An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil.
A. What is the probability that the first strike comes on the third well drilled?
B. What is the probability that the third strike comes on the seventh well drilled?C. What is the mean and the variance of the number of bad wells, if the oil company wants toset up three producing wells?
Answer:
a) 0.128
b) 0.049152
Step-by-step explanation:
a) first strike comes on the third well drilled
=> two non-strikes and a strike
P = (0.8)^2 * (0.2)
= 0.128
b) third strike comes on the seventh well drilled
=> two strikes in first six wells and a strike in seventh
P = 6C2 * (0.2)^2 (0.8)^4 * (0.2)
= 0.049152
1. A certain manufacturing process to build phone batteries results in the production of defective batteries at a rate of 5% (0.05). Suppose that 10 batteries are produced. a. Find the expected number of defective batteries. b. Find the variance and standard deviation in the number of defective batteries. c. Find the probability that at least 1 battery is defective.
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
What is the common difference for this arithmetic sequence?
45, 39, 33, 27, 21, .
O A. 45
OB. 6
OC. 39
OD. -6
Answer:
Concept: Series
Start by taking the first and second An and finding the difference You can then prove your result by taking any ordinary An and subtracting it by An-1Hence 45-39= 6 To prove our result of 6; 39-33= 6 Hence the common difference is Rate brainlistThe Global Footprint Network is an organization dedicated to the advancement of environmental sustainability around the world. The organization performed a data analysis of the relationship between Ecological Footprint Consumption per Capita and human development index (HDI) by country. The Ecological Footprint Consumption per Capita represents the demand in land resources imposed by human consumption per person, measured in hectares. The Human Development Index (HDI) metric is a calculation that combines life expectancy, education, and per capita income data in order to rank countries by human development. The Ecological Footprint Consumption per Capita, HDI, and country name data for a set of countries are provided in the data file.Click to download the data in your preferred format. Crunchlt! CSV Excel JMP Mac-Text Minitab PC-Text R SPSS TI Calc Produce a scatterplot with Ecological Footprint Consumption per Capita as the response variable, y, on the vertical axis and HDI as the explanatory variable, x, on the horizontal axis. Identify the names of the countries that are outliers based on the scatterplot, starting with the most extreme outlier, followed by the second-most extreme outlier. Data:Length GRT_min98 14126 11115 27110 20120 2113 2891 1988 12.35107 15111 1490 10117 2496 7117 23117 1286 2896 979 1377 13118 4790 2784 10105 1591 1494 1886 1399 5 120 31118 1388 8.85118 18113 581 69.1797 28103 22.4111 22.75110 9.12112 7.48109 23.6789 57.25114 26.41101 1091 2197 9.48110 17.982 15.22106 21.77117 17.0599 17.93111 36.6579 23.38115 13.2296 23.3896 16.28
Answer:
i don't get this sorry but i'm going to try ok thanks
Step-by-step explanation:
The answer is 69.1797
What is the slope of the line containing the ordered pairs (5,-3) and (-2,-3)
Answer:
0
Step-by-step explanation:
Use the slope formula: m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{-3+3}{-2-5}=\frac{0}{-7} =0[/tex]
The slope of the line is 0.
What is the length of AC on a right triangle 84 156-x 7
Answer:
144
Step-by-step explanation:
i just took the test
Lily runs 200 meters in 34 seconds.
Answer:
Good for Lily.
Step-by-step explanation:
how does the converse of the Pythagoren Therom look
Answer:
The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. That is, in ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR being the right angle.
yall the answer is 0.17 hope this help
Answer:
I just saw a girl post the nastiest nu!des EVER
gyiftuerdtgyuhijovhfghdfgchbnm,
i’m pretty sure the answer is A:
A. 5/16
because 1/4 of 1 1/4 is 0.3125 which is 5/16 as a fraction.
0.3125 = 5/16
I need help you'll get fourteen points plz fast
ASAP
Answer:
I think the right answer is c I'm sorry if you get it wrong
Answer:
pretty sure it's B
Step-by-step explanation:
sorry if wrong it was hard to read the picture it was very blurry
there are 7209 students at a amusement park. to the nearest thousands, how many students are in the park
Step-by-step explanation:
In ordee to round the number 7209 to the nearest thousands, we take a look at the digit in the hundreds place (which is 2).
Since 2 < 5, we round the number itself down to the nearest thousands:
7209 => 7000.
Hence our rounded number is 7000.
Answer:
7000
Step-by-step explanation:
The thousandths place in 7209 is less than 5, the number will change to 7000.
A student is training for the track team during the first three months of the year by
running for 30 minutes every day, while averaging 5 miles each day. Select the graph
that correctly shows the total miles the student ran during the time of his training
program.
1)
Hous
500
2)
200
Hours
10
23
8
50
3)
Answer:
uhhh
Step-by-step explanation:
Answer:
This question is to perfect to answer.
HELP ME PLEASE I GIVE BRAINLY
Shern goes to the BX with $21. She buys a gift for her mom that costs $9.25. She also needs to make sure that she has $3.50 left when she leaves the BX to buy lunch the next day. She sees that bags of Skittles are on sale for $0.40 each. How many bags can she buy to have as many bags as possible. Write and solve an inequality to represent the situation. Show your work.
Answer:
20 bags
Step-by-step explanation:
gift + lunch + (skittles * count) ≤ $21
9.25 + 3.50 + 0.40x ≤ 21
12.75 + 0.40x ≤ 21
0.40x ≤ 8.25
x ≤ 20.625
Answer:
20 bags of skittles
Step-by-step explanation:
I took the test
Which line has a constant of proportionality between y and x of 5/4
Answer:
B
Step-by-step explanation:
Because under the six there's a line so the line is there then you look at the four and equal it to it and that's how you know it's B
You're welcome
Triangles 1 and 2 have the angle measures as shown.
Which statement is correct about triangle 1 and triangle 2?
PLEASE HELP
Answer:
The second one or the last one, but those two are the ones i came up with
Step-by-step explanation:
Given the third term is 12 and the rate of change is 3. What is the 5th term
Answer:
The 5th term:
a₅ = 18
Step-by-step explanation:
We know that Arithmetic sequences have a constant rate of change.
Given
a₃ = 12common difference = rate pf change = d = 3The nth term of the Arithmetic sequence with a₁ and 'd' is defined as
aₙ = a₁ + (n-1)d
Where
a₁ is the first term
d is the common difference
as
a₃ = 12
d = 3
so
Plug in n=3
a₃ = a₁ + (3-1)d
Now Plug in a₃ = 12 and d = 3
12 = a₁ + (3-1)3
12 = a₁ + 2(3)
12 = a₁ + 6
a₁ = 6
so
Formula to find the 5th term
a₅ = a₁ + 4d
Plug in a₁ = 6 and d = 3
a₅ = 6 + 4(3)
a₅ = 18
Therefore, the 5th term:
a₅ = 18
Help me please
Jayla’s goal is to write a 100 page book of poetry. She has already written 30 pages. Each day she writes 10 more pages. How many days will it take her to finish the book?
Answer:
100
Step-by-step explanation:
100-30=70
70÷10=7
7 days or 1 week
if it is not right please let me know
Answer:
7 days
Step-by-step explanation:
100 - 30 = 70
This means that she still needs to write 70 pages.
70/10 = 7
The question is below
Answer:
x + 7
Step-by-step explanation:
ajiahaqjjaqjajajanqjq
The table below hows Craig’s incomplete net worth statement,Which of the following show the correct amounts for Total Assets and Total Liabilities?
Answer:
Total assets: 110,000
Total liabilities: 70,000
Step-by-step explanation:
what is 110 is 350 what is the percent
Answer:
31.43
Step-by-step explanation:
Answer:
31.43%
Step-by-step explanation:
Can someone help me with this question
What is log4 (5x+2) = 5x in exponential form?
Answer:
4^(5x) = 5x + 2
Step-by-step explanation:
Applying the definition of logarithm we can say that if logb(x) = y, then b^y = x;
Accordingly your equation log4 (5x+2) = 5x in exponential form should be 4^(5x) = 5x + 2
Which graph represents y=⌈x⌉ over the domain −4≤x≤−1 ?
Answer:
4th one
Step-by-step explanation:
A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length. What is the width of the picture
frame?
3
18 cm
32 cm
0 48 cm
0 50 cm
Answer:
The correct answer is option 2: 32 cm
Step-by-step explanation:
Let l be the length of the picture frame and w be the width
Then according to given statements, the system of equations will be
[tex]2l+2w = 100\ \ \ Eqn\ 1\\w = 2l-4\ \ \ Eqn\ 2[/tex]
Putting w = 2l-4 in equation 1
[tex]2l+2(2l-4) = 100\\2l+4l-8=100\\6l-8 = 100\\6l = 100+8\\6l=108\\\frac{6l}{6}=\frac{108}{6}\\l = 18[/tex]
Putting the value of l in equation 2
[tex]w = 2(18)-4\\w = 36-4\\w = 32[/tex]
The width is 32 cm
Hence,
The correct answer is option 2: 32 cm
A family eats at a restaurant and the meal is $65, and they leave a tip of 20% of the price of the meal. What is the total with the meal and the tip?
♡ Answer ♡
$78
♡ Step-by-step explanation ♡
In the problem, it states that the family's meal is $65. At the same time, it is also mentioned that the tip is 20% of the price of their meal. This means that the tip is 20% of $65. In order to figure out the total price with the meal and the tip, we must multiply 20% by $65 in order to get the tip, and add $65 for the price of the meal. The sum will be your answer.
As stated earlier, the first step to this question is to multiply $65 by 20%. 20% in decimal form is 0.2 0.2*$65 equals $13. So, the family left a $13 tip.
The other step in finding the overall amount of money the family used is to add $65 to our previous answer. In this case, our previous answer is $13. We must add $65 to $13 in order to find the total price. $65+$13 is $78.
So, the total (with the meal and the tip) is $78.
A/N (Author's Note): This answer was plenty of fun to write, though it was slightly rushed! I hope this helps any and all people that use it! Have a stellar day!
czi-txdf-gmj Aao sabhi
Answer:
hiii
Step-by-step explanation:
my name is arushi(aru)
This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.
helpppppp plssssssssssssss
Answer:
A. Cellular respiration
Step-by-step explanation:
Answer:
A is the answer :)
the reason for this is.... I'm not really sure xd
what does 1/2 plus 3/4
Answer:
1/2 plus 3/4 = 1 1/4 or 1.25 same thing
Step-by-step explanation:
1/2 = 2/4
2/4 +3/4 = 5/4 or 1.25
Please help fast, thanks.
Answer:
b > 100
Step-by-step explanation: