- - - 3. Find the area under the standard normal curve between: (a) z = -1.20 and 2 = 1.20 (b) z = 1.23 and 2 = 1.87 = (c) z = -2.35 and 2 = -0.5 z (d) z> 2.16 (e) -0.8 < < 1.53 Note: You should bring
Answers
To find the area under the standard normal curve, we need to use a standard normal distribution table or a calculator with a normal probability distribution function.
(a) To find the area between z = -1.20 and z = 1.20, we can use the symmetry property of the normal distribution curve and find the area to the right of z = -1.20 and double it:
P(-1.20 < z < 1.20) = 2 * P(z < 1.20) - 1 = 2 * 0.8849 - 1 = 0.7698
Therefore, the area under the standard normal curve between z = -1.20 and z = 1.20 is approximately 0.7698.
(b) area between z = 1.23 and z = 1.87
P(1.23 < z < 1.87) = P(z < 1.87) - P(z < 1.23) = 0.9693 - 0.8907 = 0.0786
Therefore, the area under the standard normal curve between z = 1.23 and z = 1.87 is approximately 0.0786.
(c) area between z = -2.35 and z = -0.5
P(-2.35 < z < -0.5) = P(z < -0.5) - P(z < -2.35) = 0.3085 - 0.0094 = 0.2991
Therefore, the area under the standard normal curve between z = -2.35 and z = -0.5 is approximately 0.2991.
(d) To find the area to the right of z = 2.16
P(z > 2.16) = 1 - P(z < 2.16) = 1 - 0.9842 = 0.0158
Therefore, the area under the standard normal curve to the right of z = 2.16 is approximately 0.0158.
(e) To find the area between z = -0.8 and z = 1.53
P(-0.8 < z < 1.53) = P(z < 1.53) - P(z < -0.8) = 0.9370 - 0.2119 = 0.7251
Therefore, the area under the standard normal curve between z = -0.8 and z = 1.53 is approximately 0.7251.
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Related Questions
1 basic algebreh im slow hlp me 2
Answers
Answer:
it is D
Step-by-step explanation:
Answer:
\(5i \sqrt{7} \)
Step-by-step explanation:
\( \sqrt{ - 175} = \sqrt{175} \sqrt{ - 1} \\ = 5i \sqrt{7} \)
I hope I helped you^_^
an angle in standard position is a positive angle if the generating line, the terminal side, is rotated counterclockwise. question 5 options: true false
Answers
The given statement is TRUE
If an angle is counterclockwise then the angle is said to be positive.
We can conclude and find the explanation such that,
If any angle is measured in the direction equivalent to counterclockwise from the starting point of the terminal side then that angle is termed a positive angle whereas if an angle is measured from the direction clockwise then the angle is termed as a negative angle.
Refer to the attached images to find the phenomenon of positive and negative angles.
For example: According to the first figure let us draw an angle of 90°
We will calculate this angle as = \(\frac{90}{360}\)
= 1/4
Thus, moving counterclockwise in the positive x-axis.
According to the second figure let us draw the angle of 360°
We will calculate this angle as = \(\frac{360}{360}\)
= 1
Thus, 1 complete rotation is done around the circle moving counterclockwise from the positive side of the x-axis.
Therefore,
The given statement is TRUE
If an angle is counterclockwise then the angle is said to be positive.
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What is the exponential of 1?
Answers
Exponential of 1 is equal to the number itself which means 1.
Exponent is usually described as the method of demonstrating large numbers in terms of powers. It means, exponent refers to the count, that how many times a number is multiplied to itself to calculate that exponent.
In accordance with the exponent rule, any number raised to power of 1 would always be equal to 1 that is because it doesn't matter how many times we multiply 1 to itself. It is going to yield 1. For example, multiplying 1 hundred times i.e. 1^100 also results in 1.
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In Exercises 35-40, find the partial derivative of the functiva respect to each variable. (35) f(t, a) = cos (2mTt - a)
Answers
The partial derivatives of the function f(t, a) = cos(2mTt - a) with respect to each variable are as follows:
∂f/∂t = -2mT sin(2mTt - a)
∂f/∂a = sin(2mTt - a)
To compute these partial derivatives, we use the chain rule of differentiation. The chain rule states that if we have a function g(h(x)), then the derivative of g with respect to x is given by g'(h(x)) multiplied by h'(x). In our case, the function g is the cosine function and the argument h is 2mTt - a.
To find the partial derivative with respect to t, we consider t as the independent variable and treat a as a constant. We differentiate the function with respect to t while keeping a constant, and we multiply the result by the derivative of the inner function, which is 2mT.
∂f/∂t = -sin(2mTt - a) * (2mT) = -2mT sin(2mTt - a)
Similarly, to find the partial derivative with respect to a, we differentiate the function with respect to a while keeping t constant. The derivative of the inner function, 2mTt - a, with respect to a is -1.
∂f/∂a = -sin(2mTt - a) * (-1) = sin(2mTt - a)
So, the partial derivative of f(t, a) with respect to t is -2mT sin(2mTt - a), and the partial derivative with respect to a is sin(2mTt - a).
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Each week you collect 20 cards. Your friend collects 12 cards each week. How many cards does your friend have if you have 240 cards?
Answers
If you have 240 cards and collect 20 cards per week, you have 96 cards after 8 weeks and your freind have 240 cards in 7.5 weeks.
First, we need to find the total number of cards collected per week by both you and your friend
Total cards collected per week = your cards + friend's cards
Total cards collected per week = 20 + 12
Total cards collected per week = 32
Now, we can find the number of weeks it would take for your friend to collect 240 cards
240 cards ÷ 32 cards per week = 7.5 weeks
Since we cannot have a fractional number of cards, we need to round up to the nearest whole number of weeks. Therefore, it would take your friend 8 weeks to collect 240 cards.
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This manufacturing specification is for a metal part that comes in a shelving kit. Part SH-C0524 comes in two sizes, and the acceptable size for each measurement is shown on the diagram and in the table. The inspection log shows the measurement of six parts the manufacturer has produced. Which measurement for SH-C0524-B 250 is out of range?
please help
Answers
The measurement for SH-C0524-B 250 that is out of range is given as follows:
A. V.
How to obtain the out of range measurement?From the table given by the third image at the end of the answer, the measurements of SH-C0524-B 250 are given by:
V = 1.07.W = 0.89X = 0.81.Y = 1.48.Z = 2.The ranges for each variable, from the second image, are given as follows:
V: Between 0.95 and 1.05 -> V = 1.07 is out of range.W: Between 0.89 and 0.91 -> 0.89 is in the range.X: Between 0.79 and 0.81 -> 0.79 is in the range.Y: Between 1.45 and 1.55 -> 1.48 is in the range.Z: Between 1.95 and 2.05 -> 2 is in the range.Hence measurement V is out of range, as the range of acceptable values is between 0.95 and 1.05, and option A is correct.
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PLEASE HELP!
click pic above for question
Answers
How many liters are there in 70 quarts?
1 qt≈0.95 L
65.1 L
66.5 L
70.1 L
73.7 L
Answers
answer: B
Step-by-step explanation: I Took the k12 quiz. please give a good rating.
Answer:665L
B
Step-by-step explanation:
explain how to factorise i,j and n
Answers
Explanation:
I).
(x+5)^2 - 16 = 0
It’s in a form of: a^2 - b^2 = (a-b)(a+b)
(x + 5)^2 - 4^2 = 0
(x + 5 - 4)(x + 5 + 4) = 0
(x + 1)(x + 9) = 0
J.
(x - 4)^2 - 9 = 0
Same form: a^2 - b^2 = (a-b)(a+b)
(x - 4)^2 - 3^2 = 0
(x - 4 - 3)(x - 4 + 3) = 0
(x - 7)(x - 1) = 0
n).
(2y + 7)^2 - y^2 = 0
(2y + 7 - y)(2y + 7 + y) = 0
(y + 7)(3y + 7) = 0
Answer:
see explanation
Step-by-step explanation:
A difference of squares is factored in general as
a² - b² = (a - b)(a + b)
(i)
(x + 5)² - 16 ← is a difference of squares, that is
(x + 5)² - 4²
= (x + 5 - 4)(x + 5 + 4)
= (x + 1)(x + 9)
(j)
(x - 4)² - 9 ← is a difference of squares, that is
(x - 4)² - 3²
= (x - 4 - 3)(x - 4 + 3)
= (x - 7)(x - 1)
(n)
(2y + 7)² - y² ← is a difference of squares
= (2y + 7 - y)(2y + 7 + y)
=(y + 7)(3y + 7)
Consider a 1-D harmonic oscillator and a trial wavefunction of the form ψ(x)=A/(x^2 + α^(2)), [20] where A is the normalization constant and α is an adjustable parameter. (a) Determine A. [3] (b) Estimate the ground-state energy of the harmonic oscillator. [12] (c) Check whether ⟨H⟩ overestimates or underestimates the solution you obtained in 3(b), and hence describe the validity of the variational principle in this case. [5]
Answers
a.we get, `A = √(2α³/π)`.
b.`⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.
c.we can say that the variational principle is valid in this case.
(a) Let's find the normalization constant A.
We know that the integral over all space of the absolute square of the wave function is equal to 1, which is the requirement for normalization. `∫⟨ψ|ψ⟩dx= 1`
Hence, using the given trial wavefunction, we get, `∫⟨ψ|ψ⟩dx = ∫ |A/(x^2+α²)|²dx= A² ∫ dx / (x²+α²)²`
Using a substitution `x = α tan θ`, we get, `dx = α sec² θ dθ`
Substituting these in the above integral, we get, `A² ∫ dθ/α² sec^4 θ = A²/(α³) ∫ cos^4 θ dθ`
Using the identity, `cos² θ = (1 + cos2θ)/2`twice, we can write,
`A²/(α³) ∫ (1 + cos2θ)²/16 d(2θ) = A²/(α³) [θ/8 + sin 2θ/32 + (1/4)sin4θ/16]`
We need to evaluate this between `0` and `π/2`. Hence, `θ = 0` and `θ = π/2` limits.
Using these limits, we get,`⟨ψ|ψ⟩ = A²/(α³) [π/16 + (1/8)] = 1`
Therefore, we get, `A = √(2α³/π)`.
Hence, we can now write the wavefunction as `ψ(x) = √(2α³/π)/(x²+α²)`.
(b) Using the wave function found in part (a), we can now determine the expectation value of energy using the time-independent Schrödinger equation, `Hψ = Eψ`. We can write, `H = (p²/2m) + (1/2)mω²x²`.
The first term represents the kinetic energy of the particle and the second term represents the potential energy.
We can write the first term in terms of the momentum operator `p`.We know that `p = -ih(∂/∂x)`Hence, we get, `p² = -h²(∂²/∂x²)`Using this, we can now write, `H = -(h²/2m) (∂²/∂x²) + (1/2)mω²x²`
The expectation value of energy can be obtained by taking the integral, `⟨H⟩ = ⟨ψ|H|ψ⟩ = ∫ψ* H ψ dx`Plugging in the expressions for `H` and `ψ`, we get, `⟨H⟩ = - (h²/2m) ∫ψ*(∂²/∂x²)ψ dx + (1/2)mω² ∫ ψ* x² ψ dx`Evaluating these two integrals, we get, `⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.
(c) Since we have an approximate ground state wavefunction, we can expect that the expectation value of energy ⟨H⟩ should be greater than the true ground state energy.
Hence, the value obtained in part (b) should be greater than the true ground state energy obtained by solving the Schrödinger equation exactly.
Therefore, we can say that the variational principle is valid in this case.
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Hi I really need your help for math if some help it will be supper cool you can check the fill below
Answers
Answer: Sorry mate, but there is nothing to answer.
Step-by-step explanation:
Answer:
But u didnt asked any question?
Given the unit circle what is the value of x
Answers
Given:
\((x,\frac{3}{4})\text{ and (1,0) points lies on the circle.}\)Equation of circle is
\(x^2+y^2=r^2\)\(\begin{gathered} x^2+(\frac{3}{4})^2=1^2 \\ x^2+\frac{9}{16}=1 \\ x^2=1-\frac{9}{16} \\ x^2=\frac{16-9}{16} \\ x^2=\frac{7}{16} \\ x=-\frac{\sqrt[]{7}}{4} \end{gathered}\)
The diameter of a circle is 22 miles. What is the circle's circumference?
Answers
Answer:
69.12
Step-by-step explanation:
Find -3- (-5).
The difference is ?
Answers
Answer:
Step-by-step explanation:
-3 + 5 = 2
Solve for s.
2/3s + 5/6s=21
Enter the answer, as a whole number or as a fraction in simplest form, in the box.
s =
Answers
s = 14
Step-by-step explanation:
2/3s + 5/6s = 21
3/2s = 21
s = 21/1.5
s = 14
Answer:s=14
Step-by-step explanation:
A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle.
Which equation gives the measure of the central angle, q?
9
75
O
O e-7+5
O9-7-5
Answers
Answer:
\(x=\frac{7}{5}\)
Step-by-step explanation:
Using degrees, the formula for arc length is \(s= r\theta\), where s is the arc length, r is the radius, and θ is the central angle of the arc in radians.
As we have the length of the arc and we are looking for the central angle, we make θ the unknown and solve for it:
\(7=5x\)
We simply divide 5 into both sides to conclude that,
\(x=\frac{7}{5}\)
A right triangle has sides of length 3, 4, and x.
Part 2) Find x if it is one of the legs.
Answers
Step-by-step explanation:
Using Pythagorean Theorem
hypotenuse^2 = leg1^2 + leg2^2
4^2 = 3^2 + x^2
4^2 - 3^2 = x^2
7 = x^2
x = sqrt (7)
What is the area of the polygon in square units?
Answers
Answer:
80 square units
Step-by-step explanation:
There are several ways to find the area of this figure.
a. trapezoid less triangleIf we draw a vertical line at x=4, it will complete the bounding outline of the figure, creating a trapezoid. The left-side "base" is 4-(-8) = 12 units long, and the right-side "base" is 4 -2 = 2 units long. The "height" is the difference in x-coordinates of the vertical bases, so is 4 -(-8) = 12 units.
The area of the trapezoid is then ...
A = 1/2(b1 +b2)h
A = 1/2(12 +2)(12) = 84 . . . square units
__
The actual figure has a smaller area by the amount of the triangle cut from the upper right. That triangle has a base of 4-0 = 4 units, and a height of 4-2 = 2 units. Its area is ...
A = 1/2bh
A = 1/2(4)(2) = 4 . . . square units
Then the figure area of interest is the difference of the trapezoid area and the cut-out triangle area:
A = 84 -4 = 80 . . . square units.
__
b. trapezoid plus triangleIf the short horizontal line is extended across the figure, it divides the figure into a trapezoid above the line and a triangle below the line. The upper trapezoid is 2 units high, and has bases 8 and 12. Its area is ...
A = 1/2(b1 +b2)h = 1/2(8 +12)(2) = 20 . . . square units
The triangle has a (horizontal) base of 12 units and a height of 10 units. Its area is ...
A = 1/2bh = 1/2(12)(10) = 60 . . . square units
The area of the figure is the sum of these areas:
A = 20 +60 = 80 . . . square units
Charity can make 36 cupcake in 45 minutes. If she continues at this rate, how many cupcakes can she make in 8 hours?
a. 280 cupcakes b. 384 cupcakes c. 360 cupcakes d. 300 cupcakes
Answers
The total number of cupcakes charity can make in 8 hours is 384
The total number of cupcakes she can make in 45 minutes is 36
Cupcakes she can make in 1 minute = 36/45
Cupcakes she can make in 1 minute = 0.8
Cupcakes she can make in 8 hours
We will convert hours into minutes
1 hour = 60 min
8 hour = 8 × 60 min
8 hour = 480 min
Cupcakes she can make in 8 hours that is 480 min = 480 × 0.8
Cupcakes she can make in 8 hours = 384
Total number of cupcakes she can make is 384
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The odds against the horse Bucksnot winning the race are 2:3. What is the probability that Bucksnot will win the race
Answers
The odds against Bucks not winning the race are 2:3, so the probability of Bucks not winning is 0.4 or 40%. This means that for every 10 races, Bucks not is expected to win 4 times, while losing 6 times.
In the given scenario, the odds against the horse Bucks not winning the race are 2:3. To calculate the probability that Bucks not will win the race, we can use the following formula: Probability of an event happening = Number of ways an event can happen / Total number of possible outcomes. In this formula, we can consider the total number of outcomes to be 2 + 3, since these are the only possible outcomes in this situation (either the horse wins or it doesn't). Therefore, the total number of possible outcomes is 5. We can also infer from the given information that the number of ways Bucks not can win is 2. Therefore, the probability of Bucks not winning the race is: Probability of Bucks not winning = Number of ways Bucks not can win / Total number of possible outcomes= 2 / 5= 0.4 or 40%Therefore, the probability that Bucks not will win the race is 0.4 or 40%. This means that for every 10 races, Bucks not is expected to win 4 times, while losing 6 times.
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Write an equation for the line in slope-intercept form
ASAP PLEASE
Answers
Answer:
8x+2=y
I hope this helps:)
the slope is 4/1=4
-using rise/run
the y-intercept is (0,2)
-by looking at the graph
Hope this helps! :)
Timme had to pay $165 for an art cla on the firt day of chool thi year,which wa 10% more than he had to pay on the firt day of chool lat year. How much did gimme pay on the firt day of chool lat year?
Answers
Timme's first day of school payment last year was $149.50, which was 10 percentage less than his first day of payment this year.
Timme had to pay $165 on the first day of school this year, 10% more than he had to on the first day of school the previous year. We must first determine the 10% difference between this year's amount and last year's amount in order to determine the sum he paid last year. 10% of $165 is $16.50. The amount he paid last year can then be calculated by deducting the 10% difference, or $16.50, from this year's cost of $165. $165 - $16.50 = $149.50. Timme therefore made a $149.50 payment on the first day of classes last year. He paid this amount on the first day of school this year, therefore it is 10% less now.
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Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?
Answers
Answer:
0.45
Step-by-step explanation:
You divided 2.25 by 5
hence, you divide 2.25 by 5.
Find the mean, median, and mode of 12, 9, 17, 15, 10
Answers
Answer:
Mean: 12.6
Median: 12
Mode: 9, 10, 12, 15, 17
Step-by-step explanation:
Mean: To find the mean you have to add up all your terms and divide your result by the number of terms you have. ((12+9+17+15+10) / 5)
Median: To find the median you have to organize your terms from least to greatest and then find your center term. (12)
Mode: Normally to find your mode would be to organize your terms from least to greatest and see which of your terms occurs the most. In this case all terms occur only once, making all your terms the mode.
Amazing gifts received 48 orders in 3 minutes how many orders per minute
Answers
Answer:
16
Step-by-step explanation:
48/3 = 16 <- Per minute
A pizza restaurant has 63 and 2/3 cups of flour. Each batch of pizza dough uses 5 and 1/4 cups of flour. About how many batches of pizzas will they be able to make.
Answers
Answer:
12
Step-by-step explanation:
find the 12th term of the geometric sequence 5,20,80
Answers
Answer:
20971520
Step-by-step explanation:
Thank me later
At the city museum, child admission is $5.20 and adult admission is $9.10 . On Wednesday, twice as many adult tickets as child tickets were sold, for a total sales of $631.80. How many child tickets were sold that day?
Answers
Answer:
54 adult tickets and 27 child ticket
54×9.10+5.20×27=631.80
419.4+104.4=631.80
631.80=631.80 ( so it's the answer)
Is the value of the expression greater than 1, equal to 1, or less than 1?
(12/64)^0
Answers
Answer:
The value of the expression \((12/64)^{0}\) is equal to 1
Step-by-step explanation:
You can get this answer two ways:
1. Simply plug in \((12/64)^{0}\) into your calculator exactly as it appears. You will get one, so therefore, the expression is equal to 1.
2. If you know your exponent rules, you'll know that anything to the power of 0 equals 1, so no matter the value in the parentheses, the answer will be equal to 1.
Hope this helps!
below the paraboloid z = 18 − 2x2 − 2y2 and above the xy-plane
Answers
Answer:
y
2
=−
2
z
+7
Steps for Solving Linear Equation
z=18−2×2−2y2
Multiply 2 and 2 to get 4.
z=18−4−2y
2
Subtract 4 from 18 to get 14.
z=14−2y
2
Swap sides so that all variable terms are on the left hand side.
14−2y
2
=z
Subtract 14 from both sides.
−2y
2
=z−14
Divide both sides by −2.
−2
−2y
2
=
−2
z−14
Dividing by −2 undoes the multiplication by −2.
y
2
=
−2
z−14
Divide z−14 by −2.
y
2
=−
2
z
+7
Step-by-step explanation:
the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.
we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.
Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.
the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.
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