Answer:
The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
The probability of a resistor’s being defective is x:
This means that [tex]\mu = nx[/tex], in which n is the number of resistors.
The resistors are sold in lots of 200
This means that [tex]n = 200[/tex], so [tex]\mu = 200x[/tex]
What is the probability that a given lot will violate this guarantee?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = 0) = \frac{e^{-200x}*(200x)^{0}}{(0)!} = e^{-200x}[/tex]
So
[tex]P(X \geq 1) = 1 - e^{-200x}[/tex]
The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.
Zoom in for a better look BUT HELP PLS ITS MY FINALS! I RLLY NEED HELP
Answer:
C.
Step-by-step explanation:
The word biodiversity means the variety of life and in this case, bats
Ecosystem 1 has the most variety bc it has the most number of different varieties of bats observed
hope this helps <3
Need help question #3. Show steps please
Answer:
B.
Step-by-step explanation:
We are given:
[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]
And we want to select its equivalent form.
Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.
We can simply rewrite and then distribute. First, by rewriting:
[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]
Distribute. Recall exponent properties;
[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]
Simplify:
[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]
This can then be separated (since its addition/subtraction) and integrated individually.
Hence, our answer is B.
Derek answered 42 out of 60 questions correct on the last test. What was his score as a percent?
Answer:
70%
Step-by-step explanation:
42/60 = 7/10
Find the area of the shaded polygons
Answer:
8
Step-by-step explanation:
you can find matches that make 1 and add them all up
Answer:
8 because of rsm
Step-by-step explanation:
Can y’all help me on a question 15?!
HURRY IM TIMED
WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Which equation can be used to find 55 percent of 900?
[tex] \frac{55 \times 1}{900 \times 1} = \frac{55}{900} \\ \\ \frac{100 \times 16.36}{55 \times 16.36} = \frac{1636}{899.8} \\ \\ \frac{900 \times 9}{100 \times 9} = \frac{8100}{900} \\ \\ \frac{55 \times 9}{100 \times 9} = \frac{495}{900} [/tex]
Answer: The last one
Just find it regularly by multiplying .55 by 900 to get the answer then choose the one that will give said answer.
Also eliminate the ones that are over 100% like the 2nd and 3rd one
Since its over 50% we know 55 isnt 1/2 of 900.
16.
C с
6.1 cm
А
B
120°
3.5 cm
o
Fig. 4.77 Circle
For the figure above:
(a) Calculate the area of the circle, centre 0.
(b) Calculate the area of the minor sector
АОВС.
(c) Calculate the area of the triangle AOB.
(d) Determine the area of the segment ABC
22
7
d determine the are of the segment ABC 22 7
Please need help thank
Answer:
1
Step-by-step explanation:
One member in the graph only went one time which is fewer than two times.
Please help me !!!!!!!!!!!!!
Question 7
(04.03 MC)
The graph below shows the price of different numbers of swim bags at a store:
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 15, 30, 45, 60, and 75. Points are shown on ordered pairs 0, 0 and 2, 15 and 4, 30 and 6, 45 and 8, 60. These points are connected by a line. The label on the x axis is Number of Bags. The title on the y axis is Price in dollars.
Which equation can be used to determine p, the cost of b swim bags? (5 points)
a
p = 7.50 + b
b
b = 7.50 + p
c
p = 7.50b
d
b = 7.50p
Answer:
IT's p=7.50b
Step-by-step explanation:
i took a test with this question
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
Mean: 10
Median: 10.5
Mode: none
Step-by-step explanation:
there is no mode, mean is 10 and median is 10.5
Pleaseee I need this now!
Answer:
54000 cube cm
Step-by-step explanation:
Let height be the height of the box kite,
Also the length of one face = 30 cm,
Hence, the total area of the kite box that is covered by the fabric
= 4 × Area of one face
= 4 × 30 × height
= 120 h
According to the question,
120 height = 7200
height = 60 cm
Hence, the height of the box = 60 cm,
The volume inside the kite = The base area of the box × Its height
= 30² × 60
= 900 × 60
= 54000 cm³
Which of the following modifications to an electromagnet would be most likely to
decrease the strength of its magnetic field?
Answer:
Fewer coils, lower voltage, alloyed core with less iron
Step-by-step explanation:
Helppp! Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain. *
pentru triunghiurile congruente ijk si lmn sau scris cate trei congruente ale elementelor acestora scrie congruentele lipsa
i am just doing this so I can get more answers
Step-by-step explanation:
plzzzz help will
get brainliest
For the quadratic equation f(x) = x2 + 8x + 15, identify the vertex
and one of the zeros
Answer:
vertex = ( − 4 , − 1 )
Zeros x = − 3, -5
Step-by-step explanation:
(11a2b+17a-4b2+15)+(12a2b-16b2+3)=
Answer:
232−202+17+18
I need help with this
Answer:
1/5
Step-by-step explanation:
because u divied
simplify by distributive property 9-5b+5m
Answer and Step-by-step explanation:
This is as far as the expression can be simplified.
The undistributed version of the expression is:
9 -5(b - m)
#teamtrees #PAW (Plant And Water)
The work of a student to solve a set of equations is shown: Equation A: y = 4 − 2z Equation B: 4y = 2 − 4z Step 1: −4(y) = −4(4 − 2z) [Equation A is multiplied by −4.] 4y = 2 − 4z [Equation B] Step 2: −4y = 4 − 2z [Equation A in Step 1 is simplified.] 4y = 2 − 4z [Equation B] Step 3: 0 = 6 − 6z [Equations in Step 2 are added.] Step 4: 6z = 6 Step 5: z = 1 In which step did the student first make an error? (5 points)
Answer:
The student made the first mistake in step 2.
Step-by-step explanation:
The work of a student to solve a set of equations first make an error in step 2 .
What is elimination method?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
According to the question
Equation A: y = 4 − 2z
Equation B: 4y = 2 − 4z
Solving equation by elimination method
Step 1:
[Equation A is multiplied by −4.]
−4(y) = −4(4 − 2z)
Equation B: 4y = 2 − 4z
Step2:
[Equation A in Step 1 is simplified.]
-4y = -16 + 8z
Equation B: 4y = 2 − 4z
Step 3:
Both equation A and B is added
-4y = -16 + 8z
4y = 2 − 4z
=> 0 = -14 + 4z
Step 4:
4z = 14
z = 3.5
Hence, the work of a student to solve a set of equations first make an error in step 2 .
To know more about elimination method here:
https://brainly.com/question/14619835
#SPJ2
You are going on a long trip and wants to calculate your miles per gallon. When you start your trip your odometer read 91709 miles. At the end of your trip your odometer reads 91961 miles. You started with a full tank and to return you put 7 gallons of gas total. What is your miles per gallon?
Answer:
36 miles per gallon
Step-by-step explanation:
91961 - 91709 = 252 miles driven
252 miles / 7 gallons = 36 miles per gallon
what is 3/10(x+2)=12
X=38
Hope I helped :]
At burns high school 3/5 of the students are females of the female students 1/3 of them play volleyball what fraction of the students in burn high school are girls that play volleyball
3/5 of 1/3 means 3/5 x 1/3
[tex]\frac{3}{5} \times \frac{1}{3} = \frac{3}{15}[/tex]
3/15 simplifies to 1/5
So 1/5 of the students in the high school are girls who play volleyball
GEOMETRY!!! Will give brainliest
Answer:
circle
Step-by-step explanation:
Help plzshsvddvdvvdb
9514 1404 393
Answer:
12 days
Step-by-step explanation:
The time is found by dividing the quantity by the rate of usage.
(3 gal)/(1/4 gal/day) = 3·4 day = 12 day
The tea will last for 12 days.
3 2/5 + 4 2/7 = _________
2 5/8 + 6 1/6 = _________
4 8/10 + 5 2/6 =________
6 7/12 + 3 19/14 = _______
what is the equivalent fractions for 3/6 and 4/6
Answer: 1/2 and 2/3
Step-by-step explanation:
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a heart and then, without replacement, a spade? Express your answer as a fraction or a decimal number rounded to four decimal places
Answer:
[tex]\frac{13}{204}[/tex] ≈ 0.0637
Step-by-step explanation:
Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.
To find: probability of choosing a heart and then, without replacement, a spade
Solution:
Probability refers to chance of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of outcomes
Total number of cards = 52
Number of hearts = 13
So,
probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]
Number of remaining cards = [tex]52-1=51[/tex]
Number of spades = 13
Probability of choosing a spade = [tex]\frac{13}{51}[/tex]
Events consisting of choosing a heart and spade are independent.
So,
Probability of choosing a heart and then, without replacement, a spade =
Probability of choosing a heart × Probability of choosing a spade
= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637
What is the lowest term of 75/60 as an improper fraction?
Answer:
The lowest term 75/60 as an improper fraction is 5/4.