Answer:
Step-by-step explanation:
i )
the probability that oil will be discovered in the area by one or more of the three companies = probability of oil to be discovered by one company + probability that oil will be discovered by two companies + probability that oil will be discovered by three companies.
probability of oil to be discovered by one company = .40 x .40 x .80 + .60 x .60 x .80 + .60 x .40 x .20 = .128 + .288 + .048 = .464
probability that oil will be discovered by two companies = probability to be discovered by A and B and not discovered by C + probability to be discovered by A and C and not discovered by B + probability to be discovered by B and C and not discovered by A
= .40 x .80 x .80 + .40 x .20 x .40 + .60 x .20 x .60
= .256 + .032 + .072
= .36
probability that oil will be discovered by three companies.
= .40 x .60 x .20 = .048
Total probability = .464 + .36 + .048 = .872
ii )
Probability of discovery by C = Probability by C and not by A and B + Probability by C and A and not by B + Probability by C and B and not by A
+ Probability by A , B and C .
= .20 x .6 x .4 + .20 x .40 x .40 + .20 x .60 x .60 + .40 x .60 x .20
= .048 + .032 + .072 + .048
= .20
If oil is discovered in the area, what is the probability that it will be discovered by company C = .20 / .872
= .23
The probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.
Given that three oil companies, A, B and C, are exploring for oil in an area, and the probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20, and if B discovers oil, the probability that A will also discover oil is increased by 20%, assuming that the chance of C discovering oil is independent of A and B, to determine 1) what is the probability that oil will be discovered in the area by one or more of the three companies, and 2 ) if oil is discovered in the area, what is the probability that it will be discovered by company C, the following calculations must be made:
1)
The discovery probabilities of 1, 2 or 3 companies must be added. (0.40 x 0.40 x 0.80 + 0.60 x 0.60 x 0.80 + 0.60 x 0.40 x 0.20) + (0.48 x 0.60 x 0.80 + 0.40 x 0.60 x 0.20 + 0.60 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) (0.128 + 0.288 + 0.048) + (0.2304 + 0.048 + 0.072) + 0.048 = X 0.464 + 0.3504 + 0.048 = X 0.8624 = X
2)
1.20 = 100 0.20 = X 0.20 x 100 / 1.20 = X 20 / 1.20 = X 16.66 = X
Therefore, the probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.
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PLEASE ANSWER! I NEED HELP!! 30 POINTS TO WHO EVER ANSWERS!
The point of intersection of a system of equations is (3,4). Which of the following could represent one of the equations in the system of equations?
Select one:
A. 2x+3y=15
B. x+y=8
C. −2x+6y=18
D. −4x−y=−8
9/10 of a 70-foot-long driveway has already been paved. How many feet of the driveway has been paved?"
Answer:
63
Step-by-step explanation:
Mr.Jones can bench 205 pounds. The bar weighs 45 pounds, how much weight is on each side
Answer:
205-45÷2
Step-by-step explanation:
205-45=160
160÷2=80
80lb
I will give you brailnest answer
Answer:1/4 of is the correct answer d is the dependant variable.
Step-by-step explanation:
what is the least common denominator for 5/7 4/6
Answer:
Tricky! The LCD is 21
Normally, we would have to multiply the denominators, 7 × 6 = 42 but 4/6 is not reduced.
Step-by-step explanation:
15/21 is equivalent to 5/7
14/21 is equivalent to 4/6 and 2/3
I can’t understand the graph
The data set shows the lengths, in minutes, of different musical performances.
36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20
What is the interquartile range (IQR) of the data set?
Answer: It has to be 22.5
Step-by-step explanation: Since this is a quiz, I won't tell you how to solve it, i'll give you some clues. But with what I know is; you have to find the (Q1) and (Q3) Then see what the difference is between the quartiles, and that should be your answer.
The interquartile range (IQR) of the data set is 19.
It is required to find the interquartile range (IQR) of the data set.
What is statistics ?Statistics are defined as numerical data, and is the field of math that deals with the collection, tabulation and interpretation of numerical data. It is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
Given:
The date are arranged from ascending order
9,14,15,18,20,22,29,36,36,42,45,51
Now you have one lower half with the numbers 9,14,15,18,20,22 and an upper half with the numbers 36,36,42,45,51.
As you can see in the figure, you have to find the median for these lower and upper halfs, so you have:
[tex]Q_{1} =16\\\\Q_{3} =35\\[/tex]
Now we can find the interquartile range that is:
[tex]IQR=Q_{3} -Q_{1}\\\\IQR=35-16\\\\IQR=19[/tex]
Therefore, the interquartile range (IQR) of the data set is 19.
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A box contains 20 red balls, 25 white balls, and 55 blue balls. Suppose that 10 balls are selected at random one at a time with replacement; that is, each selected ball is replaced in the box before the next selection is made. Determine the probability that at least one color will be missing from the 10 selected balls.
Answer:
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Determine the probability that at least one color will be missing from the 10 selected balls.
Red missing:
Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:
(0.8)^10 = 0.1074
White missing:
55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:
(0.75)^10 = 0.0563
Blue missing:
45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:
(0.45)^10 = 0.0003
Total:
0.1074 + 0.0563 + 0.0003 = 0.164
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
The earth travels 1,050 miles per hour.
At this rate, how many miles does the earth travel per day?
Plz Help God will Bless You!!
The earth travels 1,050 miles in an hour.
There are 24 hours in a day.
So multiply 1,050 by 24.
And you get 25,200.
The earth travels 25,200 miles in a day.
Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,500 houses. The subdivision was built in 1983. A sample of 120 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, what is the probability that the sample average is greater than $229,500?
Answer:
0.0268 = 2.68% probability that the sample average is greater than $229,500
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Single house:
The mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, which means that [tex]\mu = 228, \sigma = 8.5[/tex]
Sample:
Sample of 120, so, by the central limit theorem, [tex]n = 120, s = \frac{8.5}{\sqrt{120}} = 0.7759[/tex]
What is the probability that the sample average is greater than $229,500?
This is 1 subtracted by the pvalue of Z when X = 229.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{229.5 - 228}{0.7759}[/tex]
[tex]Z = 1.93[/tex]
[tex]Z = 1.93[/tex] has a pvalue of 0.9732
1 - 0.9732 = 0.0268
0.0268 = 2.68% probability that the sample average is greater than $229,500
PLZZZ HELP IT'S FOR MIDDLE SCHOOLLLLL
jordans dog weighs p pounds emmett's dog weighs 25% more than jordan's dog which expressions represent the weight in of emmett's dog? a.0.25p b.1.25p c. p + 0.25 d. p + 1.25 e. p + 0.25p. Select two answers.
Answer:
B
Step-by-step explanation:
I think because if it weighs 25% more, then Jordans dog is the "1" part and Emmetts dog is the .25 part.
Answer:
B, 1.25p
Step-by-step explanation:
Lets say that Jordan's dog is a certain weight making him 1, It says Emmett's dog weighs 25% more, so that would give us 1.25. Now the reason is that it's B instead of C is that we have a p next to our 1.25. This means that its 1.25 x p, p being your pounds. So if you were to understand this equation, it would be, 1.25 x pounds. Let's also remember 1 x 1 = 1. So 1 x 1.25 is 1.25. 1 times anything is going to be the same number.
what is the value of h
Answer:
h = 5.318 m
Step-by-step explanation:
6.5/11 = h/9
0.5909 = h/9
h = 5.318
Answer:
Height: 5.32
Step-by-step explanation:
Area=29.24
Heron's Formula
Find 30% of 70 whats your right one
Answer:
21
Step-by-step explanation:
I hope this helps!
Monte owned stock in Hadley Corporation which paid an annual dividend of $5.15 per share. If the closing price per share was $52.50 in 2011, what was the yield% (to the nearest tenth of a percent)?
7.9%
8.5%
9.8%
10.2%
None of these choices are correct.
Answer: it going to be 10.2% percent
Step-by-step explanation: that how you get your answer as your -
10.2 %
Write the equation for
Twice a number added to five- and four-tenths is.
the same as the number minus two and nine-denths.
Answer:
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = x + 11
Step-by-step explanation:
The table is showing 4 x and y values. With the question of which equation gives the rule of the table.
To solve, all we have to do is plug in x with the correspondant equation, same goes with y.
y = x + 11 will be the only one that fits mainly because all the other ones gives a higher result.
Answer:
y = x + 11
Step-by-step explanation:
y + 11 = 11
1 + 11 = 12
2 + 11 = 13
3+ 11 = 14
4+ 11 = 15
y is the first row, 1,2,3,and 4
11 is 11 (lol)
x is the answer
your answer is y=x+11
b. 3.3 x 0.8 =
3 3
х
8
Answer: the answer is 2.64 or 264
Explanation: if you multiply 3.3 × 0.8=264 but if you mulyiply 33×8=264
Please help me !!!!!!!!!
Answer:
f(-2) = 0
f(1) = 12
f(2) = 5
Step-by-step explanation:
f(-2) will lie in the function [tex] f(x) =x^2 - 4[/tex]
[tex]\therefore f( - 2) = {( - 2)}^{2} - 4 = 4 - 4 = 0 [/tex]
f(1) will lie in the function [tex] f(x) =2x^2 +10[/tex]
[tex]\therefore f(1) = 2 {(1)}^{2} + 10 = 2 + 10 = 12 [/tex]
f(2) will lie in the function [tex] f(x) =5[/tex]
[tex]\therefore f(2) = 5[/tex]
For which equations is 8 a solution? Select the four correct answers.
OX+6 - 2
Ox+2-10
O x-4-4
O x-2-10
2x=4
3x= 24
ož - 16
OŠ - 1
Answer:
3x = 24
x/8 = 11
x - 4 = 4
x + 2 = 10
Please help, Dont guess :) will mark brainliest
Answer:
43 1/2Step-by-step explanation:
The formula to find the area of a triangle is multiplying base times height divided by 2.
So we have 3+3+3 (which is the base) times height. Finally we have: 9 x 11, which is 99 and now we divide it by 2. So 99/2 = 49 1/2.
Now we subtract the missing rectangle, which we can find by multiplying 3 by 2, which is 6.
So now subtract 6 from 49 1/2, and you'll get 43 1/2.
Answer:
43.5
Step-by-step explanation:
(( I will be using "*" as a multiplication sign ))
Area of rectangle = length * width = 3 * 2 = 6
Area of triangle = 1/2 bh = 1/2(11*9) = 1/2 of 99 = 99 divided by 2 = 49.5
So, since we are taking away the rectangle from the triangle, we will subtract the area of the rectangle from the triangle.
49.5 - 6 = 43.5
If you have any question please message me or comment
math help #6 plzzzzz
Answer:
x = 30
m<2 = 94°
m<3 = 94°
Step-by-step explanation:
✔️m<2 = m<3 (vertical angles)
4x - 26 = 3x + 4 (substitution)
Collect like terms
4x - 3x = 26 + 4
x = 30
✔️m<2 = 4x - 26
Plug in the value of x
m<2 = 4(30) - 26
m<2 = 94°
✔️m<3 = 3x + 4
m<3 = 3(30) + 4
m<3 = 94
Let the amount of money Tabitha started with be represented by x.
Tabitha then earned $52, spent $40,earned $28, and spent $58.How
much money, in terms of x, does Tabitha have now?
If Tabitha started with $50, then she would have $38 left.
Step-by-step explanation:
50 + 52 = 102.
102 - 40 = 62.
62 + 28 = 90.
90 - 58 = 38.
Answer:
38
Step-by-step explanation:
hi
The volume Vof a cylindrical can is represented by the formula V=πr2h, where h is the height and r is the radius. A cylindrical can has a volume of 1014π cubic centimeters and a height of 6 centimeters. What is the radius of the can?
Answer:
Step-by-step explanation:
V = πr²h
1014π = πr²·6
r² = 1014/6 = 169
r = 13 cm
If a car travels 55 miles per hour, how long will it have traveled if it travels 110 miles?
Answer:
2 hours
Step-by-step explanation:
2. The ratio of white marbles to blue marbles is equal to 2:3. There are more than 20
marbles in the bag. What is a possible number of white marbles and blue marbles in the
bag? (Eg. white marbles, blue marbles)
Answer:
24 white marbles, 36 black marbles
Step-by-step explanation:
System of Inequalities:
x + y > 20
2/5y + 3/5x > 20
solve first inequality for 'y':
y > 20 - x
Use substitution to solve for 'x':
2/5(20 - x) + 3/5x > 20
8 - 2/5x + 3/5x > 20
1/5x > 12
x > 60
2/5 of 60 = 24
3/5 of 60 = 36
1. Find the permeter of the triangle
(6x + 2) cm
(x- 4)cm
(3x + 1) cm
1. An airplane flies with a constant
speed of 740 miles per hour. How
far can it travel in 2 hours?
Answer:
740×2= 1480 in 2 hours
hope this helps :)
Describe or show two different ways to find the volume of a right rectangular prism with dimensions of 9 centimeters by 7 centimeters by 12 centimeters.
Answer:
9×7×12=756 is the dimensions
a book which cost 300 naira was sold for 240naira.what was the loss percentage?
Answer:
20%
Step-by-step explanation:
Since the original price of the book is 300 naira...
100% = 300 naira
1% = 300 ÷ 100 = 3 naira
240 ÷ 3 = 80
Since 80% is the percentage of the price after the loss..
100 - 80 = 20%
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period. a. Which form of the null and alternative hypotheses most appropriate for this situation
The question is incomplete. The complete question is :
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 24 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.
a. Which form of the null and alternative hypotheses most appropriate for this situation.
[tex]$H_0$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)
[tex]$H_a$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)
Solution :
It is given that the current mean sales volume in one month is 24 automobiles. The automobile dealership manager wants to conducts research study to check the increase in the sales volume due to the launch of a new bonus plan. So to collect the data on plan, sample of the sales personnel is allowed to sell for one month period only according to the new bonus plan.
Therefore the null hypothesis and the alternate hypothesis that most appropriates the situation is :
[tex]$H_0 \leq 24$[/tex][tex]$H_a > 24$[/tex]