Answers
Step-by-step explanation:
Given that,
f(x)=x+1
Put x = -4,
f(-4) = -4+1 = -3
Put x = -1,
f(-1) = -1+1 = 0
Put x = 0,
f(0) = 0+1 = 1
Put x = 1,
f(1) = 1+1 = 2
Put x = 4,
f(4) = 4+1 = 5
So,
x f(x)
-4 -3
-1 0
0 1
1 2
4 5
Hence, this is the required solution.
Related Questions
The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of six hours. Suppose we select a random sample of 150 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours
Answers
Answer:
0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 20 hours, standard deviation of 6:
This means that [tex]\mu = 20, \sigma = 6[/tex]
Sample of 150:
This means that [tex]n = 150, s = \frac{6}{\sqrt{150}}[/tex]
What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?
This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a p-value of 0.9793
X = 19.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}[/tex]
[tex]Z = -1.02[/tex]
[tex]Z = -1.02[/tex] has a p-value of 0.1539
0.9793 - 0.1539 = 0.8254
0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours
x + a = c , solve for x
Answers
Answer:
Step-by-step explanation:
x+a=c
x=c-a
what fraction is equal to 50% of 1/3?
Answers
Step-by-step explanation:
50% × 1/3
= 1/2 × 1/3
= 1/6
-------
question 13 helllppp pllllz alomost done
Answers
cm in 6 mins so, that’s 3 cm per min. So if you do 15/3 you get 5 mins. Hope this is helpful! Sorry if it’s wrong :((
Constant of Variation
Given that f(x) = 2/x² and g =(x) = 13/x²
What is the domain of the functions f and g?
a. only positive integers
b. All non zero real numbers
c. only negative integers
d. All real numbers including zero
Please select the best answer from the choices provided
Answers
Answer:
B. All non zero real numbers
Step-by-step explanation:
I calculated it logically
Select all values equivalent to -10/7
A. -10/-7
B. -3 1/7
C. -10
- _
-7
D. 1 3/7
E. -1 3/7
Answers
Answer:
A)-10/-7 I hope the answer is correct . I will be happy when I get 5 points
Two cars start at the same time, but travel in opposite directions. One car's average speed is 20 miles per hour (mph). At the end of 2 hours, the two cars are 120 miles apart. Find the
average speed in mph of the other car. (Enter an exact number.)
help
X mph
Need Help?
Read it
Answers
Answer:
The first car's speed is 40 mph. 2 hours at that rate equals 80 miles. So:
140-80=60
60 miles/2 hours=30 mph as the rate of the second car.
Step-by-step explanation:
Question
Translate and solve: Twelve less than x is equal to 51. Enter the equation
Answers
Answer:
x = 63
Step-by-step explanation:
From the question, we can deduce the following points;
- 12 less than x which simply means 12 subtracted from x.
- the value of the above expression is equal to 51.
Translating the word problem into an algebraic expression, we have;
x - 12 = 51
Rearranging the equation (collecting like terms), we have;
x = 51 + 12
x = 63
Which table shows the same relationship as y = -x^2 + 3x?
Answers
Answer:
H
Step-by-step explanation:
given y = -x² + 3x.
let f(x) be y.
f(-2) = -(-2)² + 3(-2) = -10
f(-1) = -(-1)² + 3(-1) = -4
f(0) = -(0)² + 3(0) = 0
f(1) = -(1)² + 3(1) = 2
f(2) = -(2)² + 3(2) = 2
Select the correct answer.
Mariah is shopping for pencils and erasers to give to her piano students. She can purchase at most 50 total items. She wants the
number of pencils purchased to be greater than the square of the number of erasers.
Create a system of inequalities to model this situation, and use it to determine how many of the solutions are viable. Which statement
is true about the solution of this system?
No part of the solution region is viable because the number of pencils and erasers purchased cannot be negative.
Part of the solution region includes a negative number of pencils purchased; therefore, not all solutions are viable for the
given situation
The entire solution region is viable.
Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for
the given situation.
Answers
Answer:
D. Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for the given situation.
Step-by-step explanation:
I got it right on the practice
Answer:
Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for
the given situation.
Find the equation of the line parallel to y=-11-5, that passes through the point
(4, -3). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or-a/b.
Answers
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
Answer: y=41−11x.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
Given that the function graphed is f(x), what is f (4)?
A) -2
B) -4
C) -6
D) -8
PLEASE ANSWER QUICKLY THANK YOUUUU
Answers
Answer:
D) - 8
Step-by-step explanation:
If the function graphed is the right function and the question is asking for f(4), this means the question is just asking for the y value when x is equal to 4. Looking at the graph, we can see this is -8.
Evaluate the expression when
a = 0.3
b = 0.5
c = 0.25
Answers
Answer:
See The Image Below:)
Step-by-step explanation:
Which ratio is equivalent to? 4:5
Answers
Answer:16:20
Step-by-step explanation:
Helpppppppppppppppp!
Answers
A cooler is in the shape of a right rectangular prism. If the cooler is 3 1/2 feet long, 2 5/6 feet wide, and 1 foot deep, what is the volume of the cooler ?
Answers
Explanation:
1 • 3 1/2 • 2 5/6 = 9 11/12
MARK ME BRAINLIEST TYSM!
Have a nice day/night (о´∀`о)
-SpaceMarsh
plz help????????????
Answers
Answer:
b.
Step-by-step explanation:
Parallel lines have the same slope.
what is a set of ordered pairs of real numbers ?
Answers
Answer:
order pair of real number is (2,3) is given by the first number 2 and the second number 3 Example (a,b).
There are 15 doughnuts.
Antoine eats a third of the
doughnuts. How much did he
eat? How many doughnuts are
left?
Answers
15/3 = 5
There are 5 doughnuts left.
If he eats 1/3 of the doughnuts he ate 5 doughnuts and there would be 10 left
Solve the system of equations.
2y+7x=−5
5y−7x=12
Answers
We can solve this by substitution method.
Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.
[tex]5y-7x=12[/tex]
[tex]5y-7x-12=0[/tex]
[tex]5y-12=7x[/tex]
Therefore, [tex]7x=5y-12[/tex]
Now replace the 7x in the first equation with 5y - 12:
[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)
[tex]2y+(5y-12)=-5[/tex]
[tex]7y-12=-5[/tex]
[tex]7y=7[/tex]
[tex]y=1[/tex]
Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12
[tex]7x=5y-12[/tex] (substitute in y = 1)
[tex]7x=5(1) -12[/tex]
[tex]5x=5-12[/tex]
[tex]7x=-7[/tex]
[tex]x=-1[/tex]
__________________________________________________________
Answer:
[tex]y=1\\x=-1[/tex]
fast brainleist on line and 40
Answers
Answer:
1/40
Step-by-step explanation:
HELP PLEASE :(... I will give brainliest:)
Answers
Answer:
your just putting the numbers at the bottom into the line plot . so let's say there is 333 u would up the three 3 on the plot .
Step-by-step explanation:
hope this helps let me know if u need a better explanation
Fill in the blank:
The golden ratio is also sometimes expressed as the______.
a.
golden median
c.
golden mean
b.
golden circle
d.
golden triangle
Answers
Answer:
c. golden mean
if emma had 3/9 cookie's and sophia had 9/8 how much wood that be in all
Answers
That should be the answer I'm not a 100% sure
Which of the following type of tax is NOT withheld from earnings?
Answers
Answer:
Following what?
Step-by-step explanation:
I'll go with Sales Tax
What is the name of the shape graphed by the function theta = -pi/6?
A.Line
B.Lemniscate
C.Limacon with inner loop
D. Circle
Answers
Answer:
D. Line
Step-by-step explanation:
If there are equals -pi/6 and nothing else then it’s going to be a line.
The shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .
What is graphed by function means?The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
What is constant function?A constant function is a function whose value is the same for every input value. For example, the function y(x) = 4 is a constant function because the value of y(x) is 4 regardless of the input value x. The graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).
According to the question
The name of the shape graphed by the function
Ф = [tex]\frac{-\pi }{6}[/tex]
As we can see that Ф is a constant function
and per definition of constant function :
A constant function is a function whose value is the same for every input value and the graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).
i.e
graphed by the function
Ф = [tex]\frac{-\pi }{6}[/tex]
will be a horizontal line which passes through point (0, [tex]\frac{-\pi }{6}[/tex] )
Hence, the shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .
To know more about graph of a function here:
https://brainly.com/question/27757761
#SPJ2
The diameter of a cylindrical construction pipe is 6ft. If the pipe is 32 long, what is its volume?
Use the value 3.14 for pie , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
Answer:
[tex] V_{pipe} \approx 904 \: {ft}^{3} [/tex]
Step-by-step explanation:
Diameter of the pipe = 6 ft
Therefore, radius (r) = 6/2 = 3 ft
Height of pipe (h) = 32 ft
Since, pipe is cylindrical in shape.
[tex] \therefore \: V_{pipe} =\pi {r}^{2} h \\ \\ \therefore \: V_{pipe} =3.14 {(3)}^{2} (32)\\ \\ \therefore \: V_{pipe} =3.14 {(3)}^{2} (32) \\ \\ \therefore \: V_{pipe} = 904.32 \\ \\ \therefore \: V_{pipe} \approx 904 \: {ft}^{3} [/tex]
Hence, the volume of pipe in nearest whole number is 904 cubic feet.
13. A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12minutes 30 seconds, giving your answer in meters.
Answers
Answer:
11.46 meters
Step-by-step explanation:
12min 30sec = 12.5min
55km/h * 12.5min * 1h/60min = 11.4583333333meters
A stretch of highway has a 4% uphill grade. This means that the road rises 1 foot for every 25 feet of horizontal distance. The beginning of the highway (x = 0) has an elevation of 2,225 feet. Write an equation for this stretch of roadway ini point-slope form.
Answers
Answer:
The equation for this stretch of roadway in point-slope form is [tex]y - 2225 = 0.04x[/tex]
Step-by-step explanation:
Equation in point-slope form:
The equation of a line in point-slope form is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which [tex](x_0,y_0)[/tex] is the point and m is the slope.
A stretch of highway has a 4% uphill grade. This means that the road rises 1 foot for every 25 feet of horizontal distance.
This means that [tex]m = 0.04[/tex]
The beginning of the highway (x = 0) has an elevation of 2,225 feet.
This means that [tex](x_0,y_0) = (0,2255)[/tex]. So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 2225 = 0.04(x - 0)[/tex]
[tex]y - 2225 = 0.04x[/tex]
The equation for this stretch of roadway in point-slope form is [tex]y - 2225 = 0.04x[/tex]
BEEN STUCK FOR A WHILE PLEASE HELP!! Find the perimeter and area for the triangle. Be sure to write the formula, and use correct measure.
Answers
Answer:
Area = 77ft²
Perimeter = 44 9/20 feets feets
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 19 1/4 feets = 77/4 feets
Height = 8 feets
Area = 1/2 * 77/4 * 8
Area = (77 * 8) / 8
Area = 77 feet²
Perimeter of a triangle :
Sum of the sides
Perimeter = a + b + c
Perimeter = 19 1/4 + 10 + 15 1/5
Perimeter = 44 + (1/4 + 1/5)
Perimeter = 44 9/20 feets