find the area under the standard normal curve to the right of z=0.81z=0.81. round your answer to four decimal places, if necessary
Answers
The area under the standard normal curve to the right of z=0.81 is approximately 0.2090. To find this area, we first look up the area to the left of z=0.81 in a standard normal table or calculator, which is approximately 0.7910. We then subtract this value from 1 since the total area under the standard normal curve is 1. The result is approximately 0.2090, which is the area under the standard normal curve to the right of z=0.81.
To find the area under the standard normal curve to the right of z=0.81, follow these steps:
1. Look up the z-score of 0.81 in a standard normal table or use a calculator with a built-in z-table function. This will give you the area to the left of z=0.81.
2. Since the total area under the standard normal curve is equal to 1, subtract the area to the left of z=0.81 from 1 to find the area to the right of z=0.81.
3. Round your answer to four decimal places, if necessary.
After looking up the z-score of 0.81 in a standard normal table, we find the area to the left is approximately 0.7910. Subtracting this value from 1, we get:
1 - 0.7910 = 0.2090
So, the area under the standard normal curve to the right of z=0.81 is approximately 0.2090.
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Related Questions
what 1x0 -p1s yyyyrr
Answers
anything multiplied by 0 = 0.
Answer:
87
Step-by-step explanation:
1x0=97x1x0xratio=87
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEE
13. Write an equation of the graph in slope-intercept form.
14. If misty has been traveling for 9 hours, how many miles of the trip does she have remaining?
15. If there are 50 miles in the trip remaining, how many hours has misty been traveling?
Answers
The Equation of the graph in slope-intercept form is 3y = 1350 - 100x
Misty will travel 150 miles after 9 hours
It will take misty 12 hours to cover 50 miles
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Equation of line in slope-intercept form is y = mx + c
let y be the distance in miles and x be the time in hours.
from the graph when x = 0, y = 450
substituting into the equation,
450 = 0(m) + c
c = 450 which is the intercept
Also from the graph, taking the point (3, 350)
when x = 3, y = 350
350 = 3m + 450
3m = 350 - 450
3m = -100
m = -100/3
SO the equation of straight line becomes
y = -100x/3 + 450
multiply through by 3
3y = -100x + 1350
if misty travel 9 hours that is x = 9, then y =
3y = -100(9) + 1350
3y = 450
y = 450/3
y = 150 miles
If there are 5o miles remaining,
y = 50, x =
3(50) = -100x +1350
100x = 1350 -150
100x = 1200
x = 1200/100
x = 12 hours.
The Equation of the graph is 3y = 1350 - 100x
Misty will travelled 150 miles after 9 hours
It will take misty 12 hours to cover 50 miles
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Cheryl is taking an online test that gives her instant results. After answering 16 questions, the test revealed that 10 were answered correctly. She
then answered I consecutive questions correctly and achieved her goal of 80% accuracy. Write an equation that can be used to determine
how many questions she answered correctly to reach her goal.
Help ;-;
Answers
3² +4² = 5²,
6² + 8² = 10² and
9² + 12² = 15²
Can you prove,using algebraic method,that this relationship will be true for any multiple of the triple,
3, 4, 5?
Prove that the statement
5² +12² =13² will hold true for any multiple of this triple.
Answers
Answer:
They are all true
Step-by-step explanation:
1. 3² +4² = 5²
3x3 + 4x4 = 5x5
9 + 16 = 25
25 = 25
-----------------------
2. 6² + 8² = 10²
36 + 64 = 100
100 = 100
------------------
3. 9² + 12² = 15²
81 + 144 = 225
225 = 225
-------------------
4. 5² +12² =13²
25 + 144 = 169
169 =169
-------------------
formula of (a^3+b^3)
Answers
Answer:
\((a+b)(a^2-ab+b^2)=(a^3+b^3)\)
Step-by-step explanation:
Question
The manufacturer of pencils spends $0.05 to make each pencil and sells them for 0.25. The manufacturer also has fixed
costs each month of $2000.
Find the revenue function R when x pencils are manufactured.
Answers
Answer:C(x) = 2000+ 0.05 x
Step-by-step explanation: Cost (C) = fixed cost + (cost per pencil x number of pencils)
Since:
Fixed cost: $2000
Cost per pencil : $0.05
Replacing with the values given:
C(x) = 2000+ 0.05 x
Where x is the number of pencils manufactured.
Feel free to ask for more if needed or if you did not understand something.
.In a multiple regression model, the variance of the error term `eâ is assumed to be the same for all values of the dependent variable.
A)the same for all values of the independent variable
B)zero.
C)the same for all values of the independent variable.
D)one.
Answers
In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.
In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.
The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.
The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.
This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).
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please help solve the inequality.
Answers
Answer:
Are there two you're asking for?
#2: x ≥ 9
#3: x > -2
Step-by-step explanation:
#2 Work:
x - 13 ≥ -4
Step 1: Add 13 to both sides
x - 13 + 13 ≥ -4 + 13
Add -4 and 13 to get 9.
x ≥ 9
#3 Work:
x/2 > -1
Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same
x/2 * 2 > -1 * 2
x > -2
what’s the answer to this?
Answers
The correct option is B: They both are correct. The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.
What is referred as the translation?In geometry, translation refers to a function that shifts an object a specified distance. The component is not otherwise altered. It has not been rotated, mirrored, or resized.When performing a translation, this same initial object is referred to as the pre-image, as well as the object after translation is referred to as the image.for the given question.
The parent function is f(x) = x + 1.
The translated function is g(x).
As, it is shown in the graph that there is a shift of 4 units up as well as 4 units to the left of the original line.
It mean both Veronica and Drawn are correct.
Thus, The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.
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In parallelogram HIJK, the measurement of angle H is 45 degrees, find the measure of angle K
Answers
Answer:
< K = 135
Step-by-step explanation:
< K = 180 - < H
= 180 - 45 = 135
The measure of angle K is 135 degrees and this can be determined by using the properties of a parallelogram.
Given :
In parallelogram HIJK, the measurement of angle H is 45 degrees.
The following steps can be used in order to determine the measure of angle K:
Step 1 - According to the definition of a parallelogram, the opposite sides of a parallelogram are parallel.
Step 2 - According to the given data, the measurement of angle H is 45 degrees.
Step 3 - So, according to the definition of a parallelogram, the measure of angle K is:
\(\rm \angle H + 90 = \angle K\)
\(\rm 45 + 90 = \angle K\)
\(\rm \angle K =135^\circ\)
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Given P(A1) = 0.40, P(B1 /A1) = 0.60, and P(B1 /A2) = 0.70, what is the probability of P(A2 /B2)? b) Given P(A1) = 0.60, P(B1 /A1)= 0.60, and P(B1 /A2)= 0.40, what is the probability of P(A1/B1)
Answers
Theorem: P(A1/B1) = (P(B1/A1) x P(A1)) / P(B1) + (P(B1/A2) x P(A2)) / P(B1)P(A1/B1) = (0.60 x 0.60) / 0.52 + (0.40 x 0.40) / 0.52P(A1/B1) = 0.69
a) Using Bayes' theorem, the probability of P(A2/B2) can be calculated as follows:Bayes' Theorem is a statistical method used to determine the probability of a particular event based on the prior knowledge of the conditions related to the event. It helps in calculating conditional probabilities using the Bayes' formula.
The probability of P(A2/B2) can be calculated as follows: Using Bayes' theorem : P(A2/B2) = (P(B2/A2) x P(A2)) / P(B2)
Now, we are given: P(A1) = 0.40, P(B1 /A1) = 0.60, P(B1 /A2) = 0.70So, P(B2 /A1) = 1 - P(B1 /A1) = 1 - 0.60 = 0.40and, P(B2 /A2) = 1 - P(B1 /A2) = 1 - 0.70 = 0.30
Now, to calculate the probability of P(B2), we use the law of total probability.
P(B2) = P(B2 /A1) x P(A1) + P(B2 /A2) x P(A2)P(B2) = 0.40 x 0.40 + 0.30 x 0.60P(B2) = 0.12 + 0.18 = 0.30
Now, we can substitute the values into the Bayes' theorem: P(A2/B2) = (P(B2/A2) x P(A2)) / P(B2)P(A2/B2) = (0.30 x 0.60) / 0.30P(A2/B2) = 0.60
b) Using Bayes' theorem, the probability of P(A1/B1) can be calculated as follows:
Using Bayes' theorem:
P(A1/B1) = (P(B1/A1) x P(A1)) / P(B1) + (P(B1/A2) x P(A2)) / P(B1)Now, we are given:
P(A1) = 0.60, P(B1 /A1)= 0.60, and P(B1 /A2)= 0.40
To calculate P(B1), we use the law of total probability:
P(B1) = P(B1/A1) x P(A1) + P(B1/A2) x P(A2)P(B1) = 0.60 x 0.60 + 0.40 x 0.40P(B1) = 0.36 + 0.16 = 0.52
Now, we can substitute the values into the Bayes' theorem :P(A1/B1) = (P(B1/A1) x P(A1)) / P(B1) + (P(B1/A2) x P(A2)) / P(B1)P(A1/B1) = (0.60 x 0.60) / 0.52 + (0.40 x 0.40) / 0.52P(A1/B1) = 0.69
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Darius took six hours to drive home from college . He drove a total distance of 336 miles. he was able to average 60 mph for part of the trip but had to slow down to an average of 48 mph. how many hours did you drive at each speed?
Answers
Data:
d = 336 mi (total distance)
v1 = 60 m/h (speed 1)
v2 = 48 m/h (speed 2)
In order to compute the time in hours, we can divide the distance by each speed.
\(\begin{gathered} t_1=\frac{d}{v_1}=\frac{336mi}{60\frac{mi}{h}}=5.6h \\ t_2=\frac{d}{v_2}=\frac{336mi}{48\frac{mi}{h}}=7h \end{gathered}\)Therefore, driving at 60mph Darius will spend 5.6 hours and driving at 48 mph he will spend 7 hours.
Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).
Answers
the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3) are (1/2, 1, 3/2).
What do you understand by equidistant points?Equidistant is a synonym for "equally distant," which is the state of two points being at the same distance from one another. Equidistant implies at the same distance from a location. The term "equidistant" is commonly used in reference to circles, perpendicular bisectors, parallel lines, and other geometrical concepts .Equidistant refers to the relationship between two or more objects or points that are situated at the same distance from one another. A point is considered to be equidistant from two other points when they are both located at the same distance from it. In the middle of the two starting points is a midway. The distance formula or the halfway formula can be used to demonstrate this.
Equation of sphere passes through origin is given by
x2 + y2 + z2 + ax + by+ cz =0
Given, it also passes through (1,0,0), (0,2,0),(0,0,3)
1+ a = 0, a = -1
4+2b =0, b=-2
And, 9+3c = 0, c= -3
The equation of the sphere becomes x2 +y2+ z2 -x -2y -3z = 0
Comparing with x2 +y2+ z2+ 2gx +2fy +2kz +C =0
Therefore the point that is equidistant from all the given points will be the centre of the sphere passing through all these points.
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a random sample of 150 recent donations at a certain blood bank reveals that 82 were type a blood. does this suggest that the actual percentage of type a donations differs from 40%, the percentage of the population hav-ing type a blood? carry out a test of the appropriate hypotheses using a significance level of .01. would your conclusion have been
Answers
Therefore ,we reject H₀ Percentage of type A blood donations differs from 40% (percentage of population having type A blood)
Specify the hypothesis.According to the scientific method, a theory cannot be regarded as scientific unless it has been tested. The majority of scientific hypotheses are based on observations from the past that cannot be adequately explained by the state of knowledge at the time.
Here,
We are going to develop a proportion test.
Information we have:
Proportion P₀ = 40 % P₀ = 0,4 (percentage of population having type A blood)
Sample size n = 150
Sample mean P = 82/ 150 P = 0,5466
As P₀ = 0,4 Q₀ = 0,6 P₀*Q₀ = 0,24
1.-Test Hypothesis:
H₀ null hypothesis P₀ = 0.4
Hₐ alternative hypothesis P₀ ≠ 0.4
2.- signficance level
a ) α = 0.01 we have a two tail-test α/2 = 0.005
b ) α = 0.05 α/2 = 0.025
Then from t-student table we get t(c) n = 150 df = 149
a ) α/2 = 0.005 t(c) = 2.581
b ) α/2 = 0.025 t(c) = 1.962
3.-Compute t(s)
t(s) = ( P - P₀ ) / √P₀Q₀/n
Plugging in known values
t(s) =[ ( 0.5466 - 0,4 )*√150 ] / √0.24
t(s) = 0,1466 * 12.25 / 0.4899
t(s) = 3.6657
Compare t(s) and t(c)
t(s) > t(c) 3.6657 > 2.581
Then t(s) is out of the acceptance region we reject H₀.
Simple inspection led us see that for
α/2 = 0.025 t(c) = 1.962
The situation is the same
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Solve the equation.
-9x + 1 = -x + 17
X=-8
O X=-2
X = 2
X = 8
Answers
Answer:
-9x + x = 17 – 1
8x = 16
X = 16/8
X=2
Which equation represents the volume of each cone?
Answers
The equation which represents the volume of each cone is as follows:
V = (1/3)πr²h
Explanation :
In this equation, "V" represents the volume of the cone, "r" represents the radius of the base, and "h" represents the height of the cone.
V represents the volume of the cone. Volume is a measure of the space occupied by an object, and in this case, it refers to the space inside the cone.
π (pi) is a mathematical constant approximately equal to 3.14159. It is used in calculations involving circles and spheres.
r represents the radius of the base of the cone. The radius is the distance from the center of the base to any point on its circumference. Squaring the radius, r², gives us the area of the base.
h represents the height of the cone. It is the perpendicular distance from the base to the vertex (top) of the cone.
When we multiply the area of the base (πr²) by the height (h) and divide the result by 3, we get the volume of the cone. The division by 3 is necessary because the volume of a cone is one-third the volume of a cylinder with the same base and height.
So, the equation V = (1/3)πr²h provides a way to calculate the volume of a cone based on its radius and height.
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Plsss help I’ve done this so many times and keep failing
Answers
Answer:
that seems very hard i dont think there is a inverse maybe there is but it dont seem like it
5x
3.
+
4x2-9
2x+1
2x2+x-3
Answers
Answer:
~Re-write the equation~
SOLVE:
5x(3)+4x (2-9)+(2x+1)+(2x2+x-3)
5(1)(3)=15
4(2-9)=8+36=44
2x+1=3
2x2+x-3:4(1)-3=1
15+44+3+1
ANSWER=63x
Step-by-step explanation:
I wasn't quite sure because of the way you wrote it but here's an answer!
to which set of numbers does the number-5 belong? select all that apply
A.integer
B.natural numbers
C.rational numbers
D.real numbers
E.whole numbers
Answers
-5 is neither a whole number nor a natural number. This is because negative numbers are not included in these. Hope this helps! Let me know:)
Which rule maps figure 1 onto figure 2
Answers
Answer:
Step-by-step explanation:
Determine f(5)
f(x)=2x'2-1 if x < or equal to -1
3x+2 if x > -1
Answers
Answer:
To make it clearer, I just put every thing under the formal form
f(x) = \(\left \{ {{2x^2-1~~~~if~~~~ x\leq -1} \atop {3x+2~~~~~if~~~~~x>-1}} \right.\)
Step-by-step explanation:
Now, you have 2 equations with 2 conditions. One is > -1, and one is < -1.
The question is about f (5). So, which equation you use to replace x = 5? The first one or the second one? and why?
Answering those questions help you understand how it works.
Anna is following this recipe to make biscuits.
Anna uses 550 g of sugar.
How many grams of oats will she need?
Recipe: Makes 24 biscuits
125 g margarine
100 ml syrup
275 g oats
110 g sugar
55 g chocolate
Answers
Answer:
Anna will need 1375 g of oats
110:275
550:x
To find x,we do (275*550)/110
Which is 1375gs of oats
James had 568 books to put into 9 boxes. How many boxes were in each box ?Where there any book left that needs another box?
Answers
Answer:
63 books in each boxes
1 book left which need a box
Step-by-step explanation:
James has 568 books
He plans to put them into 9 boxes
Therefore the number of books n each boxes can be calculated as follows
= 568/9
63 remainder 1
Hence there would be 63 books in each boxes and 1 book would be left which need another box
Michael is packing his bags for his vacation. He has 9 unique shirts, but only 5 fit in his bag.
How many different groups of 5 shirts can he take?
Answers
Answer:
126
Step-by-step explanation:
Khan Academy
Consider the proof.
Given: Segment AB is parallel to line DE.
Prove:StartFraction A D Over D C EndFraction = StartFraction B E Over E C EndFraction
Triangle A B C is cut by line D E. Line D E goes through side A C and side B C. Lines A B and D E are parallel. Angle B A C is 1, angle A B C is 2, angle E D C is 3, and angle D E C is 4.
A table showing statements and reasons for the proof is shown.
What is the missing statement in Step 5?
AC = BC
StartFraction A C Over D C EndFraction = StartFraction B C Over E C EndFraction
AD = BE
StartFraction A D Over D C EndFraction = StartFraction B E Over E C EndFraction
Answers
The missing statement in Step 5 include the following: B. AC/DC = BC/EC.
What are the properties of similar triangles?In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Based on the angle, angle (AA) similarity theorem, we can logically deduce the following congruent triangles:
ΔABC ≅ ΔDEC ⇒ Step 4
By the definition of similar triangles, we can logically deduce the following proportional and corresponding side lengths:
AC/DC = BC/EC ⇒ Step 5
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Find the volume of the solid generated by revolving the region bounded by the following lines and curve about the x-axis. y=x^2,y=0,x=2 a.(16pi)/3 b.(32 pi)/3 c.(32 pi)/5 d.(16 pi)/9 e.(19pi)/2
Answers
Therefore, the volume of the solid generated by revolving the region bounded by y= x2, y = 0, and x = 2 about the x-axis is 16.
To find the volume of the solid generated by revolving the region bounded by y=x^2, y=0, and x=2 about the x-axis, we will use the method of cylindrical shells.
First, let'sgraph the region to better visualize it.
graph{y=x^2 [-10, 10, -5, 5]}
The region is bounded by the x-axis, the line x=2, and the curve y=x^2. When we revolve this region about the x-axis, we will generate a solid with a cylindrical shape. To find the volume of this solid, we will slice it into thin cylindrical shells and add up the volumes of each shell.
Let's consider a thin slice of the region at x. The height of this slice will be given by the curve y=x^2, and the thickness of the slice will be dx. When we revolve this slice about the x-axis, it will generate a cylindrical shell with radius x and height x^2. The volume of this shell can be calculated using the formula for the volume of a cylinder:
V = 2πrxh
where r is the radius of the cylinder, h is its height, and π is the constant pi. In this case, we have r = x and h = x^2, so
V = 2πx(x^2)
V = 2πx^3
To find the total volume of the solid, we need to add up the volumes of all these cylindrical shells from x=0 to x=2:
V = ∫(0 to 2) 2πx^3 dx
V = πx^4 |(0 to 2)
V = π(2^4 - 0^4)
V = 16π
Therefore, the volume of the solid generated by revolving the region bounded by y=x^2, y=0, and x=2 about the x-axis is 16π.
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What is the part of line having 1 endpoint and extending in one direction?
Answers
A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.
A ray is named using its endpoint first, and then any other point on the ray
Properties of ray:
A line is a series of points placed together that continue infinitely.When this line is restricted from one direction and is extended in the other direction indefinitely, it forms a ray.It has just one starting point and does not have an opposite end and goes through and cuts many points and lines and is often used to draw angles, and we cannot measure the length of a ray.To know more about ray:
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4. Find the length of arc s.
7 cm
0
02 cm.
5 cm
Answers
The length of the arc s as required to be determined in the task content is; 17.5 cm.
What is the length of the arc s?It follows from the task content that the length of the arc s is to be determined from the given information.
By observation, the angle subtended at the center of the two concentric circles is same for the 2cm and 5 cm radius circles.
Therefore, it follows from proportion that the length of an arc is directly proportional to the radius of the containing circle.
Therefore, the ratio which holds is;
s / 5 = 7 / 2
s = (7 × 5) / 2
s = 17.5 cm.
Ultimately, the length of the arc s is; 17.5 cm.
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Find the volume of a prism
Answers
Answer:
84
Step-by-step explanation:
add em all together
Solve the following equation for the variable given
Sole Y=mx+b for b
Answers
The solution for b is y-mx in the equation y=mx+b.
The given equation is y=mx+b
y equal r=to m times of x plus b
We need to solve for b in the equation
To solve we have to isolate b from the equation
Subtract mx from both sides
y-mx=b
Hence, the solution for b is y-mx in the equation y=mx+b.
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