Answer:
8.7 out of the 290 would have AB blood type, you could round it to 9
According to a Los Angeles Times study of more than 1 million medical dispatches from to , the response time for medical aid varies dramatically across Los Angeles (LA Times website, November 2012). Under national standards adopted by the Los Angeles Fire Department, rescuers are supposed to arrive within six minutes to almost all medical emergencies. But the Times analysis found that in affluent hillside communities stretching from Griffith Park to Pacific Palisades, firefighters failed to hit that mark nearly of the time. The following data show the response times, in minutes, for emergency calls in the Griffith Park neighborhood.
11.8 10.3 10.7 10.6 11.5 8.3 10.5 10.9 10.7 11.2
Based on this sample of ten response times, compute the following descriptive statistics:
a. Mean, median, and mode
b. Range and standard deviation
c. Should the response time of 8.3 minutes be considered an outlier in comparison to the other response times?
Answer:
A)Mean :10.65
Median =10.7
Mode : 10.7
B)Range = 3.5
Standard deviation :0.89916
C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times
Step-by-step explanation:
A)
Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}[/tex]
Mean = 10.65
Median: The mid value of the data
Data in ascending order
8.3
10.3
10.5
10.6
10.7
10.7
10.9
11.2
11.5
11.8
n=10(even)
[tex]Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7[/tex]
Mode : the most occurring frequency
10.7 is occurring twice while others are occurring once
So, Mode is 10.7
B) Range = Maximum - Minimum=11.8-8.3=3.5
Standard deviation : [tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}[/tex]
Standard deviation :[tex]\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}[/tex]
Standard deviation :0.89916
C)
8.3
,10.3
,10.5
,10.6
,10.7
,10.7
,10.9
,11.2
,11.5
,11.8
For Q1 ( Median of lower quartile )
8.3
,10.3
,10.5
,10.6
,10.7
[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5[/tex]
For Q3( Median of Upper quartile )
10.7
,10.9
,11.2
,11.5
,11.8
[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2[/tex]
IQR = Q3-Q1=11.2-10.5=0.7
Range :(Q1-1.5IQR, Q3-1.5IQR)
Range :[tex](10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)[/tex]
Range :(9.45, 10.15)
8.3 does not lie in this interval
So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times
Find cos(A) and tan(A)
FIRST TO ANSWER 50 POINTS !!
Randy and Carla like to walk the path around their town park. The path is 2 miles long. Last month Randy walked the path 13 times, and Carla walked it 22 times. How many more miles did Carla walk than Randy last month?
Answer: 18 more miles
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST
[tex]x + 105 + 113 + 75 = 360[/tex]
[tex]x + 293 = 360[/tex]
[tex]x = 360 - 293[/tex]
[tex]x = 67[/tex]
As we know that, for any shape with sides n, the sum of all it's interior angles is (n - 2) × 180°, so as the Shape ABCD is a quadrilateral with 4 sides, so sum of it's all interior angles is just going to be (4 - 2) × 180° = 2 × 180° = 360°, so if we assume the missing angle be [tex]\bf \angle A[/tex], by using the sum property we will be having ;
[tex]{:\implies \quad \sf \angle A+105{\degree}+113{\degree}+75{\degree}=360{\degree}}[/tex]
[tex]{:\implies \quad \sf \angle A+293{\degree}=360{\degree}}[/tex]
[tex]{:\implies \quad \sf \angle A=360{\degree}-293{\degree}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\angle A=67{\degree}}}}[/tex]
Writing Linear Equations
The answer to A is Gabe, the answer to B is Mila and I don't have an answer to C, try inputting it into a calculator. Sorry.
A)
y = ax + b
b = 40 as the line starts at (0 ; 40)
then the line goes down => so a < 0
between the 1st point and the second, we go 2 units on the right and we go 1 unit down
so a = - 1/2 = - 0,5
finally y = - 0,5x + 40
B)
y = ax + b
with
a = (-6 ; 0) / (0 ; -30) = 6/30 = 1/5
with the point ( 0 ; -6) we know that b = -6
finally y = 1/5x - 6
C)
we use the point (0 ; - 10)
so Amir is right as b will be - 10
The distance, in feet, two boys travel per second on a treadmill is shown to the left. Which comparison is accurate?
Xavier is traveling at 1.5 feet per second.
Moises is going faster than Xavier.
The difference in their rates of change is 1 foot per second.
If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance. (a straight up answer)
Answer:
Step-by-step explanation:
D is correct
Answer: D
Step-by-step explanation:
What is 70 percent of 20?
Answer:
14
Step-by-step explanation:
All you need to do is turn 70% into a decimal which is .70
Then multiply .70 and 20
.70*20
which gives you 14
The number is 14, which represents 70 percent of 20 is 14.
As we know that a percentage is normally calculated by dividing the component by the total and then multiplying by 100.
To find 70 percent of a number, we multiply the number by 70/100 or 0.7.
As per the question, we want to find 70 percent of 20.
So, we have:
70% × 20 = (70/100) × 20
To simplify the calculation, we can convert the percentage to a decimal by dividing 70 by 100, which gives us 0.7:
(70/100) × 20 = 0.7 × 20
Multiplying 0.7 by 20, we get:
0.7 × 20 = 14
Therefore, 70 percent of 20 is 14.
Learn more about percentages here:
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What is the product of 22 and 49
Answer:
1078
Step-by-step explanation:
Write the slope-intercept form of an equation for a line with y-intercept -5 and slope 2.\
Answer:
y = -5x + 2
Step-by-step explanation:
What Is -5 1/2 x -1 1/8
✨Answer:✨
-6 3/16
✨Step-by-step explanation:✨
-5 1/2 x -1 1/8 = ?
Convert mixed numbers into improper fractions
-11/2 x -9/8 = -99/16 = -6 3/16
I need help with pre algebra 8th grade
Answer:
ok whats the problem
Step-by-step explanation:
Step-by-step explanation:
um were is the question
CAN SOMEONE PLEASEEE HELP ME!!!!???
Answer:32%
Step-by-step explanation:
bella desire and javon collect stamps. desire has 5 more stamps than bella, and javon has 3 times as many stamps as desire altgether they have 200 stamps altogether
Answer:
I answered the stupid question and you deleted it
Step-by-step explanation:
A rare book was offered for sale in 2018 for $800. Because it was so rare, in increased in value by 10% in 2019. It increased in value again in 2020 this time by 20%. If you know how percentages work, you know that it increased by MORE than 30% in this time period. By what percent did it increase over the 2 year period?
Answer:
32%
Step-by-step explanation:
too lazy to type it out.
Answer:
32%.
Step-by-step explanation:
Value in 2019 = 800 + 10% of 800
= 800 + 0.1*800
= $880.
In 2020 , value
= 880 + 0.2*880
= $1056.
Increase in value over 2 years = 1056 - 800 = $256.
% increase = 100 * 256/800
= 32%.
Problem 8-21 (Algorithmic)
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:
Rental Class
Room Super Saver Deluxe Business
Type I $38 $43 —
Type II $16 $28 $45
Type I rooms do not have wireless Internet access and are not available for the Business rental class.
Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 140 rentals in the Super Saver class, 50 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 110 Type I rooms and 110 Type II rooms.
Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types.
Answer:
Step-by-step explanation:
Problem 8-21 (Algorithmic)
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:
Rental Class
Please help asap! I will gave brainlest!
Answer:
[tex]\frac{2\pi}{3}, \: \: \frac{5\pi}{3}[/tex]
Step-by-step explanation:
[tex] \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{3\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{2\pi}{3} \bigg)\\ \\\implies \huge \red{\theta = \frac{2\pi}{3}} \\ \\ \\ \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(2\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{6\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{5\pi}{3} \bigg)\\ \\\implies \huge \orange{\theta = \frac{5\pi}{3}} \\ \\ \huge \: \purple { \boxed { \bold\theta = \frac{2\pi}{3}, \: \: \frac{5\pi}{3} }}[/tex]
PLEASE HELP...
Write an iterated integral of a continuous function f over the region. Use the order dy dx.
R is the triangular region with vertices (0,0), (0,15), and (5,0).
(I just need the double iterated integral no solving necessary)
THANK YOU!!
Answer:
[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]
========================================================
Explanation:
We're tasked to find the values of a,b,c,d in the following
[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]
The equation of the line through the points (0,15) and (5,0) is y = -3x+15
When picking a particular fixed x value, the y values span from y = 0 to y = -3x+15 which determines the bounds of integration for the inner integral.
So this means c = 0 and d = -3x+15
The values of a,b are much easier and they are a = 0 and b = 5 to represent the x coordinates of the left-most and right-most points.
-----------------
Since,
a = 0b = 5c = 0d = -3x+15we go from this
[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]
to this
[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]
Without knowing what f(x,y) is, we cannot compute the integral. Luckily it seems like your teacher is only interested in setting up the integral rather than computing its numeric value.
look at the picture pleaseeeee
Step-by-step explanation:
the answer is in the picture
I have a question?.....Ms. Wallace makes soap to sell at craft fairs. The first bar of soap sells for $2, and each additional bar costs $1.25. The cost of making the soap is $0.95 per bar. Ms. Wallace pays $50 to rent a booth at the fair. How many bars of soap, b, will Ms. Wallace need to sell to at least break even?
Answer:
Has your teacher given you notes to practice?
Step-by-step explanation:
If no, then break the question down into pieces and write down what you know.
Twice the difference of a number and 2 equals 5
9514 1404 393
Answer:
2(x -2) = 5
Step-by-step explanation:
If x represents the number, then the difference of the number and 2 is ...
x -2
Twice the difference is ...
2(x -2)
"equals 5" means that product is equal to 5. The appropriate equation is ...
2(x -2) = 5
_____
In case you want a solution ...
Dividing by 2, we get ...
x -2 = 5/2
Adding 2 gives the value of the number:
x = 2 +5/2 = 9/2
x = 4 1/2
The number is 4 1/2.
find the x-intercept y=(x-2)/(3x-1)
Answer:
y=-2
x=-6
Step-by-step explanation:
4. Given a = 10.2, A = 122 degrees, and b = 6.8, use the Law of Sines to solve for B. Round your answer to the nearest degree.
5. Given a = 15, A = 36 degrees, and B = 70. use the Law of Sines to solve for b. Round your answer to the nearest whole number.
6. Given a = 9, b = 4, and c = 7, use the Law of Cosines to solve for A. Round your answer to the nearest degree.
Answer:
4) 34° (nearest degree)
5) 24 (nearest whole number)
6) 107° (nearest degree)
Step-by-step explanation:
Please see the attached picture for the full solution.
Q6: 107° is the angle in the 2nd quadrant.
(180° -73.398°≈ 107°)
Picture 2: Law of Sines
Hello can someone please answer this question i will mark you the Brainliest
Answer:
2(L ×W) +2(L×H)+2(W×H)
Step-by-step explanation:
find the answer of that
Answer:
180 cm 2
Step-by-step explaination:
2 ( lxw) + 2(lxh) + 2(wxh)
40 + 40 + 100
180
ANYONE I NEED HELP ASAP!!!!!
Enter any value of b that will make the following expression factorable
x2 + bx + 13
Answer:
14
Step-by-step explanation:
?*?=13 and ?+?=b
since 13*1=13, you could replace b with 14, since 13+1=14.
this will factor out into (x+1)(x+13)
You move 4 units forward, then 9 units backwards on a board game. Which of the following expressions can be used to find the sum of your moves?
4 + 9
4 + (-9)
-4 + 9
-4 + (-9)
Answer:
I believe the correct answer is option 2
4 + (-9)
Use the graph of the function to estimate the intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)
The intervals on which the graph is increasing: ]-∞,-3[ U ]0.5,-∞[ . On the other hand, the graph is decreasing: ]-3,0.5[
FunctionA function can be classified as increasing or decreasing. Thus, a function is increasing when the y-values increase, on the other hand, a function is decreasing when the y-values decrease.
From the image, you can see that the y-values increase in the following x-intervals: from -∞ to -3 and from 0.5 to ∞. Using interval notation, you can write that the function is increasing in:
]-∞,-3[ U ]0.5,-∞[
From the graph, you can see that the y-values decrease in the following x-intervals: from -3 to 0.5. Using interval notation, you can write that the function is decreasing in:
]-3,0.5[
Learn more about function here:
https://brainly.com/question/2649645
5. Write the equation in slope-intercept form that
is parallel to y = 4x - 2 and goes through the
point (-2, 3).
Answer:
y=4x+11
Step-by-step explanation:
Same slope because the lines are parallel
Help meeeee pleaseeeeee
Answer:
37.68 centimeters
Step-by-step explanation:
The circumference of a circle can be found by using the formula πd, where d = diameter. We're given the diameter as 12 centimeters, and we're going to use 3.14 for pi.
3.14 × 12
37.68
Therefore, the answer is 37.68 cm.
Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)
PLS HELP ME !
Draw out a two column proof for each problem below.
Make sure to start with your given statement and write out each statement and reason.
Answer and Explanation:
See attached image.