The average of aa and bb is 740.
Define arithmetic mean.The result of adding together and dividing by the total number of numbers or variables is the arithmetic mean, which is also known as the average or average value. In statistics, the arithmetic mean is significant. Central tendency is measured using the arithmetic mean. By giving each observation the same amount of weight, it enables us to determine the frequency distribution's center for a quantitative variable (in contrast to the weighted arithmetic mean).
Given,
Arithmetic mean = 1515
Total number of values = 5
Formula:
Sum/Total = Arithmetic mean
33 + 55 + 77 + aa + bb/ 5 = 1515
165 + aa + bb = 7575
aa + bb = 7575 - 165
aa + bb= 7410
The average of aa and bb is 740.
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What is wrong I need help
I don’t understand it
Answer:
Step 2 is incorrect
Step-by-step explanation:
Step 2 is where you are distributing out -5. Step 2 should be distribution rather than division property of equality.
I will give 100 pts for anwser asap Determine which integer(s) from the set S:{−24, 2, 20, 35} will make the inequality five sixths m minus five is less than one half m plus 3 false.
S:{−24, 2}
S:{35}
S:{−24, 2, 20}
S:{20}
None of the values in the given set makes the inequality false.
Given that,
To check for the expression 5m/6 - 5 < m/2 + 3, whether the set of values S:{−24, 2, 20, 35} holds or not.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
given expression,
5m/6 - 5 < m/2 + 3
5m/6 - m/2 < 3 + 5
(5m - 6m)/6 < 8
-m < 48
m > -48
Thus, none of the values in the given set make the inequality false.
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I'll give 45 points and brainiest The coordinates of the vertices of trapezoid EFGH are E(−8, 8), F(−4, 12), G(−4, 0), and H(−8, 4). The coordinates of the vertices of trapezoid E′F′G′H′ are E′(−8, 6), F′(−5, 9), G′(−5, 0), and H′(−8, 3).
Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E′F′G′H′?
Responses
Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions.
trapezoid E F G H, is congruent to , trapezoid E prime F prime G prime H prime, because you can map , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime, by translating it down 2 units and then reflecting it over the , y, -axis, which is a sequence of rigid motions.
Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.
trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime, .
Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions.
trapezoid E F G H is congruent to trapezoid E prime F prime G prime H prime because you can map trapezoid E F G H to trapezoid E prime F prime G prime H prime by reflecting it across the x -axis and then translating it up 14 units, which is a sequence of rigid motions.,
Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions.
For the given coordinates of the vertices of trapezoid EFGH and E'F'G'H' the following statement is true and explain the relationship correctly :
"Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.
trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime,"
As given in the question,
Trapezoid EFGH with coordinates of vertices:
E(−8, 8), F(−4, 12), G(−4, 0), and H(−8, 4).
Trapezoid E'F'G'H' with coordinates of vertices:
E′(−8, 6), F′(−5, 9), G′(−5, 0), and H′(−8, 3).
First option is not correct as there is no translation.
Third, Fourth, and Fifth options are not correct as both the trapezoids are not congruent.
Only option second describe it correctly which is:
Both the trapezoid are not congruent as there is no sequence of rigid motion that maps EFGH to E'F'G'H'.
Therefore, for the given coordinates of the vertices of trapezoid EFGH and E'F'G'H' the following statement is true and explain the relationship correctly :
"Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.
trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime,"
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Direct and Inverse Variations
The value of y is 24 when x is 7.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
There are direct variations
y= 24 when x=2
We need to find value of y when x =7
This can be found by forming an equation.
Let the value of unknown y be a
2/24=7/a
Apply cross multiplication
2a=24(7)
2a=168
We need to divide by 2 on both sides
a=24
Hence the value of y is 24 when x is 7.
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Find the initial population size
The numeric values for the population function are given as follows:
Initial population: 49 individuals.Population after eight years: 292 individuals.How to find the numeric value of a function or of an expression?To obtain the numeric value of a function or of an expression, each instance of the input variable in the function or in the expression is replaced by the value at which we want to find the numeric value.
The function giving the population after t years is defined as follows:
[tex]P(t) = \frac{340}{1 + 6e^{-0.45t}}[/tex]
The initial population is the numeric value at t = 0, that is, the lone instance of t is replaced by zero, hence:
[tex]P(0) = \frac{340}{1 + 6e^{-0.45(0)}} = \frac{340}{7} = 49[/tex]
After eight years, the population is given by the numeric value at t = 8, hence:
[tex]P(8) = \frac{340}{1 + 6e^{-0.45(8)}} = 292[/tex]
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PLS HELP !! ITS DUE tommorow!!
In the given square, the values of f and g are equal that is 4√3cm.
What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.So, the values of f and g are:
From the given diagram we know that ABCD is a square.So, all sides are the same.The area of ABCD is 48cm².
Now, calculate for sides as follows:The formula for the area of the square: A = s²Then,
A = s²48 = s²s = √48s = √2×2×2×2×3s = 2×2√3s = 4√3Since f and g are 2 sides of the square, their values are 4√3cm.
Therefore, in the given square, the values of f and g are equal that is 4√3cm.
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8x + 24 I was solutions
Step-by-step explanation:
8x + 24 is a simplified expression.
It is not an equation, so it can't be solved.
There are two terms in 8x + 24, 8x and 24.
The two terms are unlike terms, so they cannot be combined together.
IF T² = 4π² (h² + k²)
hg
Express k² in terms of T, g and h
The value of the expression in the form of k² will be (T²/4π²)-h²).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is T² = 4π² (h² + k²). The expression for the value of k² will be calculated as,
T² = 4π² (h² + k²)
(h² + k²) = T² / 4π²
k² = (T² / 4π²) - h²
Therefore, the value of the expression in the form of k² will be (T²/4π²)-h²).
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(sec(t)-cos(t))/sin(t)
The simplification of the trigonometric expression (sec(t) - cos(t))/sin(t) is; tan (t)
How to simplify trigonometric ratios?There are different trigonometric ratios such as;
sin x
tan x
cos x
sec x
cosec x
cot x
Now, we want to simplify the trigonometric expression;
(sec(t) - cos(t))/sin(t)
We know that;
sec (t) can be written as 1/cos t
Thus;
(sec(t) - cos(t))/sin(t) = [(1/cos t) - cos t]/ sin t
= (1/(sint cos t) - cos t/ sin t
= (1 - cos²t)/(sin t cos t)
= sin²t/(sin t cos t)
= sin t/cos t
= tan t
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In the triangle below, with right angle G, suppose that m/F= (3x-14)° and mZH=(5x-16)°.
Find the degree measure of each angle in the triangle.
The degree measure of each angle in the triangle is
∠H = 59°
∠F = 39°
Angle sum property of triangle says that sum of all the triangle is always equal to 180°
∠G is given to us as 90°
So by applying the property we an say that
90 + (3x - 14) + (5x - 16) = 180
8x = 180 - 90 + 14 + 16
8x = 120
x = 15
∠H = 5x - 16
∠H = 5*15 - 16
∠H = 75 - 16
∠H = 59°
∠F = 3x - 14
∠F = 3*15 - 14
∠F = 45 - 14
∠F = 39°
Therefore ∠H = 59° and ∠F = 39°
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an iq test is designed to have scores that have a standard deviation of . a simple random sample of students at a large university will be given the test in order to construct a confidence interval for the mean iq of all students at the university. how many students must be tested so that the margin of error will be equal to points?
The sample size required in this case is 71 pupils, which must be tested in order for the margin of error to be equal to 3 points.
When it comes to statistics, selecting a relatively small representative sample and conducting hypothesis testing on it typically makes it easier to analyze a large population. By boosting the sample size, the margin of error, which represents the sampling procedure's statistical precision, can be decreased.
From standard normal tables,
P( -2.326 < Z < 2.326) = 0.98 here
The sample size required here is computed as:
n = [(z * α) / МОЕ]² = [(2.326 * 18) / 5]² = 70.12
Therefore, the required sample size, in this case, is 71.
To ensure that the margin of error is equivalent to 3 points, 71 students must be assessed.
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COMPLETE QUESTION:
An IQ test is designed to have scores that have a standard deviation of a 10. A simple random sample of students at a torgo university will be given the test in order to construct a 95% confidence interval for the mean 10 of all students at the university. How many students must be tested so that the margin of error will be equal to 3 points? The sample size required for the desired margin of error is.(Round your answer to next whole number.)
The variable y has a proportional relationship with x as suggested by the graph. Use the graph to find the constant of proportionality.
Answer: THE ANSWER IS 26
mary invests £12000 in a savings account.
the account pays 1.5% compound intrest per year.
y is inversely proportional to x.
when y=7, x=9
a) work out an equation connecting y and x.
b) work out the value of y when x=21.
pls show step by step working out.
Using a proportional relationship, it is found that:
a) The equation is: y = 63/x.
b) When x = 21, the numeric value is of y = 3.
What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.
When the two variables are inversely proportional, we have a inverse proportional relationship, in which the output variable y is obtained by the division of k by the input variable x, as follows:
y = k/x.
For this function, when y = 7, x = 9, hence the constant is obtained as follows:
7 = k/9
k = 9 x 7
k = 63.
Hence the equation is:
y = 63/x.
The numeric value of the function when x = 21 is given as follows:
y = 63/21 = 3.
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its easy but im lazy please helppppp
y=1/58x
because in 3 hours its 174 miles.
let y=miles
x=time
so 174y=3x
divide by 3 on both sides
58y=x
isolate y by dividing by 58 on both sides
therefore you get the answer
Is it a, b, or c, and if A what goes in the box
Answer is (a) The solution set is {x | (-∞,-7)∪(5,12)}.
Given equation,
[tex]\frac{(x-5)(x+7)}{x-12} < 0[/tex]
For values (-∞,-7)
equation stands true
For values (-7,5)
equation stands false
For values (5,12)
equation stands true
For values (12,∞)
equation stands false
Hence, x ∈ (-∞,-7)∪(5,12).
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the sum of two nonzero real numbers is 44 times their product. what is the sum of the reciprocals of the two numbers?
The sum of the reciprocal of the two numbers is 44.
Let a and b be the two number
It is given that the sum of the number is equal to 44 times their product.
So from this, we get an equation:
a + b = 44 ab -------(1)
Now we have to find the sum of the reciprocal of the two numbers.
1/a + 1/b = b + a/ ab
= a + b / ab -------(2)
As from equation (1) we have
a + b/ ab = 44
Now put this value in equation (2) we get
1/a + 1/ b = 44
Therefore the sum of the reciprocal of the two numbers is 44.
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cheyenne needs to cut a piece of paper so that she has exactly 1/3 of it. if the length of the paper is 11 inches, how long will be the piece that she cuts?
The lengths of the piece she should cut is = 3 2/3
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
1/3 of 11=1/3*11=11/3=3 2/3hence,The lengths of the piece she should cut is = 3 2/3
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Ray buys a computer game for $38. He uses a coupon to receive 15% off the price of the game. After the coupon is deducted, he must pay 6% sales tax. What is the tota cost of the game, to the nearest cent? A $28.00 C. $34.58 D. $36.56
Find the least common denominator. Then express each fraction using the least common denominator. 3/4 and 5/6
I need a answer
Answer:
The least coomon denominator is 12, so
9/12 and 10/12
9500000000000000 in standard form
The expressions 25x−(6x+12) and (25x−6x)+12 are
The expressions 25x−(6x+12) and (25x−6x)+12 are equivalent expressions.
In this question we have been given two expressions 25x−(6x+12) and (25x−6x)+12
We know that the associative property of addition.
For any real numbers a, b, c
a + (b + c) = (a + b) + c
Consider an expression,
25x − (6x + 12)
= (25x - 6x) + 12 ..........(Associative property)
Therefore, the expressions 25x−(6x+12) and (25x−6x)+12 are equivalent expressions.
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Complete the function table. Function: t = 5d − 2
The table for the linear equation is summarized below:
d t
3 13
4 18
5 23
6 28
How to complete a table related to a linear function
In this problem we have a two-column table associated to a linear function, the first column of the table represent a set of values of the domain (d) of the function and the second column of the table is for the set of values of the range (t) of the same. We need to fill the second column of the table with the values associated with the range:
d = 3
t = 5 · 3 - 2
t = 15 - 2
t = 13
d = 4
t = 5 · 4 - 2
t = 20 - 2
t = 18
d = 5
t = 5 · 5 - 2
t = 25 - 2
t = 23
d = 6
t = 5 · 6 - 2
t = 30 - 2
t = 28
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Which of the following is a line that is parallel to the line defined by the equation 4x+7y=49−2x+4y?
a
3y+40=3x+10
b
y=20x+15
c
4y=10x+15
d
y=4x−2
e
2y+x=40−3x
A line parallel to the line 4x + 7y = 49 - 2x + 4y must have a slope of - 2.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given a line that is 4x + 7y = 49 - 2x + 4y.
7y - 4y = - 2x - 4x + 49.
3y = - 6x + 49.
y = - 2x + 49/3.
Now, lines parallel to each other have the same slope.
Now if we simply the given options none of the lines have a slope of - 2 so none of the given lines are parallel to the line 4x + 7y = 49 - 2x + 4y.
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Barney just bought stock in Purple Dinosaur Industries. He paid a total of $7,380. The price of the stock is $12 for one share. How many shares did he buy?
The number of shares he buy is $615.
Given that Barney just bought stock in Purple Dinosaur Industries and he paid a total of $7,380 and the price of the stock is $12 for one share.
We want to find the number of shares Barney buys.
The total amount barney should pay is $7380.
The price of the stock for one share is $12.
The total number of shares barney buy is 7380/12=615.
Hence, the number of shares barney should buy when he paid a total $7380 and the price of stock for one share is $12 is $615.
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Help please I will give brainliest this is due in an hour!!!
Answer:
yes for helena: not sure for edwin
Step-by-step explanation:
for helena, it would be a 270 cc rotation and then scale
for edwin, again im not sure, but it could be a refection and then scale
What is an equation of the line that passes through the point (2,-2)and is perpendicular to the line 5x-2y=4
Answer:
y=-0.4x - 1.2
PLEASE HELP!
629 students at a school each pay £6 to go on a school trip. How much money do they pay in total?
Show all your working.
Answer:
£3,774
Step-by-step explanation:
629 students at a school each pay £6 to go on a school trip. How much money do they pay in total?
629 * £6 = £3,774
Answer:
no of students= 629
amount paid each =£6
amount paid by all the students =no of students × amount paid each
:: 629
× 6
£3774
XY
Y
a. (1, 1) and (7,5)
The slope of the line that passes through (1, 1) and (7, 5) is 2/3
How to calculate the slope of the line?From the question, the points are given as
a. (1, 1) and (7,5)
Rewrite the above points properly
So, we have the following ordered pairs
(1, 1) and (7,5)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (1, 1) and (7,5)
Substitute the known values in the above equation
So, we have the following equation
Slope = (5 - 1)/(7 - 1)
Evaluate
Slope = 2/3
Hence, the slope of the line is 2/3
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Possible question
Find the slope of the line that passes through a. (1, 1) and (7,5)
There are 185 marbles in a bag. 40% of the marbles are blue and the rest are of other colours.
a. Find the percentage of marbles that are not blue.
b. Find the number of marbles that are not blue
Step-by-step explanation:
There are 185 marbles in a bag. 40% of the marbles are blue and the rest are of other colours.
a. Find the percentage of marbles that are not blue.
100% - 40% = 60%
b. Find the number of marbles that are not blue.
60% = 0.6
0.6 * 185 = 111 marbles
the local theater has three types of seats for broadway plays: main floor, balcony, and mezzanine. main floor tickets are $60, balcony tickets are $42, and mezzanine tickets are $40. one particular night, sales totaled $107,588. there were 152 more main floor tickets sold than balcony and mezzanine tickets combined. the number of balcony tickets sold is 432 more than 3 times the number of mezzanine tickets sold. how many of each type of ticket were sold?
z = 134 (number of mezzanine units sold)
b = 834 (number of balconies sold)
m = 1120 (number of main floor sales)
Equations:
60m + 42b + 40z = 107,588
m = b + z + 152
b = 3z + 432
Substitute for "b" to get m = 4z + 584
------
Substitute for m and b and solve for "z"::
60(4z+584) + 42(3z+432) + 40z = 107588
240z + 35040 + 126z + 18144 + 40z = 107588
406z + 53184 = 107588
406z = 54404
z = 134 (# of mezzanine sold)
Solve for "b" and for "m" using z = 134
b = 3(134) + 432
b = 834 (# of balcony sold)
m = 834 + 134 + 152
m = 1120 (# of main floor sold)
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