Suppose Z has a standard normal distribution with a mean of 0 and a standard deviation of 1. 27% of the possible Z values are smaller than 0.613.
The standard normal distribution, also known as the z-distribution, is a special normal distribution with a mean of 0 and a standard deviation of 1. The normal distribution can be standardized by converting its value to a z-score. The Z-score indicates how many standard deviations each value has from the mean.
The standard normal distribution (z distribution) is a normal distribution with a mean of 0 and a standard deviation of 1. Each point (x) of the normal distribution can be converted to the standard normal distribution (z) using the equation z = (x-mean) / standard deviation.
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10 to the 2nd power divided by 0.00541 to the nearist tenth
Answer:
18484.3
Step-by-step explanation:
[tex]\frac{10^2}{0.00541}[/tex]
[tex]\frac{100}{0.00541}[/tex]
18484.3
The Investment Research Institute reported in its Mutual Fund Fact Book that the number of mutual funds increased from 5,700 in 1999 to 8,064 in 2009. What is the geometric mean annual percent increase in the number of funds
The geometric mean is 6833.049
The value of fund in 1999 is 5,700
value of fund in 2009 is 8,064
We need to find the geometric mean annual percent increase in the number of funds.
The geometric mean is the average of a set of products, it is defined as the compounding effect of the numbers in the series in which the numbers are multiplied by taking nth root of the multiplication.
The calculation of which is commonly used to determine the performance results of an investment or portfolio.
We know, The Geometric mean is = [tex]\sqrt[n]{x_1*x_2*...*x_n}[/tex]
substituting values:
[tex]\\ GM = (5790*8064)^{0.5} = 6833.049[/tex]
Formula used:Geometric mean is = [tex]\sqrt[n]{x_1*x_2*...*x_n}[/tex]
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What is the common difference for this arithmetic sequence?
-6-1,49, 14...
The common difference for the arithmetic sequence in the task content is; -5.
What is the common difference of the arithmetic sequence?The common difference of the sequence which is arithmetic can be evaluated as the difference between each successive term.
Hence, it follows that the common difference is;
-1-(-6) = 4-(-1) = 9-4 = 5.
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Mr. Suksod drives from his house to the office at a rate of speed of 82 km/h in 15 minutes. Mr.
Taylor, whose house is as far from the office as Mr. Suksod's, drives for 10 minutes to reach the
same office. What is the difference in the rate of speed that they drive?
The difference in speed is 41 km /hr.
What is the difference in speed?Average speed is the total distance travelled per time.
Average speed = total distance / total time
The first step is to determine the distance that Mr. Suksod drives.
Distance = average speed x time
82 x (15/60) = 20.50 km
The second step is to determine the average speed of Mr Taylor = 20.50 ÷ (10/60) = 123 km /hr
Difference in speed = 123 - 82 = 41 km /hr
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can somebody , help me find the answer , pls and ty for ur help and pls dont give me a wrong answer just for the points pls and ty .
A university is applying classification methods in order to identify alumni who may be interested in donating money. The university has a database of 58,205 alumni profiles containing numerous variables. Of these 58,205 alumni, only 576 have donated in the past. The university has oversampled the data and trained a random forest of 100 classification trees. For a cutoff value of 0.5, the following confusion matrix summarizes the performance of the random forest on a validation set:
Predicted Actual Donation No Donation 268 Donation 268 20 No Donation 5,375 23,439 The following table lists some information on individual observations from the validation set:
Observation ID Actual Class Probability of Predicted Class Donation A Donation 0.8 Donation B No Donation 0.1 No Donation C No Donation 0.6 Donation a) Compute the values of accuracy, sensitivity, specificity, and precision.
b) Explain how the probability of Donation was computed for the three observations. Why were Observations A and C class fled as Donation and Observation Donation?
The accuracy in the research done by university is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.
Given sample size of 58205 and proportion of people donated 576. Cutoff is 0.5.
Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.
TP=total people donated in sample, TN=total number of people,FP=donation,FN=No donation
Accuracy is calculated as under:
=(TP+TN)/(TP+TN+FP+FN)
=(268+23439)/(238+23439+5375+20)
=23707/29102
=0.81
Accuracy=0.81
Sensitivity is calculated as under:
=TP/(TP+FN)
=268/(268+20)
=268/288
=0.93
Precision is calculated as under:
=TP/(TP+FP)
=268/(268+5375)
=268/5643
=0.047
Their values are the probabilities in itself.
Hence accuracy is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.
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SOMEONE PLS HELP ASAP, ITS GEOMETRY. ITS URGENT PLSSSS
6) ∠FOC is vertical to ∠EOD
7) m∠POF is complementary to M∠FOB.
8) m∠AOC = 30°
How to determine congruent angles?
6) Vertical angles are angles that are opposite of each other when two lines cross. Thus;
∠FOC is vertical to ∠EOD
7) Given that m∠POF + M∠FOB = 90
Two angles are called complementary when their measures add to 90 degrees. Thus;
m∠POF is complementary to M∠FOB.
8) m∠BOC = 150. Thus;
m∠AOC = 180 - 150
m∠AOC = 30° because they are supplementary angles.
9) m∠EOA = 37. Thus;
m∠FOA = 180 - 37
m∠FOA = 143° because they are supplementary angles.
10) ∠EGH is adjacent to ∠OGH
This is from definition of adjacent angles
11) ∠EGH ≅ ∠DOB
m∠HGO = 128°, m∠DOB = 180° - 128° = 52° because they are supplementary angles.
12) m∠EOA = 67°, m∠DOB = 29°. Thus;
m∠EOD = 180 - (67 + 29)
m∠EOD = 84° because sum of angles on a line is 180°
13) m∠AOD + m∠DOB = 180 means that ∠AOD is supplementary to ∠DOB.
14) ∠COF ≅ ∠DOF and so we can say that;
FO is perpendicular to CD.
15) m∠COP = 72° and m∠POF = 31°. Thus;
m∠EOD = 72 + 31
m∠EOD = 103°
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Find the area of the region defined by the region defined by the inequality 2|x| + 3|y-1| ≤ 6.
The area of the region defined by the inequality 2|x| + 3|y-1| ≤ 6 is 12 square units
How to determine the area?The inequality is given as:
2|x| + 3|y-1| ≤ 6
Next, we plot the inequality
From the graph of the inequality (see attachment), we have the following highlights:
The shape is a rhombusThe diagonals are 6 and 4 unitsThe area of a rhombus is:
A = 0.5 * d1 * d1
This gives
A = 0.5 * 6 * 4
Evaluate
A = 12
Hence, the area of the region is 12 square units
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Match the features of the graph of the rational function.
After applying algebraic analysis we find the right choices for each case, all of which cannot be presented herein due to length restrictions. Please read explanation below.
How to analyze rational functions
In this problem we have a rational function, whose features can be inferred by algebraic handling:
Holes - x-values that do not belong to the domain of the rational function:
x³ + 8 · x² - 9 · x = 0
x · (x² + 8 · x - 9) = 0
x · (x + 9) · (x - 1) = 0
x = 0 ∨ x = - 9 ∨ x = 1
But one root is an evitable discontinuity as:
y = (9 · x² + 81 · x)/(x³ + 8 · x² - 9 · x)
y = (9 · x + 81)/(x² + 8 · x - 9)
Thus, there are only two holes. (x = - 9 ∨ x = 1) Besides, there is no hole where the y-intercept should be.
Vertical asymptotes - There is a vertical asymptote where a hole exists. Hence, the function has two vertical asymptotes.
Horizontal asymptotes - Horizontal asymptote exists and represents the end behavior of the function if and only if the grade of the numerator is not greater than the grade of the denominator. If possible, this assymptote is found by this limit:
[tex]y = \lim_{x \to \pm \infty} \frac {9\cdot x + 81}{x^{2}+8\cdot x - 9}[/tex]
y = 0
The function has a horizontal asymptote.
x-Intercept - There is an x-intercept for all x-value such that numerator is equal to zero:
9 · x + 81 = 0
x = - 9
There is a x-intercept.
Lastly, we have the following conclusions:
How many holes? 2One horizontal asymptote along the line where y always equals what number: 0This function has x-intercepts? TrueOne vertical asymptote along the line where x always equals what number: 1There is a hole where the y-intercept should be? FalseTo learn more on rational functions: https://brainly.com/question/27914791
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Kevin built a wooden flower box for his garden. The area of the base of the box is 264 square centimeters. If the rectangular base has the dimensions shown below, what
is the value of x?
I'm not sure
this app is the wrst don't trust it
The value of the variable x will be 44 cm.
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
Kevin built a wooden flower box for his garden. The area of the base of the box is 264 square centimeters.
If the rectangular base has the dimensions shown below.
Then the value of the variable x will be
A = L × W
264 = 6x
x = 264 / 6
x = 44 cm
The value of the variable x will be 44 cm.
The top view of the wooden flower box is given below.
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4.
Please answer the question on exponential growth or decay. Round to
if
the nearest whole number or penny if the question is concerning money
necessary
Arubber bouncy ball is dropped from a
height of 192.00 cm onto a hard flat floor.
After each bounce, the ball returns to a
height that is 20% less than the previous
maximum height. What is the maximum
height reached after the 10th bounce?
Using a decaying exponential function, it is found that the maximum height reached after the 10th bounce is of 20.62 cm.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the parameters are:
A(0) = 192, r = 0.2.
Hence the maximum height after the nth bounce is:
[tex]A[n] = 192(0.8)^n[/tex]
After the 10th bounce, the maximum height in cm is of:
[tex]A[10] = 192(0.8)^10 = 20.62[/tex]
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if x= -5 what will the value of y be if y equals 4 - x2
Answer:
The number that could not be a value of y if y = 4x² - 6 is -12.
Step-by-step explanation:
What is the value of y for a function of f(x)?The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.
So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.
y = 4(0) - 6
y = 0 - 6
y = -6
Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.
Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
If x=-5, what is y is y=4-x²?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
Put in the value of x.
[tex]\bf{y=4-(-5)^2}[/tex] | evaluate using Bodmas
[tex]\bf{y=4-25}[/tex] | subtract
[tex]\bf{y=-21}[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=y=-21}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic \not1 \theta l}}[/tex]
Please Help!!
1. Research the history of the Great Pyramids of Giza. In your research, be sure to include the pyramids' actual dimensions such as height and base measurements.
2. Choose one of the Great Pyramids of Giza and create a scale drawing using an exact proportion between the pyramid and scale drawing.
The actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.
How to illustrate the information?The Great Pyramid is the largest Egyptian pyramid and also the tomb of rge Fourth dynasty Pharaoh.
It should be noted that the actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.
It is also the oldest of the seven wonders of the world.
A scale scale drawing using an exact proportion between the pyramid will be 147 to 230.
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Answer:
The actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.
How to illustrate the information?
The Great Pyramid is the largest Egyptian pyramid and also the tomb of the Fourth dynasty Pharaoh.
It should be noted that the actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.
It is also the oldest of the seven wonders of the world.
A scale drawing using an exact proportion between the pyramid will be 147 to 230.
If one line passes through the points open parentheses negative 3 comma space minus 5 close parentheses space and open parentheses 1 comma space 3 close parentheses space and another line passes through the points open parentheses 0 comma space 1 close parentheses space and open parentheses 2 comma space 0 close parentheses determine if the two lines are parallel, perpendicular, or neither.
The pair of lines are parallel.
What is line?A line is a one-dimensional figure, which has length but no width.
Given:
lines passes through (-3, -5) and (1, 3)
and, line passes through (0, 1) and (2, 0)
equation of line
y + 5 = -1/2 (x + 3)
-2y - 10 = x + 3
x + 2y + 13 = 0
and, equation of line
y - 1 = -1/2 (x - 0)
-2y + 2 = x
x + 2y -2 = 0
m1= -1/2 and m2 = -1/2
Hence, the lines are parallel.
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Which is the best approximation for the solution of the system of equations?
y = A system of equations. y equals negative StartFraction 2 over 5 EndFraction x plus 1. y equals 3 x minus 2.x + 1
y = 3x – 2
(0.45, 0.88)
(0.88, 0.65)
(0.88, 1.1)
(1.3, 0.88)
The solution to the system of equations is the point of intersection of the two lines which is at; (0.88, 0.65)
How to find the solution of simultaneous equations?The two simultaneous equations of the line are given as:
y = -²/₅x + 1 -----(1)
y = 3x – 2 -----(2)
Subtracting equation 1 from equation 2 gives;
3.4x - 3 = 0
3.4x = 3
3.4x/3.4 = 3/3.4
x = 0.88
Substitute x = 0.88 in equation 2 to get;
y = 3(0.88) - 2
y = 2.65 - 2
y = 0.65
Thus, the solution to the system of equations is the point of intersection of the two lines which is at (0.88, 0.65).
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I don’t know the answer
Answer:
[tex]x^{16}[/tex]
Step-by-step explanation:
In this situation, you would add the two exponents (the little numbers at the top) together for the answer.
Answer:
x¹⁶
Step-by-step explanation:
x⁷ × x⁹ = x⁷⁺⁹ = x¹⁶
Are these functions or not?
Answers:
Not a functionNot a functionFunctionNot a function=====================================================
Explanation:
A function has any given input lead to exactly one output.
Relation 1 has the input "paper" lead to more than one output, which are the values 9 and -3. Therefore, relation 1 is not a function.
Relations 2 and 4 are similar stories.
---------
In contrast, relation 3 has each input lead to exactly one output, which is why we have a function here.
Put another way: a function cannot have the x coordinates repeat, but the y coordinates can repeat.
Please help ill give whoever answers the best the brainliest answer :)
Answer:
3. Linear: f(x) = 1320(1.20)^2
Step-by-step explanation:
Exponential Growth Formula: f(x) = [tex]x_{0}[/tex] × (1 + r)^x
f(x) is the value at time t.
x0 is the initial value at time t=0.
x0 = 1320
r = 20% = 0.2
Solve:
f(x) = [tex]x_{0}[/tex] × (1 + r)^x
f(x) = 1320 × (1 + 0.2)^2
f(x) = 1320(1.2)^2
Answer: 3rd answer
Step-by-step explanation:
Because Purdue starts with 1320 employees, and then multiplies that by 1.2 each year. If x represents 3 years, Purdue has:
1320(1.2)^3
=1320(1.728)
=2280.96
Given that x = 3 + 8i and y = 7 - i, match the equivalent expressions.
By applying operations for complex numbers, we have these:
- 5 · x + y = - 8 - i 41- x · y = - 29 - i 53x · 2 · y = 58 + i 1062 · x - 3 · y = - 15 + i 19How to find four equivalent complex expressions
Herein we must apply the operations of summing two complex numbers, multiplying two complex numbers and multiplying a complex number by a real number, which are defined below:
Addition between two complex numbers
(a + i b) + (c + i d) = (a + c) + i (b + d) (1)
Multiplication between two complex numbers
(a + i · b) · (c + i d) = (a · c - b · d) + i (b · c + a · d)
Multiplication of a complex number by a real number
k · (a + i b) = k · a + i k · b (2)
Now we proceed to find the equivalent expressions:
- 5 · x + y = - 5 · (3 + i 8) + (7 - i) = (- 15 - i 40) + (7 - i) = - 8 - i 41
- x · y = - (3 + i 8) · (7 - i) = (- 3 - i 8) · (7 - i) = (- 21 - 8) + i (- 56 + 3) = - 29 - i 53
x · 2 · y = (3 + i 8) · 2 · (7 - i) = (3 + i 8) · (14 - i 2) = (42 + 16) + i (112 - 6) = 58 + i 106
2 · x - 3 · y = 2 · (3 + i 8) - 3 · (7 - i) = (6 + i 16) + (- 21 + i 3) = - 15 + i 19
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A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, positive 1, positive 2. The second column is labeled f(x) with entries negative 13, negative 10, negative 7, negative 4, negative 1. What is the rate of change of the linear function represented by the table? StartFraction one Over three EndFraction StartFraction one Over two EndFraction 2 3
The rate of change of the linear function represented by the table is 3
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The standard linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the y intercept.
From the table, using the point (0, -7) and (2, -1):
m = [-1 - (-7)] / (2 - 0) = 3
The rate of change of the linear function represented by the table is 3
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In the diagram, ΔGHJ ≅ ΔSTU.
Triangles G H J and T U S are shown. The lengths of sides G H and G J are 5 centimeters. Angle G H J is 67 degrees. The lengths of sides T S and U S are 5 centimeters. The length of T U is 3.7 centimeters.
What are the missing measures in the diagram?
m∠J =
°
m∠T =
°
m∠G =
°
ST =
cm
HJ =
cm
Step-by-step explanation:
angle J is also 67 deg since the triangle is an isosceles triangle
angle T is 67 deg since the 2 triangles are congruent
angle G = 180 - 2x67 = 46 deg
ST is 5cm
HJ is 3.7cm
Answer:
What are the missing measures in the diagram?
m∠J =
✔ 67
°
m∠T =
✔ 67
°
m∠G =
✔ 46
°
ST =
✔ 5
cm
HJ =
✔ 3.7
cm
Step-by-step explanation:
find the mean of factors of 18
write y=1/6x+7 in standard form using integers
The standard form using integers of the equation is 6y - x = 42
How to determine the standard formNote that solving in standard form means writing it as a simple equation
Given y = 1/6x + 7
Find the LCM of the right side, we have
y = [tex]\frac{x + 42}{6}[/tex]
Cross multiply
6 × y = x + 42
6y = x + 42
Make the variables move to the left side
6y - x = 42
Thus, the standard form using integers of the equation is 6y - x = 42
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A piecewise function g(x) is represented by the graph.
Which functions represent a piece of the function? Select three options.
The piecewise functions that are represented by the graph are; g(x) = −2, x < −2; g(x) = −2x + 6, x ≥ 1; g(x) = x/2 + 1, –2 ≤ x < 1
How to Interpret a Piecewise Function graph?From the attached graph of the piecewise function, we can access each option as follows;
A) g(x) = −2x, −2 < x < 0
This is not represented by the graph because g(x) = −2x has negative slope which means it goes downward. There's also no y-intercept in g(x) = −2x.
B) g(x) = −2, x < −2;
This is represented by the graph because g(x) = −2 is a horizontal line which is only on the left side of x = -2.
C) g(x) = x − 2, −2 < x < 1;
This is not represented by the graph because g(x) = x − 2 has y-intercept at y = -2 and slope of 1 which means that graph of g(x)= x - 2 must be going upward and crossing at y = -2.
D) g(x) = −2x + 6, x ≥ 1
This is represented by the graph because g(x) = −2x+6 satisfies the graph which is going downward.
E) g(x) = x/2 + 1, –2 ≤ x < 1
This is represented by the graph because g(x) = (x/2) + 1 satisfies the graph which is going downward.
The options are;
g(x) = −2x, −2 < x < 0
g(x) = −2, x < −2
g(x) = x − 2, −2 < x < 1
g(x) = −2x + 6, x ≥ 1
g(x) = x/2+ 1, –2 ≤ x < 1
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There are x cats and y dogs in a section of a judging competition. The judges will not allow more than 20 animals in this section of the competition. A. Write an inequation to show the above information.
Tavon has a gift card for 80$ that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30-day period it is not used.
Answer:
Im guessing you want it as a equation
80-3.50x+70-3x
x being the ammount of time
Step-by-step explanation:
Find y.
Help me please thanks
Answer:
Step-by-step explanation:
Discussion
First draw FH
<FOH and <FGH share the end points of the chord FH
<FOH is a central angle.
<FGH touches the circumference of the circle in the on the same side of the point of angle <FOH is closest to
Therefore <FGH is 1/2 <FOH. That is always true of central angles and the smaller angle touching the circumference that <FOH points to
Conclusion
<FGH = 1/2 < FOH
58 = 1/2 <FOH
Therefore <FOH = 2 * 58 = 116
y = < FOH
Answer
y = 116
There are 8 apples in a small fruit basket and 14 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 58 apples, write an equation that represents the total number of apples that Sally has.
The equation that represents the total number of apples that Sally has will be the equations x + y = 8 and 8x + 14y = 58
System of equationSystem of equations are equations that consists of two or more equations.
Let the number of small fruits basket be y
Large fruit basket be y
If Sally buys a total of 5 fruit baskets, then;
x + y = 8
If there are 8 apples in a small fruit basket and 14 apples in a large fruit basket with a combined total of 58 apples, then;
8x + 14y = 58
The equation that represents the total number of apples that Sally has will be the equations x + y = 8 and 8x + 14y = 58
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What is the value of x and y
Hello !
We solve this system:
[tex]\begin{cases} 2y + 2 &=3y - 9 \: \: \: \: (1)\\ 3x + 6 &=y + 4 \end{cases}[/tex]
[tex](1) : 2y + 2 = 3y - 9 \\ - y + 2 = - 9 \\ - y = - 11\\ y = 11[/tex]
We replace y by 11 in the second equation:
[tex]3x + 6 = 11 + 4 \\ 3x + 6 = 15 \\ 3x = 9 \\ x = \frac{9}{3} = 3[/tex]
_____________
[tex]x = 3[/tex]
[tex]y = 11[/tex]
Have a nice day ;)
Answer:
x = 3
y = 11
Step-by-step explanation:
Since DRWH is a parallelogram
Then ,the opposite sides are congruent
Then , DR = HW and DH = RW
………………………………………………
DR = HW
⇔ 2y + 2 = 3y - 9
⇔ 9 + 2 = 3y - 2y
⇔ 11 = y
⇔ y = 11
DH = RW
⇔ 3x + 6 = y + 4
⇔ 3x + 6 = 11 + 4
⇔ 3x + 6 = 15
⇔ 3x = 15 - 6
⇔ 3x = 9
⇔ x = 9/3
⇔ x = 3
Angles related to a circle. Solve for x.
The value of x from the given circle is 12
Circle theoremAngle at the vertex of the circle is half the angle at its intercepted arc.
From the given circle;
The measure of <DEF = 80/2 = 4x -8
Equate both angles
4x - 8 = 80/2
Add 8 to both sides
4x - 8 + 8 = 40 + 8
4x = 48
x =12
Hence the value of x from the given circle is 12
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