Complete question is;
Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.
Select all the true statements. Make your selections bold.
A. The median height of the sample must be between 59 and 63 inches.
B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.
C. The mean height of these 20 students is likely to be the same as the mean height of all students in the district.
D. The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.
E. Elena would be more likely to get an accurate estimate of the mean height of the population by sampling 40 people instead of sampling 20 people.
Answer:
Options A, B & E are true.
Step-by-step explanation:
We are told that Elena's mean absolute deviation is 2 inches.
This means that the distance between each data point and the mean is equal to 2. This value gives us a good idea about the variability present in the dataset.
This is calculated from the difference between the mean of the absolute value of the initial mean and each data set.
Now, looking at the options. In option A, since mean height of the 20 students is given as 61, it means the median will be close to that figure too. Thus, between 59 and 63 inches given is appropriate.
In option B, if another random sample is taken, the mean would likely be close to 61 too since the MAD is 2.
Thus range given is okay.
In options C & D, there is no evidence to prove that the new mean would be the same as the district or the second random sample. This, both options are not appropriate.
In option E, if she uses a Sample of 40, she will obviously get a more accurate figure because the more the sample the more accurate the average result that represents the population.
How much change would you get from
£10 if you spent £1.43 and £1.115
Answer:
£7.455
Please mark as brainliest if answer is right
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PLEASE HELP!!!!!!!!!!!
A rectangle has a perimeter of 6 feet.
Choose all the possible dimensions of the rectangle.
A. 1 foot by 2 feet
B. 1 foot by 5 feet
C. 2 feet by 1 foot
D. 2 feet by 4 foot
E. 3 feet by 3 feet
F. 4 feet by 2 feet
G. 5 feet by 1 foot
Option (A) 1 foot by 2 feet and option (C) 2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.
What is a rectangle?"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".
For the above situation,
The length of the rectangle be 'l'
The breadth of the rectangle be 'b'
Perimeter of the rectangle, P = 2(l+b)
Option A : 1 foot by 2 feet
Here, l = 1 feet and b = 2 feet
⇒ [tex]P=2(l+b)[/tex]
⇒ [tex]P=2(1+2)\\[/tex]
⇒ [tex]P=6[/tex]
This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.
Option B : 1 foot by 5 feet
Here, l = 1 and b = 5 feet
⇒ [tex]P=2(1+5)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.
Option C : 2 feet by 1 foot
Here, l = 2 and b = 1 feet
⇒ [tex]P=2(2+1)[/tex]
⇒ [tex]P=6[/tex]
This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.
Option D : 2 feet by 4 foot
Here, l = 2 and b = 4 feet
⇒ [tex]P=2(2+4)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.
Option E : 3 feet by 3 feet
Here, l = 3 and b = 3 feet
⇒ [tex]P=2(3+3)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.
Option F : 4 feet by 2 feet
Here, l = 4 and b = 2 feet
⇒ [tex]P=2(4+2)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.
Option G : 5 feet by 1 foot
Here, l = 5 and b = 1 feet
⇒ [tex]P=2(5+1)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.
Hence we can conclude that option (A) 1 foot by 2 feet and option (C) 2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.
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Solve for t.
3t- 2 = -11
A. -12
B. -11
C. -9
D.-3
Answer:
T = -3
Step-by-step explanation:
No explanation needed ...
enter the coordinates of the point on the unit circle at the given angle 180 degrees
The coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
What is a unit circle?A unit circle is just a circle that has a radius with a length of 1. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.
The given drawing is the graph of the unit circle on the X – Y Coordinate Axis.
It can be seen from the graph, that the unit circle is defined as having a Radius ( r ) = 1.
Going from Quadrant I to Quadrant IV, counter clockwise, the Coordinate points on the axis of the unit circle are:
(1, 0), (0, 1), (-1, 0), and (0, -1)
This is important to remember when we define the X and Y Coordinates around the unit circle. The Unit Circle has 360°. In the given graph, the Unit Circle is divided into 4 Quadrants that split the unit circle into 4 equal pieces. Each piece is exactly 90°.
From the diagram we can clearly say that the coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
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What is the solution to the following system of equations
5x + 4y = 40 6x + 4y =44
Answer:
X=4, y=5
Step-by-step explanation:
5x + 4y =40 equation 1
6x + 4y =44 equation 2
-1(5x + 4y)=-1(40) multiply equation 1 by -1 so equation will eliminate y
-5x - 4y=-40 modif equation 1
6x + 4y= 44 equation 2
x=4. Add above 2 equations
solve for y:
5x + 4y =40
5(4)+4y=40
20+4y =40
4y=20
y=5
check solution ;
6x+4y=44
6(4) + 4(5)=44
24 + 20=44
44=44
If your car gets 22 miles per gallon of gasoline, how far
could you drive if your car has 10 gallons of gas in it?
Mark's father travels 463 miles every month for his job. How many miles does he travel in 8 months? A 3,204 miles B 3,284 miles 3,604 miles D 3.704 miles
Answer:
D 3,704
Step-by-step explanation:
Answer:
the answer is 3,704
Step-by-step explanation:
wouldn't you just multiply 483 by so the answer is 3,704
A cow is tethered with a rope 20 m long. What is the maximum area the cow can graze? with a decimal
Karen's garden measures 4.8 feet wide and 19.32 feet long. What is the area of her garden in square feet?
Answer:
92.736
Step-by-step explanation:
A = L* W
A = 4.8 * 19.32
A = 92.736
Help me with this please!!!!!!
Answer:
4√6
Step-by-step explanation:
cot60➜4√2/t
➜1/√3=4√2/t
➜t=4√2√3
➜t=4√6
Answer:
[tex]2\sqrt{2}[/tex] = t
Step-by-step explanation:
Sin(30) = t / [tex]4\sqrt{2}[/tex]
Sin(30) * [tex]4\sqrt{2}[/tex] = t
[tex]2\sqrt{2}[/tex] = t
Hope this helps!
please help me!!!! i’m so bad a mathhhh
Answer:
22x^2+21x+10
brainliest?
Step-by-step explanation:
Answer:
The 4the bubble
Step-by-step explanation:
It is pretty much combining like terms. 22x² is alone since there is no other variable that has an x², so it will be left alone. However, there is 14x and -7x, they both have an x, so that makes them like terms. Combine those and you get 14x minus 7x which is 7x. The number 10 has no other like term to combine with so it can be left alone as well, so just put them all together in the end (simplify). Which would be 22x² + 7x + 10
HIII can some one please HELP ME !!!!
Answer:95
Step-by-step explanation:
Please help asap first correct answer will get the brainly crown
25x-22.5=12x+22.5+2x
7x7x7 x 7 7 can be simplified to:
A 57
B 75
C 7x5
D 75
E 77 777
Answer:
77777
is correct answers
61, 21, 80, 46, 37, 70, 59, 65, 46, 39, 17, 87, 3, 10 Calculating the Mean, Median, Mode and Range of Data
Answer:
Mean: 45.8 (rounded to the tenth place)
Median: 46
Mode: 46
Range: 84
Step-by-step explanation:
Solve for the missing side. Round to the nearest tenth.
HELP MEEE PLS ):
Answer:
b² = 13.2
Step-by-step explanation:
5.8²+b²=14.4²
33.64+b²=207.36
-33.64 -33.65
b²= √173.71
b² = 13.1799089526
b² = 13.2
Solve for x! Please try and show work. ANSWER ASAP SCAM ANSWERS WILL BE REPORTED. Also will award brainliest to CORRECT answer
Answer:
x = 12 degrees
Step-by-step explanation:
m < LNM = (70+136)/2
= 206 / 2
= 103 degrees
So 7x + 19 = 103
7x = 103 - 19 = 84
x = 84/7
x = 12.
A ball and a bat cost £90 in total. Three balls and two bats cost £210 in total. How much
does a bat cost?
Submit Answer
Answer: 60
Step-by-step explanation:
ball =x
bat = y
x + y = 90
and
equation II is
3 x + 2 y =210
By multiplying by 3 to equation I both sides
we get equation III as
3( x + y) = 3 ( 90 )
3x + 3y =270 III
subtract II and III
we get 3x+3y=270
- 3x+2y=210
--------------------------
0+y= 60
y =60
cost of bat is y ie = 60
and cost of ball ,is
let put value of y in equation I
x+60=90
x=90-60
x=30
cost of ball is 30
Solve to get the value of h
PLEASE HELP
I am quite confused
The height of a diver above the water is given by the quadratic function h(t)= -5t^2+5t+10, with t in seconds and h(t) meters. When will the diver reac maximun height
Answer:
0.5 seconds
Step-by-step explanation:
Equation: h(t) = -5t²+5t=10
Where h(t) is in meter, t is in seconds.
The driver will reach maximum height when d[h(t)]/d(t) = 0
From the equation,
d[h(t)]/d(t) = -10t+5
Therefore,
-10t+5 = 0
Solve for t
-10t = -5
10t = 5
t = 5/10
t = 0.5 seconds.
Hence the height will be maximum in 0.5 seconds.
Please help! I will give Brainliest!
Who is correct?
Stem-and-leaf plots provide a way to graphically compare data, unlike histograms. However, they are more difficult to construct. B. Stem-and-leaf plots can compare quantitative data to qualitative data, unlike histograms. However, they are not very useful for large data sets. C. Stem-and-leaf plots are easier to make and can contain more information than histograms. However, they are not very useful for large data sets. D. Stem-and-leaf plots are more useful for large data sets and can display more information than histograms. However, they are more difficult to construct.
Question:
Discus the advantages and disadvantages of histograms versus stem-and-leaf plots
Answer:
C. Stem-and-leaf plots are easier to make and and can contain more information than histograms. However, they are not very useful for large data sets
Step-by-step explanation:
A stem and leaf plot is a graphical presentation of quantitative data similar to an histogram. However, a stem and leaf plot retains and present the values of the original in the data set such that individual data values can be seen and can then be used to make analysis
The stem and leaf plot consists of a stem and a leaf arranged in the order of place value, such that the numbers having a common highest place value are arranged on a row in a stem and leaf plot and therefore a stem and leaf plot is easier to make or construct than an histogram
However, it is very rare to find stem and leaf plots having more than 50 datasets or observations.
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?
Given:
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).
To find:
The y-coordinate of the midpoint of line segment YZ.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:
[tex]Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)[/tex]
[tex]Midpoint=\left(2,-1\right)[/tex]
Therefore, the y-coordinate of the midpoint of line segment YZ is -1.
One fourth of a square pizza is 9 slices solve the equation 1/4s =9 to find how many slices are in the pizza. PLZ help
Answer: There is a total of 36 slices of pizza.
Simplifique:
a) 0,027^1/3
b)16^1/25
c)4^0,5
d)27^0,333...
Answer:
a) 0.3.
b) 1.117287138 to 9 dec. places.
d)3.
Step-by-step explanation:
a and d: the powers 1/3 and 0.333... is the cube root.
c: 0.5 = the square root.
b is found using a calculator
Please help serious answers only
Answer:
[tex](-9.5,2.63)[/tex]
Step-by-step explanation:
In essence, this problem asks one to find the vertex of the given equation. An easy way to find the vertex of a quadratic equation in standard form is to complete the square.
Completeting the square involves grouping the quadratic and linear term, then factoring out the coefficient of the quadratic term. After doing so, one will add a term to make the grouped terms a perfect square trinomial and then balance the equation. Finally, one will simplify the equation and get the quadratic equation in vertex form. From there, finding vertex is quite easy, the x-coordinate is the additive inverse of the quadratic term, and the y-coordinate is the constant.
Once a quadratic equation in standard form has been converted to vertex form by the process of completing the square, its equation is amongst the lines of the following,
[tex]a(x-k)^2+h[/tex]
(k, h) is the vertex of the parabola.
The quadratic equation in standard form,
[tex]2x^2+19x+42.5[/tex]
Group the quadratic and linear terms,
[tex](2x^2+19x)+42.5[/tex]
Factor out the coefficient of the quadratic term,
[tex]2(x^2+9.5x)+42.5[/tex]
Add a term to make the grouped part a perfect square trinomial, then balance the equation,
[tex]2(x^2+9.5x+22.5625)+42.5-2(22.5625)[/tex]
Simplify,
[tex]2(x^2+9.5x+22.5626)+42.5-45.125[/tex]
[tex]2(x+9.5)^2+2.625[/tex]
The vertex of the equation is the following,
[tex](-9.5,2.625)[/tex]
Rounded,
[tex](-9.5,2.63)[/tex]
a ramp measures 6 feet long. if the ramp is 12 inches tall, what is the horizontal distance it covers? i'll give brainliest to whoever answers first/correctly!
we know that
1 ft--------> is equals to 12 in
the ramp is 12 inches tall----------> 1 ft tall
A ramp measures------------------> 6 ft long
applying the Pythagorean theorem
c²=a²+b²
where
c-----> 6 ft long
a----> horizontal distance
b-----> 1 ft tall
a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft
the answer is
5.92 ft
Answer:
6.08 or so
Step-by-step explanation:
The height is 1 foot, while the length is 6 feet.
You can use the Pythagorean Theorum to solve this, as you plug in the values.
The theorum states that A squared plus B squared = C squared, where A is the length, and B is the width. (It doesn't matter if A is the width and B is the length either.)
So if we plug in the values:
1 squared plus 6 squared = C squared.
1 + 36 = 37
Since it is C squared, we can find the square root of 37, which is something like 6.0827625302982196889996842452021.
So usually we round to the hundredths place, so we can use 6.08.
Find the indicated measure. Assume that lines which appear to be diameters are diameters.
Answer:
The measure of the angle is 120 degrees
Step-by-step explanation:
Here, we want to find the measure of the angle
Mathematically, the sum of angles at a point ( the center of the circle in this case) is equal to 360 degrees
We have the measures 150 degrees and 90 degrees; by adding this two and subtracting from 360, we will have the measure of the the marked angle
Thus, we have this as;
360 - (150 + 90)
= 360-240
= 120