For a standard normal distribution, find:
P(Z > c) = 0.8292
Find c rounded to two decimal places.
Answers
Using the normal distribution, looking at the z-table, it is found that the value of c is of c = -0.95.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For the standard normal distribution, we have that P(Z > c) = 0.8292 for c that has a p-value of 1 - 0.8292 = 0.1708, hence the value is of c = -0.95.
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Related Questions
Solve for x if a≠0, a≠3:
3-a/x-a=1/a
(a picture will be provided as well)
Answers
Answer:
x=4a-a^2
Step-by-step explanation:
............................
take the van der pol equation . (a) set and . convert the above second order differential equation to a two dimensional system of differential equations:
Answers
The van der Pol equation which is a second-order differential equation is given by
d²x/dt² - μ(1 - x²)dx/dt + x = 0
Here we are asked to convert it to a two-dimensional system.
Here we need to set y = dx/dt, where y represents the system's velocity.
Hence we will rewrite it as
d²x/dt² = μ(1 - x²)y + x
Now if we set the derivatives of x and y with respect to time to be equal to different variables we get
dx/dt = y
dy/dt = μ(1 - x²)y + x
Hence we get the above systems of equations as the 2-dimensional representation of the Van der Pol equation where x and y represent the system's position and velocity respectively.
If we set μ = 1 and x = 0, then we get
dx/dt = y
dy/dt = y
Hence we get the system of differential equations representing the behavior of the van der Pol equation with μ = 1 and x = 0 in two dimensions.
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Answer the questions below to find the total surface area of the can.
Answers
Ab=3.14xRadious to the power of 2
then to the area of the rectange you do B x H = YOUR ANSWER
CAN SOMEONE HELP PLEASE!
Answers
Answer:
None of these
Step-by-step explanation:
\(\frac{360}{n}=24 \implies n=15\)
This is called a pentadecagon.
What are characteristics of a negative correlation? Select all that apply.
Answers
3
4
Good luck :)
Did it on icev !
12 divided by 9 tenths and hundredths
Answers
Determine if it is possible to form a triangle using the set of segments with the given measurements.
4.5 in., 5.6 in, 10 in.
a) No, adding all three sides does not add up to the correct measurements.
b) No, because two sides add up to less than the third one.
c) No, because two sides add up to more than the third one.
d) Yes, because two sides add up to less than the third one.
e) Yes, because two sides add up to more than the third one.
Answers
Answer:
e) Yes, because two sides add up to more than the third one.-------------------------
Apply the Triangle Inequality Theorem.
It states that:
For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.We'll take the sum of two shortest sides and compare with the longest:
4.5 + 5.6 = 10.1 > 10It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.
The matching answer choice is e).
-Solve the equation. Write a reason for each step. 12x = 28 - 16x
Answers
1. Add 16x to both sides
We do this step because we need to eliminate the variable from the right side of the equation. There is a -16 on the right side, and in proper form, x would have to be isolated on the left side. This would look like:
12x + 16x = 28 - 16x + 16x
2. Simplify
We do this step because it makes the equation easier to solve. This would look like:
28x = 28
3. Divide both sides by 28
We do this step because we need to get x by itself on both sides. To do that, we divide by whatever number is the coefficient. This would look like:
28x / 28 = x
28 / 28 = 1
x = 1
This isn’t a required step, but we can plug 1 in for x to make sure our answer is correct:
12(1) = 28 - 16(1)
12 = 28 - 16
12 = 12
Our answer is correct.
Answer Recap: x = 1
17 The table below shows the distance a car has traveled.
50
20
f
40
Minutes
Distance
Traveled
(in miles)
What is the meaning of the slope of the linear model for the data?
60
100
a) The car travels 5 miles every minute.
b) The car travels 4 miles every minute.
c) The car travels 4 miles every 5 minutes.
d) The car travels 5 miles every 4 minutes.
125
80
100
Answers
Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.
Minutes | Distance Traveled (in miles)
50 | 20
20 | f
40 | 60
100 | a
125 | 80
100 | 100
To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:
Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.
Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.
Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.
Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.
Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.
Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:
Slope = Distance Change / Time Change
= 20 miles / 25 minutes
= 0.8 miles per minute
So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
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The radius of a circle is 7 centimeters. What is the area?
r=7 cm
Give the exact answer in simplest form.
square centimeters
开
Answers
Answer:
49开
Step-by-step explanation:
I believe it's 153.9
Question content area top
Part 1
Felix is slicing a tortilla Española (Spanish omelet) by cutting diameters through the center. He plans on cutting 1 to 8 diameters. The number of slices is a function of the number of diameters. Describe the domain and range of the function.
Answers
The function from which the number of slices can be found based on the number of diameters, can be obtained from the function, f(n) = 2·n, which indicates;
The domain = [1, 8]
The range = [2, 16]
What is the domain and range of a function?The domain is the set of the possible input of the function, while the range is the set of possible output of the function.
The number of diameters Felix plans to slice into the tortilla = 1 to 8
The number of arcs formed by a diameters of a circle = 2
The number of arcs formed by 8 diameters = 2 × 8
Therefore, the number of arcs formed by n diameters of a circle = 2·n
Each arc of the tortilla represents a slice, therefore:
The number of slices formed by n diameters = 2·n slices
The function of the number of slices Felix gets from cutting n number of diameters is; f(n) = 2·n
The domain is the possible number of inputs, which is the number of diameters, therefore;
The domain is; 1 ≤ n ≤ 8When n = 1, f(n) = f(1) = 2 × 1 = 2
When n = 8, f(8) = 2 × 8 = 16
The range is the possible number of slices obtained from the tortilla, therefore;
The range is; 2 ≤ f(n) ≤ 16Learn more about the domain and range of a function here:
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3. How many different numbers can be created by selecting 4 of the digits from the number 8712395?
Answers
840 different numbers can be created selecting 4 of the digits from the number
How many different numbers can be created selecting 4 of the digits from the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 8712395
Digits = 4
The count of digits in the number is 7
Using the above as a guide, we have the following:
First digit = any of the 7second digit = any of the remaining 6Third digit = any of the remaining 5Fourth digit = any of the remaining 4So, we have
Numbers = 7 * 6 * 5 * 4
Evaluate
Numbers = 840
Hence, 840 numbers can be formed
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. MODELING REAL LIFE You save $20 each week to
buy a smart watch that costs $229.95.
a. Describe the numbers of months you need to
save to buy the smart watch.
b. Your parents give you $50 to help you buy
the smart watch. How does this affect your
answer in part (a)? Use an inequality to justify
your answer.
Answers
After doing mathematical operations, we can conclude that it would take is 12 months to buy the smart-watch for $229.95 if we save $20 per month.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The rules that specify the order in which we should solve an expression involving multiple operations are known as the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right).I need to find AB can someone please help me ASAP :(
Answers
Answer:
AB = 11
Step-by-step explanation:
Using the external secant property,
CB*CA = CD*CL (=CT^2 if T is tangent throught C)
substitute values,
7*(7+2x+3) = 9*(9+x+1)
Expand and simplify
70+14x = 90 + 9x
5x = 20
x = 4
=>
AB = 2x+3 = 2(4)+3 = 8+2 = 11
A helicopter flies 1,500 feet over the ocean. A whale swims 150 feet below the ocean. How far apart are the helicopter and the whale?
Answers
Answer:
1000
Step-by-step explanation:
Answer: they are 1450 feet apart since all your doing is just subtracting the ammount of space between them (hope this helps) :)
ryan took 15 minutes to type his 450 - word report. At this rate, how many words could be type in 20 minutes ?
Answers
Answer:
600 words
Step-by-step explanation:
15 minutes --- 450 words
20 minutes --- \(\frac{20}{15}\) × 450 words = 600 words
At a football stadium, 10% of the fans in attendance were teenagers. If there were 230 teenagers at the football stadium, what was the total number of people at the stadium?
Answers
Answer:2300
Step-by-step explanation:
Answer:
2300
Step-by-step explanation:
we can set up a proportion:
n = not teens
.10/230 = .90/n
cross-multiply:
.10n = 207
n = 2070
now we can add the number of teenagers to get the total number of people:
2070+230 = 2300
Which rule defines the function in the graph? Two line segments on a coordinate plane that do not meet. The first segment begins at negative 3 comma negative 4, inclusive, and ends at 1 comma zero, non inclusive. The second segment begins at 2 comma 3, inclusive, and ends at 4 comma negative 3, inclusive. Group of answer choices f(x)={ x−1, if −3 ≤ x < 1 f(x)={ −3x+9, if 2 ≤ x ≤ 4 f(x)= { x−1 , if −3 < x ≤ 1 f(x)= {−3x+9 , if 2 < x < 4 f(x)={ x−1, if −3 ≤ x < 1 f(x)={ x−3, if 2 ≤ x≤ 4 f(x)={x−1, if −3 < x ≤ 1 f(x)={x−3, if 2 < x < 4
Answers
Answer:
The correct option is;
f(x) = {x - 1 if -3 ≤ x < 1 f(x) = {-3·x + 9, if 2 ≤ x ≤ 4
Step-by-step explanation:
The given coordinates of the points are;
For the first segment
Beginning point [-3, -4] (inclusive)
Endpoint (1, 0), (noninclusive)
For the second segment
Beginning point [2, 3] (inclusive)
Endpoint [4, -3] (inclusive)
The equation of the first segment is therefore;
y - 0 = (0 + 4)/(1 + 3)×(x - 1) = 1 × (x - 1)
y = x - 1
The equation of the second segment is found as follows;
y + 3 = (-3 - 3)/(4 - 2)×(x - 4) = -3 × (x - 4)
y + 3 = -3 × (x - 4) = -3·x + 12
y = -3·x + 12 - 3 = -3·x + 9
Therefore, we have;
f(x) = {x - 1 if -3 ≤ x < 1 and f(x) = {-3·x + 9, if 2 ≤ x ≤ 4
Which of the following could be the equation of the function below?
On a coordinate plane, a curve crosses the y-axis at y = negative 3. It has a maximum at y = 1 and a minimum at y = negative 3. It goes through 1 cycle at pi.
y = negative 2 cosine (4 (x + pi)) minus 1
y = 2 cosine (x + pi) + 1
y = negative 2 cosine (2 (x + pi)) minus 1
y = 2 cosine (4 (x + pi)) + 2
Answers
Answer:
y = negative 2 cosine (2 (x + pi)) minus 1
Step-by-step explanation:
The amplitude of the trig function will be half the difference of the minimum and maximum, so is ...
A = (1 -(-3))/2 = 2
The coefficient of x is 2π divided by the period, so is ...
B = (2π)/π = 2
The vertical offset is the average of the maximum and minimum:
C = (1 +(-3))/2 = -1
Since the extreme negative value is at x=0, this can be the opposite of the cosine function:
y = -A·cos(Bx) +C
The answer choices have a horizontal offset of pi, which does nothing, since the period is pi.
y = -2cos(2(x+π)) -1
Answer:
C on E2020.
Step-by-step explanation:
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
Determine the value of `w(25)`.
What does this value say about the wolf population?
Answers
Answer:
w(25) = 96
There are 96 wolves in the year 2020
Step-by-step explanation:
Given:
\(w(x)=14\cdot 1.08^{x}\)
w(25) =
\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)
Number of years : 1995 + 25 = 2020
In 2020, there are 96 wolves
Find the area of the shaded regions
Answers
Sector area
Area of whole = 51.313
Area of unshaded = 9.424
Area of shaded = 41.8886
Answer:
40π/3Step-by-step explanation:
Find the area of the bigger circle:
A = πr² = π(4 + 3)² = 49πFind the area of 120° sector AOC:
A = 120°/360°*A = 1/3*49π = 49π/3Find the area of smaller circle:
A = π(3²) = 9πFind the area of 120° sector of DOB:
A = 120°/360°*9π = 3πNow find the shaded area, the difference of areas of sectors:
49π/3 - 3π = 40π/3The canopy of a parachute is a semicircle with a radius of 13 feet. A company that is making parachutes for a Fourth of July celebration wants each parachute to be made from equal parts of red, white, and blue fabric. Approximately how much fabric of each color will be needed to make a single parachute canopy? 88.5 ft 88.5 ft² 265.5 ft 265.5 ft²
Answers
Answer: it’s 88.5 aka answer B
Step-by-step explanation:
Answer:
Your answer should be 88.5ft sq
Step-by-step explanation:
Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
Answers
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Answers
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
3 1/3(2 1/5x-4 2/3) - 5 5/6=0, solve please
Answers
Based on the task content given; the solution to the equation for x 3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0 is 2 203/231
Simplification3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0
open parenthesis(3 1/2 × 2 1/5x) - (3 1/2 × 4 2/3) - 5 5/6 = 0
(7/2 × 11/5x) - (7/2 × 14/3) - 35/6 = 0
77/10x - 98/6 - 35/6 = 0
77/10x = 98/6 + 35/6
77/10x = 98+35 / 6
77/10x = 133/6
x = 133/6 ÷ 77/10
= 133/6 × 10/77
= 1330/462
x = 2 406/462
= 2 203/231
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In the state of Pennsylvania 12% of students submit box tops for education to their school. A large school district in western Pennsylvania runs a contest to see if they can increase participation. The superintendent takes a random sample of 210 students from the district and finds that 35 have submitted box tops this year. Do these data provide convincing evidence that the contest has increased participation in the box tops for education programs
Answers
Answer:
Step-by-step explanation:
All it's saying is that the 12% of the people are 35 and the 82% of people who did not submitted data is 175 people
The calculated test statistic (2.08) is greater than the critical value (1.96), we reject the null hypothesis and conclude that there is evidence to suggest that the contest has increased participation in the box tops for education program.
How to calculate the null hypothesis?To determine if the contest has increased participation in the box tops for the education program, we need to conduct a hypothesis test.
We will use a significance level of 0.05, which means we are willing to accept a 5% chance of making a Type I error (rejecting the null hypothesis when it is actually true).
Null Hypothesis: The proportion of students submitting box tops for education is still 12% (or has decreased) after the contest.
Alternative Hypothesis: The proportion of students submitting box tops for education has increased after the contest.
To test this hypothesis, we will use a one-sample proportion test. We will use the sample proportion, p' = 35/210 = 0.1667, as an estimate of the population proportion, p. The test statistic is calculated as:
z = (p' - p) / √(p x (1-p)/n)
where n is the sample size.
Under the null hypothesis, the expected value of the test statistic is 0, and the standard deviation of the test statistic is sqrt(p*(1-p)/n).
Using p = 0.12 and n = 210, we have:
z = (0.1667 - 0.12) / √(0.12 x 0.88/210) ≈ 2.08
The critical value for a significance level of 0.05 and a two-tailed test is ±1.96.
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Mifflin Paper Company just upgraded to a heavier cardstock paper for its $42.00
business cards. To compensate for the increase in quality, Mifflin Paper Company is
raising its prices by 19%. What is the new price of business cards?
Answers
Answer:
49.98
Step-by-step explanation:
Nora is going to invest in an account paying an interest rate of 6.4% compounded
daily. How much would Nora need to invest, to the nearest hundred dollars, for the
value of the account to reach $72,000 in 16 years?
Answers
The amount of money that Nora would need to invest is $25913.
How to determine the value of P?In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):
\(A(t) = P(1 + \frac{r}{n})^{nt}\)
Where:
A represents the future value.n represents the number of times compounded.P represents the principal.r represents the interest rate.T represents the time measured in years.By substituting the given parameters into the formula for compound interest, we have the following;
\(72,000 = P(1 + \frac{0.064}{365})^{365 \times 16}\\\\72,000 = P(1 + 1.75 \times 10^{-4})^{5,840}\\\\72,000 = P(1.000175)^{5,840}\)
P = 72,000/2.77849825425152
Principal, P = $25913.28 ≈ $25913
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Find r. R + 5.6 = 10.8
Answers
Answer:
r=5.2
Step-by-step explanation:
Answer:
5.2
Step-by-step explanation:
I used a calculator
Could I have a brainliest pls
A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x < 10 represent the situation
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
O There are a three solutions because 8, 9, and 10 are possible solutions.
O There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Answers
Answer:
Option 4
Step-by-step explanation:
Let any two real number a and b (no matter +ve, -ve or 0). a ≥ b
The average of them will always lie in between them or be equal(if 0).
Let's prove : According to the statement,
a ≥ (a + b)/2 ≥ b
2a ≥ a + b ≥ 2b
2a ≥ a + b and a + b ≥ 2b
a ≥ b and a ≥ b, as we assumed.
Moreover, as the average exists in between a and b, we have the average (a + b)/2. Similarly, there exists one more average of (a + b)/2 and a or b, which definitely lie between a and b as (a + b)/2 lies there and smaller than a and b.
In the same order, we can have many average and the process would stop. This leads to infinite number between a and b.
Notice that we talked about all the numbers moreover there are many irrational(non-terminating like 9.898989.... etc numbers as well.
Option (4), infinite solutions.
Note: we solved for all the number (not specifically odd, even, natural, whole, integer, etc).