Answer:
4
Step-by-step explanation:
Given the data:
X : 20,25,30,20,30
Mean absolute deviation :
Σ(x - xbar) / n
n = sample size = 5
xbar = ΣX / n = (20+25+30+20+30) /5
xbar = 25
((20-25) + (25-25) + (30-25) + (20-25) + (30-25)) / 5
We take the absolute values, hence, negative signs are ignored :
(5 + 0 + 5 + 5 + 5) / 5
20 / 5
= 4
(31 points) Wilson County School District consists of 2,548 students. The district decided to conduct a survey regarding their new dress code policy. Wilson County School District surveyed 479 of their students and found that 42% of those surveyed disliked the new dress code policy. What is the margin of error, assuming a 95% confidence level?
Answer:
+ or - 0.044
Step-by-step explanation:
The margin of error is 0.044.
What is a Margin of Error?A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.
The margin of error using this formula, where z is the critical value.
[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]
To determine a margin of error for a sample proportion,
Where n is the sample size and is the sample proportion, these assumptions must be true.
n t ≥ 10
n(1 - t) ≥ 10
Write the proportion of lead to significant as a decimal number first,
42%
= 0.42
Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.
⇒(479X0.42) 201.18
⇒ (479)(1 − 0.42)
⇒ 277.82
Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.
Determine the margin of error using this formula, where z is the critical value.
[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]
For a 95% confidence level, z = 1.96.
Substitute the values of z, n, and T into the formula for margin of error and evaluate.
[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]
ME ≈ 0.044
Hence, the margin of error is 0.044.
Learn more about margin of error here:
https://brainly.com/question/10501147
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Josephine has a glass pitcher in the shape of a rectangular prism. The pitcher dimensions are 5 inches long, 5 inches wide and 7 inches high. She fills 3 inches of the pitcher with sugar. How many cubic inches are left in her pitcher for lemonade?
Answer:
100 cubic inches
Step-by-step explanation:
If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.
Find how many cubic inches are left for lemonade by finding the volume
Use the volume formula, V = lwh
V = lwh
V = (5)(5)(4)
V = 100
So, there are 100 cubic inches left for lemonade
2
2. This system of equations has : y = -2x
y = -2x + 1
A. One Solution
B. Infinitely Many Solutions
C. No Solutions
Answer:
C. no solutions
Step-by-step explanation:
Both equations have a slope of -2, but have different y-intercepts. Therefore, the graphs of the equations are parallel, but don't coincide, nor do they intersect. So, there are no solutions
Please help :( ill give brainlest
Answer:
I think for this one it is D.
Step-by-step explanation:
(3a - 6b + 12) - (6a - 2b + 7).
Answer = −3a − 4b + 5
A tv costs £1300. Work out the price after a 4.2% price increase.
Answer:
HII
1
Step-by-step explanation:
Simplify the following expression log(x^2)-log(x)
Answer:log a - log b = log (a/b) than use this formula will get
log x^2 -log x = log (x^2 /x) = log x
so answer is log x
Step-by-step explanation:
You are playing a game using this spinner. You get one spin on each turn. Provide a probability model.
Answer:
THE ANNOYING ORANGE THE ANOYING ORANGE THE ANNOYING ORANGE THE ANNOYING ORANGE!!!!!!!
Step-by-step explanation:
Answer:
1:4 is the ratio
Step-by-step explanation:
2:8 simplified is 1:4
not sure if this is exactly the right answer but I hope it helps
A marble is picked at random. Without putting the first marble back, a second marble is picked at random. Find the probability that first marble picked is green and second marble picked is red. Write your result as a percentage.
Answer:
Probability = 1/5 = 20%
Step-by-step explanation:
Prob (1st marble green) = Green Marbles / Total Marbles = 3/6 = 1/2
Pr (2nd marble red), without replacement = Red Marbles / Left Total Marbles = 2/5
Prob (1st marble green, & 2nd marble red) = 1/2 x 2/5 = 1/5
Prob in percent = 1/5 x 100 = 20%
HELP ME PLZ AN DTHANK YOU
Answer:
6(2 + 2/3x) = 12 + 4x
Step-by-step explanation:
...............
Answer:
6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x
Step-by-step explanation:
Note that
6 × [tex]\frac{2}{3}[/tex] = 4
Then
6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression
is anyone have the answer to 9,576,984.9874 x 98.84
Answer:
946589196.155
Step-by-step explanation:
Hope that helps
Please help thanks!!!
Answer:
Parallelogram
Step-by-step explanation:
Mrs. Johnson's baby weighed exactly 8 lbs. 3 oz. when he was born. Now, two months later, he weighs exactly 10 lbs. How much weight has he gained since he was born? State your answer in ounces.
Please answer fast!!
Answer:
The baby gained 29 oz.
Step-by-step explanation:
1 pound is equal to 16 oz (ounces).
10 pounds is equal to 10 x 16 oz = 160 oz.
8 pounds and 3 oz is equal to (8 x 16) + 3 = 128 + 3 = 131 oz.
160 oz - 131 oz = 29 oz.
The baby gained 29 oz.
If this helps please mark as brainliest
Would you help me solve this question with steps? It would really help, and thank you.
5x + 3y = 6
Answer's too short so here's some extra text.
Ayoub is driving to France for his holiday.
He will drive a total distance of 300 miles. Ayoub sets off at 07:15.
It takes him 2.5 hours to travel the first 125 miles.
Use this information to estimate the time Ayoub will arrive.
Answer:
10:30 hours
Step-by-step explanation:
Total distance=300 Miles, Start Time=07:15
Distance travelled so far is 125 miles for 2.5 hours
First we need to calculate Ayoub's speed as follows
Speed=Distance/Time
=125miles/2.5hour
=50 miles/hr
The calculate the remaining distance
=300-125
=175 Miles
Assuming that Ayoub Travels in the same speed at the first 300 miles, the time he will use to cover the remaining 175 miles is
Time=Distance/speed
Substituting the values
Time=175/50
=3.5 hours
The time he will arrive at Paris is
07:15+03:30
=10:30 hours
In case you need such assistance in your homework message Tutor David on irenedavid at g mail dot com
Question 2
First calculate the time taken to travel from woodpine to Westray
Time=Distance/ Speed
=32.5/65
=0.5 hours or 30 minutes
Next we calculate the average speed
Average speed is calculated by taking the total distance divided by total time taken
Total distance =32.5+100
=132.5KM
Total time=2+0.5
Average speed=132.5/2.5
=53km/
Help me plssssssssssss.
Answer:
5
Step-by-step explanation:
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Answer:
hihi
Step-by-step explanation:
Answer:
inspiringwords love it so much
Step-by-step explanation:
Find the value of x number on top is 6 and other is 9
Answer:
x = - 12, 3
Step-by-step explanation:
By tangent secant theorem:
[tex]x(x + 9) = {6}^{2} \\ \\ {x}^{2} + 9x = 36 \\ \\ {x}^{2} + 9x - 36 = 0 \\ \\ {x}^{2} + 12x - 3x - 36 = 0 \\ \\ x(x + 12) - 3(x + 12) = 0 \\ \\ (x + 12)(x - 3) = 0 \\ \\ x + 12 = 0, \: \: x - 3 = 0 \\ \\ x = - 12, \: \: x = 3 \\ \\ [/tex]
the cost of fun for kids magazine for x number of months is shown below
The cost (C) of another magazine, Family Fun, for x number of months is
given by C-1.99x.
The cost of another magazine, Kidz Comics, is $1.85 for each month. The
annual subscription includes a delivery charge of $10, while the annual
subscription for Fun for kids and Family Fun has no such extra charge
Which annual subscription costs the most?
Answer:
Kidz comic costs the most
Step-by-step explanation:
Given
Family Fun
[tex]C(x) = 1.99x[/tex]
Kidz Comics
[tex]m = 1.85[/tex] --- monthly rate
[tex]b = 10[/tex] --- delivery charge
Required
Which is more expensive
A linear function is represented as:
[tex]f(x) = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex] --- i.e. the base charge
So, for Kidz comic; We have:
[tex]f(x) = mx + b[/tex]
[tex]C(x) = 1.85x + 10[/tex]
To calculate the annual cost, we set x = 12; i.e. 12 months.
So, we have:
[tex]C(x) = 1.99x[/tex] ---- Family Fun
[tex]C(12) = 1.99 * 12[/tex]
[tex]C(12) = 23.88[/tex]
[tex]C(x) = 1.85x + 10[/tex] --- Kidz comic
[tex]C(12) = 1.85*12 + 10[/tex]
[tex]C(12) = 22.2 + 10[/tex]
[tex]C(12) = 32.2[/tex]
By comparison
[tex]32.2 > 23.88[/tex]
Hence, Kidz comic is more expensive
if tanθcscθ = 3, find the value of cosθ
Answer:
1.5
Step-by-step explanation:
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Let's Solve :
[tex] \tan( \theta) \csc(\theta) = 3[/tex][tex] \dfrac{ \sin(\theta) }{ \cos(\theta) } \times \dfrac{1}{ \sin(\theta) } = 3[/tex][tex] \dfrac{1}{ \cos( \theta) } = 3[/tex][tex] \cos(\theta) = \dfrac{1}{3} [/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Please answer the following question:
Answer:
99 cm²
Step-by-step explanation:
1/2 BH
1/2 18 x 11
9 x 11
99
1.99 divided by 3 to the nearest cent.
Answer:
nearest tenth?
Step-by-step explanation:
your answer would be .663
Simplify to the tenth would be make it .7
Need help finding the length of AC
Answer:
I would have to say that the length of AC is 22.5
Find the sine of ZI. J 21 D I Write your answer in simplified, rationalized form. Do not round.
Please help !!!!!!
Clare is deriving the quadratic formula by solving ax^2+bx+c=0 by completing the square.
She arrived at this equation:
(2ax+b)^2=b^2-4ac
Briefly describe what she needs to do to finish solving for I and then show the steps.
Answer:
Clare starts with:
a*x^2 + b*x + c = 0
And she gets to:
(2*a*x + b)^2 = b^2 - 4*a*c
Now we want to show the final steps to solve the equation (isolating x)
First, we apply the square root to both sides:
[tex]\sqrt{(2*a*x + b)^2} = \sqrt{(b^2 - 4*a*c)}[/tex]
Because the square root has two solutions, (one negative and one positive), we will write:
[tex]2*a*x + b = \pm \sqrt{b^2 - 4*a*c}[/tex]
Now we subtract b in both sides:
[tex](2*a*x + b) - b = \pm \sqrt{b^2 -4*a*c} - b[/tex]
[tex]2*a*x = \pm \sqrt{b^2 -4*a*c} - b[/tex]
Now let's divide by 2*a in both sides:
[tex]2*a*x/(2*a) = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
[tex]x = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
what is the area of the trapezoid
Answer:
A=2132
Step-by-step explanation:
Solution
A=a+b/ 2h=44+8/ 2·82=2132
3a-2b=14. 3a+2b=28
..
Answer:
a = 7
b = 3 1/2
Step-by-step explanation:
if you add the equations together then the 'b' will zero out
6a = 42
a = 7
substitute 7 for 'a' to solve for 'b'
3(7) - 2b = 14
21 - 2b = 14
-2b = -7
b = 7/2 or 3 1/2
what is the surface area of a rectangular prism if the length is 14.5 square inches, the width is 11 square inches, and the height is 2 square inches?
PLEASE HELP ITS DUE TODAY
Find the length of each arc. Round your answers to the nearest tenth.
A) 127.2 yd
C) 102.4 yd
B) 7.1 yd
D) 56.5 yd
Answer: 7.1 yd
Step-by-step explanation:
the formula for arc length is 2πr(x/360), x being the central angle
input the values, so the equation would be 2π9(45/360), which equals 7.1
I haven’t done this since 7th grade sorry I just don’t remember