !❗❗❗❗❗❗❗❗❗❗❗❗❗
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
Answer:
A the answer is A ^w^ hope this helps
Which of the following is an odd function? • ) 1x) = 3x2 + x Nx) = 4x +7 1x) = 5x + 9 1x)= Br + 2x
An ice cream shop sells two type of cones: cake cones for $1.75 and waffle cones for $3.25. on tuesday, they sold 50 more waffles cones than cake cones. The total money they collected on cone sales on tuesday was $1422.50. How many cake cone did they sell on tuesday? ( this is a matrix word problem)
Can. Anyone help me please
Answer:
2. 8x=56
divide both sides of the equation by 8
8x divided by 8=56 divided by 8
any expression divided by itself equals 1
x=56 divided by 8
calculate the quotient
x=7
3. 918 divided by 3= 306
4. answer is 5/21
5&6 not sure
7. inches
8. not sure
Answer:
Q1. 4.5
Q2. 7
Q3. 306
Q4. 5/21
Q5. B. Cube
Q6. AEC and BED
Step-by-step explanation:
1. I found what 8*18 was, then I just divided that by 32 to find the missing value.
2. You want to reverse it and then solve so 56/8=7.
3. You can use a calculator for this 918/3=306
4. This you'd want to get the common denominators for each so just convert.
4/7*3/3=12/21
1/3*7/7=7*21
now just solve 12/21-7/21=5/21
5. Cube, there are 6 faces that are squares on it.
6. Acute angles are angles that are smaller than 90 degrees.
7. Feet, beds are long so feet are the best. Inches would be too little, miles are way too much, and gallons aren't even the right measuring unit.
8. So prime numbers are numbers that can only be divided by 1 and themselves so 1 is a prime number because if you divide 1 by 2 you get a fraction. So now we just want to find the prime numbers in this set.
1 is prime
2 is prime
3 is prime
4 is not prime; 4/2=2 whole number
5 is prime
this means that 4/5 numbers are prime, and 4/5=0.8 or 80%.
Hopefully, this helped you understand, feel free to lmk if you have any questions, and have a good day.
Which is greater 1.56 or 1.29
Answer:
1.56 is greater than 1.29. (Check after the decimal point, 5 is greater than 2, so 1.56 is greater than 1.29)
Answer:
I believe that 1.56 is grater than 1.29.
hope this helps.
In circle P with m NPQ = 46 and NP=20 units find area of sector NPQ.
Round to the nearest hundredth.
i will give brainly
Answer:
Round to the nearest hundredth.
Answer:
160.57
Step-by-step explanation:
The formula is:
[tex]angle/360 *\pi *radius^2[/tex]
Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.
[tex]46/360 * \pi *20^2[/tex] = [tex]23/180 * \pi *400[/tex]
= [tex]160.57029...[/tex]
Rounded to the nearest hundredth this would be 160.57
Which expression represents the number 142000 in Scientific Notation ?
Answer: 1.42 x 10^5
Step-by-step explanation:
Scientific Notation usually express in the form of [tex]c* 10x^{n}[/tex], where c is between 1 and 9.
142000
= 1.42 x 10^5
PLS HELP WILL MARK BRAINLEST
Answer:
uhhhhhhhhh help with what ?
Principle $1950 rate 4 1/2% time 9
Answer:
Interest = [tex] \boxed{\$ 789.75} [/tex]
Explanation:
Interest [I] = principle × rate × time [prt]
______________________________
x% = x/100
a b/c = a + (b/c) = (ac + b) / c
______________________
I = prt
I = ($1,950)(4 ½%)(9)
I = ($1,950)(0.045)(9)
I = ($87.75)(9)
I = ($789.75)
I = $789.75
Find the measure of 41.
s
839
41
41 = [?]
<1=97°
steps:
<1+83=180 co interior angle
<1=180-83=97°
HELP ASSAP I NEED TO FINISH THIS TEST AND TIS THE LAST ONE
Answer:
a=4
b=5
Step-by-step explanation:
Answer the question
Answer:
I think it's C
Step-by-step explanation:
Hope this helps you
The midpoint between x and 27 is -3. Find x.
Answer:
-33
Step-by-step explanation:
27-(-3)=30
-3-30=-33
The table shows a function. Is the function linear or non linear
Answer:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
simplify the following.
12x-3 (y-x)
Answer:
Divide both with 3.
12/3 = 4x
-3 divided by 3 = -1.
You end up with 4x-1 which is the final simplification.
Step-by-step explanation:
Answer:
This is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
f(x)=x² g(x) = (x + 3)2 +5 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f up/down by units and to by units. the right/left
Answer:
Me puedes informar mas?
Suppose you are taking the bus home, and can take either Route 51 or Route 82. You know that the Route 82 will arrive at the bus stop in exactly 5 minutes, but because Route 51 is unreliable, you believe that the amount of time until it arrives is uniformly distributed between 0 and 20 minutes. You take the first bus that arrives. Let T be the number of minutes you wait until you board a bus. Find E[T].
Answer:
E[T] = 10
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:
[tex]E = \frac{a+b}{2}[/tex]
Uniformly distributed between 0 and 20 minutes.
This means that [tex]a = 0, b = 20[/tex]
Let T be the number of minutes you wait until you board a bus. Find E[T].
This is
[tex]E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10[/tex]
E[T] = 10
Can someone actually helped me? People will answer and deleted their comment I really need help
Congruent Angle
Vertical Angle
Adjacent Angle
Complementary Angle
Supplementary Angle
Answer:
14) ∠CBE = 118° supplementary to 62°
15) ∠ABF = 28° complementary to 62°
16 ∠CBA = 152° because it is vertical to ∠DBF
Step-by-step explanation:
14) ∠CBE = 180° - 62° = 118°
15) ∠ABF = 90° - 62° = 28°
16) ∠DBF = 90°+ 62° = 152°
∠CBA = ∠DBF