Answer:
The correct option is A:
MAD = 1 + 1/4
Step-by-step explanation:
For a set of N elements {x₁, x₂, ..., xₙ}
The mean is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the mean absolute deviation is calculated as:
[tex]MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}[/tex]
Here we have the set of 8 elements:
{ 2, 2, 3, 4, 4, 5, 6, 6}
The mean of this set is:
M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4
Then the mean standard deviation is:
[tex]MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8[/tex]
If we simplify this, we get:
MAD = 10/8 = 5/4 = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4
MAD = 1 + 1/4
The correct option is A.
f(x) = 3 x² + 5 x - 7 &
g(x) = x² + 8 x + 10
Asked=
a. f(x) + g(x) =
b. f(x) - g(x) =
Answer:
4x² + 13x + 3 and 2x² - 3x - 17
Step-by-step explanation:
(a)
f(x) + g(x)
= 3x² + 5x - 7 + x² + 8x + 10 ← collect like terms
= 4x² + 13x + 3
(b)
f(x) - g(x)
= 3x² + 5x - 7 - (x² + 8x + 10)
= 3x² + 5x - 7 - x² - 8x - 10 ← collect like terms
= 2x² - 3x - 17
Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept
x y
0 4
2 9
4 14
6 19
8 24
Answer:
See explanations below
Step-by-step explanation:
Using the coordinate points in the table (0, 4) and (2, 9)
Slope m = y2-y1/x2-x1
m = 9-4/2-0
m = 5/2
slope = 5/2
Get the y-intercept
Substitute m = 5/2 and (0,4) into y = mx+c
4 = 5/2(0) + c
4 = 0+c
c = 4
y-intercept is 4
Get the equation
Recall that y = mx+c
y = 5/2x + 4
Using another 2 points (2,9) and (4, 14)
Slope = 14-9/4-2
Slope = 5/2
Since the slope is the same for the coordinates, hence the the equation is correct
Please help please help please help you
4. What happens to the average kinetic energy of matter when heated?
Answer:
because it is melted
Step-by-step explanation:
let
body heating on 100c and its average is 50
What is the slope of y = -x + 7?
Answer:
-1
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -x + 7
m = -1
HELP ON THIS QUESTION !!!!!!!!
Answer:
b
Step-by-step explanation:
i took the test
One angle of a parallelogram measures 70°. What are the measures of
the other three angles in the parallelogram?
Answer:
70,110,110
Step-by-step explanation:
angles in a parallelogram=360, opposite angles are equal, so two of the angles measure 70° each, 70+70=140, 360-140= 220, 220÷2= 110
Choose the best response
Answer:no
Step-by-step explanation:shdbdjxbejxidvdkdidbdndjd
Which expression simplifies to:
12x−9
(10x−2)−(−2x+7)
(10x+2)−(2x−7)
(7x−5)−(5x−4)
10x−2−2x+7
Answer:
(10x+2)−(2x−7)
Step-by-step explanation:
(10x−2)−(−2x+7) = 10x−2+2x-7
(10x+2)−(2x−7) = 10x−2−2x+7
(7x−5)−(5x−4) = 7x−5− 5x+4
expand the square of a binomial (r-q)^2
Answer:
Step-by-step explanation:
Either memorize these two formulas, or derive them through multiplying r - q by r - q.
(r - q)^2 = r^2 - 2qr + q^2, and
(r + q)^2 = r^2 + 2qr + q^2 This is the square of the binomial (r + q).
Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).
Answer:
Step-by-step explanation:
From the given information:
Let assume:
[tex]\mu_1 =[/tex] population mean for catalyst 1
[tex]\mu_2 =[/tex] population mean for catalyst 2
Then:
Null hypothesis: [tex]\mu_1 \ge \mu_2[/tex]
Alternative hypothesis: [tex]\mu_1 <\mu_2[/tex]
[tex]\alpha= 0.01[/tex]
By using MINITAB software to compute the 2 sample t-test, we have:
Two-Sample T_Test and CI
Sample N Mean StDev SE Mean
1 12 94.00 3.00 0.87
2 15 90.00 2.00 0.52
Difference = [tex]\mu_1(1)-\mu_2(2)[/tex]
Estimate of difference: -6.00
99% upper bound for difference: -3.603
T-test of difference: 0 (vs <): T-value = -6.22
P.value = 0.000
DF = 25
Both use Pooled StDev = 2.4900
From above result
the test statistics = -6.00
p-value = 0.00
Decision Rule: To reject [tex]H_o\ \ if \ \ p \le \alpha[/tex]
Conclusion: Provided that p-value is < ∝, we reject [tex]H_o[/tex]. Hence, there is sufficient evidence to support the given claim.
b) From the MINITAB;
The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:
[tex]\mathbf{\mu_1 -\mu_2 \le -3.60}[/tex]
what is 13.646 rounded to the nearest whole number
Answer:
The answer is 14.
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
B
Step-by-step explanation:
kengrew 4/5 of an inch last year sang grew three eighths of an inch who grew more and by how much
Answer:
Ken;
Step-by-step explanation:
Ken grew 4/5 of an inch. 4/5=0.8
Sang grew 3/8 of an inch. 3/8= 0.375
0.8 > 0.375 so Ken grew more.
0.8 - 0.375 = 0.425
So, Ken grew 0.425 more inches than Sang grew. 0.425 is also the same thing as 17/40.
Pls helpdjdjdhtv I'm genuinely confused, I've been trying to solve this for like 3 hours
(I need two separate answers for each question but you need the 1st question to answer the second one as it states)
if you help I'll literally be so happysiwjejrb
Answer:
2) 92.1327412287*
3) $288.71**
Step-by-step explanation:
2)Triangle = 1/2(8)11=44
Rectangle =8x3=24
Semicircle = 1/2[tex]\pi[/tex]r²=1/2[tex]\pi[/tex]4²=24.1327412287
44+24+24.13=92.1327412287
3) 92.1327412287x3.10=288.711497809
*I don’t know what they want it rounded to. I used the real pi, but if the directions say to use 3.14 for pi, it would change the answer
**If the first answer changes, so does the second.
rob built a model of the 1903 Wright Flyer using a scale of 5 inches=16 feet. If the wingspan of his model is 12.5 inches long, find the wingspan of the actual flyer
Answer:
40.3
Step-by-step explanation:
ratios
The points I, J, K and L all lie on the same line segment, in that order, such that the ratio of IJ : JK: KL is equal to 4:6: 1. If IL = 22, find JK.
Answer:
12
Step-by-step explanation:
First we find how much the ratio is
4:6:1 = 11 which is half of 22
You have to double each in order to get to 22
IJ:JK:KL
4 : 6 : 1 =11
8 : 12 : 2 =22
JK=12
is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Orlando was $220. Now the cost is $370. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
68% increase and 91% increase
Step-by-step explanation:
220(1+x)=370 -- 220(1+rate increase)=370
1+x=1.68
x=.68
220(1+x)=420 (370+50)=420
1+x=1.909
x=.91
help me with the math problem
Answer: If Im correct, Y= 14
Step-by-step explanation:
If X=2
Then 2x would be 2x2
and that equals 4
so then you have y=4+10
and 4+10=14
y=14
Answer:
y = 14
Step-by-step explanation:
y = 2x + 10 , x= 2.
y = 2(2) + 10
= 4 + 10
= 14
Gotham government officials have a 71.3% chance of being corrupt. Determine the
probability that a randomly selected Gotham government official is not corrupt.
Q
Your Answer:
What is 3.6 subtract 0.7
Answer:
2.9
Step-by-step explanation:
3.6 - 0.7 = 2.9
Answer:
2.9 ｡◕‿◕｡ make as brainlest
explain
3.6 - 0.7 =2.9
PLEASE HELP AND NO LINKS OR YOU WILL BE REPORTED
I need help with this please help me I wanna say the answer is 10 but I’m afraid I’m wrong
Answer:
You're right its 10
Computer screen looking kinda dirty ngl
Step-by-step explanation:
Find the measure of angle 1.
Answer:
Do you have an attached picture?
Step-by-step explanation:
Answer:
There's nothing there
Step-by-step explanation:
Write an equation of a line (SLOPE INTERCEPT FORM) that goes through points A(9, 2) and B(- 1, 4) please help!
Answer:
the answer to the problem is -1/4
Complete the expressions that would make them a perfect square trinomial.
a.
x² – 8x+
b. x2 + 20x +
C.
x² – 16x +
d. x2 + 9x +
Answer:
a) 16
b) 100
c) 64
d) [tex]\frac{81}{4}[/tex][/tex]
Step-by-step explanation:
Perfect square trinomial:
A perfect square trinomial has the following format:
[tex](x \pm a)^2 = x^2 \pm 2ax + a^2[/tex]
a.
x² – 8x
[tex]x^2 - 8x = x^2 - 2ax[/tex]
So 2a = 8, a = 4. Then
[tex]a^2 = 4^2 = 16[/tex]
The perfect square trinomial is [tex]x^2 - 8x + 16[/tex]
b. x2 + 20x +
2a = 20, so a = 10
[tex]a^2 = 10^2 = 100[/tex]
The perfect square trinomial is [tex]x^2 + 20x + 100[/tex]
C.
x² – 16x +
2a = -16, so a = -8.
[tex]a^2 = (-8)^2 = 64[/tex]
The perfect square trinomial is [tex]x^2 - 16x + 64[/tex]
d. x2 + 9x +
[tex]2a = 9[/tex], so [tex]a = \frac{9}{2}[/tex]
[tex]a^2 = (\frac{9}{2})^2 = \frac{81}{4}[/tex]
The perfect square trinomial is [tex]x^2 + 9x + \frac{81}{4}[/tex][/tex]
Chemicals A and B react to form one of
two different compounds. When 1 mole of
Chemical A reacts with 1 mole of Chemical
B, the product is 1 mole of a compound with
a molar mass of 72 grams. When 2 moles of
Chemical A react with 3 moles of Chemical
B, the product is 1 mole of a compound with
a molar mass of 160 grams. What is the molar
mass, in grams, of Chemical A? (Note: The
product compound is the only compound
produced by the reaction.)
I uplоadеd the answеr to a filе hоsting. Herе's link:
bit․ly/3t54Tdn
Helppppppppppp!!!!!!!!!!!!!?????
Answer:
ANSWER IS = 65536 I THINK forgive me if I'm wrong
Step-by-step explanation:
the picture explaining how so how you do this dont Multiple 4x2 as in regular its wrong it isn't like regular math you need to multiple whatever number is on top like 4^2 so we do 4x4 shown on top cause thats how many you need to multiple with and another 4^6 so this is 4x4x4x4x4x4 6 times
DONT DO's:
Don't regularly multiply 4x2 or 4x6 this is EXPONENT :)
I even added a example below
{i'm sorry if its wrong again}
6x8 = nx 16
What is the value of the unknown number?
what is the quotient?
Answer:
1/9
Step-by-step explanation:
(-3)^0 = 1
(-3)^2 = 9
so, 1/9
Please help what is the answer if you put a link you will get reported
Answer:
it's 1and 3 are the modes