Answer:
\(\frac{x-1}{x-2} +\frac{x-3}{x-4}= \frac{(3\frac{1}{3})(x) }{n} (2.71828224)\)
hope it helps
Let AA and BB be two mutually exclusive events, such that P(A)=0.2272P(A)=0.2272 and P(B)=0.4506P(B)=0.4506. Find the following probability:
The probability that the events do not occur is 0.6778`.
The probability that the events do not occur is given by `P(Ac)=1-P(A)` and `P(Bc)=1-P(B)`.
The given probabilities are `P(A)=0.2272` and `P(B)=0.4506`.
Using the formula `P(A∪B)=P(A)+P(B)-P(A∩B)`, we have `P(A∩B) = P(A) + P(B) - P(A∪B)`
Using the fact that the two events are mutually exclusive, we get `P(A∩B) = 0`.
Thus, `P(A∪B) = P(A) + P(B) = 0.2272 + 0.4506 = 0.6778`.
The probability that either A or B but not both occurs is given by `P(AΔB) = P(A∪B) - P(A∩B) = 0.6778 - 0 = 0.6778`.
Hence, the required probability is `P(AΔB) = 0.6778`.
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What is pooled mean standard error?
The pooled mean standard error is a measure of the variability associated with the difference between two group means in a statistical hypothesis test with equal variances.
The pooled mean standard error is a measure of the variability or uncertainty associated with the difference between two group means in a statistical hypothesis test, where the two groups have equal variances. Specifically, it is the standard error of the difference between the means of two independent samples, calculated by combining the standard errors of the two sample means into a single estimate.
The formula for the pooled mean standard error is:
SEp = \(\sqrt{ [ (s1^2/n1) + (s2^2/n2) ]}\)
where SEp is the pooled mean standard error, s1 and s2 are the standard deviations of the two samples, n1 and n2 are the sample sizes, and sqrt represents the square root function.
The pooled mean standard error is used in the calculation of the t-statistic in a two-sample t-test, which is used to test the hypothesis that there is a significant difference between the means of the two groups. By accounting for the variability of both groups, the pooled mean standard error provides a more accurate estimate of the standard error of the difference between the means, which in turn allows for more precise hypothesis testing.
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what is the y intercept of 2y - 2x = 8
Answer:
Step-by-step explanation:
Write in y = mx + b form
here, b ----> y intercept
2y - 2x = 8
2y = 2x + 8 {Divide the equation by 2}
\(\frac{2y}{2}=\frac{2x}{2}+\frac{8}{2}\\\)
y = x + 4
y-intercept = 4
Suppose when you study 4 hours for an exan, your mark is 80 percent. and if you study for an extra hour, your mark is 85 percernt. the marginal benefir from studying one more hour is:_________
The marginal benefit from studying one extra hour is 5 percent.
What is marginal benefit?The maximum sum of money a consumer will spend on an additional commodity or service is known as the marginal benefit. As spending rises, customer contentment tends to decline.Now,
Given:
Marks scored on studying 4 hours = 80 percentMarks scored on studying 1 hour extra = 85 percentTo find: Marginal benefit on studying one hour extra.
Finding:
Now, marks scored on studying 4 hours is 80 percent and 5 hours is 85 percent.
Thus, the extra percentage that is scored is because of the 1 hour of extra studying.
The extra percentage = marginal benefit of studying extra = 85 - 80 = 5 percent.
Hence, the marginal benefit from studying one extra hour is 5 percent.
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Simone practices her violin for hour each day. How much time does she spend practicing her violin each week? (A week has 7 days.)
Answer:
simone spends 7 hours a week
Step-by-step explanation:
Simone practices 1 hour every day
a week has 7 days, so
we multiply 7 x 1 = 7 hours per week
7= days of the week
1= hours simone practices every day
find the distance between points u and v in the coordinate plane. question 6 options: a) units b) units c) units d) units
The distance between two points in the coordinate plane can be found, we can use the distance formula. The coordinate plane, also known as the Cartesian plane or xy-plane, is a two-dimensional plane used in mathematics.
To find the distance between points U(3) and V(4) in the coordinate plane, we can use the distance formula:
The distance formula is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Given that U has coordinates U(3) and V has coordinates V(4), we can substitute the values into the formula:
Distance = √((4 - 3)^2 + (0 - 0)^2)
Simplifying further:
Distance = √(1^2 + 0^2)
Distance = √(1 + 0)
Distance = √1
Distance = 1
Therefore, the distance between points U(3) and V(4) in the coordinate plane is 1 unit.
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If a figure is a square, its diagonals divide it into isosceles triangles.
p: A figure is a square.
q: A figure's diagonals divide into isosceles triangles.
Which represents the converse of this statement? Is the converse true?
The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:
"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."
The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.
Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.
In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.
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Which of the following is NOT a valid construct as part of an activity diagram?
a. Activity oval
b. Actor name
c. Use case oval
d. Relationship line
The correct answer is c. Use case oval. Use case ovals are part of use case diagrams, not activity diagrams. Activity diagrams primarily consist of activity ovals, actor names, and relationship lines.
The activity diagram is a type of UML diagram that is widely used to visualize the flow of activities and actions in a system. It is an important tool for modeling the behavior of a system and its components. The activity diagram consists of various constructs that are used to represent the different elements of a system. These constructs include activity ovals, actor names, use case ovals, and relationship lines.
A relationship line is used in other types of UML diagrams, such as class diagrams or sequence diagrams, to represent the relationships between objects or classes.
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Manuel deposits $4,000 at the beginning of each year for 15 years into a fund that earns 10% annually. Manuel awaits 11 more years from the time his 15th payment was made, and uses the accumulated amount in the fund to buy a perpetuity that pays an amount P every year, subject to 5% annual interest, with the first payment one year from the time of purchase. Find P.
Manuel deposits $4,000 at the beginning of each year for 15 years into a fund that earns 10% annually. Manuel awaits 11 more years from the time his 15th payment was made, and uses the accumulated amount in the fund to buy a perpetuity that pays an amount P every year, subject to 5% annual interest, with the first payment one year from the time of purchase. P is $6,602.38.
To find the amount P that Manuel will receive annually from the perpetuity, we need to calculate the accumulated amount in the fund after 15 years of deposits.
Given: Deposit amount per year (D) = $4,000 Number of years of deposits (n) = 15 Annual interest rate (r) = 10%
Using the formula for the future value of an ordinary annuity:
Future Value = D * ((1 + r)^n - 1) / r
Future Value = $4,000 * ((1 + 10%)^15 - 1) / 10% = $4,000 * (1.10^15 - 1) / 0.10
Now, we have the accumulated amount in the fund after 15 years. Manuel waits for 11 more years, and during this time, the accumulated amount grows at an annual interest rate of 5%. This accumulated amount will provide the perpetuity payment P.
Using the formula for the present value of a perpetuity:
Present Value = P / r
Present Value = Future Value * (1 + r)^-n
P / 5% = (Future Value) * (1 + 5%)^-11
Substituting the calculated Future Value:
P / 5% = ($4,000 * (1.10^15 - 1) / 0.10) * (1 + 5%)^-11
Now, we can solve for P:
P = (5% * $4,000 * (1.10^15 - 1) / 0.10) * (1 + 5%)^-11
P ≈ $6,602.38
Therefore, the amount P that Manuel will receive annually from the perpetuity is approximately $6,602.38.
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HELPPP FOR BRAINEST!!!
Answer:
Whether a net force acts on the object.
Step-by-step explanation:
Newtons first law states that an object will remain at rest unless it is acted upon by an imbalanced force.
results of a random survey showed that 15 out of 25 students plan to vote for Stacy for class
president. Based on this survey, about how many votes will Stacy receive if 225 students cast votes?
165 votes
So we know that there would be 225 votes.
Explanation:
225 divide 25=11
Then lastly multiply 15 with 11.
Final Result: 165 votes
Help me pleaseeeeeee
Answer:
Step-by-step explanation:
D
zelda can swim at 50 metres per minute upstream and twice as fast downstream. how fast can she swim in still water? what is the rate of the water current?
Zelda can swim at a speed of 75 meters per minute in still water and the rate of the water current is 25 meters per minute.
How fast can Zelda swim in still water and what is the rate of the water current?Let's call Zelda's speed in still water "s" and the rate of the water current "c".
When swimming upstream, Zelda's speed relative to the ground is s - c. When swimming downstream, her speed relative to the ground is s + c.
We're told that Zelda can swim 50 meters per minute upstream, so we can write the equation:
s - c = 50
We're also told that she can swim twice as fast downstream, so:
s + c = 2(50) = 100
Now we have two equations with two variables. We can solve for s by adding the two equations together:
s - c = 50
s + c = 100
(s - c) + (s + c) = 50 + 100
2s = 150
s = 75
So Zelda can swim at a speed of 75 meters per minute in still water.
To find the rate of the water current, we can substitute s = 75 into either of the two equations we wrote earlier. Let's use the first one:
s - c = 50
75 - c = 50
c = 25
So the rate of the water current is 25 meters per minute.
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if a number is added to the numerator of (11)/(35) and twice the number is added to the denominator of (11)/(35), the resulting is equivalent to (1)/(3). find the number
For the statement to happen, the number should be 2.
An algebraic expression is is defined as the combination of numbers and variables in solving a particular mathematical question. Variable, usually letters, are used to denote the unknown quantity.
Let x = number
Based on the information given, add the number to the numerator of 11/35 and add twice the number to the denominator of 11/35, and the result should be equal to 1/3.
Hence, (11 + x) / (35 + 2x) = 1/3.
Simplify and solve for the value of x.
3(11 + x) = (35 + 2x)
33 + 3x = 35 + 2x
3x - 2x = 35 - 33
x = 2
number = 2
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Solve the equation : 4x-(-2)=18
\(\large\boxed{ \sf{Answer}} \)
\(4x - ( - 2) = 18 \\ 4x + 2 = 18 \\ 4x = 18 - 2 \\ 4x = 16 \\ x = \frac{16}{4} \\ x = 4\)
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Step-by-step explanation:
4x-1-2=18
4x+2=18
4x=18-2
4x=16
x=16/4
x=4
Find the geometric mean between pair of numbers.
3√5/4 and 5√5/4
The geometric mean of 3√5/4 and 5√5/4 is 5√3/4.
Geometric mean, like arithmetic mean, is a kind of average and a measure of central tendency.
To solve for the geometric mean, we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. In other words, geometric mean is the nth root of the product of n values.
The formula for the geometric mean is given by:
GM = n√x1 x2 . . . xn
Solving for the geometric mean between 3√5/4 and 5√5/4 using the formula:
GM = n√x1 x2 . . . xn
where n = 2, x1 = 3√5/4, and x2 = 5√5/4
GM = √(3√5/4)(5√5/4)
GM = √(75/16)
GM = 5√3/4
Hence, the geometric mean of 3√5/4 and 5√5/4 is 5√3/4.
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PLZ HELP ME GUYS WITH THIS EQUATION: Manuel will choose between two restaurants to purchase pizzas for his party. The first restaurant charges a delivery fee of $2 for the entire purchase and $10 per pizza. The second restaurant charges a delivery fee of $5 for the entire purchase and $9 per pizza. Let x be the number of pizzas purchased.
Answer:
x = 3 pizzas
Step-by-step explanation:
Not sure what the question is asking, but I am assuming that the question is asking how many pizzas needs to be ordered for the restaurant ordered to equal each other.Set up equation: \(10x + 2 = 9x + 5\)Simplify the equation:\(x = 3\)
-5-(-9)=? Please help again I’m doing a test and I can’t give points help a brother out
trish goes to a bar with six friends to celebrate her 25th birthday. they're ready to party. each of her friends order her a 1.5 oz. shot (37% abv), and she takes all of them within half an hour. she weighs about 155 pounds. what is her bac level? should she drive?
She should not drive due to her BAC level of 0.117 percentage , which is above the legal limit in most states.
1. Calculate total amount of alcohol consumed:
1.5 oz. x 6 shots
= 9 oz.
2. Calculate amount of alcohol in grams:
9 oz. x 28.35 g/oz.
= 254.15 g
3. Calculate BAC:
(254.15 g/10,000 mL) x (155 lbs x 0.45359 kg/lbs) x (1g/1000mg) x (1.2 g/dL)
= 0.117% BAC
The amount of alcohol consumed by Trish was 9 oz. of 37% abv (alcohol by volume) liquor, which is equivalent to 254.15 g of pure alcohol. To calculate her BAC, we need to convert her weight to kilograms and then multiply the amount of alcohol consumed by her weight, taking into account that there is 1.2 g of alcohol per deciliter of blood. After doing the calculations, we can see that Trish's BAC level is 0.117%, which is above the legal limit for driving in most states, so she should not drive.
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can someone help me on this question?
Answer:
diameter 33
radius 66
area 360
Use properties to evaluate 2/3(-3/4 divide 1/8)1/3
Step-by-step explanation:
step 1. (2/3)((-3/4)/(1/8))(1/3)
step 2. (2/3)(-24/4)(1/3)
step 3. (2/3)(-6)(1/3)
step 4. (2/3)(-2)
step 5. -4/3
Answer:
- 4/3
Step-by-step explanation:
Calculate the volume of a cone with the radius 5 and height of 8. Round your answer to the nearest whole number
A. 170
B.209
C.335
D.1005
The extreme values in a set of data are 5 and 19. What is true about the data set?
There will be more than one mode.
The mean will be 12.
The range is 14.
There is not enough data.
Answer:
The answer to your problem is, C. The range is 14.
Step-by-step explanation:
The range is the difference between the maximum and minimum values of the data set.
Here, the maximum = 19 and minimum = 5
Next we can do some simple subtraction to conclude to this answer:
19 - 5 = 14
14 is our product which leads to.
Thus the answer to your problem is, C. The range is 14.
-(10)-1 (. please I am doing a test
Here is ur answer it is easw
the answer is -(10)-1=-11
.
A baker is making cakes for a party. She uses 2 1/4 cups of flour for each cake. If she has 11 cups of flour, how many cakes can she make?
In a long-jump competition, Connor jumped 160 centimetres.
Phil jumped 1.3 metres.
Calculate how far they have jumped altogether.
Give your answer in centimetres.
Answer:
260 centimetres
Step-by-step explanation:
Answer: 290 centimetres
Step-by-step explanation: There are 130 centimetres in 1.3 metres so you add.
160 + 130 = 290 centimetres
If the rectangle below is enlarged using a scale
factor of 2, what will be the perimeter and area
of the new rectangle?
Answer:
The perimeter P of a rectangle is given by the formula, P=2l+2w , where l is the length and w is the width of the rectangle. The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.
HELP PLEASE 15 POINTS
All you have to do is rotate the left-hand triangle to match the right one, and you see that the angle degrees match up, so KL = 9.5
Question # 5
Question # 6
Question # 7
Question # 8
Question # 9
Question # 10
Question # 11
Answer: question#7 is 7/12
question#8 is 1 3/8
question#5 is 1/2
question#6 is 12
question#9 is 1 1/6
question#10 is 31/40
question#11 is 3/4
Step-by-step explanation: give brainliest
Question #5: Option A, \(\frac{1}{2}\)
Question #6: Option A, 12
Question #7: Option A, \(\frac{7}{12}\)
Question #8: Option D, \(1\frac{3}{8}\)
Question #9: Option D, \(1\frac{1}{6}\)
Question #10: \(\frac{31}{40}\)
Question #11: \(\frac{3}{4}\)
Pls mark brainliest
I AM DOING MY HW AND I GOT STUCK ON THIS QUESTION CAN SOMEONE HELP ME AND EXPLAIN HOW THEY DID IT <333
i) Plan A: 21/0,12 = 175 <min of calls>
Plan B: 15/0,14 ≈ 107 <min of calls>
=> 2 plans cost the same 107 min of calls
ii) The cost when 2 plans cost the same:
Plan A: 107 × 0,12 = 12,84$ ≈ 13$Plan B: 107 × 0.14 ≈ 15$Answer: i) 107 ii) A: 13$ B: 15$