Answer: a. 1
Step-by-step explanation:
Given data: 9, 7, 6, 8, 7, and 5.
Mean absolute deviation: [tex]MAD=\dfrac1n\sum^n_{i=1}|x_i-m|[/tex], where m = mean
mean (m) = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]
[tex]=\frac{42}{6}\\\\=7[/tex]
Now, [tex]MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}[/tex]
[tex]MAD=\dfrac{2+0+1+1+0+2}{6}[/tex]
[tex]MAD=\dfrac{6}{6}[/tex]
[tex]MAD=1[/tex]
Hence, the mean absolute deviation=1
Thus correct option is a. 1
Help please worth 57 points
Answer:
Always, always.
Which pair of expressions below are equivalent (the same)?
1. 2x + 2y and 4xy
2. 3(x + 4) and 3x + 12
3. 7x + 6x and 42x
4. 5x + x + x and 6x
Please help it’s a test !
Answer:
2.
Step-by-step explanation:
2. because 3(x+4) if we distribute 3 in parenthesis we have 3x+12
She buys 12 bottles of tomato juice each bottle contains 3/4 cup of juice sheena also buys 12 bottles of orange juice each bottle contains 3 cups of orange juice
CAN SOMEONE ANSWER THIS?
tan ( 37 ) = x / 12
x = 12 * tan( 37 )
Hello can someone answer this question please
1/4 = 0.25 is the largest value..
It is right answer....
I GIVE BRAINLIEST!!! Derek wants to save up for a new baseball glove. The price of the glove with tax is $385. If he can save $65 per month , how many months will it take him to save up for the glove?
Answer:
6
Step-by-step explanation:
385/65= about 6 but technically its like 5.92307...
Step-by-step explanation:
Price of glove with tax = 385
Money saved per month = 65
Months needed for Derek to save enough money
= 385/65
= 5.923 months
HELP PLISS
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
It's Cos.
Hope this helps
Can anyone help me find the function for this trig graph ? i need a specific answer for the function , 50 pts
Answer:
y = 5 sin (2x) + 4
Step-by-step explanation:
this is sines function,
the amplitude is [9 - (-1)]/2 = 10/2 = 5
the period is 2πx/π = 2x
the x-axis of actual function is at y = 4
so, the function is :
y = 5 sin (2x) + 4
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.9 minutes and a standard deviation of 2.9 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway.
(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)
(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)
(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
Answer:
a) 0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.
b) 0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes
c) 0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes
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 establishes 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 8.9 minutes and a standard deviation of 2.9 minutes.
This means that [tex]\mu = 8.9, \sigma = 2.9[/tex]
Sample of 37:
This means that [tex]n = 37, s = \frac{2.9}{\sqrt{37}}[/tex]
(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?
320/37 = 8.64865
Sample mean below 8.64865, which is the p-value of Z when X = 8.64865. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{8.64865 - 8.9}{\frac{2.9}{\sqrt{37}}}[/tex]
[tex]Z = -0.53[/tex]
[tex]Z = -0.53[/tex] has a p-value of 0.2981
0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.
(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?
275/37 = 7.4324
Sample mean above 7.4324, which is 1 subtracted by the p-value of Z when X = 7.4324. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{7.4324 - 8.9}{\frac{2.9}{\sqrt{37}}}[/tex]
[tex]Z = -3.08[/tex]
[tex]Z = -3.08[/tex] has a p-value of 0.001
1 - 0.001 = 0.999
0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.
(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes?
Sample mean between 7.4324 minutes and 8.64865 minutes, which is the p-value of Z when X = 8.64865 subtracted by the p-value of Z when X = 7.4324. So
0.2981 - 0.0010 = 0.2971
0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes
Pizza Uno offers 2/3 of a small pizza for $3.50. Pizza Duo offers % of a small pizza for $4.20. How much does each charge for a whole small pizza?
Show your work and remember to answer the question.
Answer:
Pizza Uno offers $5.25 for a small pizza and Pizza Duo offers $5.60 for a small pizza.
Step-by-step explanation:
For Pizza Uno:
If 2/3 of a Pizza costs $3.50, divide it by 2.3.50 ÷ 2 = 1.75For each 1/3 it costs $1.75Multiply 1.75 by 3 to get a whole pizza.1.75 × 3 = 5.25For pizza Duo: (the "%" is actually 3/4)
If 3/4 of a pizza costs $4.20, divide it by each 1/4 you get (3).4.20 ÷ 3 = 1.40Each fourth (1/4) costs $1.40 eachMultiply 1.40 by 4 to get a whole pizza1.40 × 4 = 5.60how to find the vat on 14% of 1800
Answer:
14/100*1800
25200/100
252
Step-by-step explanation:
therefore vat=252
find the radius of a circle if the circumference is 66cm
Answer:
Approximately 10.5, or 10.5095541.
Step-by-step explanation:
To find the radius given the circumference of a circle, we first have to divide the circumference by pi, or an estimation of 3.14. This will give us the diameter.
Since we know that the radius of a circle is simply half the diameter, we divide the number we got from the problem above by 2. This will give you your answer!
Answer:
r = 10.50
Step-by-step explanation:
Circumference =
[tex]2\pi \: r[/tex]
[tex] 66 = 2\pi \: r[/tex]
[tex] \frac{66}{2\pi} = r[/tex]
r = 10.5
if the sum of two consecutive odd number is 20 find the number
Answer:
Step-by-step explanation:
let a number be x
let another number be x+1
x+x+1=20
2x=20-1
x=19/2
x=9.5
therefore one number is 9.5 and another number is x+1=9.5+1=10.5
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
Let the Consecutive odd numbers be x and x+2
[tex]x + x + 2 = 20[/tex][tex]2x = 20 - 2[/tex][tex]2x = 18[/tex][tex]x = 9[/tex]Therefore, the numbers are :
[tex]x = 9[/tex][tex]x + 2 = 11[/tex]______________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Find the exact value of tan A in simplest radical form.
PLEASE HELP
Answer:
[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]
Which does NOT have a value of 4 when
simplified?
1. 5.6x0.15 + (-3.16)
1. (-7x23) + (-43)
III. -5.6+4(3)
Answer:
3 beause when you dividend it -5.6+4(3) .
Simplify the ratio
6 doctors to 27 patients
Answer:
2 doctors to 9 patients
Step-by-step explanation:
Divide each by 3. They cant be simplified more.
For football the KLAA south division has 6 teams. Find the number of different ways that first, second and third place can be decided. NO LINKS!!!
Answer:
20 ways
Step-by-step explanation:
by using combination rule :
6C3 = 6! /(3! × 3!)
= 6×5×4×3! / 3! × 3×2×1
= 20 ways
==========================================================
Explanation:
Order matters because we want to distinguish between first place, second place, and third place winners. So something like ABC is different from BCA.
We have 6 ways to pick a first place winner, then 5 for second place, then 4 for third place. Overall, there are 6*5*4 = 30*4 = 120 permutations
You could use the nPr formula with n = 6 and r = 3 as an alternative method
[tex]_n P _r = \frac{n!}{(n-r)!}[/tex]
The exclamation marks indicate a factorial.
i need this done fast
Answer: 1) V≈1244.07 in 2) V≈54286.72 ft 3) V≈23816.41 yd
Step-by-step explanation:
what times what equals -4 and adds up to 3
Answer:
-4 and 1
Step-by-step explanation:
-4 times 1 equals -4 and then -4 plus 1 equals 3
The two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.
To find two numbers that satisfy the given conditions, we can set up a system of equations.
Let's assume the two numbers are represented by 'x' and 'y'. We know that their product is -4 and their sum is 3, so we can write the following equations:
xy = -4 (Equation 1)
x + y = 3 (Equation 2)
To solve this system of equations, we can use the substitution or elimination method. Let's use the substitution method.
From Equation 2, we can express y in terms of x: y = 3 - x.
Substituting this into Equation 1, we get:
x(3 - x) = -4
Expanding and rearranging the equation, we have:
3x - x² = -4
Rearranging again, we get a quadratic equation:
x² - 3x - 4 = 0
We can factor this equation:
(x - 4)(x + 1) = 0
Setting each factor to zero, we find two possible solutions for x:
x - 4 = 0 --> x = 4
x + 1 = 0 --> x = -1
Now, we can substitute these values of x back into Equation 2 to find the corresponding values of y:
For x = 4: y = 3 - 4 = -1
For x = -1: y = 3 - (-1) = 4
Therefore, the two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ6
what is the perimeter of this given figure
pahelp po. thank you
Answer:
14 units
Step-by-step explanation:
Side length of each square is 1 unit.
So, sum of the lengths of all the border edges = 14 units
Thus, the Perimeter of the figure = 14 units
WILL GIVE U BRAINLIEST
True or False: All obtuse triangles are scalene?
Answer:
False
Step-by-step explanation:
an obtuse triangle maybe isosceles or scalene
Can someone please help?
Answer:
It is closer to 7,000 than 8,000
Wanda Frey insured her home for $156,400. Her annual insurance rate is $0.83
per $100. What annual premium did she pay?
Answer:
$1,298.12
Step-by-step explanation:
there are 1564 hundreds in 156,400
so 1564 x .83 = 1298.12
Find the slope of the line tangent to the function y=6-3x at the point (5,0)
Answer:
-3
Step-by-step explanation:
To get the slope of the line tangent to the function y = 6 - 3x
First, we need to differentiate;
dy/dx = 0 -3x^{1-1}
dy/dx = 0 - 3x^0
dy/dx = 0 - 3
dy/dx = -3
Hence the slope of the line tangent to the function at the point is -3
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
a. 12 yd
b. 36 yd
54 yd
d. 144 yd
Please select the best answer from the choices provided
Answer:
B. 36 yd
Step-by-step explanation:
I calculated it logically
C. 20 people show up to the party, and Robert decides to give them each the
same amount of pizza. How much pizza does each person get?
Answer:
Step-by-step explanation:3/5 of the pizza
If [×] =5 what is the value of x?
Answer:
x = 5
Step-by-step explanation:
I didn't quite understand what you were asking but x should equal 5
Answer: 1 is the answer because nothing time _ will equal 5 but 1 times anything equal that number So its 1
What is the third quartile, Q3, of the following distribution? 10,25,18,31,16,27,5,13,32,24,15,21,18,18,24,4,8,11,11,23
Which matrix equation can be used to solve the system?
(2x+ 5y = 15
X + 3y = 18
THE CORRECT OPTION IS A where the input data is correct
Answer:
option 3
Step-by-step explanation:
[tex]AX = B\\X = A^{-1}B\\\\A = \left[\begin{array}{CC}\\2&5\\1&3\end{array}\right]\\\\\\B =\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\X =\left[\begin{array}{C}\\x&y\end{array}\right][/tex]
[tex]det A = 1\\\\adj A = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]
[tex]A^{-1} = \frac{1}{det A} \times Adj A[/tex]
[tex]= 1 \times \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\\\\\\= \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]
Therefore,
[tex]X = A^{-1}B\\\\\\\left[\begin{array}{C}\\x&y\end{array}\right] = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\[/tex]
How much material would it take to cover the sandbox?
Answer:
D.6,600 ft
Step-by-step explanation:
I hope it helps