The given equation solved for y as y=2x-3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 12x-6y=18.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The equation can be solved as follows
6(2x-y)=18
⇒ 2x-y=3
⇒ y=2x-3
Therefore, the given equation solved for y as y=2x-3.
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A weight-loss clinic advertised that last month its patients, on average,8lb lost . Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last month all of their patients lost at8lb least . Last month more than half of their patients lost at least 8lb. Last month some of their patients lost more than4lb . Last month at least one of their patients lost exactly 8lb. Two months ago some of their patients lost at least 8bl. None of the above statements are true.
Answer:
Given:
A weight-loss clinic advertised that last month its patients, on average, lost 8 lbs
Average refers to mean
a. Last month all of their patients lost at least 8 lbs.
Answer: Mean or average is a measure of central tendency or in other terms refers to the central value of the dataset. If the value of mean/average is 8lb, it signifies that there are some patients who have lost weights more than 8 lbs. So, this statement is False
b. Last month at least one of their patients lost exactly 8 lbs.
Answer: It is a possibility that all the patients have lost their weights greater than or less than 8 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost exactly 8lbs. So, this statement is False.
c. Two months ago some of their patients lost at least 8 lbs.
Answer: It is clearly mentioned that last month its patients, on average, lost 8 lbs. No information is given about the weight loss of patients before the last month. So, there is not sufficient data to check whether this statement is correct or not.
d. Last month at least one of their patients lost less than 3 lbs.
Answer: It is a possibility that all the patients have lost their weights greater than 3 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost less than 3lbs. So, this statement is False.
e. Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs.
Answer: Mean is a measure of central tendency which is computed by the diving sum of all observations with the number of all observations (the sum of observations lesser than the mean is compensated by the sum of observations greater than the mean) and for the mean equal to 8lbs, there should be an equal number of people who lost less than 8 lbs and the number of people who lost more than 8 lbs. Hence, this statement is True.
Answer e.Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs is True
the statements that must be true based on the information are:
- Last month all of their patients lost at least 8 lb.
- Last month more than half of their patients lost at least 8 lb.
- Last month some of their patients lost more than 4 lb.
- Last month at least one of their patients lost exactly 8 lb.
Based on the information provided, we can make the following conclusions:
1. Last month, all of their patients lost at least 8 lb. (This statement is true since the average refers to the mean, and the average weight loss was 8 lb. Therefore, all patients must have lost at least 8 lb.)
2. Last month, more than half of their patients lost at least 8 lb. (This statement is true since the average weight loss was 8 lb, which means that at least half of the patients must have lost 8 lb or more. As the average is pulled up by higher values, more than half should have achieved at least 8 lb weight loss.)
3. Last month, some of their patients lost more than 4 lb. (This statement is true since the average weight loss was 8 lb. If the average is 8 lb, then there must be patients who lost more than that, and losing more than 4 lb is definitely possible.)
4. Last month, at least one of their patients lost exactly 8 lb. (This statement is true since the average weight loss was 8 lb. For the average to be exactly 8 lb, at least one patient must have lost exactly 8 lb.)
5. Two months ago, some of their patients lost at least 8 lb. (There is no information provided in the given data to make any claims about weight loss two months ago, so we cannot conclude this statement based on the information given.)
So, the statements that must be true based on the information are:
- Last month all of their patients lost at least 8 lb.
- Last month more than half of their patients lost at least 8 lb.
- Last month some of their patients lost more than 4 lb.
- Last month at least one of their patients lost exactly 8 lb.
The statement "Two months ago some of their patients lost at least 8 lb" cannot be determined from the given information, so it is not necessarily true or false based on the data provided.
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NO LINKS!!!
What are the differences between arithmetic and geometric sequences?
Answer:
An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.
A rectangle has a length of 72 cm and a width of 56 cm. A second rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answer:
192
Step-by-step explanation:
Well if the first rectangle is 72 and 56, then we can find the area of that by multiplying length times width which would be 4032, so that would be the area of the second one. then we divide 4032 by 21, which is 192.
P.S, This is my first question answered, so if im wrong please let me know, thank you!
Answer: 192
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, the length is 192 cm.
PLS HELP
What is 3/4 of a penny in decimal form?
Answer:
0.75 cents or $0.0075
Step-by-step explanation:
3/4 = 75/100 = 0.75
0.75 of a penny or $0.0075 in dollars
pls mark brainliest if this helped :)
3/4 of a penny in decimal form is 0.75 of a penny or $0.0075 in dollars.
What is a penny?
The cent, the United States one-cent coin (symbol: ¢), usually named the "penny", exists as a unit of currency equaling one one-hundredth of a United States dollar.
During the colonial period, people utilized a variety of coins from other nations. A popular coin stood the British penny, which was the least amount of the British pound coin. That's why we call our cent a “penny.”
Given: 3/4 of a penny
3/4 = 75/100 = 0.75
0.75 of a penny or $0.0075 in dollars
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What is a quartic function with only two real zeros atx x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609
D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13
Answer:
b
Step-by-step explanation:
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
−3 2/3=x−1 1/4 pls help
Answer:
- 2 5/12Step-by-step explanation:
−3 2/3 = x − 1 1/4x = - 3 2/3 + 1 1/4x = - 2 - 2/3 + 1/4x = - 2 - 8/12 + 3/12x = - 2 - 5/12x = - 2 5/12n-(m+n): use m= 2,and n=-3
Answer:
the answer is in the photo below
if u help me ill give u brainliest
Answer:
150000000
Step-by-step explanation:
30x5000000=150000000
A runner can finish 3 miles in 24 minutes. If they can maintain that pace, how far could they run in 40 minutes?
Answer:
4.85 mailes can be running for runners
9.4 x 8.2 using regrouping
Answer:
77.08
Step-by-step explanation: basic math
Answer:
77.08
Step-by-step explanation:
hope it helps
Simplify the expression.
14.5 – 3(-7.9+ 4.4 - 2.9) = 14.5 – 3
sus susussusususususususus
b. A square has an area of 9 cm2 what is its side length?
Answer:
81 cm
Step-by-step explanation:
A square is equal an all sides so 9cm to the second power is 81 cm
In the picture. Answer by 11:00.
Answer:
Pink and Green are proportional
Step-by-step explanation:
A proportional graph is a straight line that always goes through the origin
Can you help me!
Determine the solution to the following one-variable linear equation:
a. 4a - 11 = 2a + 3
b. 3z + 12 = 15
c. 2 - 6b = 20
d. 3y - 5 = 27 - y
Hi,
4a - 11 = 2a + 3
4a - 11 + 11 = 2a + 3 + 11
4a = 2a +14
4a - 2a = 2a - 2a + 14
2a = 14
2a / 2 = 14 / 2
a = 7
3z + 12 = 15
3z + 12 - 12 = 15 - 12
3z = 3
3z / 3 = 3 / 3
z = 1
2 - 6b = 20
2 - 2 - 6b = 20 - 2
- 6b = 18
6b = - 18
6b / 6 = -18 / 6
b = -3
3y - 5 = 27 - y
3y - 5 + 5 = 27 - y + 5
3y = - y +32
3y + y = - y + y +32
4y = 32
4y / 4 = 32 / 4
y = 8
✅(◠‿◕)
#A
4a - 11 = 2a + 3 4a - 2a = 3 + 112a = 14 a = 14/2 a = 7✅#B
3z + 12 = 15 3z = 15 - 12 3z = 3 z = 3/3 z = 1✅#C
2 - 6b = 20 -6b = 20 - 2 -6b = 18 b = 18/(-6)b = -3✅#D
3y - 5 = 27 - y 3y + y = 27 + 5 4y = 32 y = 32/4 y = 8✅Find the equation of the exponential function represented by the table below:
x y
0 0.01
1 0.03
2 0.09
3 0.27
y=
Answer:
y = 0.01(3ˣ)
Step-by-step explanation:
Solve 2|x + 2| – 3 ≥ 0 by graphing
this is the answer of the equation as a graph
ends of diameter: (9, 15) and (15, 7)
(
x
−
12
)
2
+
(
y
−
11
)
2
=
25
Solve the compound inequality.
3x + 1 <4 or 9x > 31
Answer:
Step-by-step explanation:
3x < 4 - 1 or x > 31/9
3x < 3 or x > 31/9
x < 1 or x > 31/9
Mind helping me with this?
A certain length measurement is performed 500 times. The mean value is 5.0m, and the standard deviation is 2cms. Assuming a normal distribution for the error in the measurement, how many readings fall within 5.15cm of the mean value
Using the normal distribution, it is found that 495 readings fall within 5.15cm of the mean value.
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:
Mean of 5m, hence [tex]\mu = 5[/tex].Standard deviation of 2 cm, hence [tex]\sigma = 0.02[/tex]To find the proportion of readings that fall within 5.15cm of the mean value, first we need to find the following z-score:
[tex]z = \frac{0.0515}{0.02}[/tex]
[tex]z = 2.575[/tex]
The proportion is P(|z| < 2.575), which is the p-value of z = 2.575 subtracted by the p-value of z = -2.575.
Looking at the z-table, z = -2.575 has a p-value of 0.005, and z = 2.575 has a p-value of 0.995.
0.995 - 0.05 = 0.99
Out of 500 measurements:
(0.99)500 = 495
495 readings fall within 5.15cm of the mean value.
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solve pls brainliest
We have: 103/20= 5,15 ; 5 2/9= 5,(2)
So the answer is:
103/20 < 5.169 < 5.19 < 5 1/2
ok done. Thank to me :>
Use the given transformation to evaluate the integral
∫R(15x+10y)dA, where R is the parallelogram with vertices (-3, 12), (3, -12), (6, -9), and (0, 15); x=1/5(u+v), y=1/5(v−4u).
Answer:
Step-by-step explanation:
I hate you
what is the value of the digit 4 in 0.342
Answer:
0.04 = four hundredths
Step-by-step explanation:
To find the value of a digit in a number, set all the other digits to zero.
The value of the 4 is ...
0.040
The 4 is in the hundredths place, so its value is four hundredths.
1/2 - 3/10 please help
Answer:
[tex]\huge\boxed{\dfrac{1}{5}=0.2}[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{2}-\dfrac{3}{10}=\dfrac{1\cdot5}{2\cdot5}-\dfrac{3}{10}=\dfrac{5}{10}-\dfrac{3}{10}=\dfrac{5-3}{10}=\dfrac{2}{10}=\dfrac{2:2}{10:2}=\dfrac{1}{5}\\\\\\\dfrac{1}{2}=0.5;\ \dfrac{3}{10}=0.3\\\\\dfrac{1}{2}-\dfrac{3}{10}=0.5-0.3=0.2[/tex]
A bag contains 8 white marbles, 4 green marbles and 3 blue marbles. 2 marbles are selected at random without replacement, find the probability both green
George wants to write the number “fifteen thousandths” in standard form. Explain to him how he would do this. Be sure to name the places his digits will go in. What is “fifteen thousandths” in standard form?
Answer:
0.015
Step-by-step explanation:
He would have to take 15 and put the decimal point 4 places to the left of the number.
If a value has thousandths, it goes 4 places to the left, hundredths goes 3 places to the left, tenths goes 2 places to the left and ones goes 1 place to the left.
The standard form is 10,000 + 5000.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Fifteen thousandths
This can be written as,
= 15,000
It can be expanded as,
= 10,000 + 5,000
= 1 ten thousands + 5 thousands
Thus,
The standard form is 10,000 + 5000.
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An isosceles right triangle has legs of equal length if the hypotenuse is 10 cm long find the length of each leg
Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.
In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.
Thus we get the following,
A = x
B = x
C = x + 10
We simply plug in these variables into the equation and solve for x:
x² + x² = (x+10)²
2x² = x² + 20x + 100
x² - 20x - 100 = 0
We solve for x by completing the square:
(x² - 20x + 100) - 100 = 100
(x-10)² -100 = 100
(x-10)² = 200
x - 10 = √(200)
x - 10 = 10 √2
x = 10 + 10√2 = 24
Finally,
A ≈ 24 (or 10 + 10√2)
B ≈ 24 (or 10 + 10√2)
C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)
Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form
y=2/3x -3
the picture is the explanation
Please take a look at the picture
13. Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
-5.-2,2,7..
A. yes: 3
B. yes: 4
C. yes: 3
D. no
Answer:
I think the answer is c