Ashley, Milan, and Carlos sent a total of 131 text messages over their cell phones during the weekend. Carlos sent 7 times as many messages as Ashley. Ashley sent 4 more messages than Milan. How many messages did they each send?
Answers
Answer:
Ashley= 15
Milan= 11
Carlos= 105
Step-by-step explanation:
Let, A, M and C denotes Ashley, Milan and Carlos respectively.
A+M+C= 131 (according to the question)
Here,
C= 7A
A= M+ 4
So, M= A - 4
Now,
A+M+C = 131
or, A+ A-4+ 7A = 131 (putting the values)
or, 9A - 4 = 131 (adding like terms i.e. A + A + 7A)
or, 9A = 131 + 4
or, 9A = 135
or, A = 135 / 9
So, A = 15
C= 7A = 7×15= 105
M= A-4 = 15 - 4 = 11
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Find three consecutive integers whose sum is 216. (Hint: if n represents the smallest of the three integers, n + 1 and n + 2 representthe other two numbers.)
Evaluate the following trigonometric expression
ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN A circular walkway surrounds a fountain.The fountain alone has a diameter of 16 feet.The walkway adds an additional 4 feet to each side. What is the area of the walkway minus the area of the fountain. Use 3.14 for Pi.
The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who were vegans and another sample of such women who were omnivores.Diet Sample Size Sample Mean Sample SD Vegan 85.00 5.20 1.08Omnivore 91.00 5.65 1.10 Calculate a 99% CI for the difference between the population mean total cholesterol level for vegans and population mean total cholesterol level for omnivores. (Use μvegan−μomnivore). Round to three decimal places.)Interpret the interval.a. We are 99% confident that the true average cholesterol level for vegans is less than that of omnivores by an amount within the confidence interval.b. We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount within the confidence interval.c. We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount outside the confidence interval.d. We cannot draw a conclusion from the given information.
Answers
Calculate the mean, median, range, and midrange of the number of cups of tea sold for the week.
Answers
Answer:
mean = 7
median = 7
range = 9
mid range = 7.5
Step-by-step explanation:
3, 5, 6, 7, 7, 9, 12
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
12 - 3 = 9
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
3, 5, 6, 7, 7, 9, 12
median = 7
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
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Answers
Answer:
60
Step-by-step explanation:
24 ÷ 4 is 6. In 8 days He would have 48. Add two 6's and you get the number 60.
Because 24+24+12=60
Answers
Answer:
It is better for the warriors to use man-to-man defense.
Step-by-step explanation:
The complete question is: The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve its offensive strategies. Some opponents primarily use a zone defense, while others primarily use a man-to-man defense. When the Warriors play against teams that use a zonedefense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.
Since the Warriors started using their improved offensive strategies they have played two games with the following results.
Against the McNeil Mavericks
Maverick defense: zone
Warrior points: 77
Against the Round Rock Dragons
Dragon defense: man-to-man
Warrior points: 71
What is the Z-score of these values?
We are given that when the Warriors play against teams that use a zonedefense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.
We have to find the z-scores.
- Finding the z-score for the zone defense;
Let X = points score by warriors when they use zone defense
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = mean score = 67 points
= standard deviation = 8 points
It is stated that the Warriors scored 77 points when they used zone defense, so;
z-score for 77 =
= = 1.25
- Finding the z-score for the zone defense;
Let X = points score by warriors when they use man-to-man defense
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = mean score = 62 points
= standard deviation = 5 points
It is stated that the Warriors scored 71 points when they used man-to-man defense, so;
z-score for 71 =
= = 1.8
So, it is better for the warriors to use man-to-man defense.
Answers
26 divided by 53 equals 6 with a remainder of 8.
To solve 326 divided by 53 using long division, let's go step by step:
6
------------
53 | 326
1. First, we divide 53 into 32. The largest multiple of 53 that fits into 32 is 0. So, we bring down the next digit from 326, which is 6.
6
------------
53 | 326
-
2. We now have 326. We divide 53 into 326, which gives us 6. The quotient is written above the line.
6
------------
53 | 326
- 318
3. We subtract 318 from 326, which gives us 8.
6
------------
53 | 326
- 318
-----
8
4. We have a remainder of 8. Since there are no more digits to bring down, we have our final result.
Therefore, 326 divided by 53 equals 6 with a remainder of 8.
Learn more about division here
#SPJ6
Answer: 6.150943396
6.15 if rounded
Step-by-step explanation:
b. y-y1=m(x-x1)
c. y1=mx1+b
d. Ax1+by1=C
e. y=mx+b
f. y1-y=m(x-x1)
Please explain why, if you can. Thanks! :)
Answers
The equation of the line, in point-slope form, is given by:
Option b.
-----------------------------------------
The equation of a line, in point-slope form, is given by:
In which
- m is the slope.
- The point is
.
- Nonvertical line means that
- Thus, the correct option is given by option b.
A similar problem is given at brainly.com/question/24144915
Answer:
b. y-y1 = m(x-x1)
Step-by-step explanation:
It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.
- slope-intercept form: y = mx + b
- point-slope form: y -y1 = m(x -x1)
- two-point form: y = (y2-y1)/(x2-x1)(x -x1) +y1
- intercept form: x/a +y/b = 1
- standard form: ax +by = c
- general form: ax +by +c = 0
Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.