The slope is undefined.
It is currently
in Greensboro, NC. Use the formula
, where
Celsius degrees and
Fahrenheit degrees, to convert
to Fahrenheit degrees.
The temperature in Fahrenheit is (9/5)X + 32.
Use the formula F = (9/5)C + 32, where C represents Celsius degrees and F represents Fahrenheit degrees
To convert X to Fahrenheit degrees."
Using the formula, we can convert Celsius to Fahrenheit as follows:
F = (9/5)C + 32
Substituting the given value, we get:
F = (9/5)(X) + 32
Simplifying:
F = (9/5)X + 32
Therefore, the temperature in Fahrenheit is (9/5)X + 32.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. The professor has informed us that 8. 75 percent of her students received grades of a. What is the minimum score needed to receive a grade of a?.
The minimum score needed to receive a grade of A is 88.51
Let, X, be the scores of the student's
X follows Normal Distribution with mean = μ = 73 and standard deviation = σ = 11
The professor has informed us that 7.93 percent of her students received grades of A.
That is P( X > a ) = 7.93% = 0.0793 .
We have to find a.
P( X > a ) = 7.93% = 0.0793
So, P( X <= a ) = 1 - 0.0793 = 0.9207
Using function = NORMINV( probability , μ ,σ )
a = NORMINV( 0.9207, 73 , 11 ) = 88.51
The minimum score needed to receive a grade of A is 88.51
We have to find P( X <= 57.93 )
Using function = NORMDIST( x, μ , σ , 1 )
P( X <= 57.93 ) =NORMDIST( 57.93 , 73 , 11 , 1 ) = 0.0853 = 8.53%
8.53 percent of students failed the course
To learn more about statistics, mean, median, and mode,
https://brainly.com/question/15323584
#SPJ4
a sequence is constructed by listing all the possible numbers that contain no digit greater than 3 in ascending order. what is the 2021st term of this sequence?
The 2021st term of the sequence is (- n - 2017).
Given,
A sequence is constructed by listing all the possible numbers that contain no digit greater than 3 in ascending order.
We need to find out what is the 2021st term of this sequence.
What is an arithmetic sequence?An arithmetic sequence is a sequence where the difference between the consecutive terms is the same.
Example: 2, 4, 6, 8, 10
4 - 2 = 2
6 - 4 = 2
8 - 6 = 2
The nth term of an arithmetic sequence is given by:
= a + ( n - 1 ) d
Where a = the first term
d = common difference
Let the sequence that contains no digit less than 3 in ascending order be:
3 - n, 3 - (n + 1), 3 - (n+2), 3 - (n+3), 3 - (n+4),......
Where n = any real number from 1.
We see that the common difference is -1.
3 - (n+1) - (3 - n)
= 3 - n - 1 - 3 + n
= -1
3 - (n+2) - [3-(n+1)]
= 3 - n - 2 - 3 + n + 1
= -1
Find the 2021st term.
We have,
a = 3 - n
d = -1
n = 2021
= a + ( n - 1 ) d
= (3 - n) + ( 2021 - 1 ) (-1)
= 3 - n - 2020
= - n - 2017
Thus the 2021st term of the sequence is - n - 2017.
Learn more about arithmetic sequence here:
https://brainly.com/question/10396151
#SPJ4
PLZZZZ HELLLLPPPPPPPPP!!!! *look at the picture*
solve for x
Answer:
x = 16
Step-by-step explanation:
Since we are looking at 2 vertical angles you would start with:
5x - 2 = 78
+2 +2
-------------------
5x = 80
x = 16
I hope this helps you! :)
100 POINTS!!! PLEASE ANSWER FAST! BRAINLIST!
lol I have no idea thank 4 the points
Kareem made $l89 for 9 hours of work.
At the same rate, how many hours would he have to work to make $105?
Answer:
She would have to work 5 hours to make $105.
Step-by-step explanation:
First Step: Find Unit Rate
189/9 = 21
9/9 = 1
Every 1 hour she gets paid $21.
Step 2: Find how much she needs to work to get paid $105
105/21 = 5
5 HoursExplain why two variables must both be quantitative in order to find the correlation between them
If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.
What is a variable?A variable in mathematics is a symbol and placeholder for a changing quantity or any mathematical object.A variable can specifically represent a number, a vector, a matrix, a function, a function's argument, a set, or an element of a set.Quantitative order:
Quantitative methods emphasize objective measurements and statistical, mathematical, or numerical analysis of data gathered through polls, questionnaires, and surveys, as well as by manipulating pre-existing statistical data using computational techniques. Ordinal-level measurement data can be quantitative or qualitative. They can be arranged in ranked order, but differences between entries are meaningless. Measurement data at the interval level are quantitative. They can be arranged in any order, and meaningful differences between data entries can be calculated. We can't do the arithmetic required in the r formulas if the variables aren't quantitative.Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.
Know more about quantitative data here:
https://brainly.com/question/24492737
#SPJ4
determine if the given vector field f is conservative or not. f = {(y + 8z + 7) sin(x), −cos(x), −8 cos(x)}
The given vector field f = {(y + 8z + 7) sin(x), −cos(x), −8 cos(x)} is not conservative.
To determine if the vector field f = {(y + 8z + 7) sin(x), −cos(x), −8 cos(x)} is conservative, we need to check if it satisfies the condition of being a curl-free vector field.
A vector field is conservative if and only if its curl is zero. The curl of a vector field F = {P, Q, R} is given by the cross product of the del operator (∇) with F:
∇ × F = (dR/dy - dQ/dz, dP/dz - dR/dx, dQ/dx - dP/dy)
Let's calculate the curl of the given vector field f:
∇ × f = (d(-8 cos(x))/dy - d(-cos(x))/dz, d((y + 8z + 7) sin(x))/dz - d((y + 8z + 7) sin(x))/dx, d(-cos(x))/dx - d((y + 8z + 7) sin(x))/dy)
Simplifying:
∇ × f = (0 - 0, 0 - (0 - (y + 8z + 7) cos(x)), 0 - (8 sin(x) - 0))
∇ × f = (0, (y + 8z + 7) cos(x), -8 sin(x))
Since the curl ∇ × f is not zero, it means that the vector field f is not conservative.
Therefore, the given vector field f = {(y + 8z + 7) sin(x), −cos(x), −8 cos(x)} is not conservative.
To know more about vector refer to-
https://brainly.com/question/29740341
#SPJ11
Mr. Adams drove his delivery truck 151.2 miles during 2.4 days. He drove the same number of miles each day. How many miles did he drive in one day? *
The graph below shows the solution to which system of inequalities?
Answer:
B: y >= 2
y < x
Step-by-step explanation:
The system of equations is the equations of the two line
The flat line is constant (doesn't increase or decrease) and has a y-intercept at two, so the equation for it is y = 2. Notice the shaded region is above the line, and it is not a dotted line so it is y >= 2.
The second line has a y-intercept at 0 and seems to have a slope of 1, so the equation for it is y = x. Notice the shaded region is below the line, and it is a dotted line so it is y < x.
Choose the best selection for the
quadrilateral with vertices at the
following points:
(0,0), (0,4), (8,4), (8,0)
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid
The quadrilateral with vertices (0, 0), (0, 4), (8, 4) and (8,0) makes the rectangle.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
The given points are,
(0, 0), (0, 4), (8, 4) and (8,0).
To determine the section for the quadrilateral,
Find distance between points.
The distance between two points A(x₁, y₁) and B(x₂, y₂)
Distance
= √(x₂ - x₁)² + (y₂ - y₁)²
The distance between (0, 0) and (0, 4)
= √(0-0)² + (4-0)² = √(0)² + (4)² = √(4)² = 4
The distance between (0, 4) and (8, 4)
= √(8-0)² + (4-4)² = √(8)² + (0)² = √(8)² = 8
The distance between (8, 4) and (8, 0)
= √(8 - 8)² + (0 - (4))² = √(0)² + (4)² = √(4)² = 4
The distance between (8, 0) and (0, 0)
= √(0 - 8)² + (0- 0)² = √(-8)² + (0)² = √(8)² = 8
Since, the opposite sides are equal,
Therefore, the quadrilateral is rectangle.
To know more about Rectangle on:
https://brainly.com/question/15019502
#SPJ2
How many degrees Fahrenheit is 25°c
Answer:
77
Step-by-step explanation:
Answer:
77 degress Farenheit
Step-by-step explanation:
Formula
(25°C × 9/5) + 32 = 77°F
describe the center and the variation of the data set. if necessary, round values to the nearest hundredth. the time spent volunteering is centered around approximately hours. the values differ from the average by about hours.
The time spent volunteering is centered around approximately X hours. The values differ from the average by about Y hours.
To determine the center and the variation of a data set, we need specific values. Unfortunately, the values for the time spent volunteering and the corresponding average and deviation are not provided in the question. Hence, I cannot provide precise calculations for the center and variation.
However, if you have a dataset of time spent volunteering, you can calculate the center (typically represented by the mean or median) and the variation (often measured by the standard deviation or range) of the data.
The center of a dataset represents the typical or average value. If the data is symmetrically distributed, the mean is often used as the measure of center. If the data has outliers or is skewed, the median can be a more appropriate measure.
The variation of a dataset measures how spread out the values are from the center. The standard deviation provides a measure of the average amount that values deviate from the mean. The range represents the difference between the maximum and minimum values in the dataset.
Without specific values for the time spent volunteering and the average and deviation, we cannot determine the precise center and variation. However, calculating the center and variation of a dataset can provide valuable insights into the distribution and spread of the data, helping us understand the typical value and the amount of variability around it.
To know more about time spent visit:
https://brainly.com/question/14604276
#SPJ11
Which of the following statements is true about an image after a dilation?
Answer:
Not sure what the answer choices are, but choose the choice that says the new image is either stretched or shrunk. In a dilation, the shape/corresponding sides of the pre-image are preserved in the new image, but the size of the new image is altered.
Step-by-step explanation:
hope this helps!
I just need level two and three solved please
Answer:
intercepts: (0, 5/2) or (-5, 0)arbitrary point: (7, 6)Step-by-step explanation:
You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).
InterceptsWriting the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -2 = 1/2(x -(-1)) . . . . . using given slope and point
2y -4 = x +1 . . . . . . . . . . multiply by 2
x -2y = -5 . . . . . . . . . . . . add -1 -2y
Setting x=0 tells us the y-intercept is ...
0 -2y = -5
y = -5/-2 = 5/2
So, the y-intercept is (0, 5/2).
Setting y=0 tells us the x-intercept is ...
x -2(0) = -5
x = -5
So, the x-intercept is (-5, 0).
Arbitrary pointIt will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...
x -2y = -5
x = -5 +2y = -5 +2(6) = 7
Another point on the line is (7, 6).
__
Additional comment
If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.
<95141404393>
Rationalize each denominator. Simplify your answer. 5+√3 / 2-√3
After rationalization the simplified form of the given expression is,
13 + 7√3.
The given expression is,
5+√3 / 2-√3
To rationalize its denominator,
We need to get rid of the radical in the denominator.
Multiply both the numerator and denominator by the conjugate of the denominator, which is 2+√3.
So, we have:
(5+√3) (2+√3) / (2-√3) (2+√3)
Since we know the identity:
(a-b)(a+b) = a² - b²
Therefore we get,
(5+√3) (2+√3) / (2²- (√3)²)
Expanding the numerator, we get:
(5x2 + 5√3 + 2√3 + 3) / (4 - 3)
Simplifying the numerator and denominator, we have:
(13 + 7√3) / 1
Hence, the simplified form of 5+√3 / 2-√3 is 13 + 7√3.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ4
What is the probability that a person who test positive actually has the disease? What is the probability that a person does not test positive?
The probability that a person has the disease given that his test result is positive is approximately 0.166 or 16.6%.
What are restrictions on applying Bayes' theorem?The Bayes theorem's assumption that the prior probabilities are known with certainty is one of its limitations. These probabilities, however, could not be known or be impossible to predict precisely in many real-world settings. Moreover, Bayes' theorem makes the assumption that each occurrence is independent, which may not necessarily be true in real-world circumstances.
Given that,
P(D) = 0.001
P(D') = 1- 0.001 = 0.999
P(T|D) = 0.99 (the test is 99% effective in detecting the disease)
P(T'|D') = 0.995
The Baye's theorem is given as follows:
P(A|B) = P(B|A) * P(A) / P(B)
Substituting the values:
P(T) = (0.99 * 0.001) + (0.005 * 0.999) = 0.00594
P(D|T) = (0.99 * 0.001) / 0.00594 ≈ 0.166
Hence, the probability that a person has the disease given that his test result is positive is approximately 0.166 or 16.6%.
Learn more about Bayes theorem here:
https://brainly.com/question/29598596
#SPJ1
The complete question is:
if the confidence coefficient is 0.77, what is the implied probability of error α?
A) 0.15
B) 0.85
C) 1
D) 0.05
if the confidence coefficient is 0.77, implied probability of error α is 0.23.
The confidence coefficient is a measure of the reliability of a statistical estimate, often used in hypothesis testing. In hypothesis testing, we aim to estimate the probability of error, denoted as alpha (α). Given a confidence coefficient of 0.77, we can find the implied probability of error α by using the formula:
α = 1 - confidence coefficient
So, in this case:
α = 1 - 0.77 = 0.23
Therefore, the answer is 0.23, and option (A) 0.15 is not correct.
It is important to note that the confidence coefficient is often expressed as a percentage, for example, a confidence coefficient of 0.77 would be expressed as 77%.
This can lead to confusion when trying to determine the probability of error α, as it is often expressed as a decimal.
Here you can learn more about confidence coefficient
https://brainly.com/question/27787972#
#SPJ11
the ages of 32 recruits in the police academy are normally distributed with a mean of 27 and a standard deviation of 2.
label the normal curve
Mean is 27 and SD is 2 then the normal curve with highest range would be at domain 27.
What is mean?The mean is the average of a set of numbers. It is calculated by adding all the numbers in the set together, and then dividing by the number of values in the set. It is calculated by adding up all the numbers in the set, dividing by how many values there are in the set, and then multiplying by that number. The average of a group of numbers is called the mean.
Mean is 27 and SD is 2
a) P(23<x<27)= P((23-27)/2<z<(27-27)/2)=P(-2<z<0)=P(z<0)-P(z<-2) or P(z<0)-(1-P(z<2))
From normal distribution table we get 0.5-(1-0.9772)=0.4772
b) P(x>31)=P(z>(31-27)/2)=P(z>2) or 1-P(z<2)=1-0.9772=0.0228
c) P(x<29)= P(z<(29-27)/2)=P(z<1)=0.8413
To learn more about Mean, Visit
brainly.com/question/14532771
#SPJ1
Find the solutions to the equation below.
Check all that apply.
2x^2 + 1-1x + 5 = 0
Answer:
Step-by-step explanation:
The trick here is that the equation factors.
y= 2x^2 + 11x + 5
y = (2x + 1)(x + 5)
So either
2x + 1 = 0 subtract 1 from both sides
2x = - 1 divide by 2
2x = -1/2
or
x + 5 = 0 Subtract 5 from both sides
x = - 5
Answer: B and D
Find the value of each variable
Answer:
m=120and k =60 hgfdfghjjh
Find the measure of the messing angle
Answer:
159 degrees
Step-by-step explanation:
If the entire line is 180 degrees then it is just,
180 - 21 = 159
Find the absolute maximum and absolute minimum values of the function f(x)=x^3−12x^2−27x+8 over each of the indicated intervals.
(a) Interval = [−2,0]. (b) Interval = [1,10]. (c) Interval = [−2,10].
The value of Absolute maximum are (a) 8, (b) -30.36, (c) -10 and the Absolute minimum are (a) -10, (b) -362.39, (c) -362.39.
We are given a function:f(x) = x³ - 12x² - 27x + 8We need to find the absolute maximum and absolute minimum values of the function f(x) over each of the indicated intervals. The intervals are:
a) Interval = [-2, 0]
b) Interval = [1, 10]
c) Interval = [-2, 10]
Let's begin:
(a) Interval = [-2, 0]
To find the absolute max/min, we need to find the critical points in the interval and then plug them in the function to see which one produces the highest or lowest value.
To find the critical points, we need to differentiate the function:f'(x) = 3x² - 24x - 27
Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a
Substituting the values of a, b, and c, we get:
x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37
We need to check which critical point lies in the interval [-2, 0].
Checking for x = 4 + √37:f(-2) = -10f(0) = 8
Checking for x = 4 - √37:f(-2) = -10f(0) = 8
Therefore, the absolute max is 8 and the absolute min is -10.(b) Interval = [1, 10]
We will follow the same method as above to find the absolute max/min.
We differentiate the function:f'(x) = 3x² - 24x - 27
Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a
Substituting the values of a, b, and c, we get:
x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)
x = (24 ± √(888)) / 6
x = (24 ± 6√37) / 6
x = 4 ± √37
We need to check which critical point lies in the interval [1, 10].
Checking for x = 4 + √37:f(1) = -30.36f(10) = -362.39
Checking for x = 4 - √37:f(1) = -30.36f(10) = -362.39
Therefore, the absolute max is -30.36 and the absolute min is -362.39.
(c) Interval = [-2, 10]
We will follow the same method as above to find the absolute max/min. We differentiate the function:
f'(x) = 3x² - 24x - 27
Now, we need to solve the equation:
f'(x) = 0
Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a
Substituting the values of a, b, and c, we get:
x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37
We need to check which critical point lies in the interval [-2, 10].
Checking for x = 4 + √37:f(-2) = -10f(10) = -362.39
Checking for x = 4 - √37:f(-2) = -10f(10) = -362.39
Therefore, the absolute max is -10 and the absolute min is -362.39.
Learn more about function at
https://brainly.com/question/31956232
#SPJ11
What do these values indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?
Because the sample statistic centers around a different value than the population parameter, the sample mean absolute deviation is a biased estimator of the population mean absolute deviation.
Reason Behind a Biased Estimator
The expected value (average) of all the sample absolute deviations must match the population absolute deviation in order for the absolute deviation to function as an unbiased estimator. It does not, however, which makes the values of sample mean absolute deviation behave as a biased estimator.
Brief Description of Sample Mean Absolute Deviation
The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.
Learn more about biased estimator here:
https://brainly.com/question/26415101
#SPJ4
1/x+3 + 1/x-3 = 6/x^2-9
Answer\(x=-\frac{1+\sqrt{55} }{9}\)\(x\neq 0\)
Step-by-step explanation:
1/x +3+ 1/x -3=6/x^2 -9
x+x=6-9x^2
x+x-6+9x^2=0
quadratic formula
Simplify (x^2+4x+4)/(x^2-4)/(x^2-x-6)/(x^2-5x+6)
PLEASE SHOW ALL WORK FOR BRAINLIEST! IDC IF YOU POST A PHOTO OF YOUR WORK :))
Therefore , the solution of the given problem of expression comes out to be the simplified expression is (x + 2) / (x - 5)(x - 1).
Describe Expression.There is a requirement for mathematical operations as addition, multiplication, and division. When combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact contains values, parameters, and mathematical operations including additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.
Here,
First, let's factor all the quadratics in the expression:
x^2 + 4x + 4 = (x + 2)^2
x^2 - 4 = (x + 2)(x - 2)
x^2 - x - 6 = (x - 3)(x + 2)
x^2 - 5x + 6 = (x - 2)(x - 3)
Now, we can rewrite the expression as:
[(x + 2)^2 / (x + 2)(x - 2)] * [(x - 2)(x - 3) / (x - 3)(x + 2)] * [(x + 2)(x - 3) / (x - 2)(x - 3)] * [(x - 2)(x - 3) / (x - 5)(x - 1)]
Notice that the (x + 2)(x - 3) terms cancel out in the numerator and denominator of the second and third fractions, respectively. Also, (x - 2)(x - 3) cancels out in the numerator and denominator of the third and fourth fractions, respectively.
Simplifying these terms, we are left with:
= [(x + 2) / (x - 2)] * [(x - 2) / (x - 5)(x - 1)]
= (x + 2) / (x - 5)(x - 1)
Therefore, the simplified expression is (x + 2) / (x - 5)(x - 1).
To know more about expressions visit :-
brainly.com/question/14083225
#SPJ1
write the equation of the line in fully simplified slop-intercept form.
please help
Answer:
slope intercept form: -3x-6
The sum of two numbers is 17. One number is 3 less then 2/3 of the other number. What is the lesser number?
Answer:
5
,
Step-by-step explanation:
The required lesser number is 5.
By selling a camera for Rs 60,000 there is a loss 20%. At what price should it be sold to get 12% profit? Find it.
Answer:
Rs 84000----------------------------------
Let the cost price of the camera be x.
When the selling price is 60000 there is a loss of 20%. Let's show this as equation and find the cost price:
x - 20% of x = 60000x - 0.2x = 600000.8x = 60000x = 60000/0.8x = 75000The cost price is Rs 75000, and we need a profit of 12%, it gives us the selling price of:
75000 + 12% = 75000 + 0.12*75000 = 75000 + 9000 = 84000WILL MARK BRAINLIST PLS HELP
Answer: A
Step-by-step explanation:
The coefficient of each x of each equation is the slope of that equation. So, you can find the slope of the lines.
For the red line, you see the line passes the (0, 2) point. It also passes (-4, -1). Since you have two points, you can find the slope. The slope is (y2-y1)/(x2-x1). Plugging these in, you get (-1-2)/(-4-0), which results in a slope of 3/4.
Now for this line, you can find the y-intercept to find the equation, which is where the line touches the y axis. This point is (0, 2). So, the equation for the red line is y = 3x/4 + 2, which is option A.
You don't need to find the equation for the blue line since all the other answers are incorrect.