One interior angle of a triangle is 43°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles. 2x + 43 = 180 2x − 43 = 90 x + 43 = 180 x − 43 = 90
Answers
Answer:
x − 43 = 90
Step-by-step explanation:
2x + 43 = 180
2x − 43 = 90
x + 43 = 180
x − 43 = 90
Related Questions
Use the distributive property to remove the parentheses. -3(4v-2y-6)
Answers
-12v+6y+18
you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18
i hope this helps :)
what digit is in the ten thousand place in 796,142 what is the answer
Answers
Answer:
9
Step-by-step explanation:
2 is in the ones place
4 is in the tens
1 is in the hundreds
6 is in the thousands
9 is in the ten thousands
Answer:
The number that is in the ten thousands is 9, whose value is 90,000.
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I hope help you :)
Kind regards, Antonio.
A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 less than the number of biology textbooks sold. How many textbooks of each type were sold? Number of biology textbooks sold: number of math textbooks sold:
Answers
Answer:
b = 161, m = 111
Step-by-step explanation:
b + m = 272
m + 50 = b
Substitute
m + 50 + m = 272
2m = 222
m = 111
Plug in for m
b + 111 = 272
b = 161
Faucet filled 2gallon pot in 5/6 minute how many gallons in minute
Answers
Answer:
12/5 gallons/minute, or 2 2/5 gallons/minute
Step-by-step explanation:
Find the unit rate with time as the independent variable:
2 gallons
---------------- = 12 gallons / 5 minutes = 12/5 gallons/minute
5/6 minute
Answer:
.41666 or 5/12 Gallons per minute
Step-by-step explanation:
5/6 divided by 2
The length of a rectangle is 3m less than double the witch, and the area of the rectangle is 27m^2. Find the dimensions of the rectangle.
Answers
Answer:
the area of the rectangle is A=L•W
The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m
A=L-W
27m²=(2W-3m)-W
27m2=2w2-3m-W
2w2-3wm-27m2=0
....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)
W=
2-2
w=(3m± √9m²+216m²)
w=(3m+ √225m²)
W=(3m± 15m...you need only positive root because width cannot be negative
W= 3m+15m
4
W=. 4
18m
W=4.5m ......now find the L
L=2.4.5m-3m
L=9m-3m
L=6m
Answer:
W = 4.5cm
L = 6cm
Step-by-step explanation:
HELPPPPP WILLLLL AMRK BRAINLIESTTTTTT
Answers
Shep Company’s records show the following information for the current year:
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Determine net income (loss) for each of the following separate situations. (For all requirements, losses should be entered with a minus sign.)
a. Additional common stock of $4,600 was issued, and dividends of $8,600 were paid during the current year.
b. Additional common stock of $15,400 was issued, and no dividends were paid during the current year.
c. No additional common stock was issued, and dividends of $13,600 were paid during the current year.
.
Answers
The determination of the net income for each of the following separate situations is as follows:
Situation A Situation B Situation C
Net income $21,800 $2,400 $31,400
How is the net income determined?The formula for determining the net income (loss) for the year is:
Net Income (loss) = Ending Equity - Beginning Equity - Additional stock + Dividend Paid).
Data and Calculations:Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Situation A:
Common Stock issued = $4,600
Dividend paid = $8,600
Situation A:Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued 4,600
Dividend paid (8,600)
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$21,800 ($47,400 - $29,600 - 4,600 + 8,600)
Situation B:Common Stock issued = $15,400
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued 15,400
Dividend paid
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$2,400 ($47,400 - $29,600 - 15,400)
Situation C:Dividends paid = $13,600
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued
Dividend paid $13,600
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$31,400 ($47,400 - $29,600 + 13,600)
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Question 14 (Essay Worth 12 points)
(Comparing Data HC)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Sky View School
9, 7, 2,0
8, 7, 6, 5, 5, 5, 4, 3, 1, 0
0
1
South Lake School
5,8
0, 1, 2, 6, 6, 8
2
0 3
Key: 2|1|0 means 12 for Sky View and 10 for South Lake
5, 5, 6, 7, 8
0,6
Part A: Calculate the measures of center. Show all work. (5 points)
Part B: Calculate the measures of variability. Show all work. (5 points)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (2 points)
7
Answers
To find the measures of center, we need to determine the median for each school.
For Sky View School:
Arrange the data in order: 0, 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 7, 8, 9
The median is the middle value, which is 5.
For South Lake School:
Arrange the data in order: 0, 0, 1, 2, 2, 5, 6, 6, 8
The median is the middle value, which is also 5.
Therefore, the median class size for both schools is 5.
Part B: Measures of variability
To find the measures of variability, we need to determine the range and interquartile range (IQR) for each school.
For Sky View School:
The smallest value is 0 and the largest value is 9, so the range is 9 - 0 = 9.
To find the IQR, we need to find the first and third quartiles. The median is 5, so the first quartile is the median of the lower half, which is (0 + 1 + 2 + 3 + 4)/5 = 2. The third quartile is the median of the upper half, which is (6 + 7 + 8 +9)/4 = 7.25 (rounded to two decimal places).
Therefore, the IQR is 7.25 - 2 = 5.25.
For South Lake School:
The smallest value is 0 and the largest value is 8, so the range is 8 - 0 = 8.
To find the IQR, we need to find the first and third quartiles. The median is 5, so the first quartile is the median of the lower half, which is (0 + 0 + 1 + 2)/4 = 0.75 (rounded to two decimal places). The third quartile is the median of the upper half, which is (6 + 6 + 8)/3 = 6.67 (rounded to two decimal places).
Therefore, the IQR is 6.67 - 0.75 = 5.92 (rounded to two decimal places).
Part C: Choosing a school based on class size
If you are interested in a smaller class size, South Lake School is the better choice. This is because the range and IQR for South Lake School are smaller than those for Sky View School, indicating that the class sizes at South Lake School are more consistent and less variable. Additionally, the largest class size at South Lake School is 8, while the largest class size at Sky View School is 9, further indicating that South Lake School may have smaller class sizes overall.
Measures of center for Sky View School:
Mean = (0+1+2+3+4+5+5+5+6+7+7+8+9)/13
Mean = 4.8
Median = 5
Measures of center for South Lake School:
Mean = (0+1+2+2+3+5+6+6+8+8)/10
Mean = 4.1
Median = 5
Part B:
Measures of variability for Sky View School:
Range = 9 - 0 = 9
Interquartile Range (IQR) = Q3 - Q1 = 7 - 2 = 5
Variance = [(0-4.8)^2 + (1-4.8)^2 + (2-4.8)^2 + (3-4.8)^2 + (4-4.8)^2 + (5-4.8)^2 + (5-4.8)^2 + (5-4.8)^2 + (6-4.8)^2 + (7-4.8)^2 + (7-4.8)^2 + (8-4.8)^2 + (9-4.8)^2]/12
Variance = 7.6
Standard Deviation = √7.6
Standard Deviation = 2.76
Measures of variability for South Lake School:
Range = 8 - 0 = 8
Interquartile Range (IQR) = Q3 - Q1 = 6 - 1 = 5
Variance = [(0-4.1)^2 + (1-4.1)^2 + (2-4.1)^2 + (2-4.1)^2 + (3-4.1)^2 + (5-4.1)^2 + (6-4.1)^2 + (6-4.1)^2 + (8-4.1)^2 + (8-4.1)^2]/9
Variance = 6.45
Standard Deviation = √6.45
Standard Deviation = 2.54
Part C:
If you are interested in a smaller class size, South Lake School is a better choice for you. This is because the measures of center and variability for South Lake School are both smaller than those for Sky View School.
Point D is in the interior of
Answers
Answer:
Angle ABC,
Step-by-step explanation:
Please give more detail to your question, this doesn't help at all...
m∠ABD + m∠DBC = m∠ABC
Suppose we have already saved $55 towards the cost of a new television set.
We plan to save $6 more each week for the next several weeks.
i) Write an equation for the total amount T we will have after w weeks from now.
ii) Find the total amount that would be saved after 8 weeks.
Answers
Step-by-step explanation:
T = 55 + 6w
after 8 week $103
y=-0.024x^2+0.0791x+4.873
Answers
The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol
The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.
The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.
The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.
The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.
The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.
To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.
Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.
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What is -1 + 5(2 + 4n) = -91
Answers
Answer:
n = -5
Step-by-step explanation:
= -51/10
Solve 3^5x=10
HELP PLS
Answers
Answer:
x = 10/243
Step-by-step explanation:
3^5x = 10
243x = 10
Divide 243 on both sides
10/243
a rectangular auditorium seats 2244 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Answers
Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.
Find the number of seats in each row:
Here in the question it is given that,
a rectangular auditorium seats 2244 peoplenumber of seats in each row exceeds the number of rows by 7We have to find the number of seats in each row.
Let us assume that the number of seats in each row be x.
From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,
Number of seats in one row = Number of rows + 7
x = Number of rows + 7
⇒ Number of rows = x - 7
Total number of seats in the auditorium can be written as,
⇒ (Number of seats in one row)(Number of rows) = Total number of seats
(x)(x - 7) = 2244
x² - 7x = 2244
⇒ x² - 7x - 2244 = 0
By using quadratic formula we can find the root,
x = (-b ± √b² - 4ac)/2a
here in the question, a = 1, b = -7, c = -2244
√b² - 4ac = √(-7)² - 4(1)(-2244)
√b² - 4ac = √49 + 8976
√b² - 4ac = √9025
√b² - 4ac = 95
x = (-b ± √b² - 4ac)/2a
x = (7 ± 95)/2
x = 102/2 or x = -88/2
⇒ x = 51 or x = -44
Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.
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The graph of the function f(x) = (x − 3)(x + 1) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1, negative 4), and goes through (3, 0).
Which describes all of the values for which the graph is positive and decreasing?
all real values of x where x < −1
all real values of x where x < 1
all real values of x where 1 < x < 3
all real values of x where x > 3
Answers
The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
Which describes all of the values for which the graph is positive and decreasing?The equation of the function is given as:
f(x) = (x - 3)(x + 1)
When the value of the graph is positive, we have:
f(x) > 0
So, the function becomes
(x - 3)(x + 1) > 0
Split the above inequality
x - 3 > 0 and x + 1 > 0
Solve for x in the inequalities
x > 3 and x > -1
Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
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Kevlar epoxy is a material used on the NASA space shuttles. Strands of this epoxy were tested at the 90% breaking strength. The following data represent time to failure (in hours) for a random sample of 50 epoxy strands. Let x be a random variable representing time to failure (in hours) at 90% breaking strength.
0.52 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.12
3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.05
1.81 2.17 0.63 0.56 0.03 0.09 0.18 0.34 1.51 1.45
1.52 0.19 1.55 0.02 0.07 0.65 0.40 0.24 1.51 1.45
1.60 1.80 4.69 0.08 7.89 1.58 1.64 0.03 0.23 0.72
(a) Find the range.
(b) Use a calculator to calculate ?x and ?x2.
(c) Use the results of part (b) to compute the sample mean, variance, and standard deviation for the time to failure.
(d) Use the results of part (c) to compute the coefficient of variation.
What does this number say about time to failure?
1) The standard deviation of the time to failure is just slightly smaller than the average time.
2) The coefficient of variation says nothing about time to failure.
3) The standard deviation of the time to failure is just slightly larger than the average time.
4) The standard deviation is equal to the average.
Why does a small CV indicate more consistent data, whereas a larger CV indicates less consistent data? Explain.
1) A small CV indicates more consistent data because the value of s in the numerator is smaller.
2) A small CV indicates more consistent data because the value of s in the numerator is larger.
Answers
Answer:
range = 7.87
X = 62.12, X²= 164.3516
mean = 1.2424
variance = 1.779
standard deviation = 1.33379
coefficient of variation = 107.3559%
Step-by-step explanation:
a.) The range =
highest number - lowest number
= 7.89 - 0.02
= 7.87
b.) from the attachment I solved for X and X²
∑X = 62.12
∑X² = 164.3516
c.)
the mean = ∑x/n
n = 50
= 62.12/50
= 1.2424
variance =
σ² = [∑x²-(∑x)²/n] / n-1
= [164.3516 - (62.12)²/50] / 50-1
= 164.3516 - 77.17788/49
= 87.173712/49
= 1.779
standard deviation = √σ
= √1.779
= 1.33379
d. coefficient of variation
= σ/mean * 100
= 1.33379/1.2424 * 100
= 107.3559
This number tells us that the the standard deviation of the time to failure is larger than the average time. option 3 is the correc4 answer here
A) The range of the given values is; 7.87
B) The values of ∑X and ∑X² are respectively; 62.12 and 164.3516
C) The values of the sample mean, variance and standard deviation are respectively; 1.24, 1.78 and 1.334
D) The coefficient of variation is; 107.356
Mean, Range, variance, standard deviationA) Formula for range is;
Range = Highest term - Lowest term
Range = 7.89 - 0.02
Range = 7.87
B) Sum of all the given 50 epoxy samples is gotten to be;
∑X = 62.12
From online statistics calculator, we have; ∑X² = 164.3516
C) Formula for sample mean here is;
x' = ∑x/n
x' = 62.12/50
x' = 1.24
Formula for variance is;
σ² = [∑x² - [(∑x)²/n]]/(n - 1)
σ² = (164.3516 - (62.12²/50))/(50 - 1)
σ² = 1.78
Formula for the standard deviation is;
σ = √variance = √1.78
σ = 1.334
D) Formula for coefficient of variation is;
CV = (σ/x') * 100
CV = (1.33379/1.2424) * 100
CV = 107.356
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Rotate triangle PqR with P(-1,-3), Q(-5,-7) and R(-7,-3)270 counterclockwise about the origin. what are the coordinates of P'
Answers
The coordinates of P' after rotating triangle PQR counterclockwise by 270 degrees about the origin are P'(-3, 1).
To rotate a point counterclockwise about the origin, you can use the following rotation formula:
x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)
In this case, we want to rotate the triangle PQR 270 degrees counterclockwise. We can calculate the coordinates of each point after the rotation.
For point P(-1, -3):
x' = (-1) * cos(270°) - (-3) * sin(270°)
y' = (-1) * sin(270°) + (-3) * cos(270°)
We can simplify these equations using the values of cosine and sine for 270 degrees:
x' = (-1) * 0 - (-3) * (-1)
y' = (-1) * (-1) + (-3) * 0
Simplifying further:
x' = 0 - 3
y' = 1 + 0
x' = -3
y' = 1
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Which of the following were grown as surplus crops and used for trade in the southern colonies? Choose all that apply. tobacco wheat rice indigo
Answers
Answer:
I think it is Tobacco, rice and Indigo
Step-by-step explanation:
All of the Southern colony's like Virginia, Georgia, North and South Carolina and Maryland all had the cash crops of tobacco, rice and indigo.
Maryland's cash crops- Tobacco
Virginia's cash crops-Tobacco, Rice and Indigo
North Carolina- Tobacco
South Carolina- Rice
Georgia- Tobacco, Rice and Indigo
Hope this helped!!! :)
What are the new coordinates of point A when
it is rotated about the origin by
a) 90° clockwise?
-4
b) 180°?
c) 270° clockwise?
-3 -2 -1
Y
4-
3-
ΤΑ
2.⁰⁰
1
0
-1-
-2-
--3-
-4-
1
N.
2
3 4
X
Answers
The different coordinates after respective rotation are:
1) A'(2, 0)
2) A'(0, -2)
3) A'(-2, 0)
What are the coordinates after rotation?There are different methods of transformation such as:
Translation
Rotation
Dilation
Reflection
Now, the coordinate of the given point A is: A(0, 2)
1) The rule for rotation of 90 degrees clockwise is:
(x, y) →(y,-x)
Thus, we have:
A'(2, 0)
2) The rule for rotation of 180 degrees is:
(x, y) → (-x,-y)
Thus, we have:
A'(0, -2)
3) The rule for rotation of 180 degrees is:
(x, y) → (-y,x)
Thus, we have:
A'(-2, 0)
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A person's body mass index, B, is directly proportional their weight, w, and inversely proportional to the square of their height, h. a. (6 points) Write a single equation to express the proportionality relationship, using k as the constant of proportionality. b. (6 points) A 70 inch tall person who weighs 198 pounds has a body mass index of 28.4
Answers
The proportionality constant, k, in this case is 0.00043.
a. The proportionality relationship between body mass index (B), weight (w), and height (h) can be expressed as follows:
B ∝ w * \(h^{-2\)
where k is the constant of proportionality.
b. To find the value of the constant of proportionality, k, we can substitute the known values into the equation and solve for k.
28.4 = k * 198 * \(70^{-2\)
Solving for k gives:
k = 0.00043
Therefore, the proportionality constant, k, in this case is 0.00043.
A proportionality constant is a number that is used to indicate the ratio of two different variables that are proportional to each other. It is also known as a scaling factor or a constant of proportionality. It is usually represented by the letter k.
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What fraction with a numerator of 2 is equivalent to 48?
Answers
Answer:
\(\frac{2}{\frac{1}{24} }\)
Step-by-step explanation:
2/x = 48
48x = 2
x = (2)/ (1/24)
\(\frac{2}{\frac{1}{24} }\) = 48
The graph of a sinusoidal function intersects its midline at ( 0 , − 6 ) (0,−6)left parenthesis, 0, comma, minus, 6, right parenthesis and then has a minimum point at ( 2.5 , − 9 ) (2.5,−9)left parenthesis, 2, point, 5, comma, minus, 9, right parenthesis. Write the formula of the function, where � xx is entered in radians. � ( � ) = f(x)=f, left parenthesis, x, right parenthesis, equals
Answers
The formula of the function, where x is entered in radians is y = -3sin(πx/5) -6
What is the sinusoidal function?The key components: amplitude, period, phase shift, and vertical shift.
Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.
Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9). Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.
Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.
Hence:
Amplitude: 3Vertical shift: -6Period: 5Frequency: 1/5Phase shift: 0The general form of the sinusoidal function is y = A sin (B(x-C)) + D
So, Substituting the known values into the general formula:
y = 3 x sin((1/5)x - 0) - 6
Hence: Simplifying it will be:
y = 3 x sin(πx/5) - 6
Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6
Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.
Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).
Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.
Therefore the formula for the function is seen as: y = -3·sin(πx/5) -6
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Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and edge finish. The results of 102 parts are summarized as follows: edge finish excellent good surface finish excellent 84 4 good 5 9 Let A denote the event that a sample has excellent surface finish, and let B denote the event that a sample has excellent edge finish. If a part is selected at random, determine the following probabilities. Round your answers to three decimal places (e.g. 98.765). (a) Upper P left-parenthesis Upper A right-parenthesis equalsEntry field with correct answer .8627 (b) Upper P left-parenthesis Upper B right-parenthesis equalsEntry field with correct answer .8725 (c) Upper P left-parenthesis Upper A prime right-parenthesis equalsEntry field with correct answer .1372 (d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equalsEntry field with correct answer .8235 (e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equalsEntry field with correct answer .9117 (f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equalsEntry field with incorrect answer .9214
Answers
Answer:
a) P (A)= 88/102= 0.8627
(b) P (B)= 89/102= 0.8725
c) P (A`) = 14/102 = 0.1372
(d) P (A∩B) = 84/102 =0.8235
(e) P(AUB)= 93/102 = 0.9117
(f)P (A`UB) = 98/102= 0.96078
Step-by-step explanation:
edge
finish excellent good Total
(A )surface finish excellent 84 4 88
good ( B) ⇵ 5 9 14
Total 89 13 102
a) Upper P left-parenthesis Upper A right-parenthesis equals
P (A)= 88/102= 0.8627
All the elements of set A = 84+4= 88
(b) Upper P left-parenthesis Upper B right-parenthesis equals
P (B)= 89/102= 0.8725
All the elements of set B = 84+5= 89
c) Upper P left-parenthesis Upper A prime right-parenthesis equal
P (A`) = 14/102 = 0.1372
All the elements of Universal set U which are not elements of set A = 102- 88= 14
(d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equals
P (A∩B) = 84/102 =0.8235
Only those elements of set A and set B which are common
(e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equals
P(AUB)= 93/102 = 0.9117
Totalling elements of set A and B= 88+5= 93
(f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equals
P (A`UB) = 98/102= 0.96078
All the elements of Universal set U which are not elements of set A and the elements of Set B = 5+9+ 84= 98
Mia had $40 dollars . Then she started to receive $5 dollars a week as an allowance. She plans to save all of her money for a bicycle and draws a graph of her planned savings. Mia lets x represent the number of weeks she has received her allowance, and y represent her total amount of money. Which of the following ordered pairs is on Mia's graph?
Answers
Answer:
4,60
I am not sure but hope it helped!
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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An elevator can carry 23 adults or 30 children at one time. During the course of a day, the elevator
carries a full passenger load 44 times. If all the passengers were children, how many more people
would the elevator carry than if all the passengers were adults?
If all the passengers were children, the elevator would carry more passengers than if all the
passengers were adults.
Answers
Answer:
3
Step-by-step explanation:
PLEASE IF ANYONE CAN HELP JUST ANSWERS 1-8 (giving brainliset)
Answers
The computation of the equations is illustrated below.
How to illustrate the equation?a. x - y = 1 .... i
x + y = -9 ..... ii
Subtract the equations
-2y = 10
y = 10/-2 = -5
Since x - y = 1
x - (-5) = 1
x + 5 = 1
x = 1 - 5 = -4
b. 3x + 2y = -9
x - y = -13
Multiply equation i by 1
Multiply equation ii by 3
3x + 2y = -9
- 3x - 3y = -39
5y = 30
y = 6
Since x - y = 13
x - 6 = 13
x = 13 + 6 = 19
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Birdseed costs $0.57 a pound and sunflower seeds cost $0.87 a pound. Angela Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for $0.81 per pound. How many pounds of each type of seed should she use?
Answers
Step-by-step explanation:
x = pounds birdseed
y = pounds sunflower seeds
x + y = 30
0.57x + 0.87y = 30×0.81
with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.
from the first equation we get
x = 30 - y
and we use that in the second equation :
0.57×(30-y) + 0.87y = 30×0.81 = $24.30
17.1 - 0.57y + 0.87y = 24.3
0.3y = 7.2
y = 24
x = 30 - y = 30 - 24 = 6
she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.
7th grade math, circles and ratios. I don't get it.
please check the ones I did and didn't do.
Answers
Step-by-step explanation:
calculate the area of the shape(s) on the inside and then the area of the sphape on the outside, then subtract the inside's area from the outside shape. im still working on this one, check back in a bit.
HI PLEASE HELP!
WILL MARK THE BRAINLIEST!!
Answers
Answer:
The answer to ur question is C.) 43.5
Step-by-step explanation:
Because 43.5 is the midpoint