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.
Who every can answer this I will give brainliest!! Please help!
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.
What is the area of the rectangle
Answer:
B) [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Area of a rectangle formula:
A = bh
Given:
b = [tex]2\frac{1}{2}[/tex]
h = [tex]1\frac{1}{2}[/tex]
Work:
A = bh
A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]
A = [tex]\frac{15}{4}[/tex]
Work out the area of triangle ABC
2 root 5 cm
3 root 2 cm
What does 123 times 504 equal?? I am just soooo curious about this... ;)
Answer:
61992
Step-by-step explanation:
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]123 \times 504 \\ = 61992[/tex]
Preciso de ajudar nessa questão que segue em anexo.
Answer: $85
Step-by-step explanation:
Não falo português mas tentarei ajudar.
Multiplique 6 2/3 e 3 1/7.
6 2/3 x 3 1/7 = 20 20/21
Dividir 20 20/21 e 5.
20 20/21 / 5 = 4 4/21.
Precisa de cinco latas de tinta.
5 x $17 = $85
What is the slope of the line?
Answer:
the slope is 7/4
Step-by-step explanation:
Timed Test
Which type of discontinuity occurs at x = 5?
Answer:
D
Step-by-step explanation:
Based off of previous responses and my incorrect answer, I am going to say the answer is D.
Answer: d
Step-by-step explanation: edge
how do you find the height of a triangle (to calculate area)?
Answer:
The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:
Height of the triangle = 10.392And the area of the triangle is:
Area of the triangle = 31.176 units^2Step-by-step explanation:
When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:
(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:
(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2Now, we can replace the values in the formula obtained:
(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2(adjacent leg)^2 = 12^2 - 6^2(adjacent leg)^2 = 144 - 36(adjacent leg)^2 = 108Now, as we just need the adjacent leg, we take the square root of both sides:
adjacent leg = [tex]\sqrt{108}[/tex]adjacent leg = 10.392 approximately.Now, with these data, we can find the area of the triangle with the next formula:
Area of a triangle = (base * height) / 2And we replace the measurements:Area of a triangle = (6 * 10.392) / 2Area of a triangle = 31.176As the image does not contain units, it would be simply this number, however, you should know that the area units are usually given squared, for example: in^2 or ft^2.
100 ÷ 10 • 2 • 4 ÷ 2
40
0.625
20
10
Answer:
40
Step-by-step explanation:
100/10*2*4/2
10*2*4/2
20*4/2
20*2
40
If this helps please mark as brainliest
Answer:
40
Step-by-step explanation:
100/10=10
10*2=20
20*4=80
80/2=40
At noon three students, Abby, Ben, and Cassie, are standing so that Abby is m west of Ben and Cassie is m east of Ben. While Ben stays in his initial position, Abby begins walking south at a constant rate of m/min and Cassie begins walking north at a constant rate of m/min. In how many minutes will the distance between Cassie and Ben be twice the distance between Abby and Ben?
Answer:
Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben. In minutes Abby will walk m and Cassie will walk m. The following diagram contains the information showing Abby’s position, , Ben’s position, , and Cassie’s position, , at time .
A right-angled triangle is formed by joining Abby's initial position to points A and B. Its hypotenuse is A B and its other sides are of length 100 and 20 times t. Another right-angled triangle is formed by joining Cassie's initial position to points C and B. Its hypotenuse is B C and its other sides are of length 160 and 41 time. Represent Abby, Ben and Cassie’s respective positions at noon as points on the -axis so that Ben is positioned at the origin , Abby is positioned units left of Ben at and Cassie is positioned units right of Ben at .
solution 2
Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben.
In minutes Abby will walk south m to the point . In minutes Cassie will walk north m to the pointTherefore, in
minutes ( minutes seconds), Cassie’s distance to Ben will be twice that of Abby’s distance to Ben. .
The tables show the number of hours students
studied and the number of questions answered
correctly on a quiz. Which table shows a
proportional relationship?
a letter in the word restoration is randomly selected. what is the probability of selecting a vowel
Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?
Answer:
14.14
Step-by-step explanation:
please find attached a diagram showing the stick and the jar
the length of the longest stick can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 10²
100 + 100 = 200
determine the square root of 200
= 14.14
Select the correct text In the passage. Which lines best demonstrate falling action in the passage?
Steven and James emerged from the trees and walked along a sloping open area to the river. The rippling river sparkled like diamonds in the sun, and the boys couldn't resist the urge to stop and soak up the scenery. They watched as tiny Insects danced a ballet across the water. As they rested their feet, both boys gazed north toward the unpredictable volcano il cd become so familiar with. It was magnificent, even with the usual cloud of steam rising above it. As they watched, though, they notice ething around them was changing. The cloud on the volcano's peak suddenly grew larger, and the ground began to shake beneath .. James said, "I wonder-" He didn't have time to finish the rest of his sentence. As they looked on in stunned silence, the top of Big White Peak suddenly exploded and erupted. For a split second, everything was soundless. Steven and James stared, mesmerized by a huge, dark cloud streaked with blue and orange flashes. Then, as the roar of the sound reached them, both boys jumped up and began to sprint back to their car. They scrambled up the rugged hillside, tripping over rocks and branches without stopping. "Look!" shouted James, looking over his shoulder as he ran. The cloud was growing larger, and it seemed to be coming toward them with a tremendous amount of speed. Steven didn't think they needed to be concerned about the cloud itself because the wind was blowing in the opposite direction and they were quite far from the crater. What he was worried ībout most , however, was that they might be caught in a flood. He hoped they could get away before the snow and ice from the Big White Peak melted in the heat of the eruption. The boys ran over the rugged terrain, glancing back nervously on the way to the car. As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain. In a matter of minutes, the grass and flowers were gone and the sparkling river had turned gray. Still numb with shock, they turned out of the park and onto the highway toward home.
Answer:
As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain. In a matter of minutes, the grass and flowers were gone and the sparkling river had turned gray.
Step-by-step explanation:
Answer:
As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain.
Step-by-step explanation:
Find the total surface area of the pyramid.
4 in.
6 in.
6 in.
Answer:96
Step-by-step explanation:
Okay first we would find the area of the triangle like we would for a regular square or rectangle right? LXW but we would divide by 2 for each of the triangle and add them up and then we’d do the bottom and this time no dividing by 2 just do LXW HOPES THIS HELPS
In a academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, school A starts with 165 points and gives the same number of correct and incorrect answers. School b starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the 2 schools as a tie
Answer:
20
Step-by-step explanation:
In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?
Let x = number correct answers
because school a , gives the same correct and wrong answers, their equation can be represented as :
165 - 5x + 12x =
165 + 7x
School b gives no wrong answer. their equation can be represented as
65 + 12x
to fing the number of correct answers given, equate the two equations
165 + 7x = 65 + 12x
collect like terms
165 - 65 = 12x - 7x
100 = 5x
x = 20
Luke listens to the three most popular songs on the radio this week. The length of each song is show #1 song: 3-minutes 2 1 57 #2 song: 2 minutes 60 3 #3 song: 4 minutes What is the length of the three songs altogether?
Answer:
help pls
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz.
pls...
3 x -2 x 4 x -3=
process !!!
Answer:
3 x -2 x 4 x -3 = 72.
What is the unit rate of 28 miles in 4 hours?
Answer: 7 miles per hour
Step-by-step explanation:
This is a fraction equal to 28 miles divided by 4 hours.
We want a unit rate where 1 is in the denominator, so we divide top and bottom by 4.
28 miles ÷ 4
____________
4 hours ÷ 4
= 7 miles
__________
1 hour
=
7 miles
_________
hour
= 7 miles per hour
Answer:
7 miles in 1 single hour
Step-by-step explanation:
28 / 4 = 7
21 / 3 = 7
14 / 2 = 7
7 / 1 = 7
PLSSS HELP ASAP WILL GIVE BRAINLIEST
Solve by completing the square: 5x² + 20x + 32 = 0
Answer:
5x2 + 20x + 32 = 0 - 16977324
Step-by-step explanation:
this is solid figure has six equal faces 12 edges and 8 vertices
A.rectangular prism
B.cube
C.cone
D.cylinder
Answer:
cube because it has six equal facwes
An automobile travels 471 miles in 8 hours.
What is the average speed of the automobile to the nearest mile per hour?
A. 45 mph
B. 50 mph
C. 55 mph
D. 60 mph
O E 65 mph
I’ll give brainliest if u answer with 30 mins
Answer:
30 mins
Step-by-step explanation:
In a group of 24 people, 10 study
Physics, 15 study Chemistry and
18 study at least one subject.
Find the number of people who
do not study any of the subject.
click the photo there is the answer
The first three terms of arithmetic progression are -5,-1 and 3.Find the six term.
Answer:
15
Step-by-step explanation:
The pertinent general formula for this arithmetic progression is
a(n) = a(1) + d(n - 1), where d is the common difference. That difference is d = 4.
Here, a(n) = -5 + 4(n -1)
Therefore, a(6) = -5 + 4(5) = 15
Answer:
It is 15.
Step-by-step explanation:
Alright, first lets find the pattern. Since its a arithmetic sequence, it has something to do with adding/subtracting.
With the values, -5, -1, and 3. Notice something about them? -1 is 4 more than -5 & 3 is 4 more than -1. There's a pattern! The pattern is that for every new term, it is 4 more than the one before it.
With this, we can make a table to find the 6th term!
(Given)
1st Term: -5
2nd Term: -1
3rd Term: 3
Now, continue adding 4 to each term...
4th Term: 7
5th Term: 11
6th Term: 15
For the 6th term, it has been found that the answer's 15.
5. Below is the data from randomly sampling 100 students in two different cities
regarding their favorite type of music.
City Pop Rock Rap Country
More students like rock in Hill than in Clark.
Hill
15
47
21
17
Clark 13
5
20
62
About the same number of students like rap in both cities.
е E
Which of the following inference can NOT be made based on the data above?
If more students were polled, the results would not change.
Most students like rock in Hill, but most students like country in
Clark.
Answer:
C
Step-by-step explanation:
3. For g(x)=5 and h(x)=2x, find lim (g(x)*h(x))
4. Find G(x)= X-10 And H(x)= 2x, Find ) G(x) = X-10 H(x) = 2x, Lim Lim C-3 C-2 2
Answer:
3. B 10a
4. D 3
Step-by-step explanation:
the value of function lim (g(x)*h(x)) will be 10 a.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, For g(x)=5 and h(x)=2x
[tex]\lim_{x \to \ a }(g(x)*h(x))[/tex]
=> lim (5 * 2x)
=> lim 10x
=> 10a
for G(x)= X-10 And H(x)= 2x,
g(x)/ h(x) = (x - 10)/2x
[tex]\lim_{x \to \ -2} g(x)/ h(x)[/tex]
=> (-2- 10)/-4
=> 3
therefore, the value of function lim (g(x)*h(x)) will be 10 a.
Learn more about function here:
https://brainly.com/question/21145944
#SPJ2
Question 17 of 25
What is the probability of flipping a coin 10 times and getting tails 8 times?
Round your answer to the nearest tenth of a percent.
O A. 4.4%
B. 1.0%
OC 20.5%
D. 11.7%
Answer:
B
Step-by-step explanation:
10 ÷ 8
=0.8
≈1% probability
help me with this plss
Answer:
175 AKA B
Step-by-step explanation:
40/8=5 5*35=175
find the LCM 72 ,216, 270
Answer:
1080
Step-by-step explanation:
72 = 2 × 2 × 2 × 3 × 3
216 = 2 × 2 × 2 × 3 × 3 × 3
270 = 2 × 3 × 3 × 3 × 5
LCM(72, 216, 270)
= 2 × 2 × 2 × 3 × 3 × 3 × 5
= 1080
==========================================
Explanation:
Write out the prime factorization of each value. A factor tree may help.
72 = 2^3*3^2216 = 2^3*3^3270 = 2*3^2*5The unique primes that show up are: 2, 3, 5
For the prime factor 2, the highest exponent is 3. So 2^3 is a factor of the LCM.For the prime factor 3, the highest exponent is 3. So 3^3 is a factor of the LCM.For the prime factor 5, the highest exponent is 1. So 5^1 is a factor of the LCMThe LCM is 2^3*3^3*5^1 = 8*27*5 = 1080