Answer:
Interpreting the results:
a) At least 99.3% of the data lies between 12 standard deviations of the mean
b) The data lies between points 0 and 168
Step-by-step explanation:
The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 5 points. Apply chebychev's theorem to the data using k= 12 interpret the results
Chebychev's theorem states that:
At least 1 - 1/k² data lies between k standard deviation of the mean
μ ± kσ
Where k is a positive number greater than 1
From the question above
μ = Mean = 84 points
σ = Standard deviation = 5 points
Hence: k = 12
We have:
1 - 1/12²
= 1 - 1/144
= 144 - 1/144
= 143/144
= 0.9930555556
Approximately = 99.3%
Interpreting these results means that At least 99.3% of the data lies between 12 standard deviations of the mean
Hence,
μ - kσ
84 - 12 × 7
= 84 - 84
= 0
μ + kσ
84 + 12 × 7
= 84 + 84
= 168
Hence, the data lies between points 0 and 168
Round 729 to the nearest 100
Answer:
700
Step-by-step explanation:
700
3 pounds cost $15. How many pounds can you buy for $45?
Answer:
you can buy 9 poundssss
On the graph, the line representing Xena’s rate is less steep steeper than the line representing Steve’s ?
Answer:
The steepness shows how much the variables on the graph has changed and their rates.
what is 500 divided by 10
The school is using a bus to go on a field trip. The bus has 40 seats that each fit 2 people. How many busses would be needed to transport 560 students?
Answer: 7 buses
Step-by-step explanation:
hope this helps!
Which descriptions from the list below accurately describe the relationship between AQRS and ATUV? Check all that apply. 284 -28 12 12 76" 176 176 1764 6 V Q A. Same sides B. Same size C. Similar D. Congruent
Answer:
All A to D
Step-by-step explanation:
The attachment completes the question
From the attachment,
it can be seen that QRS and TUV are of the same i.e. trianglesAlso, from the attachment, the sides of each are:
[tex]RQ = UT = 22[/tex]
[tex]QS = TV = 30[/tex]
[tex]RS = UV = 23[/tex]
And the angles are:
[tex]\angle Q = \angle T = 50[/tex]
[tex]\angle R = \angle U = 83[/tex]
[tex]\angle S = \angle V = 47[/tex]
The above show that QRS and TUV are:
similarsame sidesand they are congruentplease help me brainliest for correct answer the sides of a triangle are as follows; (3x - 2), (-5x) and (8x + 7). what is the expression of the perimeter?
Answer:
Perimeter = 6x + 5.
Step-by-step explanation:
The perimeter is the sum of the three sides.
Perimeter = 3x - 2 + (-5x) + 8x + 7
= 3x - 2 - 5x + 8x + 7
= 3x - 5x + 8x - 2 + 7
= 6x + 5.
Can you please help due at 1130
Answer:
y-8 = 5(x+3)
Answer:
y+3=-5(x-8)
Step-by-step explanation:
BRAINLIEST TO THE RIGHT ANSWER!! PLEASE HELP ASAP!
(needs to be an equation btw)
What is the area of the trapezoid?
Answer:
A=30
Step-by-step explanation:
A=a+b
------- x h
2
3+7
------- x 6
2
10/2=5
5 x 6 = 30
A circular mirror measures 24 cm in diameter.
The cake is cut in half. Work out the perimeter of half of the mirror.
Answer:
The perimeter or circumference of a half mirror = 37.68 cm
Step-by-step explanation:
The diameter of circular measure = 24 cmWe know that the perimeter of a circular shape is called the 'circumference', with the formula
Circumference of a circle = C = 2πrWhen the mirror is cut into half, the diameter gets half as well.
Thus, the diameter of a half mirror = 24/2 = 12 cmWe know that radius = r = diameter / 2 = 12/2 = 6 cm
Thus, the perimeter of half of the mirror = C = 2πr
= 2(3.14)6
= 37.68 cm
Therefore, the perimeter or circumference of a half mirror = 37.68 cm
2. What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the
initial deposit is $1000?
O $1300.50
N.
O $1020.11
O $1012.52
O $1348.07
Answer:
You deposit $1000 in a savings account that earns ... Balance at. End of Year. = Principal + Annual. Interest. = $1000 + $1000(0.06) ... balance in an account that earns interest compounded annually after t years. P = Principal (initial deposit) ... 15. 4.8. —. 12. 16. 268.68 ⋅72. 17. MULTIPLE CHOICE Which graph represents ...
Step-by-step explanation:
Find the value of x.
540
x
1420
Answer:
x=88 degrees
Step-by-step explanation:
the angle opposite x and 54 is 38 degrees. if one angle is 54, one is 38, add those together, subtract from 180 and you get 88.
find Sp if Mp: Rs 650 & dis 2.5%
Answer:
Mp= Rs 650
Dis= 2.5
Sp=?
Now,
Dis=Mp-Sp
Sp=Mp-Dis
=650-2.5
=647.5
Answer:
answer is 633.75 Rs.
Step-by-step explanation:
650- 2.5/ 100× 650 650-16.25 = 633.75 RS. the selling price of the item is 633.75 Rs
HELP 60 PTS Write ln (a^2 b^3)/cd in expanded form. SHOW ALL WORK TO RECEIVE CREDIT.
Answer:
the expanded form is (a^2 b^3)/cd = 0
Step-by-step explanation:
Answer:
2ln a + 3ln b - ln c - ln dStep-by-step explanation:
Expanding the given expression:
ln (a^2 b^3)/cd =ln a^2 + ln b^3 - ln cd =2ln a + 3ln b - ln c - ln dIt costs $11 to rent a canoe and $6.50 to use the canoe for an hour. You have $24. Write an equation that represents the number h of hours you can rent the canoe.
Answer: 11 + 6.50h = 24
You can ride on the canoe for 2 hours.
Step-by-step explanation:
24-11=13
13 divided by 6.50 is 2
So 11+6.50(2)=24
8> -1; Subtract 8 from both sides.
Answer:
0 > -9
Step-by-step explanation:
8 > -1
-8 -8
0 > -9
Which of the followin statements are true about the equation 10x + 45x - 13 = 11(5x + 6) *
Step-by-step explanation:
The given expression is :
10x + 45x - 13 = 11(5x + 6)
We can simplify it as follows :
Opening parenthesis on RHS
10x + 45x - 13 = 55x + 66
Taking like terms together,
55x-55x = 13+66
0 = 13+66
The given expression has no solution, as the variable cancels out woh each other. It is a meaningless expression.
3x-2y= 12
Linear Functions, please help, it’s on a test, and I’m about to fail this whole grade, thank you
Answer:
Slope: 3/2
y intercept (0,-6)
Step-by-step explanation:
3x-2y=12
First, solve for y
2y=12-3x
divide each term by -2 and simplify
y=-6+[tex]\frac{3x}{2}[/tex] or y=[tex]\frac{3}{2}[/tex]x-6
Slope intercept form: y=mx+b
therefor m =[tex]\frac{3}{2}[/tex] and y (0,-6)
An algebraic expression that contains variables is called
Answer:
An algebraic expression that contains variables is called coefficients.
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a 4-foot wall?
Answer:
16 tiles
Step-by-step explanation:
Divide the length of the wall by the width of one tile.
4 / 1/4 = 4/1 * 4/1 = 16/1 = 16
Answer: 16 tiles
Help me solve this problem please
Answer:
The second one .......
Jonah and his sister are going to the amusement park. They each purchase 2 tickets at $1.25 each. Then, they each get a soda for $3.50 a piece. How much did they spend all together?
Answer:
$12.00 all together.
Step-by-step explanation:
there is only 2 people him and his sister.
They both purchase 2 ticket for $1.25
so 4 tickets all together
1.25x4=$5
They they both get one soda for $3.50
$3.50+$3.50=$7
$7+$5=12
So they spent $12
expand and simplify 5(2x+1)-2(3x-6)
Answer:
4x + 17
Step-by-step explanation:
10x+5-2(3x-6)
10x + 5-6x+12
Plz help me
will give the brainliest!
Urgent!!!
Please answer correctly
Please help me!!
Step-by-step explanation:
1-a ,2-c,3_d
i thibk is you're answer
One hundred people are recruited for an experimental study to determine whether
exercising 30 minutes before lunch or 30 minutes after lunch will help improve heart health more. They will be split into two groups that do not necessarily need to be the same size. One group will exercise and then eat, and the other group will do the same exercises after eating instead. After a month, each person's heart health improvement will be assessed by the same doctor, and the groups will be compared. The participants' names will be on a numbered list based on the order in which they agreed to join the experiment.
Select all the methods that can be used to randomly assign people in the experimental study into two groups. (select multiple answers)
Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after
lunch
Participants are divided based on their birth month. Those born in January through June will exercise before lunch, and those born in July through December will exercise after lunch.
Participants choose which group to join based on convenience for their work or school schedule.
The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.
The odd-numbered people will be in the group that exercises before lunch, and the even-numbered
people will be in the group that exercises after lunch.
Answer:
B.) Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after lunch.
D.) The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.
Step-by-step explanation:
These are all the random ones I picked.
The two methods that can be adopted are Option 1 and 3
What do you understand by Random sampling ?Random Sampling is the sampling method where samples are chosen randomly.
each unit has an equal chance of being selected in a sample.
It is given that
One hundred people are recruited for an experimental study to determine whether
exercising 30 minutes before lunch or 30 minutes after lunch will help improve heart health more.
They will be split into two groups that do not necessarily need to be the same size
the methods that can be used to randomly assign people in the experimental study into two groups.
1. Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after lunch
2.The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.
Therefore Option 1 and 3 are the two methods that can be adopted.
To know more about Random Sampling
https://brainly.com/question/12719656
#SPJ2
PLEASE HELP!!!
Which of the following values could x represent in the bar diagram?
ABC or D?
9514 1404 393
Answer:
both C and D are correct
Step-by-step explanation:
The diagram shows that x is the total of $40 and 20% of $40.
Description A would be represented by the difference of $40 and 20% of $40, not the sum.
Description B would be represented by 20% of $40, not the sum of that and $40.
Both descriptions C and D are properly represented in the diagram.
On the first day, 8 adult tickets were sold and 13 student tickets were sold for a total of $75. On day two, 10 adult tickets were sold and 9 student tickets were sold for a total of $72. What is the cost of an adult ticket? What is the cost of a student ticket?
Answer:
Adult ticket = $4,5
Student ticket = $3
.
Step-by-step explanation:
Let say adult ticket is x and student ticket is y. so we get:
→ 8x + 13y = 75 (×5) 40x + 65y = 375
→ 10x + 9y = 72 (×4) 40x + 36y = 288
.
Eliminate both equations
40x + 65y = 375
40x + 36y = 288
29y = 87
[tex]y = \frac{87}{29}[/tex]
[tex]y = 3[/tex]
.
Substitute the value of y to one of equations
[tex]10x + 9(3) = 72[/tex]
[tex]10x + 27 = 72[/tex]
[tex]10x = 72 - 27[/tex]
[tex]10x = 45[/tex]
[tex]x = \frac{45}{10}[/tex]
[tex]x = 4,5[/tex]
.
Happy to help :)
Answer:
iwiwjjwjwjwjbba abaha ajajaj ajaj
Step-by-step explanation:
wjis sisi sjaijs aibaia aihwoh ha ajj w
April took out a $600 loan from the bank. At the end of 1 years, she pays back the principal, plus $12 simple interest. What was the interest rate?
Answer:
The interest rate r = 0.02 or 2%
Step-by-step explanation:
Given
P = $600
I = $12
t = 1 year
To determine
Interest rate = r
Using the formula
I=Prt
r = I / Pt
substituting I = 12, P = 600, t = 1
r = (12) / (600 × 1)
r = 12/600
r = 0.02
Thus, the interest rate r = 0.02 or 2%
Ed wants to build a small 800 square foot cabin on a lot that is 80 feet deep. If the building sideyard setbacks are 20 feet and the cabin is 20 feet wide, what is the square footage of the lot
Answer:
4800 ft²
Step-by-step explanation:
Given that :
Area of cabin = 800 ft²
Width of cabin = 20 feets
Side yard setback of building = 20 feets
Depth of lot = 80 feets
The cabin is a rectangle :
Area of rectangle = Length * Width
800 = length * 20
Length = 800 / 20 = 40 feets
Hence,
Width of lot = side yard + Width of cabin = (20 + 20) = 40 feets
Length of lot = depth +. Length of cabin = (80 + 40) = 120 feets
Area of lot = Length of lot * width of lot
Area of lot = 120 ft * 40 ft = 4800 ft²
