Answer:
[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]
Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)
Answer:
Graph the line y = -2.
Step-by-step explanation:
A line with zero slope is a horizontal line. Find (0, -2) on the y-axis and draw a horizontal line through it. This will fully address this question.
If (3, -5) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?
(3, -5)
(3, 5)
(-5, 3)
(5, -3)
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
How to determine which of the following must be an ordered pair of the inverse of f(x)To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.
Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.
Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:
x = f(y)
Substituting f(3) = -5:
3 = f(y)
Therefore, the inverse function of f(x) is y = 3.
Now, let's check which of the given ordered pairs satisfies the inverse function:
- For (3, -5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.
- For (3, 5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.
- For (-5, 3):
When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.
- For (5, -3):
When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
Learn more about inverse function at https://brainly.com/question/3831584
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Cayle the cat 3.1.4 Suppose I am conducting a test of significance where the null hypothesis is my cat Cayle will pick the correct cancer specimen 25% of the time and the alternative hypothesis is that she will pick the cancer specimen at a rate different than 25%. I end up with a p-value of 0.002. I also construct 95% and 99% confidence intervals from my data. What will be true about my confidence intervals
Answer: hello the options related to your question is missing attached below are the missing options
answer : Neither the 95% nor the 99% intervals will contain 0.25 ( B )
Step-by-step explanation:
Given that ;
H0 : = 0.25
Ha : ≠ 0.25
p-value = 0.002
also 95% and 99% confidence intervals are constructed
p value = 0.002 i.e. < 0.01 ∝ < 0.05 ∝
This means that we reject null hypothesis in both cases when (∝ =0.05 and ∝ = 0.01 )
Hence The true statement about my confidence intervals is :
Neither the 95% nor the 99% intervals will contain 0.25
You have the opportunity to purchase a MLB Franchise. The probability distribution of expected returns for the franchise is as follows:
Probability Rate of Return
0.1 –20%
0.2 0%
0.4 7%
0.2 15%
0.1 25%
The expected rate of return for your investment in the MLB Franchise is____Expected rate of return = ∑Piki. The standard deviation is_____.
Answer:
The expected rate of return is 6.3%.
The standard deviation is of 11.29%.
Step-by-step explanation:
Expected rate of return
Multiply each rate by its probability. So
[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]
The expected rate of return is 6.3%.
Standard deviation:
Square root of the difference squared between each value and the mean, multiplied by the probability. So
[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]
The standard deviation is of 11.29%.
How can you break up the figure into familiar shapes to determine the area?
A smaller rectangle is cut out of a larger rectangle. The larger rectangle has a base of 6 yards and height of 7 and one-fourth yards. The smaller rectangle has a base of 3 and two-thirds yards and height of 5 yards.
Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7One-fourth yd rectangle.
Add the area of the 5 yd by 3 and two-thirds yd rectangle to the area of the 6 yd by 7One-fourth yd rectangle.
Subtract the area of the 6 yd by 7One-fourth yd rectangle from the area of the 5 yd by 3 and two-thirds yd rectangle.
Multiply 6 yd by 7One-fourth yd and subtract 5 and 3 and two-thirds from the product.
Answer:
a
Step-by-step explanation:
edge 2021
Answer:
A: Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7 One-fourth yd rectangle.
Step-by-step explanation:
Just did the test on edge
Can someone help me please
Find the slope of the line.
The slope of the line is ___.
Answer:
5/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-(-4))/(2-(-2))
m=(6+4)/(2+2)
m=10/4
simplify
m=5/2
X-9/7x+2<_0 which graph shows the solution set of
Answer:
3. The third option is correct.
Step-by-step explanation
Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
here you go! hopefully this helps :))
(11x-28) + (10x-17) combine like terms
Answer:
21x-45
Step-by-step explanation:
(11x-28)+(10x-17)=11x-28+10x-17=21x-45
Hope this helps =]
Hey there!
(11x - 28) + (10x - 17)
= 11x - 28 + 10x - 17
COMBINE the LIKE TERMS
= (11x + 10x) + (-28 - 17)
= 11x + 10x - 28 - 17
= 21x - 45
Therefore, your answer is: 21x - 45
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the value of a in the equation -1/4 a -5=5-2?
Answer:
-32
Step-by-step explanation:
-1/4a-5=5-2
add 5 to both sides to cancel the negative five on the left side.
-1/4a-5+5=5-2+5
-1/4a=8
multiply the equation by -4 to get the a just by itself
-4(-1/4)a=8(-4)
a=-32
Hope that helps :)
solve for x: 5/2x = 15/2 x=3
Answer:
3
Step-by-step explanation:
5/2⋅=15/2⋅=3
Mr. Cox's round baler bales a 4-foot-wide bale having a 5.25 foot diameter. He wants to wrap
the bale in a white wrapper. He must allow an extra 10 percent for lapping. How many square
feet of wrapping does each bale require?
Answer:
109.27 ft²
Step-by-step explanation:
SA = face + face + curve
SA = 2πr² + 2πrw
= 2π(2.625)² + 2π(2.625)(4)
= ~43.3 + ~65.97 = 109.27 = SA
3. Reasoning Ben says that n = 5 is the solution of the equation 7n = 45. How can you check whether Ben is correct?
Answer:
You cant, because Ben is WRONG, unless you made a typo while writing the question
Step-by-step explanation:
If you subsitute N for 5, then the equation would be 7 x 5 = 45. However, this is not true. The correct equation is 7 x 5 = 35, so Ben is wrong UNLESS you made a typo while writing the question.
Hope this helped! If it did, please mark it brainliest! It would help a lot! :D
Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 118 miles in a day. Round your answer to four decimal places.
Answer:
0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.
Step-by-step explanation:
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.
Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day.
This means that [tex]\mu = 90, \sigma = 36[/tex]
Find the probability that a truck drives less than 118 miles in a day.
This is the pvalue of Z when X = 118. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{118 - 90}{36}[/tex]
[tex]Z = 0.78[/tex]
[tex]Z = 0.78[/tex] has a pvalue of 0.7823
0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.
Trever invested $10,000 in an account that earns 8.5%
interest that is compounded monthly.
(a) Write an exponential model for the balance of the
account.
(b) Determine the amount of money in the account
after 15 years.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Trever invested $10,000 in an account that earns 8.5% interest that is compounded monthly.
First, we need to calculate the monthly interest rate:
i= 0.085 / 12= 0.00708
Now, to calculate the future value of the investment, we need to use the following formula:
FV= PV*(1+i)^n
PV= initial investment
i= interest rate
n= number of periods
In this case:
FV= 10,000*(1.00708^n)
Finally, for 15 years:
n= 15*12= 180 months
FV= 10,000*(1.00708^180)
FV= $35,605.31
-X-6
constant.
coefficient:
variable
Answer:
constant: -6
Coefficient: -1
Variable: x
Step-by-step explanation:
Need help with this
Ege saat 21.30da yattı ertesi sabah 7.15'te uyandı.Ege kaç saat kaç dakika uyudu
ACİLLLLLLL LAZIM!!!!!!!!!!!!!
Answer:
ega caava 68=46
Step-by-step explanation:
tura pu ka dakkia chu la
(2x2)+(8-6)
Whats the answer
Answer:
6
Step-by-step explanation
following pemdas, we first multiply 2 x 2, which is four. Next, we do the other parenthesis, 8 - 6, which is two. 2 + 4 is 6.
Hope this helps!
Answer:
the answer is six
Step-by-step explanation:
2×2=4
then
8-6=2
4+2=6
Y=x+3
2x+y=-6
Find the solution :
Answer:
Your solution is (-3,0)
Step-by-step explanation:
Hi,
We know what Y is, so we can plug it into the second equation.
2x + y = -6
2x + (x + 3) = -6
Now, add the like terms...
3x + 3 = -6
3x = -9
x = -3
Now, plug x back in to find y.
y = x + 3
y = (-3) + 3
y = 0
Your solution is (-3,0)
Hope this helps :)
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Nicole mixed the juice from the two oranges with the least juice into yogurt. Nicole drank the juice from the orange with the most juice. How much more orange juice did Nicole drink than she mixed into her yogurt?
Answer:
the answer is 3
Step-by-step explanation:
the two lowest of the plot is 1 and 1 1/2 the most is 5 1/2 make it an improper fraction and 11/2 minus 5/2 is 6/2 simplify the answer is 3
HELPPPPP PLS ILL GOVE THE BRAINLIEST ANSWER !! just help asap !!
answer is 4√2
because, using pythagoras theorem
x² = 4² + 4²
x² = 16 + 16
x² = 32
x = √32
x = √(16 × 2)
x = √16 × √2
x = 4 × √2
x = 4√2
Write an equation of a line that has a slope of 3/4and passes through point (8,7)
PLEASE HELP DUE IN 3 minutes
Answer:
Answer is B
Step-by-step explanation:
Calcular la magnitud de la aceleración que produce una fuerza cuya magnitud es de 30 N a un cuerpo cuya masa es de 13 Kilogramos.
Answer:
2.308 m/s^2
Step-by-step explanation:
F = ma
30 N = (13 kg)a
---> a = 2.308 m/s^2
You are going to visit your aunt who lives 25 miles away . You have already traveled 7.7 miles. What percentage of the trip is still ahead of you?
The percentage of the trip that is still ahead of you is 69.2%.
What is the percentage?The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
You are going to visit your aunt who lives 25 miles away. You have already traveled 7.7 miles.
The percentage of the trip that is still ahead of you is calculated as,
P = [(25 - 7.7) / 25] x 100
P = (17.3 / 25) x 100
P = 0.692 x 100
P = 69.2%
More about the percentage link is given below.
https://brainly.com/question/8011401
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Jordan is flying a kite, which gets caught in the top of a tree. The angle of elevation made by the string on the ground is 44 degrees. The distance from the bottom of the string to the base of three is 90 feet. What is the height of the tree
Answer:
87 Feet
Step-by-step explanation:
It's been a while since I used trigonometry, but here is what I got.
We know that 44 degrees in the angle from the string to the base of the ground.
We also know that the length from that angle to the base of the tree is 90 feet.
So using the SOH, CAH, TOA rule we know that to figure out the opposite side (x) length using the adjacent side (90) length we need to use tangent of 44 degrees.
The equation should be tan(44°) = x/90
Tan(44°)=0.96589
Now you multiply that number by 90 to find x.
Hope that helped, let me know if it did or not.
Please help i don’t know and it’s a review
Answer:
D. 64º and 90º
Step-by-step explanation:
All triangles' angles add up to 180º.
A right triangle must have an angle that is 90º and it gives you that one is 26º so all you have to do is add those together and subtract that from 180º to find the last angle.
180 - (90 + 26) = 64º
So the two other angles of the triangle would be 90º and 64º.