Set up figure, side length x, and width x-7. Set equation up
[tex]228 = (x)(x - 7) \\ 228 = {x}^{2} - 7x \\ {x}^{2} - 7x - 228 = 0 \\ (x - 19)(x + 12) = 0 \\ x = - 12 \\ x = 19[/tex]
Since the value x, cannot be negative, x is equal to 19. Therefore the length is 19, width 12 (19-7)
24,761 divided by 24
Answer:
1031.70833333
Step-by-step explanation:
here is a list of numbers: 8 7 12 7 11 10 7 12
a) find the median
b) the range
c) the mode
Answer:
Ascending order = 7,7,7,8,10,11,12,12
a) n = 8
= median = (n/2+(n/2+1)/2
= (4th term + 5th term)/2
= 8+10/2
= 9
b) range = 12-7 = 5
c) the mode = 7 (highest occuring value)
The median of the given list of numbers is 9.
The range of the given list of numbers is 5.
The mode of the given list of numbers is 7.
We have,
a) To find the median of a set of numbers, we arrange them in ascending order and determine the middle value.
If there is an odd number of values, the median is the middle number.
If there is an even number of values, the median is the average of the two middle numbers.
Arranging the numbers in ascending order: 7 7 7 8 10 11 12 12
There are eight numbers in this set, so the middle two numbers are 8 and 10.
Taking their average, the median is (8 + 10) / 2 = 9.
b) The range is the difference between the highest and lowest values in the set.
The lowest value is 7, and the highest value is 12.
So the range is 12 - 7 = 5.
c) The mode is the value that appears most frequently in the set.
In the given list, the number 7 appears three times.
Therefore,
The median of the given list of numbers is 9.
The range of the given list of numbers is 5.
The mode of the given list of numbers is 7.
Learn more about the median here:
https://brainly.com/question/28060453
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William has $22 to buy strings for his guitar. Each set of strings costs $5.
How many sets of strings can he buy? Do not include units in your answer.
Answer here
SUBMIT
Answer:
4
Step-by-step explanation:
4 sets of strings will cost:
4×5=20
He will have $2 left over. Not enough to buy another set.
Or 5x<=22 DIVIDE BOTH SIDES BY 5
x <= 4.4 since he cannot buy .4 sets (this is a fraction of a set) He can only buy 4 sets
in the actual room, the distance between the front and back walls is 8 feet. what is the actual length of the front wall, in feet?
Answer:
8 feet
Step-by-step explanation:
it actually will be 8 feet
2 lines are not parallel, how many solutions are there
Answer:
Either one: the two line have a point in common, or infinite: they are the same line.
What is the equation in standard form of the line y= 1/9x +5
Answer:
answer below
Step-by-step explanation:
9(y = 1/9x + 5)
9y = x + 45
-x + 9y = 45
x - 9y = -45
According to the website www.olx.uz, monthly rent for a two-bedroom apartment has a mean of
$250 and a standard deviation of $100 in the city of Andijan. The distribution of the monthly rent does not
follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample
of 40 two-bedroom apartments and finding the mean to be at least $275 per month?
Using the normal distribution and the central limit theorem, it is found that there is a 0.0571 = 5.71% probability of selecting a sample of 40 two-bedroom apartments and finding the mean to be at least $275 per month.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of $250, hence [tex]\mu = 250[/tex].The standard deviation is of $100, hence [tex]\sigma = 100[/tex].The sample is of 40 apartments, hence [tex]n = 40, s = \frac{100}{\sqrt{40}}[/tex].The probability of selecting a sample of 40 two-bedroom apartments and finding the mean to be at least $275 per month is the p-value of Z when X = 275, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{275 - 250}{\frac{100}{\sqrt{40}}}[/tex]
[tex]Z = 1.58[/tex]
[tex]Z = 1.58[/tex] has a p-value of 0.9429.
1 - 0.9429 = 0.0571
0.0571 = 5.71% probability of selecting a sample of 40 two-bedroom apartments and finding the mean to be at least $275 per month.
You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213
f(x) = 11 – 5x for f(9)
A.-46
B.-44
C.44
D.45
Answer:45
Step-by-step explanation: math solver
Answer:
the answer is not there. the answer is -34
Step-by-step explanation:
11-5(9) . 11-45
can anyone slove this question pls
we have: -10/4 = -2.5 ⇒ -2 > -2.5 > -3
ANSWER : -2 and -3
ok done. Thank to me :>
2/3x + 4 = 2 Solve the equation algebraically show work to support the answer
Answer:
x = -3
Step-by-step explanation:
2/3x + 4 = 2
2/3x = 2 - 4
2/3x = -2
2x = -2 * 3
2x = -6
x = -6/2
x = -3
Yosef typed a 36 word paragraph in 2/3 minute. What is his typing speed, in words per minute?
Answer:
the answer is:
Yousef typing speed, in words per minute is
equal to
54 words
minute
Some one help me? ill give 50 points
Answer:
v=[tex]\frac{(w+v)/t}{2}[/tex]
Step-by-step explanation:
just inverse operations and you will always get your answer :)
3. Find to the nearest thousandth: log7 80
Answer:
I believe 1000
Step-by-step explanation:
Solve the system of equations by the substitution method.
y = 2x + 1
5y-7x = 11
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair.)
OB. There are infinitely many solutions.
O C. There is no solution.
Help
Answer:
(2,5) -- that is, x is 2, and y is 5, so it would be choice A.
Step-by-step explanation:
5(2x+1)-7x=11
10x+5-7x=11
3x=6
x=2
y=2(2)+1=5
heeeeeeeeeeeeeeeeeeeelp me plssssssssssss
Answer:
Yep linear functions look like diagonal lines. Vertical lines have a slope of 0 whilst horizontal lines aren’t even defined. Diagonal and horizontal don’t work since horizontal aren’t defined so if one doesn’t work then it won’t work.
So (a) is the answer
Diagonal lines are linear functions
Answer:
Diagonal lines........
a jar has 654 jelly beans emily says the jar has 710 jelly beans, Find the percent error of emily's estimate
Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07
Answer:
8.56%Step-by-step explanation:
Find the difference between the actual and estimate, this is the error:
710 - 654 = 56Find the percent error, which is the error over the actual:
56/654*100% = 8.56%The volume (V) of a rectangular pyramid can be determined by using the following
formula.
Iwi
V
Where l= the length of the rectangle, w = the width of the rectangle, and h = the heigh
of the pyramid, what is the result of solving this equation for w?
Ow=3V-th
O2 - V +3 - th
V3
th
3V
O w=
Answer:
[tex]{ \rm{V = \frac{lwh}{3} }} \\ \\ { \rm{3V = lwh}} \\ \\ { \boxed{ \rm{ \: w = \frac{3V}{lh } \: }}}[/tex]
what is linear spline?
9Linear splines
The linear spline represents a set of line segments between the two adjacent data points (Vk,Ik) and (Vk+1,Ik+1). ... The linear spline is constructed for each interval V = [Vk,Vk+1] independently and it matches the data values (Vk,Ik) for k=0,1,...,n.
Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary of $800 per week. How much did she earn last week if she sold $4,700 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Answer:
1164.25
Step-by-step explanation:
whats 2077-210?
its for a thing im doing.
Answer:
1867
Step-by-step explanation:
What do you need it for?
can someone please help me
Answer:
The mode is 31
good luck naka
Pls help stuck on it
Answer:
4,-1
Step-by-step explanation:
Please like!♥
What is the GCF of 9y and 12y?
About how many years ago did Jesus live
A.10,000
B. 5,000
C. 2,000
D. 1,000
Jesus was born in 4 BC (more or less) and live to be 33 years old, which means His death was around 29 AD (more or less). That was precisely, 1992 years ago
pls help me due t
in 1 hrs I'll give u brainliest answer
If x²+y²=125 and xy=22, find the value of (x+y)².
[tex]\text{Given that,}~x^2 +y^2 = 125 ~ \text{and}~ xy =22\\\\(x+y)^2 = x^2 +y^2 +2xy = 125 +2(22) = 169[/tex]
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf(x + y) {}^{2} [/tex][tex] \sf {x}^{2} + {y}^{2} + 2xy[/tex][ by using formula ]
[tex] \sf125 + (2 \times 22)[/tex][tex] \sf125 + 44[/tex][tex] \sf169[/tex]I hope it helps ~
Help meeeeeeeeeeeeedsddsss9
Answer:
2(x + 3) <9
Step-by-step explanation:
Two times the quantity of a number increased by 3 is less than 9
2 · (x + 3 ) < 9
= 2(x + 3) <9
- The width of a rectangle is 4x – 1 feet and the length is 2x + 6 feet. Find the perimeter of the rectangle.
Answer:
12x + 10 feet
Step-by-step explanation:
Perimeter = 2( length + width)
= 2[ 2x + 6 + (4x -1)]
= 2( 2x + 6 + 4x - 1)
= 2( 6x + 5)
= 12x + 10
solve and check the equation
2(4-5x) = 2(3x+2)
Please help I need the answer quick this assignment is almost due!
Answer:
x = -3
Step-by-step explanation:
The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.
2x + 9 = 7x + 24
Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.
2x - 7x + 9 = 7x - 7x + 24
-5x + 9 = 24
Then, we'll remove 9 from both sides.
-5x + 9 - 9 = 24 - 9
-5x = 15
Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.
-5x/-5 = 15/-5
x = -3
And there it is... the value of x. Hopefully that's helpful! :)
URGENT PLS HELP
John is driving around town. When he reaches the gas station, he notes that he has traveled 18 miles. He reaches home 2 hours later and notes that he has traveled 34 miles. If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?
1. d = 18t + 52
2. d = 16 + 18t
3. d = 8t + 18
4. d = 8t - 18