what is the probability that flood volume exceeds its mean value by more than one standard deviation?
Answers
When the flood volume exceeds its mean value by more than one standard deviation then the probability is approximately 0.000.
Given that the flood volume follows a normal distribution so we have to find the probability that flood volume exceeds its mean value by more than one standard deviation.
To find the probability we have to standardize the variable, X.
In the standard normal distribution, the normal distribution with a mean is 0 and a standard deviation is 1 then it is known as.
By using the following formula, we can standardize the variable, X :
Z = (X - μ) / σ
Where:
Z = the standard score,
X = the raw score,
μ = the population mean, and
σ = the population standard deviation.
To find the value of Z.
Z = (X - μ) / σZ
= (20 - 10) / 2
Z = 5P(X > 20)
= P(Z > 5)
By using the z-table we can find that the probability that Z is very close to 0 and Z is greater than 5
Therefore, the probability is approximately 0.000.
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Related Questions
When p = 12, t = 2, and s = one-sixth, r = 18. if r varies directly with p and inversely with the product of s and t, what is the constant of variation? one-eighth one-half four and one-half 18
Answers
The constant of variation given that r varies directly with p and inversely with the product of s and t is one-half
From the question given above,r ∝ p ∝ 1/st
r ∝ p / st
r = Kp / st
Cross multiply
r × st = Kp
Divide both side by p
K = rst / p => constant of variation
How to determine the constant of variation p = 12t = 2 s = one-sixth = 1/6r = 18Constant of variation (K) =?K = rst / p
K = (18 × 1/6 × 2) / 12
K = 6 / 12
K = 1 / 2 = one-half
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Please help me with the question please ASAP ASAP I’m begging please
Answers
Answer: a= 144. b= 67
Step-by-step explanation:
Angle b and the angle of measure 113 are same side interior angles which sum to 180 (When 2 parallel lines are cut by a transversal, special angles are formed)
113+b=180. Subtract 113 from both sides.
b= 67 degrees
Now that you have b, the interior angles of four sided figures sum to 360.
a+113+67+36=360. Combine like terms.
a+216=360. Subtract 216 from both sides.
a= 144 degrees
Bryan paid $144.00 for an item at the store that was 20% off the original price. What was the original price?
Answers
Answer:
$180
Step-by-step explanation:
\(P\times{(1-0.20)}=144\)
\(P\times{0.80}=144\)
\(P=\frac{144}{0.80}\)
\(P=180\)
Ight Ight please answer please please!!
Answers
Answer:
y=x^2+1 is the answer i believe!
Step-by-step explanation:
this is because it is a parabola (quadratic) = not a line!
hope this helps!
(3x³ - 5x² + 16) + (10x³ − 8x + 11)
Answers
40 is a multiple of with number . 6,11,8,15
Answers
Answer: 8
Step-by-step explanation: 8 * 5 = 40
The rest don't work.
Would appreciate brainliest <3
Answer:
8
Step-by-step explanation:
You can do 8 *5
Remember, we always want to draw our image first. Figure 26. Line TV with midpoint U. Segment lengths has been appropriately labeled. Since we know is the midpoint, we can say Answer substituting in our values for each we get: Answer Solve for We now want to solve for . Answer Answer Solve for , , and This is just the first part of our question. Now we need to find , , and . Lets start with and . We know that so let’s substitute that in. Answer Answer We will do the same for . From our knowledge of midpoint, we know that should equal , however let’s do the math just to confirm. We know that so let’s substitute that in. Answer Answer Using the segment addition postulate we know: Answer
Answers
The blanks in each statement about the line segment should be completed as shown below.
How to fill in the blanks about the line segment?Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:
8x + 11 = 12x - 1
Solve for x
We now want to solve for x.
−4x+11=−1
−4x = -12
x= 3
Solve for TU, UV, and TV
This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.
TU=8x+11 We know that x=3 so let’s substitute that in.
TU=8(3)+11
TU= 35
We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.
UV=12x−1 We know that x=3 so let’s substitute that in.
UV=12(3)−1
UV= 35
Based on the segment addition postulate, we have:
TU+UV=TV
35+35=TV
TV= 70
Find the detailed calculations below;
TU = UV
8x + 11 = 12x - 1
8x + 11 - 11 = 12x - 1 - 11
8x = 12x - 12
8x - 12x = 12x - 12 - 12x
-4x = -12
x = 3
By using the substitution method to substitute the value of x into the expression for TU, we have:
TU = 8x + 11
TU = 8(3) + 11
TU = 24 + 11
TU = 35
By applying the transitive property of equality, we have:
UV = TU and TU = 15, then UV = 35
By applying the segment addition postulate, we have:
TV = TU + UV
TV = 35 + 35
TV = 70
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Find the value of x.
Answers
Answer:
61.7
we have:
cos 56⁰.x = 30/tan 41⁰
=>
\( x = \frac{30}{ \tan(41 {}^{0} ) \cos(56 {}^{0} ) } = 61.7\)
The coordinates of the four vertices of quadrilateral ABCD are listed below
4
• A(-3,3)
.
.B(2,6)
. C(5, 1)
. D(-5,-5)
Which statement proves whether or not this quadrilateral is a rectangle?
OA
The slope of CD is-
rectangle
OB The slope of AB is
-5-1
-5-5
OD. The slope of AB is
6-3
2-(-3)
3
5
6-3
2-(-3)
3
and the slope of DA IS
OC. The slope of BC is and the slope of CD is
rectangle
3-(-5)
-3-(-5)
and the slope of BC is These two segments are perpendicular, so the shape is a rectangle.
These two segments are not perpendicular, so the shape is not a
These two segments are not perpendicular, so the shape is not a
and the slope of CD is-7
These two segments are perpendicular, so the shape is a rectangle.
Answers
For the quadrilateral ABCD the statement which proves that this quadrilateral is not a rectangle is (a) The slope of CD is "(-5-1)/(-5-5) = 3/5", and the "slope of DA is [3-(-5)]/[-3-(-5)] = 8/2", these "two-segments" are not perpendicular , so the shape is not a rectangle;
The coordinates of the "four-vertices" of the quadrilateral ABCD are :
A(-3,3), B(2,6), C(5, 1), D(-5,-5);
To prove whether the quadrilateral is a rectangle or not, we need to show that its adjacent sides are perpendicular and its diagonals are congruent.
In this question, we are given the coordinates of the four vertices of the quadrilateral.
To determine if it's a rectangle, we use the slope formula to find the slopes of the sides of the quadrilateral. If slopes of adjacent sides are "negative-reciprocals" of each other, then they are perpendicular. If the slopes of the diagonals are equal, then they are congruent.
Using the given coordinates, we find that the slope of CD is = (-5-1)/(-5-5) = 3/5, and
The slope of DA is = [3-(-5)]/[-3-(-5)] = 8/2. These two slopes are not negative reciprocals of each other, so CD and DA are not perpendicular.
So, the quadrilateral is not a rectangle.
Therefore, the correct option is (a).
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The given question is incomplete, the complete question is
The coordinates of the "four-vertices" of the quadrilateral ABCD are :
A(-3,3), B(2,6), C(5, 1), D(-5,-5);
Which statement proves whether or not this quadrilateral is a rectangle?
(a) The slope of CD is (-5-1)/(-5-5) = 3/5, and the slope of DA is 3-(-5)/-3-(-5)=8/2, these two segments are not perpendicular , so the shape is not a rectangle;
(b) The slope of AB is (6-3)/(2-(-3) = 3/5, and slope of BC is (6-1)/(2-5) = -5/3, these two segments are perpendicular , so the shape is a rectangle;
(c) The slope of BC is (6-1)/(2-5) = -5/3, and slope of CD is (-5-1)/(-5-5) = 3/5, these two segments are not perpendicular, so the shape is not a rectangle;
(d) The slope of AB is (6-3)/(2-(-3) = 3/5, and slope of CD is (-5-1)/(-5-5) = 3/5, these two segments are perpendicular , so the shape is a rectangle;
1. What is the greatest number of y-intercepts a line can have? Explain
2. The graph of the equation y = mx + b is a _____ that shows _________ to the equation.
Answers
Answer:
tt
Step-by-step explanation:
Answer:
The graph of the equation y=mx+b is a line that shows the set of all solutions to the equation.
an automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. in an earlier study, the population proportion was estimated to be 0.31 . how large a sample would be required in order to estimate the fraction of new car buyers who prefer foreign cars at the 95% confidence level with an error of at most 0.03 ? round your answer up to the next integer.
Answers
The required sample size is 907.
We have,
To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)
Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92
Since we need to round up to the next integer, the required sample size is 907.
Thus,
The required sample size is 907.
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The graph of a function fis shown below.
Use the graph of the function to find its average rate of change from x=-9 tox=-1.
Simplify your answer as much as possible.
Answers
The average rate of change from x = -9 to x = -1 of the graph of the given function is 0.
We know that the rate of change of a function is nothing but the slope of the line.
The slope of the line is given by;
Slope = Change in y-coordinate / change in x-coordinate
We are given the graph of a function.
We need to find the average rate of change from x = -9 to x = -1.
Let us find the value of y or f(x) for the given value of x.
For x = -9, y = 2
For x = -1, y = 2.
Put the values of x and y in the slope formula, we will get;
Slope = (2 - 2) / (- 1 - (-9)) = 0
So, the rate of change of function is 0.
Thus, the average rate of change from x = -9 to x = -1 of the graph of the given function is 0.
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plz, help. plzzzzzzzzzzzzz
Answers
Answer:
\(Area = 26.75 \:units^2\)
Step-by-step explanation:
\(Area =\:\frac{\left(3.5\right)\left(2+2+5\right)}{2}+\frac{\left(2\right)\left(2\right)}{2}+\left(2\cdot 2\right)+\frac{\left(2\right)\left(5\right)}{2}\\\\=26.75\)
3) A box of tile contains 12 tiles. If
you
tile a
square area using whole tiles,
how
many
tiles
will
you
have left?
Answers
Answer:
3 tiles left
Step-by-step explanation:
You can only use a maximum of 9 tiles to make a perfect square. You would need 7 more tiles to make a larger square. Having used 9 tiles, you will have 3 leftover. (12 - 9 = 3)
Hope I helped!
Gwen measured a kitchen and made a scale drawing. The scale she used was 11 inches : 5 feet. If a countertop in the kitchen is 22 inches long in the drawing, how long is the actual counter?
Answers
Calculate the grade point average (GPA) for a student with the following grades Round to 2 decimal places.
Course Credit Hours Grade
Math 4 A
English 4 C
Macro Economics 4 B
Accounting 2 D
Video Games 2 F
Note: the point values are: A = 4 points, B = 3 points, C = 2 points, D = 1 point.
Answers
The grade point average (GPA) for the student is 1.93.
To calculate the GPA, we need to assign point values to each grade and then calculate the weighted average based on the credit hours of each course.
Given that the point values are: A = 4 points, B = 3 points, C = 2 points, D = 1 point, and F = 0 points, we can assign the point values to each grade in the table:
Course | Credit Hours | Grade | Points
Math | 4 | A | 4
English | 4 | C | 2
Macro Economics| 4 | B | 3
Accounting | 2 | D | 1
Video Games | 2 | F | 0
To calculate the weighted average, we need to multiply the points by the credit hours for each course, sum them up, and divide by the total credit hours.
Weighted Average = (44 + 24 + 34 + 12 + 0*2) / (4 + 4 + 4 + 2 + 2)
= (16 + 8 + 12 + 2 + 0) / 16
= 38 / 16
= 2.375
The GPA is typically rounded to two decimal places, so the student's GPA would be 2.38. However, in this case, we need to follow the specific rounding instructions provided, which is to round to two decimal places.
Rounding to two decimal places, the GPA would be 1.93.
Therefore, the student's GPA is 1.93.
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The equation of the graphed line is 2x-3y=12 what is the x-intercept of the graph ?
Answers
Answer:
(6,0)
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
correct on edg :)
Printed Pages in Color Time (min), x 2 6 8 18 Number of pages, y 3 9 12 27 What is the constant of variation?
Answers
Answer:
3/2
Step-by-step explanation:
formula k = y/x
comes from
y = kx
k = constant of variation
when y = 3 , x = 2
k = 3/2
solve for t
-18 = -3t
t = (_)
Answers
Answer:
3×6=18 t= (6)
I hope this helps by using division
Answer:
t = 6
Step-by-step explanation:
you want (t) by itself so you would divide both sides by -3. A negative divided by a negative is a positive. same goes for multiplying two negative numbers. The answer would be positive
( n + 8 ) + ( n - 12 )
Answers
Answer:
2n-4
Step-by-step explanation:
Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$
Find $f(x) - g(x) + h(x).$ Enter your answer as an expression.
Answers
Step-by-step explanation:
all he have to do is you substitute the expressions correctly
Step-by-step explanation: Is (2, 3) a solution to the equation y=x ?
Answers
Answer:
no
Step-by-step explanation:
if you substitute it:
3 = 2
but 3 is not equal to 2 so i dont think its a solution
Answer:
(2, 3) is not a solution to the equation y = x
Step-by-step explanation:
Looking at the point (2, 3), we see that the x-coordinate is 2 and the y-coordinate is 3. x = y is false. (2, 3) is not a solution to the equation y = x.
i really need help..im confused
Answers
The marginal frequencies of chocolate and strawberry are 0.75 and 0.25 and chocolate is greater by 0.5
What are marginal frequencies?Marginal frequency is the ratio between either a column total or a row total and the total sample size.
For example, in a table of students classified by sex and area of study, the number of female students, regardless of area of study, would be one marginal frequency.
The marginal frequency of chocolate is calculated as;
The total frequency of chocolate = 30+45 = 75
The grand frequency = 75+25 = 100
marginal frequency of chocolate = 75/100
= 0.75
The marginal frequency of strawberry = 25/100
= 0.25
The difference in the marginal frequencies of chocolate and strawberry = 0.75 - 0.25 = 0.50
Therefore the marginal frequency of chocolate is greater than strawberry by 0.5
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Given the vector V1 with values (3,5,6,7,8,9) and the vector V2
with values (5,7,8,9,10), does runing the rbind() function of on V1
and V2 gives a warning?
true or false
Answers
True. Running the r bind function on V1 and V2 would give a warning.
The rbind function in R is used to combine or bind vectors, matrices, or data frames by rows. However, when using rbind(), the vectors being combined should have the same number of columns.
In this case, V1 has 6 elements, while V2 has 5 elements. Since the number of columns doesn't match, the r bind function would give a warning indicating that the binding operation is not possible due to the mismatched number of columns.
When attempting to combine V1 and V2 using rbind, R would throw a warning message similar to: "number of columns of result is not a multiple of vector length (arg x)". This warning indicates that the operation cannot be performed as intended due to the unequal number of elements in the vectors.
Therefore, running the rbind() function on V1 and V2 would result in a warning.
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Find the x value
And find the unknown angles
Answers
P = 50
N = 68
X = 20
for how many n ∈{1,2,... ,500}is n a multiple of one or more of 5, 6, or 7?
Answers
There are 160 numbers between 1 and 500 that are multiples of one or more of 5, 6, or 7.
How to find is n a multiple of one or more of 5, 6, or 7?To solve this problem, we need to use the inclusion-exclusion principle.
First, we find the number of multiples of 5 between 1 and 500:
⌊500/5⌋ = 100
Similarly, the number of multiples of 6 and 7 between 1 and 500 are:
⌊500/6⌋ = 83
⌊500/7⌋ = 71
Next, we find the number of multiples of both 5 and 6, both 5 and 7, and both 6 and 7 between 1 and 500:
Multiples of both 5 and 6: ⌊500/lcm(5,6)⌋ = 41
Multiples of both 5 and 7: ⌊500/lcm(5,7)⌋ = 35
Multiples of both 6 and 7: ⌊500/lcm(6,7)⌋ = 29
Finally, we find the number of multiples of all three 5, 6, and 7:
Multiples of 5, 6, and 7: ⌊500/lcm(5,6,7)⌋ = 11
By the inclusion-exclusion principle, the total number of numbers that are multiples of one or more of 5, 6, or 7 is:
n(5) + n(6) + n(7) - n(5,6) - n(5,7) - n(6,7) + n(5,6,7)
= 100 + 83 + 71 - 41 - 35 - 29 + 11
= 160
Therefore, there are 160 numbers between 1 and 500 that are multiples of one or more of 5, 6, or 7.
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help me solve this problem please
Answers
Step-by-step explanation:
nope guy but little you now
A pizza delivery man makes $50.00 a shift. If he makes $3.00 on each delivery he makes, how much
money will he make, if he makes 22 deliveries in one shift. Create an equation to represent this
situation. Write the equation in function notation. State the ordered pair for 22 deliveries and explain
your solution.
Answers
Answer:50+(3x22)=116
Step-by-step explanation:
the sum of the interior angles is 3240° what is the measure of one exterior angle of a regular polygon
Answers
Answer:
18°
Step-by-step explanation:
ANSWER 50 POINTS!!!
Calculate the total value in 2021 of a savings account that was opened in 2013 with $850. The account has earned 3. 25% interest per year, and interest is calculated monthly.
A. $987. 06
B. $1,454. 88
C. $1,084. 20
D. $1,102. 0
Answers
The total value of the savings account in 2021 is $1084.20. Option C.
To calculate the total value of the savings account in 2021, we need to consider the initial deposit, the interest rate, and the compounding frequency. In this case, the savings account was opened in 2013 with $850, and it has earned 3.25% interest per year, with interest calculated monthly.
First, let's calculate the interest rate per month. Since the annual interest rate is 3.25%, the monthly interest rate can be calculated by dividing it by 12 (the number of months in a year):
Monthly interest rate = 3.25% / 12 = 0.2708% (rounded to four decimal places)
Next, we need to determine the number of months between 2013 and 2021. There are 8 years between 2013 and 2021, so the number of months is:
Number of months = 8 years * 12 months = 96 months
Now, we can calculate the total value of the savings account in 2021 using the compound interest formula:
Total value = Principal * (1 + Monthly interest rate)^Number of months
Total value = $850 * (1 + 0.002708)^9
Calculating this expression gives us:
Total value = $850 * (1.002708)^96 = $1084.20 (rounded to two decimal places)
Therefore, the correct answer is option C.
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