The evaluation of the figures needed for the considered survey are:
The mean of the considered data is 1667/18 ≈ 92.61The mean of these 18 absolute deviations comes out as [tex]91.8/18 \approx 5.1[/tex]The number of scores which are within one mean absolute deviation of the mean is 10Suppose the data specified is of n sized as [tex]x_1, x_2, \cdots , x_n[/tex]
Let this data's mean be [tex]\bar{x}[/tex]
Then, the mean absolute deviation of this data is the mean of the absolute differences of the observations from the mean of the data they belong to.
It is calculated as:
[tex]M.A.D = \dfrac{\sum_{i=1}^n|x_i-\bar{x}|}{n}[/tex]
The data is missing from the problem statement, and is as shown below:
Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89Calculating the needed figures part by part:
Part 1: Mean of the group that studied, rounded to the nearest tenth.
Mean is the sum of observations divided by number of observations.
The sum of 18 observations: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
is 1667. Thus, its mean is 1667/18 ≈ 92.61 ≈ [tex]\bar{x}[/tex]
Part 2: The mean absolute deviation of the group that studied:
The absolute deviations of 18 observations: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
from the mean [tex]\bar{x}[/tex] ≈ 92.61 are approx:
[tex]|92.61 - 88| = 4.6\\|92.61 - 100| = 7.4\\|92.61 - 94| = 1.4\\|92.61 - 79| = 13.6\\|92.61 - 92| = 0.6\\|92.61 - 100| = 7.4\\|92.61 - 95| = 2.4\\|92.61 - 83| = 9.6\\|92.61 - 89| = 3.6\\|92.61 - 99| = 6.4\\|92.61 - 100| = 7.4\\|92.61 - 91| = 1.6\\|92.61 - 89| = 3.6\\|92.61 - 95| = 2.4\\|92.61 - 100| = 7.4\\|92.61 - 93| = 0.4\\|92.61 - 96| = 3.4\\|92.61 - 84| = 8.6\\[/tex]
Their sum is 91.8 approx.
Thus, the mean of these 18 absolute deviations comes out as
[tex]91.8/18 \approx 5.1[/tex]
Part 3: The number of scores which are within one mean absolute deviation of the mean
The range within one absolute deviation of the mean is [tex][92.61 - m.a.d, 92.61 + m.a.d] = [92.61 - 5.1, 92.61 + 5.1] = [87.51, 97.71][/tex]
The values from the studied group which is in this range are:
88, 94, 92, 95, 89, 91, 89, 95, 93, 96
They are total 10 in counts.
Thus, the number of scores which are within one mean absolute deviation of the mean is 10
Thus, the evaluation of the figures needed for the considered survey are:
The mean of the considered data is 1667/18 ≈ 92.61The mean of these 18 absolute deviations comes out as [tex]91.8/18 \approx 5.1[/tex]The number of scores which are within one mean absolute deviation of the mean is 10Learn more about mean absolute deviation here:
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Find the distance from N to T. (N=-2,1 T=3,1)
√29
√14
29
7
7 is the answer
hello bro
The county health inspector will select a random sample of 4 community swimming pools in the county to investigate the pH levels. (b) Describe the sampling distribution of the sample mean for samples of size 4.
Using the Central Limit Theorem, considering a normally distributed population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution is normal, with mean [tex]\mu[/tex] and standard deviation [tex]0.5\sigma[/tex].
Central Limit TheoremThe 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].
Hence, considering a normally distributed population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], and with the sample size of n = 4, the mean remains the same while the standard deviation is given by:
[tex]s = \frac{\sigma}{\sqrt{4}} = 0.5\sigma[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
Solve this for me please.
Answer:
Solve what? there's nothing there.
bonsoir, je suis bloqué sur lex 5 s'il vous plaît aidez moi merciii
Answer:
j'ai écrit ci-dessous
Step-by-step explanation:
Salut, j'utilise un traducteur, mais revenons à votre question
Je ne suis donc pas sûr de la question a, mais j'essaierai d'y répondre plus tard.
Pour la question b, il a utilisé la formule "a-b" je pense. C'est déjà indiqué dans le tableau. D'accord, je vais essayer de trouver la question a maintenant !
Edit
salut je suis de retour! donc d'après mes découvertes, le pgcd (si pgcd est le plus grand diviseur commen) serait 207. C'est parce que vous pouvez diviser les deux par 207, et une fois que vous le faites, vous ne pouvez plus le diviser par des nombres égaux.
2277/207 = 11
1449/207 = 7
J'espère que cela t'aides!
19. You borrow
$3000 (prinupal)
for 4 years and
pay a 9% interest
9
rate. How much
interest do you
pay ?
Answer
Interest =1080
Step-by-step explanation:
The formula to solve interest is Principal times Rate times Time
(7y
3
−2y
2
+5) + (4y
3
−3y)
Answer:
26 y + 5
Step-by-step explanation:
Simplify the following:
7 3 y + 4 3 y - 3 y - 2 2 y + 5
7×3 = 21:
21 y + 4 3 y - 3 y - 2 2 y + 5
-2×2 = -4:
21 y + 4 3 y - 3 y + -4 y + 5
4×3 = 12:
21 y + 12 y - 3 y - 4 y + 5
Grouping like terms, 21 y + 12 y - 3 y - 4 y + 5 = (21 y - 4 y + 12 y - 3 y) + 5:
(21 y - 4 y + 12 y - 3 y) + 5
21 y - 4 y + 12 y - 3 y = 26 y:
Answer: 26 y + 5
all of the inequalities that have the same solutions as -4x<20
The population of a small town increased by 3.25 in the last year. What if the town population was 10,400 last year show work
Answer: 33,800
Step-by-step explanation: 10,400 x 3.25 = 33,800
Answer:
14,200 people are now in the town
Step-by-step explanation:
First, find 3.25% of 10,400.
3.25% of 10,400
3.25 × 10,400 = 3,800
Then, add that to 10,400 to get 14,200.
Simplify the expression to a polynomial in standard form:
(x – 4)(3x² + 4x – 4)
2b+y is this an equation?
Answer:
No because equations have equal signs
Step-by-step explanation:
This is an expression
Marie has bought a plant which she needs to transfer from its cylindrical pot to the ground. The pot has diameter 10 cm and is 21 cm high. Marie needs to dig a hole 4cm wider and 5cm deeper than the pot. She then inserts the plant and fills in the rest of the hole with extra soil. (i) Calculate the volume of the hole Marie needs to dig. (ii) Before inserting the plant, Marie fills the hole with water. How much water will she need, assuming none of it soaks away? (iii) Marie is planning to paint the outside of the cylindrical pot excluding the top and bottom. Calculate the area to be painted
Using known formulas for cylinders, we will get:
i) 4,000.36 cm^3ii) 4,000.36 cm^3iii) 1,142.96 cm^2.Working with cylinders:
We know that the pot has a diameter of 10cm and a height of 21 cm, and the hole must be 4 cm wider (so the diameter is 14cm) and 5 cm deeper (so the height is 26cm).
i) The volume of a cylinder of radius r and height H is given by:
V = pi*r^2*H
Where pi = 3.14, and the radius is half the diameter, so we have:
r = 14cm/2 = 7cm.
Then the volume is:
V = 3.14*(7cm)^2*26cm = 4,000.36 cm^3
ii) To fill a volume of 4,000.36 cm^3, you need 4,000.36 cm^3 of water.
iii) The curve surface of a cylinder is given by:
S = 2*pi*r*H
Remember that:
r = 7cm
H = 26cm.
Replacing that we get:
S = 2*3.14*7cm*26cm = 1,142.96 cm^2
So se must paint an area of 1,142.96 cm^2.
If you want to learn more about cylinders, you can read:
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Consider these scenarios. 1. An elephant weighs 1. 5 × 104 units. 2. A mouse weighs 2. 13 × 10-5 units. 3. A puppy weighs 1. 2 × 102 units. Determine the unit of measurement that best represents each scenario. 1. 2. 3.
An ounce unit will best represent each scenario.
The average weight of an elephant is around 3000-4000 kg.
The average weight of a mouse = 15-20 grams
The average weight of a puppy = 25-30kg
It is given that
Weight of the elephant = [tex]1.5 * 10^5[/tex] units ≈150000 units
Weight of the mouse = [tex]6.3*10^2[/tex] units ≈630 units
Weight of the puppy = [tex]1.2*10^3[/tex] units ≈1200 units
What is the relation between an ounce and a kg?1 ounce = 0.0253495 kg
150000 ounces = 3800kg, near to actual value
630 ounces = 16kg, near to actual value
1200 ounces = 30kg, near to actual value
Therefore, an ounce unit will best represent each scenario.
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Sam's height is 15 centimeters less than 2 times Martha's height. If Sam is 185 centimeters tall, and Martha's height is x, the relationship between the heights can be represented by the equation 2x-15=185. What is Martha's height?
Answer:
Step-by-step explanation:
If Sam is 185 centimeters tall, and Martha's height is x, the relationship between the heights can be represented by the equation 2x − 15 = 185. What is Martha's height? A:90.
10 small and 8 large cost $192. 20 small and 1 large cost $99. What is cost of a small
Vhat is cost of a large?
Answer:
Step-by-step explanation:
small=s, s=3.99
large=l, l=19.20
10s+8l=192.20
20s+l=99
we can see that in the second equation, 20s+l=99
l=99-20s
lets replace l in the first equation
10s+8(99-20s)=192.20
10s+792-160s=192.20
-150s=-792+192.20
150s=599.80
s=3.99
l=99-20(3.99)=99-79.80=19.20
Answer:
19
Step-by-step explanation:
You can set up a system of equations.
x=small, and y = large.
10x+8y=$192
20x+1y=$99
you can multiply the first equation by -2 to get rid of x:
20x+1y=$99
-20x-16y=-$384
when you combine them, you get:
-15y=$-285
you can divide by -15 and you get:
y=19, so 1 large equals $19
What would the equation be for the points (0,-2) and (2,6) be? (SLOPE INTERCEPT FORM y=mx+b)
Answer:
Slope m=4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
We have A(0,-2)->x1=0, y1=-2
B(2,6)->x2=2, y2=6
The system of equations y=-2x+3 and y= x is graphed.What is the solution to the system of equations?
Answer:
(1,1) x=1 y=1
Step-by-step explanation:
how do i write 35% of $96.88 and explain my work
Answer:
$33.91
Step-by-step explanation: Take 35% and change it to .35 now multiply 96.88 by .35 and you will get 33.908 round up to 33.91
Answer:
33.908
Step-by-step explanation:
To find the percentage of a certain number, you need to convert the percentage into its decimal form (0.35) and multiply it by the certain number. Then you'll have your answer!
0.35*96.88=33.908
33.908 is 35% of 96.88
Here's another example! Let's say you want to find 45% of.... 78!
45% is 45/100. The first step is to convert 45% into its decimal form. (45/100=0.45)
Then you multiply the decimal by the number you want to find the percentage of!
0.45*78=35.1
35.1 is 45% of 78!
I hope this helped :D
What is the 5th term of the geometric sequence -2,-8, -32, -128, ...?
Answer:
-512
Step-by-step explanation:
The common ratio is multiplying by 4, therefore 4 muliplyed by -128 is -512
According to the general equation for conditional probability, if P(AuB) = 5/7 and P(B) = 7/8, what is P(A| B)?
Answer:
P(AB) = 3/8
Step-by-step explanation:
You simply multiply P(AuB) by P(B)
3/7 * 7/8 = 3/8
Which of the following situations are equal to 50%? Select all that apply.
A) 3 out of 6
B) 9 out of 18
C) 9 out of 12
D) 16 out of 32
E) 42 out of 84
Answer:
A, B, D, E
Step-by-step explanation:
To find if something is equal to fifty percent, split the second number in half.
For example, lets use option D.
32/2=16
16 is the first number in the option, meaning it is 50%.
Lets use an example where it wouldn't work. In this case, option C.
12/2=6
6≠9
Meaning 9 is not 50% of 12.
Find the constants "a", "b", "c", "d" and "e" in a quartic ((a[tex]ax^(4)+bx^(3)+cx^(2)+dx+e = y[/tex]) WITHOUT USING DERIVATIVES
Given the points:
(1, 181/3)
(6,5)
(14,1)
(28, 6/853)
Answer:
question error
Step-by-step explanation:
try uploading the question again
The Woodman Firewood Company delivers natural firewood to homes in Manhattan,
They charge a certain amount per cord for firewood and a fixed amount for each delivery,
no matter how many cords are delivered. My bill from WFC last winter was $155 for one
cord of wood, and my neighbor's bill was $215 for one and one-half cords. What is the
charge for each cord of wood and what is the delivery charge?
Answer:
step by step and the dog got 10 fire wood
Estimating sums by tens
Answer:
4600
Step-by-step explanation:
4319=4300
299=300
4300+300=4600
Kangchenjunga, third highest mountain in the world, is 28,169 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations?
Answer: 29,481 feet
Step-by-step explanation:
Kangchenjunga= 28,169 feet above sea level
Dead Sea= 1,312 feet below sea level
Difference= ?
28,169+1,312= 29,481
how do u work this out
Step-by-step explanation:
use this equation
y = mx + c
m is the gradient
c is the y intercept
m is
m is rise/run
the line rises from 3 to 10
so rise is 7
the line runs from 0 to 3.5
so run is 3.5
m = 7/3.5
m = 2
c is
y-intercept is where the line is equal to x=0
that point is
(0, 3)
so y int is 3
c = 3
put back into equation
y = mx + c
and comment your answer
please mark brainest
3(2x+1)(4x+1) Which of the following is equivalent to the expression above?
A 45x
B 24x2 + 3
C 24x2 + 18x + 3
D 18x2 + 6
Solve the system of linear equations.
6x+2y=16
2x - y = 2
Do I put into point slope form??
Answer:
The simple answer, "Yes"
Answer:
Point slope form of the equations:
y = -3x + 8
y = 2x - 2
Solution to the system of equations:
(x, y) ==> (2, 4)
Step-by-step explanation:
6x + 2y = 16
2x - y = 2
6x + 2y = 16
2(2x - y = 2) ==> 4x - 2y = 4
6x + 2y = 16
4x - 2y = 4
10x = 20
/10 /10
x = 2
Now, we solve for y:
6x + 2y = 16
6(2) + 2y = 16
12 + 2y = 16
-12 -12
2y = 4
/2 /2
y = 2
(x, y) ==> (2, 2)
Point-slope forms:
6x + 2y = 16
-6x -6x
2y = -6x + 16
/2 /2
y = -3x + 8
2x - y = 2
-2x -2x
-1y = -2x + 2
/-1 -1
y = 2x - 2
Hope this helps!
How much greater is the sum of the interior angles of a decagon the song of the interior angles of a quadrilateral
Answer: 1080 degrees
Step-by-step explanation:
a family consumes 325 grams of sugar everyday if 3 kg is bought then how much of sugar is brought then how much will remain after a week
What is the volume of the shape?
[tex] \tiny\red{{\pmb{==========================================}}}[/tex]
Answer:
84km
Step-by-step explanation:
[tex] \sf \: \: \: \: \: \: = 7 \times 4 \times 3 \\ \sf = \underline \green8 \underline \green 4 \: km[/tex]
[tex] \tiny\purple{{\pmb{==========================================}}}[/tex]
#CARRYONLEARNING
===========
V = 7 × 4 × 3
V = 84 km
===========
-CallMeKi