Find the probability using the normal distribution: P(0 P(0
Answers
The probabilities are:
P(0 < z < 1.96) = 0.4750
P(-1.23 < z < 0) = 0.3907
P(z > 0.82) = 0.2061
P(z < -1.77) = 0.0384
P(-0.20 < z < 1.56) = 0.5199
P(1.12 < z < 1.43) =0.0550
P(z > -1.43) = 0.9236
To locate the chances of the usage of the same old ordinary distribution, we will use a well-known normal desk or a calculator. Here are the calculations for the given possibilities:
P(0 < z < 1.96):
Using the standard everyday desk, the place to the left of one.Ninety-six is 0.9750, and the vicinity to the left of zero is 0.5000. Therefore, the chance between zero and 1.96 is:
P(0 < z < 1.96) = 0.9750 - 0.5000 = 0.4750
P(-1.23 < z < 0):
Using the usual ordinary table, the vicinity to the left of -1.23 is 0.1093, and the area to the left of zero is zero.5000. Therefore, the possibility between -1.23 and 0 is:
P(-1.23 < z < 0) = 0.5000 - 0.1093 = 0.3907
P(z > 0.82):
Using the standard everyday table, the region to the left of zero.82 is zero.7939. Therefore, the possibility of z being extra than 0.82 is:
P(z > 0.82) = 1 - 0.7939 = 0.2061
P(z < -1.77):
Using the same old regular desk, the vicinity to the left of -1.Seventy-seven is zero.0384. Therefore, the chance of z being much less than -1.77 is:
P(z < -1.77) = 0.0384
P(-zero.20 < z < 1.56):
Using the standard ordinary desk, the area to the left of -0.20 is 0.4207, and the area to the left of 1.56 is 0.9406. Therefore, the opportunity between -0.20 and 1. Fifty-six is:
P(-0.20 < z < 1.56) = 0.9406 - 0.4207 = 0.5199
P(1.12 < z < 1.43):
Using the standard regular desk, the place to the left of 1.12 is 0.8686, and the location to the left of one. Forty-three is zero.9236. Therefore, the opportunity between 1.12 and 1. Forty-three is:
P(1.12 < z < 1.43) = 0.9236 - 0.8686 = 0.0550
P(z > -1.43):
Using the same old normal desk, the location to the left of -1.43 is zero.0764. Therefore, the possibility of z being greater than -1. Forty-three is:
P(z > -1.43) = 1 - 0.0764 = 0.9236
Please word that the chances are rounded to 4 decimal locations for clarity.
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The correct question is:
"Find the probability using the standard normal distribution. P(0 < z <1.96), P(-1.23 < z < 0), P(z > 0.82), P(z < -1.77), P(-0.20 < z < 1.56), P(1.12 < z < 1.43), P(z > -1.43)"
Related Questions
If x. 5x and 6x are the measures of the
angles of a triangle, find x. Is the triangle
acute, right or obtuse?
Answers
Answer:
x=15 and acute
Step-by-step explanation:
The results of a paired-difference test are shown below to the right. d = 5.6
a. Construct and interpret a 99% confidence interval estimate for the paired difference Sd =0.25 in mean values.
b. Construct and interpret a 90% confidence interval estimate for the paired difference n=16 in mean values_ (Round to two decimal places as needed:) Choose the correct answer below:
OA This interval will contain the true population mean 90% of the time_
OB. There is a 90% chance that the true population mean is contained in the interval.
Oc: If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean: 0
D. Approximately 90% of the differences will be contained in the interval.
Answers
If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.
When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.
This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.
The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.
In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.
It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.
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x-y = 3
work out the value of 5(x-y)
Answers
=======================================
Work Shown:
x-y = 3
5(x-y) = 5*3 .... multiply both sides by 5
5(x-y) = 15
The combined perimeter of an equilateral triangle and square is 13.
Find the dimensions of the triangle and square that produce a minimum total area.
The measurement of square on each side
The measurement of triangle on each side
Find the dimensions of the triangle and square that produce a maximum total area.
The measusrement of square on each side
The measurement of triangle on each side
Answers
To minimize the total area of an equilateral triangle and square, the side length of the square should be 2.167 and the side length of the triangle should be 3.833.
To find the dimensions that minimize the total area, we can set up equations based on the given information. Let's denote the side length of the square as 's' and the side length of the equilateral triangle as 't'. The perimeter of the square is 4s, and the perimeter of the equilateral triangle is 3t. Given that the combined perimeter is 13, we have the equation 4s + 3t = 13.
To minimize the total area, we need to consider the formulas for the areas of the square and equilateral triangle. The area of the square is given by A_square = \(s^2\), and the area of the equilateral triangle is given by A_triangle = (\(\sqrt{(3)}\)/4) *\(t^2\).
To find the values that minimize the total area, we can substitute s = (13 - 3t)/4 into the equation for A_square and solve for t. By finding the derivative of the total area with respect to t and setting it equal to zero, we can find the value of t that minimizes the area.
Similarly, to find the dimensions that maximize the total area, we follow the same process but this time maximize the total area by finding the value of t that maximizes the area.
Performing the calculations, we find that to minimize the total area, the side length of the square is approximately 2.167 and the side length of the triangle is approximately 3.833. To maximize the total area, the side length of the square is approximately 4.333 and the side length of the triangle is approximately 1.667.
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reid took seven tests. on the first five tests that he took, he averaged $86$ points. on the last three tests, he averaged $95$ points. if he averaged $88$ points on all seven tests, how many points did he average on the last two tests?
Answers
The points that he average on the last two tests will be 93 points.
What is mean?A mean is the average of the set of numbers that are given.
On the first five tests that he took, he averaged 86 points. The total points will be:
= 86 × 5
= 430 points
He averaged 88 points on all seven tests. The total will be:
= (88 × 7)
= 616 points
The point average on the last two tests will be:
= (616 - 430)/2
= 186/2
= 93 points
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5. using the counting principle, determine the number of outcomes for a three-color spinner that is
spun four times in a row.
Answers
By spinning the spinner four times in a row, we can find the total number of outcomes by multiplying 3 × 3 × 3 × 3, which equals 81 outcomes.
Using the counting principle, the number of outcomes for a three-color spinner spun four times in a row can be determined by multiplying the number of outcomes for each spin together.
Since the spinner has three colors, there are three possible outcomes for each spin. Therefore, the total number of outcomes for spinning the spinner four times in a row is:
3 × 3 × 3 × 3 = 81 outcomes.
The counting principle states that to determine the number of outcomes for multiple events, you multiply the number of outcomes for each event together. In this case, the spinner has three colors, so there are three possible outcomes for each spin.
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A wave on a string can be represented by the equation:
y(x,t)=Asin(kx−ωt)y(x,t)=Asin(kx−ωt)
Where: A = 0.04 m, k = 5 m-1, and ω = 6 s-1.
1)
What is the speed of the propagation of the wave?
a) 125 m/s
b) 0.008 m/s
c) 1.2 m/s
d) 0.833 m/s
e) 150 m/s
f) 0.00667 m/s
2)
What is the direction of propagation of the wave?
a) +x
b) -x
c) +y
d) -y
e) +z
f) -z
3)
What is the amplitude of the wave?
a) 6 m
b) 5 m
c) 0.04 m
d) 0.008 m
e) 0.00667 m
4)
In what direction does any small piece of the string move?
a) the x-direction
b) the y-direction
c) the z-direction
5)
What is the maximum speed of any small piece of the string?
a) 0.04 m/s
b) 0.24 m/s
c) 0.00667 m/s
d) 0.008 m/s
e) 0.2 m/s
Answers
The speed of the propagation of a wave on a string is given by the equation v = ω/k, where v is the speed, ω is the angular frequency, and k is the wave number.
In this case, ω = 6 s^(-1) and k = 5 m^(-1), so the speed of the wave can be calculated as v = 6 s^(-1) / 5 m^(-1) = 1.2 m/s. Therefore, the correct option is c) 1.2 m/s. The direction of propagation of the wave is determined by the sign of the coefficient of the variable x in the equation. In this case, the coefficient is positive (+kx), indicating that the wave is traveling in the positive x-direction. Therefore, the correct option is a) +x. The amplitude of the wave is represented by the coefficient A in the equation. In this case, A = 0.04 m, so the amplitude of the wave is 0.04 m. Therefore, the correct option is c) 0.04 m.
Any small piece of the string moves perpendicular to the direction of propagation of the wave. In this case, the wave equation is given in terms of the variable y(x, t), which represents the displacement of the string in the y-direction at a given position x and time t. Therefore, the correct option is b) the y-direction. The maximum speed of any small piece of the string occurs when the displacement is at its maximum, which is equal to the amplitude of the wave. In this case, the amplitude A = 0.04 m. The speed of the small piece of the string is given by the derivative of the displacement equation with respect to time, which is v = d/dt (Asin(kx - ωt)). Taking the derivative, we get v = -Aωcos(kx - ωt). The maximum value of the cosine function is 1, so the maximum speed is |v| = Aω = 0.04 m * 6 s^(-1) = 0.24 m/s. Therefore, the correct option is b) 0.24 m/s.
In summary, the answers are:
c) 1.2 m/s
a) +x
c) 0.04 m
b) the y-direction
b) 0.24 m/s
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You have a rectangular backyard that is 90 feet wide. It has an area of 10,800 square feet. You areputting a fence along one length of the yard.The length of the backyard is 120 feet.The fence costs $12.50 per linear foot. What is the total cost of the fence for one length of the yard?
Answers
The total cost of the fence for one length of the yard is $1500
Explanation:Let the length and width of the rectangle be x and y respectively.
y = 90 ft
Area of a rectangle is:
A = xy
90x = 10800
x = 10800/90 = 120 ft
The fence cost $12.50 per linear foot
One length of the yard is:
\(120\times12.5=1500\)The total cost of the fence for one length of the yard is $1500
i will give u brainliest
Answers
Answer:
15.9
Step-by-step explanation:
|5x|=3
this is absolute value of five x equals three
Answers
The value of the modulus function |5x| = 3 is x = 3/5 or x = -3/5.
What is a modulus function ?In mathematics modulus function is the absolute or numerical value of the function irrespective of the sign.It represents magnitude.We modulus functions when we want length, mass and for other variables when we want to represent their weight.
According to the given question |5x| = 3.
We know |x| = a implies x = a or x = -a.
∴ |5x| = 3 is
5x = 3
x = 3/5
Or
5x = -3.
x = -3/5.
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What is the coefficient of the term 5/3xy ?
A). 5xy
B). 1/3
C). 5/3
D).5
Answers
Answer:
5/3
Step-by-step explanation:
The coefficient is the number that the variable (x) is apart of.
the answer is C) 5/3.
Write the expression to complete the equation for the function, represented by the graph shown below.
y=
Answers
The piecewise function that represent the given graph function is f(x) = x + 2 when x∈ ( -∞. -5] and f(x) = -x - 8 when x∈ [ -5, ∞).
What is a function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The graph is increasing in the interval (-∞, -5] and the graph is decreasing in the interval [-5, ∞).
Thus the give function is a piecewise function.
The decreasing line passes through the points (-5,-3) and (-6,-4).
The equation of line that is passes through the points (x₁, y₁) and (x₂, y₂) is y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁).
y - (-3) = [(-4 - (-3))/(-6 - (-5))](x - (-5))
y + 3 = 1(x +5 )
y = x + 2
The increasing line passes through the points (-5,-3) and (-4,-4).
The equation of line that is passes through the points (x₁, y₁) and (x₂, y₂) is y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁).
y - (-3) = [(-4 - (-3))/(-4 - (-5))](x - (-5))
y + 3 = -1(x +5 )
y = -x - 8
The piecewise function is
f(x) = x + 2 when x∈ ( -∞. -5] and f(x) = -x - 8 when x∈ [ -5, ∞)
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a statistical relationship between two variables is considered statistically significant if it is stronger than what percent of relationships we'd expect to see by chance.
Answers
The statistical relationship between two variables is stronger than 95% of the relationships we would expect to see just by chance.
Statistical relationship:
Statistical relationship defines that if a change in one variable (X) results in a systematic increase in another (Y).
Given,
A statistical relationship between two variables is considered statistically significant.
Here we need to find if it is stronger than what percent of relationships we'd expect to see by chance.
While we looking into the given question we know that the statistical relationship is stronger then the percent of relationships we'd expect to see by chance is 95%.
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Which One Doesn't Belong?
A
B
C
y = -2.5x7.5
1. Give a reason why A does not
belong with the others:
2. Give a reason why B does not
belong with the others:
3. Give a reason why C does not
belong with the others:
D
Answers
Answer: C
Step-by-step explanation: because d is different from the others by default
Estimate the quotient of 35 ÷ 0.7.
3.5
5
50
70
Answers
Answer:
your answer would be 50.
Step-by-step explanation:
Answer: 3.5
Step-by-step explanation: 0.7 rounds to 10, and 35 divided by 10 is 3.5
Given the function f(x)=2x 6, find the net signed area between f(x) and the x-axis over the interval [−8,6]. do not include any units in your answer.
Answers
To find the net signed area between the function f(x) = 2x + 6 and the x-axis over the interval [-8, 6], we need to calculate the definite integral of f(x) from -8 to 6.
The signed area refers to the area above the x-axis being positive and the area below the x-axis being negative.
Using the power rule of integration, we can integrate the function as follows:
∫[-8,6] 2x + 6 dx = [x^2 + 6x] from -8 to 6
Plugging in the upper and lower limits of integration, we get:
[6^2 + 6(6)] - [(-8)^2 + 6(-8)] = 72 + 84 = 156
Therefore, the net signed area between f(x) and the x-axis over the interval [-8, 6] is 156, without any units.
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Find the slope and y-intercept for the graph of the equation: 9x - 3y = 81
Answers
the slope of the graph is 3 and the y-intercept is -27. This means that the graph crosses the y-axis at the point (0,-27).
Answer:
y = -3x - 27
Step-by-step explanation:
9x - 3y = 81
-3y = 9x + 81
-3y/3 = 9x/3 + 81/3
-y = 3x + 27
y = -3x - 27
simplify −3x^3(−2x^2+4x−3)
Answers
Answer:
Step-by-step explanation:
6x^5 - 12x^4 + 9x^3
(-3x^3*(-2x^2) - 3x^3(4x) - 3x^3(-3)
Which of the following equations shows how to correctly calculate the volume, V, in cubic centimeters, of the prism below?
A.V = (9)(12) × 18
B.V = × 9
C.V = × 12
D.V = × 18
Answers
Answer:
A
Step-by-step explanation:
what is the answer for this question
(0-1)(0+1)
Answers
Answer:
Step-by-step explanation:
-1
David has a wooden board that is 6 feet long. how many pieces can be cut from the board if the length of each piece is 1/3 of a foot
Answers
total length = 6 ft
length of the piece = 1/3
\(\text{Number of pieces = 6 / }\frac{1}{3}\text{ = }\frac{\frac{6}{1}}{\frac{1}{3}}\text{ = }\frac{6x\text{ 3}}{1\text{ x 1}}=\text{ }\frac{18}{1}\text{ = 18}\)There will be 18 pieces
what do you add to 4 5/8 to make 6
Answers
Answer: 1 3/8
Step-by-step explanation:
6 - 4 5/8 = 1 3/8
Since you are missing a part to the sum, you use subtraction to find the missing part.
Six times a number minus four is two times a number more than four
Answers
Answer:
2x(6x-4)
Six times a number minus four is two times a number more than four
Another weird looking question. Someone help please
Answers
The measure of the angle m∠CBD between points CD is equal to 495°°
How to evaluate for the angle m∠CBDFrom the question, we observe that the larger angle between AD consists of the two angles between m∠ABC and m∠CBD, so we shall sum the two small angles and equate the result to the larger angle m∠ABD to solve for the value of x as follows:
7x - 9 + 6x + 27 = 96
x + 18 = 96
x = 96 - 18 {collect like terms}
x = 78
put the value of x in m∠CBD;
m∠CBD = 6(78) + 27
m∠CBD = 495
In conclusion, the measure of the angle m∠CBD between points CD is equal to 495°
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What is the difference between congruent and equal to
Answers
Answer:
1st answer choice
Step-by-step explanation:
a new program to lower high school drop-out rates reports that they have succeeded in lowering the dropout rate in a local school district and that the p-value is 0.003. which of the following is false? group of answer choices there is a 0.3% chance that the null hypothesis (that the new program is not effective) is true. if the researchers use a 5% significance level, they would conclude that the program was effective. if the program does not work, the test statistic that the researchers observed was so rare that values that extreme or more extreme occur only 0.3% of the time. if the researchers use a significance level of 1%, they would conclude that the program was effective.
Answers
The false statement is: "The researchers would come to the conclusion that the programme was successful if they used a significance level of 1%."
What is significance level?
A significance level, denoted by α, is the threshold chosen by researchers to determine the level of evidence required to reject the null hypothesis. It represents the maximum acceptable probability of making a Type I error (incorrectly rejecting the null hypothesis when it is true).
In this case, the given p-value is 0.003. If the null hypothesis is true, the p-value represents the likelihood of obtaining a test statistic that is equally extreme to or more extreme than the one that was observed. It offers proof that the null hypothesis is false.
We can conclude that there is strong evidence to reject the null hypothesis in favour of the alternative hypothesis because the p-value is 0.003, which is lower than any often used significance level like 0.05 or 0.01. Thus, if the researchers apply a 5% level of significance, they would draw the conclusion that the programme was successful.
However, if the researchers use a significance level of 1%, they would require even stronger evidence to reject the null hypothesis. Since the p-value of 0.003 is greater than 0.01, they would not be able to reject the null hypothesis at the 1% significance level and would not conclude that the program was effective.
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if there's a how and a guy picks her up who's getting abused
Answers
Really easy, Really need help!
Answers
Answer:
I don't see what the question is
Bill is replacing a wornout cable to his power table saw what type of cable is he most likely using
Answers
Bill is most likely using a power tool cord or an extension cord designed for power tools.
When replacing a worn-out cable for a power table saw, it is important to use a cable that is specifically designed for power tools. These cables, often called "extension cords" or "power tool cords," are built to handle the high electrical currents required by power tools such as table saws. They are constructed with durable insulation and conductors that can withstand the demands of power tools. These cords are also designed to be flexible, allowing for easy movement and maneuverability while operating the tool. They may also include grounding features to enhance safety. Therefore, it is reasonable to assume that Bill would choose a power tool cord or an extension cord suitable for powering his table saw.
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6.2.9 Check Your Understanding
The University of Florida has a surf club. Assuming it has 11 females and 12 males and h represents the
height of a team member, the inequality, 300 < 5.25h-15 ≤ 368.25, represents the range of heights of
the surfers, in inches.
Select all possible heights for the University of Florida's Surf Club.
Answers
The possible heights of the students in the surf club will be -
73 inches ≥ h > 60 inches
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is the University of Florida that has a surf club. It has 11 females and 12 males and [h] represents the height of a team member.
The given inequality is -
300 < 5.25h - 15 ≤ 368.25
So, we can write -
5.25h - 15 > 300
5.25h > 315
h > (315/5.25)
h > 60 inches
and
5.25h - 15 ≤ 368.25
5.25h ≤ 368.25 + 15
5.25h ≤ 383.25
h ≤ 73 inches
So, we can write the range as -
73 inches ≥ h > 60 inches.
Therefore, the height range of the students in the surf club will be between 73 inches ≥ h > 60 inches.
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