Answer:
The median of Group A is greater than the median of Group B.
Step-by-step explanation:
Given
[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]
Required
Which of the options is true
(a) Group A complete in less time
To do this, we calculate the average of both using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Where
[tex]n = 9[/tex]
So, we have:
[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]
[tex]\bar x_A = \frac{41.9}{9}[/tex]
[tex]\bar x_A = 4.66[/tex]
[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]
[tex]\bar x_B =\frac{39.9}{9}[/tex]
[tex]\bar x_B =4.43[/tex]
The average time of Group A is higher than that of B, this means that Group A spend more time, on average.
(b) Group A has a greater median
First, we sort the given data in ascending order
[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]
The median is then calculated using:
[tex]Median = \frac{n + 1}{2}th[/tex]
This gives:
[tex]Median = \frac{9 + 1}{2}th[/tex]
[tex]Median = \frac{10}{2}th[/tex]
[tex]Median = 5th[/tex]
The median is the fifth item for both groups.
So, we have:
[tex]A =4.7[/tex]
[tex]B =4.3[/tex]
4.7 is greater than 4.3
Hence, (b) is true
Since (b) is true and only one option is correct, then (c) and (d) are incorrect
Answer:
b
Step-by-step explanation:
Below is the normal distribution curve for height (inches) of NBA basketball players.
If there are 4500 NBA players, approximately how many of them are taller than 91 inches?(Round to nearest whole number)
==================================================
Explanation:
mu = 75 = mean, since it's at the centersigma = 8 = standard deviation (each gap between the tickmarks is 8 units wide)From the given info, we see that 91 is two standard deviations above the mean. The diagram shows 91 is two tickmarks to the right of center. Or we could note that z = (x-mu)/sigma = (91-75)/8 = 2.
Roughly 95% of the normal distribution is within 2 standard deviations of the mean. I'm using the Empirical Rule.
So about 95% of the population is between 59 and 91 inches tall. That leaves 5% of the population in both tails combined. Cut this in half to get 2.5%
We have 2.5% of the population taller than 91 inches
2.5% of 4500 = 0.025*4500 = 112.5 = 113
Roughly 113 people are taller than 91 inches
----------
Side notes:
The answer is approximate because the Empirical Rule is just a rough approximation of percentages; also, I rounded 112.5 to 113 (it makes no sense to have half a person).59 inches = 4 ft, 11 in75 inches = 6 ft, 3 in91 inches = 7 ft, 7 inRoughly 95% of the population of NBA players is between 4 ft, 11 in and 7 ft, 7 in, according to this data set.PLEASE HELP!!!! Erika wants to buy a new chair for her living room. She has found one she likes at two different stores.
The chair at The Sitting Store has a list price of $150.00, and she has a coupon for 35% off.
The chair at The Dining Depot has a list price of $132.95, and she has a $25 rebate.
Which company offers the better price if she wants to pay the least amount for the chair? What is that price?
Answer:
The Sitting Store has a better price at $97.50 while The Dining Depot is at $107.95
Step-by-step explanation:
Alan and Margot each drive from City A to City B, a distance of 147 miles. They take the same route and drive at constant speeds. Alan begins driving at 1:40 p.m. and arrives at City B at 4:15 p.m. Margot’s trip from City A to City B can be described with the equation y = 64x, where y is the distance traveled in miles and x is the time in minutes spent traveling. Who gets from City A to City B faster?
Answer:
Margot gets from A to B faster
Step-by-step explanation:
Alan takes 2 hr and 35 min = 2. 58... hr
Margot takes 147/64 hr = 2.296.. hr
pls help asap! i will give brainliest
Answer:
G
Step-by-step explanation:
I did this assignment yesterday
Answer:
x = 91
y = 98
Your answer is F.
Step-by-step explanation:
Since a straight angle is 180° you have to subtract 89 from 180 and 82 from 180.
180 - 89 = 91
180 - 82 = 98
Hope this helps, and have a wonderful day! :)
Darius buys a bottle of a chemical solution that contains 70% percent alcohol. The bottle contains 500 milliliters of solution.
How many milliliters of alcohol are in the solution?
Answer:350
Step-by-step explanation:70x500 divide by 100=350
How do i do this, and please step by step i will give brainliest
Answer:
-50 N
Step-by-step explanation:
125 - 75 = 50
left = negative
right = positive
The ball is going to be kicked to the left because the net force on the right is larger, and as you can see above, left = negative and right = positive. So the answer would be -50 N
PLEASE HELP ME I NEED THE ANSWER
Answer:
72 yd^3
Step-by-step explanation:
Answer:
Volume of this pyramid is 72.
You were making $15 an hour and are now making $18 an hour. What is the percent of change in your hourly wage? This is a 2 part question. The first part you will tell the percent of change "Without the % sign included in your answer" the second part you will determine if it is a "Increase or Decrease"
find the value of y.
Answer:
B.) 40°
Step-by-step explanation:
because the sum of all the interior angles should be 180°, so 50°+90°+y=180°
y must equal 40°
need help asap will give brainlyest
Answer:
it in a is correct if im wrong it is B
Step-by-step explanation:
28.
If 30% of a number is 15, what is the number?
No links!!
I will report if say something wrong.
Will give brainlest
Answer:
50
Step-by-step explanation:
30% * n = 15
Change to decimal form
.30 *n = 15
Divide each side by .30
.30n/.30 = 15/.30
n =50
The number is 50
Which value cannot represent the probability of an event occurring?
0.01
StartFraction 2 over 85 EndFraction
62.5%
1.1
Answer: Probability cannot be greater than 1
so it would be D 1.1
Step-by-step explanation:
Answer:
D. 1.1
Step-by-step explanation: Hello
Ray recorded the amount he paid for his phone bill each month for the year in this table.
$28 $27
$26 $25
$32 $26
$30 $25
$30 $28
$28 $30
The range of the data is , and the interquartile range is .
Answer:
the interquartile is 4
Step-by-step explanation:
Answer:
range:7 inter. range: 4
Step-by-step explanation:
36/6 × 9/3 I am kind of stuck
Answer:
Step-by-step explanation:
36/6x9/3=18x
Answer: 18
Step-by-step explanation: 36/6×9/3
36/6=6
6×9/3
54/3
18
Find the perimeter of the triangle in terms of b.
I’m marking branliest
Answer:
7b - 2 = 6b
3b + 7 = 10b
6b + 6b + 10b +10b
12b + 20b
34b
What is the value of x?
Answer:
x = 4
Step-by-step explanation:
If (and only if) we assume that the two horizontal lines are parallel, then angles 2x + 19 and x + 23 are equal:
2x + 19 = x + 23
or: x = 4
Amanda found the equation 10x+5y=20 in the “linear equations” chapter of her math book.
All possibilities were discussed in order to write the required linear equation.
The given linear equation is:
[tex]10x+5y=20[/tex]
What is a linear equation?An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R
For a unique solution, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]
For infinitely many solutions, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]
Hence, all possibilities were discussed in order to write the required linear equation.
To get more about linear equations visit:
https://brainly.com/question/14323743
8-6x=-28 I need help plzzz
Answer:
6
Step-by-step explanation:
We need to solve the equation .The given equation is ,
→ 8 - 6x = -28
→ -6x = -28-8
→ -6x = -36
→ x = -36/-6
→ x = 6
• Hence the value of x is 6 .write an exxpression to represent nine minus the quoitient of two and a number x
Answer:
9-(2/x)
Step-by-step explanation:
Answer:
9-(2/x)
Step-by-step explanation:
This represents the expression.
A mountain has a 21-degree slope. The mountain reaches an altitude of 468 feet. If you hike to the top of the mountain, starting at sea level, how far will you hike?
Answer:
1306 feet
Step-by-step explanation:
sin∅ = opp/hyp
sin21 = 468/hyp
hyp = 468/sin21
hyp = 1305.920355304657206
Rounded
1306 feet
A car has a value of £15000 at the start of the
year, at the end of the year the car is worth £14000.
What is the percentage decrease ?
Given :-
Value of car in start years Sv= $ 15,000Value of car in last years Ev = $ 14,000Find :-
% decrease .ExplanationUsing Formula
[tex]\boxed{\tt{\red{\:(Decrease)\:=\:(Sv\:-\:Ev)}}}[/tex]
==> Decrease value = 15000 - 14,000
==> Decrease Value = $1000
Now, Calculate % decrease .
★ % decrease = decrease × 100/Sv
==> % Decrease = 1000 × 100/15,000
==> % Decrease = 100/15
==> % Decrease = 6.67 % [ Ans]Find an angle with a positive measure and an angle with a negative measure that is coterminal with each angle 210° and - 120°
Answer:
For angle of 210°, coterminal angles are; 570° and -150°.
For angle of -120°, coterminal angles are; 240° and -480°
Step-by-step explanation:
Since we are asked to angle find angle that's coterminal, we will add/ subtract 360° from each angle respectively to get that because coterminal angles are defined as those that share the same terminal side. Thus;
For angle of 210°, coterminal angles are;
>> 210° + 360° = 570°
>> 210° - 360° = - 150°
For angle of -120°, coterminal angles are;
>> - 120° + 360° = 240°
>> - 120° - 360° = - 480°
A bag contains eight red marbles and 12 green marbles you choose a marble out of the bag without looking what is the probability that you choose a red marble
Answer:
2/5
Step-by-step explanation:
Probability of choosing red = total red marbles / sum of marbles in the bag
sum of marbles in the bag = 12 + 8 = 20
8/20 = 2/5
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
If 1/8 of my money is $80. What is 50 % of my money
Answer:
$320
Step-by-step explanation:
An easy way to solve this problem is to undo the operations, Find the total amount of money, and then find half of the amount. Since (80) is ([tex]\frac{1}{8}[/tex]) the total amount of money, one has to multiply (80) by (8) to find the total amount of money.
(80) * (8)
= 640
Now one is asked to find (50%) of the money. It is known that (50%) is equivalent to (0.5), therefore multiply (640) by (0.5) to find how much (50%) of the money is.
(640) * (0.5)
= 320
Help PLEASE!!!! Need help due Today!!!
Shelby has a $5 gift card to an online music store. She downloads songs that cost $1.20 each. What equation models the total amount of money Shelby spends y if she downloads x songs?
y = 5x + 1.20
y = 5x + 1.20
y = -5x + 1.20
y = -5x + 1.20
y = 1.20x - 5
y = 1.20x - 5
y = 1.20x + 5
Please help write a system of equations to represent the scenario
You are going to take a 10-question True/False test. How many ways can this test be answered if leaving questions blank is a viable option for each question?
Answer:
There are 59,049 different ways of answering the exam.
Step-by-step explanation:
The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.
Here, the selections are each one of the 10 questions, so we have 10 selections.
And each one of these selections has 3 options (true, false, blank)
So, we have 10 selections with 3 options each, then the total number of combinations will be:
C = 3*3*3*3*3*3*3*3*3*3 = 3^10
C = 59,049
There are 59,049 different ways of answering the exam.
x=2
3x+4y=2
-6
4y=-4
y=1
Answer:
x= 1/22 and y=-1/4 (I'm assuming that the equal signs are the only separators of the equation sequence, since there is no indicator that the so-called "sentences" are actually apart.
An example for my question before
Answer:
angle c is 82 degree because 82 degree and angle c are corresponding angles.
Step-by-step explanation:
note :corredponding angles are always equal.
the sum of co interior angle id 180 degree.alternate angle are equalthe sum of co exterior angle is 180 degreethe sum of alternate exterior angle is 180 degreeI NEED HALP ASAP!!!
A game company gave each customer one game to test and asked whether he or she would recommend the game. What is the probability that a customer who would recommend his or her game tested Game A? Round to the nearest percent.
9514 1404 393
Answer:
35%
Step-by-step explanation:
Of those 28+52 = 80 who would recommend their game, 28 tested game A. The probability is ...
28/80 = 0.35 = 35%
The probability that a recommending customer tested game A is 35%.