Suppose that 2% of produced computers by a company have defects, and defects occur independently of each other. a) Find the probability of exactly 2 defective computers in a shipment of 100 computers. b) The probability that a computer support specialist needs to test at least N computers in order to find one defective computer is 0.6676. Find N.
Answer:
a) P(exactly two defectives) = 0.2734
b) N [tex]\simeq[/tex] 55
Step-by-step explanation:
From the given information:
P(exactly two defectives) = P(X =2) = [tex]^{100}C_2 \times ( 0.02)^2 \times(1-0.02)^{100-2}[/tex]
[tex]= \dfrac{100!}{2!(100-2)!} \times ( 0.02)^2 \times(0.98)^{98}[/tex]
[tex]= 4950 \times 4 \times 10^{-4} \times 0.1380878341[/tex]
= 0.2734
Thus, P(exactly two defectives) = 0.2734
b)
To find:
P(X ≥ 1 )
let X be the random variable that obeys a binomial distribution, X represents the number of defectives,
∴
[tex]X \sim B ( N, 0.02)[/tex]
[tex]P(X \ge 1 ) = 1 - P(X < 1) \\ \\ P(X \ge 1 ) = 1 - P(X = 0)[/tex]
[tex]0.6676 = 1 - ^NC_0 \times (0.02)^0 (0.98)^N[/tex]
[tex]0.6676 = 1 - (0.98)^N[/tex]
[tex](0.98)^N = 1 - 0.6676[/tex]
[tex](0.98)^N = 0.3324[/tex]
N log (0.98) = log (0.3324)
[tex]N = \dfrac{log \ 0.3324}{log \ 0.98}[/tex]
N = 54.51824841
N [tex]\simeq[/tex] 55
please help 8th grade math
Answer:
I'm in the 8th grade and I could probably help you out
Step-by-step explanation:
Find two numbers . A and B , that have the product of 64and the sum of 16
Answer:
8 and 8
Step-by-step explanation:
8+8 = 16
8*8=64
you buy 11 bagels with a 20$ bill how m if change do you receive? how many bagels could you buy?
how to get 435 with 100,50,25,10,5,1
Answer:
You can't get 435 with addition
Step-by-step explanation:
But if you can use multiplication and addition
50 times 5 = 250
250 plus 50 = 300
300 plus 100 = 400
400 plus 25 = 425
425 plus 10 = 435
Answer:
50*6 + 100 +25 + 10 =435
Step-by-step explanation:
how many number of permutations are in the word : entree
Answer:
120
Step-by-step explanation:
entree has 6 letters so 6! in numerator and e repeated 3 times so 3! in denominator.
Help me with this please
Answer:
(a) Only A and B
g In an experiment, 37 randomly selected drivers drove from Pontiac to Detroit at random times. The travel time for these drivers was 39.0 minutes on average with a standard deviation of 4.8 minutes. Calculate and interpret a 99.9% confidence interval for the mean travel time for all possible drivers traveling from Pontiac to Detroit.
Answer:
CI = ( 36,6 ; 41,4 )
Step-by-step explanation:
CI = 99,9 % α = 0,1 % α = 0,001
We find z scre for α = 0,001 in z -table
z(s) = - 3,08
CI = μ₀ ± MOE where μ₀ = 39 min and MOE = z(s) * σ/√n
CI = 39 ± 3,08 * 4,8 / √37
CI = 39 ± 2,4315
CI = ( 36,6 ; 41,4 )
please look at photo and answer which one
Answer:
B
Step-by-step explanation:
Cara measured 8 2/3 yards of cloth she the cut it into 4 equal pieces. what was the length of each piece of cloth?
Answer:
2.16
Step-by-step explanation:
8 2/3 / 4 or 8.166/4
= 2.16 (don't round up because they all have to be equal)
William’s car used 2 gallons to travel 68 miles. How far can he travel on 9 gallons?
Answer:
306 miles
Step-by-step explanation:
68 / 2 = 34 miles on one tank of gas
34 x 9 = 306 miles
Solve for X!! I’ll give BRAINLIEST
Answer:
x = 75
Step-by-step explanation:
1. Find the inner angle (opposite from where x is), using the outer angle of 150.
Note: these two angles are supplementary, meaning that they add up to 180 degrees.
Since the outer angle is 150, the inner angle is 30 degrees because 150+30 = 180.
2. Find the other two angles to get x.
The red markings on the two sides of the triangle indicate that this is an isocoleses triangle. Isocoleses triangles have two congruent angles. This means that the remaining two angles will be the same.
With that in mind, recall what I said about the angles being supplementary. All angles in a triangle add up to 180. So, use the following equation and solve for x.
2x + 30 = 180 (Subtract 30 from both sides)
2x = 150 (divide by 2)
x = 75
3. x = 75
Answer:
X = 65 degrees
Step-by-step explanation:
180 - 150 = 30 the angle beside the 150 degrees
180 - 30 = 130 180 degrees is the sum of all three angles in a triangle
130/2 = 65 since both sides are equal the other 2 angles are the same
Please help and click on this. I've been trying to get this question on brainy for about 3 whole days and nobody bothers to answer. How many ounces of pure vinegar must be added to 80 ounces of a 10% solution to make a 25% solution? please and thank you
Answer:
32 ounces
Step-by-step explanation:
[tex]M_{1} v_1=M_2v_2\\(0.10)80=(0.25)x\\(1/0.25) (0.10)80=(0.25)x(1 /0.25)\\\frac{(0.10)80}{0.25} =32 ounces[/tex]
Prove that log(3) 7 is an irrational number
Answer:
Proof below
Step-by-step explanation:
Irrational and Rational Numbers
We need to use the basic property of logarithms:
[tex]log_b\ a=x\ \ \Rightarrow b^x=a[/tex]
We are given:
[tex]log_3\ 7[/tex]
And we will prove it's an irrational number, i.e., it's not a rational number.
Recall a rational number can always be expressed as a fraction a/b, where a and b are integer numbers. Thus, if the expression was a rational number, then:
[tex]\displaystyle log_3\ 7=\frac{a}{b}[/tex]
Applying the property:
[tex]\displaystyle 3^{\frac{a}{b}}=7[/tex]
Raising to the power of b:
[tex]3^a=7^b[/tex]
It's not possible to find two integers a and b that satisfy the condition above. That contradiction comes from the assumption that [tex]log_3\ 7[/tex] is rational, thus, it's proven [tex]log_3\ 7[/tex] is irrational.
what ratio is equivalent to 15/40?
Answer:
well for me
Step-by-step explanation:
I think it's 3/8
1. What type of solutions would we get from the quadratic equation
f (x)= 3x2 + 8x + 2?
Answer:
Double root / x = -3
Step-by-step explanation:
lin tried to reflect triangle ABC across line t. She knows somthing is wrong because the image isnt congruent to the original figure in the end result
1: what is one idea that lin probably understands about reflections?
2:what is one idea that lin doesnt understand about reflections?
3:Reflect triangle ABC correctly
Answer:
it is the repition image of something, how its made, i dont know the last one.
Step-by-step explanation:
For every 1,000 pounds of water in the ocean, there are 35 pounds of salt. If a person takes 173 pounds of ocean water, how much salt will he have?(tell me which letter, and explain why)
A: 605 pounds
B: 7.03 pounds
C: 6.06 pounds
D: 7 pounds
Answer:
C. 6.06
Step-by-step explanation:
173/1000=.173
.173*35== 6.06
Iftwo-thirdofa number increased by 10isequal to14,find the number
(यदि एउटा संख्याको दुई-तिहाई दशले बढाउँदा १४ बराबर हुन्छ भने त्यो संख्या
पत्ता लगाउनुहोस् ।)
Answer:
The number is 6.
Step-by-step explanation:
Let the number be x then,
By the question,
2/3 * x + 10 = 14
2x / 3 = 14 - 10
2x / 3 = 4
Cross multiply ✖
2x = 12
x = 12/2
x = 6
Hope it helps. :)
Umm, can somebody help me?
Answer:
the answer is 18.
Step-by-step explanation:
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $2220 and his stock in Company B was worth $3100. The stock in Company A has increased 25% since last year and the stock in Company B has increased 7%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
The total percentage increase in the investor's stock account is 14.5%.
What is the percentage?The percentage refers to the portion or ratio of a variable concerning another.
Like ratios, percentages are stated with the percentage sign (%). We also use percentages to show proportions.
For instance, the percentage increase in the investor's stock account is derived below to show how much the growth in value is compared to the original investments.
Whereas the dollar increase is $772, in percentage terms, it is 14.5%.
Data and Calculations:Company A Company B Total
Investments $2,220 $3,100 $5,320
Increase in value 25% 7%
Dollar increase $555 $217 $772
Total percentage increase = 14.51 % ($772/$5,320 x 100)
Thus, the total percentage increase in the investor's stock account is 14.5%.
Learn more about percentages at brainly.com/answer expert verified
#SPJ1
Help please!! I’ll give brainliest
Answer:
[tex]\boxed{f(n) = 4n + 16 }[/tex]
.
Step-by-step explanation:
We know that it is arithmatic squence
with a = 20 and b = 4
.
So
[tex]Un = a + (n - 1)b[/tex]
[tex]Un = 20 + (n - 1)4[/tex]
[tex]Un = 20 + 4n - 4[/tex]
[tex]Un = 4n + 16[/tex]
.
Happy to help :)
Amelia fills a bucket with 3.5 gallons of water. A gallon of water is approximately 8.34 pounds. What is the weigh, in pounds, of the bucket?
Answer:hehdjjdjfhrjrg
Step-by-step explanation:jejejdjfhbwbqkdjjcifirocicufjr
Which graph is defined by the function given below?
y= (x+3)(x +3)
-10
-10+
10-
A
B.
C
D.
Step-by-step explanation:
Since y = (x + 3)(x + 3), the root is x = -3.
Only Graph A touches the x-axis once.
Congruent triangle proofs
Answer:
SSS (Side Side Side)
The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.
SAS (Side-Angle-Side)
A second way to prove the congruence of triangles is to show that two sides and their included angle are congruent. This method is called side-angle-side. It is important to remember that the angle must be the included angle--otherwise you can't be sure of congruence. When two sides of a triangle and the angle between them are the same as the corresponding parts of another triangle there is no way that the triangles aren't congruent. When two sides and their included angle are fixed, all three vertices of the triangle are fixed. Therefore, two sides and their included angle is all it takes to define a triangle; by showing the congruence of these corresponding parts, the congruence of each whole triangle follows.
45.15 ÷ 21 what is the answer
If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answer:
(f - g)(x) = 2x - 3
Step-by-step explanation:
(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.
Hence, we can define it as:
(3x - 1) - (x + 2)
= 3x - x - 1 - 2
= 2x - 3
Therefore, (f - g)(x) = 2x - 3.
Hope this helped!
in the image shown, line n is a transversal cutting parallel lines l and m.
Answer:
hi im zachary Grace im a male please wait while i type your awsner ;) So, m = 180 - 110 or 70°. interior angles, so they have the same measure so i think its A or B i tried hope this helps
Answer:
choice b
Step-by-step explanation:
please hepl???
I will mark brainliest
Answer:
x = 59
Step-by-step explanation:
180 = 73 + x + (x-11)
180 - 73 + 11 = 2x
118 = 2x
x = 118/2
x = 59
What will be the result of substituting 2 for x in both expressions below!
PLZ HELP!!
Answer:
A
Step-by-step explanation:
edge