Answer:
equal to area of rectangle
Step-by-step explanation:
Please mark me brainlest
In a population of subjects, possess a certain characteristic. A sample of subjects selected from this population has subjects who possess the same characteristic. What are the values of the population and sample proportions?
Answer:
the values of the population and sample proportions is 0.64 and 0.6 respectively
Step-by-step explanation:
The computation of the values of the sample proportions and the population is shown below:
Given that
Let us assume the population be P
N= 1000
X = subjects possess specific characteristic = 640
So,
P = X ÷ N
= 640 ÷ 1000
= 0.64
And, the sample proportion is
n = 40
x = subjects possess specific characteristic = 24
p =X ÷ N
= 24 ÷ 40
= 0.6
hence, the values of the population and sample proportions is 0.64 and 0.6 respectively
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
Show work if you can
We can solve this questions using Quadratic equations . The answers for the following questions are given as 8/3,√12/5,2√3,2√5,7,12,3 and √15/2 + 3.
How do you solve Quadratic equations?
In order to avoid repeating the algebraic procedures more than once, we have previously learned how to solve a formula for a particular variable "generally." We can now apply the new formula to get the value of the particular variable. We will now go through the process of solving a quadratic equation for x using the quadratic equation's general form. The following formula provides the answers to a quadratic equation of the type ax2 + bx + c = 0, where is given.
Calculation1) 9x2-64=0
x2=64/9
∴x = 8/3
2) 5x2 -12=0
∴ x=√12/5
3) x2-4=8
x=√12
∴ x=2√3
4) 1/2 x2=10
x2=20
∴x=2√5
5)5x2+8=253
x2=49
∴x=7
6)3x2 -150 =282
x2=144
∴x =12
7)(x+2)2 -25=0
(x+2) = 5
∴ x=3
8) 2(x-3)2 -15=0
(x-3)=√15/2
∴ x= √15/2 + 3
We can solve this questions using Quadratic equations . The answers for the following questions are given as 8/3,√12/5,2√3,2√5,7,12,3 and √15/2 + 3.
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Given f(x) = 2x2 − 3x + 7, find f(2.5)
Answer:
12
Step-by-step explanation:
Given that,
f(x) = 2x² - 3x + 7
To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.
Let us solve it now.
f(2.5) = 2(2.5)² - 3×2.5 + 7
f(2.5) = 12.5 - 7.5 + 7
f(2.5) = 12
Answer:
\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)
f(2.5) = 12 is the right answer.Angle TLN equals (3X -18)°, angle MZQ equals (5X +14)° and
For the given figure, x = 23° and y = 129°
Parallel lines:
Parallel lines are lines that always stay the same distance apart and never meet.
Transversal line :
A transversal is a line that crosses two or more other lines.
given,
∠TLN = (3x - 18)°
∠MZQ = (5x + 14)°
∠NLM = y°
Now,
∠MZP + ∠MZQ = 180° (Linear Pair)
∠MZP = 180° - ∠MZQ ...........(I)
again,
∠NLM + ∠TLN =180° ...........(II) (Linear Pair)
As, ∠TLN = ∠MZP (Corresponding Angle)
(3x - 18)° = 180° - ∠MZQ
(3x - 18)° = 180° - (5x + 14)°
3x + 5x = 180° - 14° + 18°
8x = 184°
x = 184 / 8
x = 23°
From (II),
∠NLM + ∠TLN =180°
y° + 3x - 18° = 180°
y = 180 - 3x + 18
= 180 - 3* 23 + 18
= 180 - 69 +18
y = 129°
For the given figure,
x = 23° and y = 129°
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PLEASE HELP ASAP!!!!! DUE SOON!!! FULL ANSWER!!!!!
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 15 hours. How long will it take the pipe to fill the pool if the drain is left open? Express your answer as a reduced fraction.
_____________ hours
Answer:
10 hours
Step-by-step explanation:
we need to know how fast it is filling up per hour:so we do 100=6xwe divide 6 by both sides\(\frac{100}{6} =\frac{6x}{6}\)we get x=16.66666667now we need to know what %will drain per hrso the equation is 100=15ynow we need to divide by both sides\(\frac{100}{15} =\frac{15y}{15}\)and we get y=6.666666667now that we have the input (x) and output (y) per hour we are going to find the difference 16.66666667-6.666666667=10 now we know that if we leave the drain open while we fill it, each hour it will fill %10now we have to figure out how many hours it will take1=0.1x (0.1 is %10 in decimal form)(1 is %100 in decimal form)we divide 0.1 into both sides\(\frac{1}{0.1}=\frac{0.1x}{0.1}\)and we get 10 hoursgrrrrrr please help i’ll give u a cookie :)
im only in 6th grade
Step-by-step explanation:
A ball is thrown from a height of40 meters with an initial downward velocity of 10 . The ball's height (in meters) after seconds is given by the following.
Answer:
after 2 seconds
0=40-10t-5t^2
t^2+2t-8=0
(t+4)(t-2)=0
t=-4 or t=2
I think this is correct
PLEASE HELP MEEEE HURRRY!!! :)
Answer:
Option D
Step-by-step explanation:
We are given the following equations -
\(\begin{bmatrix}-5x-12y-43z=-136\\ -4x-14y-52z=-146\\ 21x+72y+267z=756\end{bmatrix}\)
It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -
\(\begin{bmatrix}-5&-12&-43&-136\\ -4&-14&-52&-146\\ 21&72&267&756\end{bmatrix}\) First, I swapped the first and third rows.
\(\begin{bmatrix}21&72&267&756\\ -4&-14&-52&-146\\ -5&-12&-43&-136\end{bmatrix}\) Leading coefficient of row 2 canceled.
\(\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ -5&-12&-43&-136\end{bmatrix}\) The start value of row 3 was canceled.
\(\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ 0&\frac{36}{7}&\frac{144}{7}&44\end{bmatrix}\) Matrix rows 2 and 3 were swapped.
\(\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\end{bmatrix}\) Leading coefficient in row 3 was canceled.
\(\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&0&0&\frac{4}{9}\end{bmatrix}\)
And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -
\(\begin{bmatrix}1&0&-1&0\\ 0&1&4&0\\ 0&0&0&1\end{bmatrix}\)
The positioning of the zeros indicated that there was no solution!
Hope that helps!
Word problem with one decimal operation:
Isabel needs to drive 16 miles to work. So far, she has driven 2.7 miles. How many more miles must she drive?
Answer:
13.3 miles
Step-by-step explanation:
Total distance needed to travel= 16 miles
Distance travelled= 2.7 miles
Total distance - distance travelled
16-2.7= 13.3
Therefore, Isabel needs to drive 13.3 miles more to work.
What is the area of this figure? No LINKS!!! part 2
Answer:
374 in²
Step-by-step explanation:
The attachment shows how the rectangle can be divided into three parts. The area of the whole is the sum of the areas of the parts. Working from largest to smallest we have ...
Area = sum of LW
Area = (27 in)(11 in) +(10 in)(5 in) +(9 in)(3 in)
= 297 in² +50 in² +27 in²
= 374 in²
In the table, which TWO relationships describe a function?
Name Tammy Allen Juan Keshia
Hair Color Red Brown Black Brown
Eye Color Hazel Brown Brown Blue
Responses
A Name as a function of hair colorName as a function of hair color
B Hair color as a function of eye colorHair color as a function of eye color
C Eye color as a function of nameEye color as a function of name
D Eye color as a function of hair colorEye color as a function of hair color
E Hair color as a function of nameHair color as a function of name
F Name as a function of eye color
The two relationships that describe a function in the table are A: Name as a function of hair color, and D: Eye color as a function of hair color.
A function is a relationship between two sets of values in which each element of the first set corresponds to exactly one element of the second set. In this table, for each hair color there is only one associated name, so the relationship between name and hair color is a function. Similarly, for each hair color there is only one associated eye color, so the relationship between eye color and hair color is also a function.
Note that the other relationships listed in the question (B, C, E and F) are not functions because they do not have a one-to-one correspondence between the two sets of values. For example, in the relationship between eye color and name, multiple people (Juan and Keshia) have the same eye color (brown), so this relationship does not describe a function.
Therefore, options A and D are the correct answer.
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Find A − B and B − A. (Enter your answers in list form. Enter EMPTY or ∅ for the empty set.)
The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.
To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.
However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.
Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.
To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.
Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.
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an apartment building has 15 apartments. there 5 more 2-bedroom apartments than 1- bedroom apartments. how many 2- bedroom apartments are there?
The number of 2 bedroom apartments that are there is 10.
How to illustrate the information?Let the number of one bedroom = b
Since there are 5 more 2-bedroom apartments than 1- bedroom apartments. This will be b+5.
There are 15 apartments. Therefore, the expression will be:.
b + b + 5 = 15
2b + 5 = 15.
2b = 15 - 5.
2b = 10
b = 10 / 2
b = 5
Number of 2 bedroom = b + 5 = 5+5 = 10.
Therefore, the number of 2 bedroom apartments that are there is 10.
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When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest thousands to estimate the answer
Answer:
6384 is the exact answer.
6000 is the answer rounded to the nearest thousand
Step-by-step explanation:
Answer:
6000
Step-by-step explanation:
532 X 12 = 6384 rounded would be 6000 miles a yr
answer and i give you brainlest
Answer:
Volume=l×b×h
=6×5×10 mm³
=300mm³
hen traveling by train, the average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. If the train takes 2 hours, and the average speed is 120 mph. Determine the constant of variation
A: 1/60 miles
B: 120 miles
C: 60 miles
D: 240 miles
will mark brainliest pls help
The constant of variation of the given problem is calculated as; 240 miles
How to find the constant of variation?A constant of variation (k) is defined as a ratio that represents the relationship between the independent variable (x) and the dependent variable (y).
Now, we are told that average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. Thus;
s ∝ 1/t
Thus;
s = k(1/t)
where k is the constant of proportionality
we are told that If the train takes 2 hours, and the average speed is 120 mph. Thus;
120 = k(1/2)
Multiply both sides by 2 to get;
240 miles = k
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Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?
A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:
(x, y) → (-x, y).
\(f(x) = \frac{3}{8} (4)^x\) → \(g(x) = \frac{3}{8} (4)^{-x}\)
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The perimeter of the rectangle below is 76 units. Find the value of y.
The solution is : the value of y is 7.
Here, we have,
The perimeter of a rectangle is found by
P = 2 (l+w)
P = 2( 3y+3+2y)
Combine like terms
P = 2(5y+3)
We know the perimeter is 76
76 = 2(5y+3)
Divide each side by 2
76/2 = 2/2(5y+3)
38 = 5y+3
Subtract 3 from each side
38-3 = 5y+3-3
35 = 5y
Divide each side by 5
35/5 = 5y/5
7 =y
We want the length of AD = BC = 2y
AD = 2y=2*y = 14
Hence, The solution is : the value of y is 7.
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Which graph best represents the solution set to this system of inequalities?
x + y < 1
x − y ≤ 2
A.
B.
C.
D.
©
Answer:
(3/2, -1/2)
Step-by-step explanation:
add the 2 inequalities together.
you get 2X<3 so x<3/2. plug X back in and solve for y and you get y= -1/2
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
He jogging track has a length of 792 yards how long is this in miles
By performing the division, the jogging track is 0.45 miles long.
What is division?Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.
According to given information:The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.
To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.
So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.
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what is the measurement of
Answer:
B = 24 degrees
Step-by-step explanation:
It should have 180 total
180 - 61 = 119
What is 41 + 3 HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
44
Step-by-step explanation:
Answer: 44
Step-by-step explanation:
This is quite simple, Are you sure you can't do it on your own?
63. 26 Which expressions are equal to 23 ? 123 126 26 . 33 23 33
Hey there!
(6^3 * 2^6) / 2^3
= (6 * 6 * 6 * 2 * 2 * 2 * 2 * 2 * 2) / 2 * 2 * 2
= (36 * 6 * 4 * 4 * 4) / 4 * 2
= (216 * 16 * 4) / 8
= 3,456 * 4 / 8
= 13,824 / 8
= 1,728
Looking for something that gives you the result of: 1,728
Option A.
12^3
= 12 * 12 * 12
= 144 * 12
= 1,728
Option A. is. possible answer
Option B.
6^3
= 6 * 6 * 6
= 36 * 6
= 216
216 ≠ 1,728
Option B. is incorrect
Option C.
12^6
= 12 * 12 * 12 * 12 * 12 * 12
= 144 * 144 * 144
= 20,736 * 144
= 2,985,984
2,985,984 ≠ 1,728
Option C. is also incorrect
Option D.
2^6 * 2^3
= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
= 4 * 4 * 4 * 4 * 2
= 16 * 16 * 2
= 256 * 2
= 512
512 ≠ 1,728
Option D. is also incorrect
Option E.
2^3 * 3^3
= 2 * 2 * 2 * 3 * 3 * 3
= 4 * 2 * 9 * 3
= 8 * 27
= 216
216 ≠ 1,728
Option E. is also incorrect.
Therefore, the answer should be:
Option A. 12^3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of the students participate in either sports or drama, what is the probability that a student participates in both sports and drama?
P( A Student participates in Both sports and Drama) =0.07
What is the probability?The probability of an occurrence can be determined using the probability formula by simply dividing the favorable number of possibilities by the entire number of possible outcomes.
To find the probability that a student participates in both sports and drama:
Let
A =Student participate in Sport
B = Student participate in Drama
Thus we have:
P(A) = 0.42
P(B) = 0.25
and
P(Ac and B or A and Bc) =0.53
P(Ac and B ) + P( A and Bc) =0.53
P(B) - P(A and B) + P(A) - P(A and B) = 0.53
0.25 - P(A and B ) + 0.42 - P(A and B) = 0.53
0.25+0.42 - 2 * P( A and B) = 0.53
0.67 - 2 * P(A and B) = 0.53
0.67 - 0.53 = 2* P(A and B)
0.14 = 2 * P(A and B)
0.14 / 2 = P( A and B)
0.07 = P( A and B)
that is:
P( A and B) = 0.07
P( A Student participate in Both sports and Drama) =0.07.
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The probability that a student participates in both sports and drama is \(0.14\).
What is the formula for P(AUB), where A and B are any two events?If \(A\) and \(B\) are any two events, then the probability of the joint event \((A\cup B)\) is given by the following formula: \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)
Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.
Suppose \(S\) denotes that "a student participates in sports" and \(D\) denotes that "a student participates in drama".
So, we have \(P(S)=\frac{42}{100}=0.42\), \(P(D)=\frac{25}{100}=0.25\), \(P(S\cup D)=\frac{53}{100}=0.53\).
We want to find the probability that a student participates in both sports and drama i.e., we want to find \(P(S\cap D)\).
By the above formula, we obtain:
\(P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}\)
Therefore, the probability that a student participates in both sports and drama is \(0.14\).
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Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0
Answer:
w<13
Step-by-step explanation:
Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.
Answer:
w < 1`3
Step-by-step explanation:
Isolate the variable w on one side of the inequality sign.
w+7<20
w<20 - 7
w<13.
6 more than the quotient of 9 and f
Answer:
9/f +6
Write 9/f as a fraction.
BUSINESS MATH calculate the state income tax owed on an 80,000 per year salary
$4,600
1) As we can see from the table there is a progressive tax rate, i.e. the more you earn the more you pay.
2) Earning $80,000 per year will place you on the last row, i.e. the tax is 5.75% so we can tell that:
\(80,000\times0.0575=\$4600\)Note that 5.75% is the same as 0.0575
Hence, the answer is $4,600.00
find the area of a square whose side length is (7a^2b^3)
The area of a square whose side length is (7a^2b^3) is 49a^4b^6
The formula for calculating the area of a square is expressed as:
A = L^2
L is the side length of the square
Given the following parameter
L = 7a^2b^3
Get the area of the square
A = (7a^2b^3)^2
A = 7^2 * a^4 * b^6
A = 49a^4b^6
Hence the area of a square whose side length is (7a^2b^3) is 49a^4b^6
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