In the figure shown above, all the corners form right angles. What is the area of the figure in square units?
Answers
9514 1404 393
Answer:
70 square units
Step-by-step explanation:
The overall outline is 15 units wide and 8 units high, for an area of ...
A = WH
A = (15 units)(8 units) = 120 units²
__
The white space taken out of that overall area is 5 units high and 15-4-1 = 10 units wide. The area of the white space is ...
A = (5 units)(10 units) = 50 units²
__
The shaded area is the difference between the overall area and the white space taken out:
shaded = 120 units² -50 units² = 70 units²
Related Questions
Can a person train to become better at holding their breath? An experiment was designed to find out. A group of 12 volunteers were randomly assigned to 1 of 2 groups. The 6 volunteers assigned to group 1 were given breath-holding exercises to perform for 2 weeks. The other group was not given any information about the experiment. At the end of the 2 weeks, all 12 volunteers were individually tested to determine how long they could hold their breath. Here are the data (in seconds):
Group 1: 90, 88, 70, 110, 75, 105
Group 2: 40, 48, 35, 50, 55, 62
The researcher would like to determine if these data provide convincing evidence that the true mean amount of time volunteers who were given training held their breath is greater than the true mean amount of time volunteers without training held their breath. The researcher tests H0: μ1 – μ2 = 0, Ha: μ1 – μ2 > 0, where μ1 = the true mean amount of time that volunteers who were given training held their breath and μ2 = the true mean amount of time that volunteers without training held their breath. The conditions for inference are met. The standardized test statistic is t = 5.44. What is the P-value of this test closest to?
Answer is A, 0
Answers
The null hypothesis may be significantly rejected. Choose A, 0, for the closest response.
What does "true mean" refer to?In statistics, the term "true mean" refers to the true mean of a population or set of data.
It is typically unknown; hence it is estimated using inferential statistics using a sample.
For group 1, s1²= 250.67
group 2, s2² = 96.27
t= 5.44 which is the difference of mean.
Given the data values:
Group 1: 90 88 70 110 75 105
Group 2: 40 48 35 50 55 62
For group 1, n1 = 6
group 2, n2 = 6
Given that H_o= u1 - u2 = 0
H_a = u1 - u2 > 0
To find the t-test about the difference, we would use the formula to solve.
The totals are displayed below:
x1 = 538
x2 = 290
(x1-x2) ² = 1253.3334
x2-x2= 0
(X2-x2) ² =481.3334
For group 1, s1²= 250.67
group 2, s2² = 96.27
t= 5.44 which is the difference of mean.
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which expression is equivalent to (7x^3)^2 (x^8)^1/2
Answers
Answer:
Step-by-step explanation:
Round to the nearest whole dollar: $9.49
Answers
Answer: $9
Step-by-step explanation: Rounding $9.49 to the nearest dollar consider the tenths’ value of $9.49. Which is 4 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of $9.49, $9, remains $9, and the decimal point and all digits (.49) are removed.
Triangle has vertices A(-1, 3), B(-2, 1), and C(0, 4). If the triangle is reflected over the y-axis, what are the coordinates of A'?
Answers
Answer: A’ (1, 3)
Step-by-step explanation:
Reflecting in the y-axis will only reverse the x values
Find the value of x or y so that the line through the points has the given slope.
Answers
Answer:
x= -6
Step-by-step explanation:
(-1+5)/(x+3) = -4/3
4/(x+3)= -4/3
-4(x+3)= 3(4)
-4x-12= 12
-4x= 24
x= -6
Exercise 1 Usage of free production capacity
A factory has ended a non-profitable production line. As a result, there is a reasonable amount
of free production capacity available. The management team considers to use this capacity for
manufacturing one or more of the products A, B and C. Before a product can be sold it has to be
treated by 3 machines. The table below shows the available capacity per machine and the amount
of hours required to manufacture a product:
Machine type Available capacity Product A Product B Product C
(hours per week)
Machine 1
500
9
3
5
Machine 2
350
5
4
0
Machine 3
150
3
0
2
It is expected that each unit of product A and B that is manufactured can be sold, while the
number of sales of product C is at most 20 units per week. The profit per unit is 50, 20 and 25 Euro
for product A, B and C, respectively. The manufacturing team wants to maximize total profit.
Formulate this problem as a linear programming problem and explain which decision variables are
used.
Answers
Answer:
Step-by-step explanation:
At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident. a) What is the probability that you will have to deal with no more than 4 incidents of identity theft in the next year (52 weeks)
Answers
Answer:
At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident.
Step-by-step explanation:
The probability that you will have to deal with no more than 4 incidents of identity theft in the next year is 30.08 %
What is a Binomial Distribution?
The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 )
Now , the success is one of your customers once every 9 weeks
So , p = 1/9
q = 1 - p = 8/9
x = 4
Number of trials n = 52 weeks
And , the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 ) is
P ( x ≤ 4 ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
Substituting the values in the equation , we get
P ( x ≤ 4 ) = [ 52! / ( 48 )! 4! ] ( 1/9 )⁴( 8/9 )⁴⁸
On simplifying the equation , we get
P ( x ≤ 4 ) = 0.3008
P ( x ≤ 4 ) = 30.08 %
Therefore , the value of P ( x ≤ 4 ) is 30.08 %
Hence , the probability of no more than 4 incidents is 30.08 %
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-7(-2y-x+3)
7(-2y-x+3)
Answers
Answer:
14y+x-21
-14y-x+21
Step-by-step explanation:
Need help ASAP plz !!!!!
Answers
Answer:
yep that is correct!
Step-by-step explanation:
Theorem of Pythagoras
hopefully the picture is clear and understandable!
:)
Tultiplication and Division
17. During the last basketball season, Tanisha played in 16 games and averaged
18 points per game. Find her total points by using the verbal model below
to write and solve an equation.
Total points
Average points
per game>
Number of games played
18. A printer prints documents at a rate of 12 pages per minute, A copier
copies documents at a rate of 10 pages per minute.
a. Write and solve an equation to find the time it takes to print a 24-page
research paper.
auntion to find the time it takes to copy a 50-page
Nii
Answers
Answer:
288 points
2 minutes
5 minutes
Step-by-step explanation:
Given that :
Average point per game = 18 points
Number of games played = 16
Total points claimed = number of games played * average points per game
Total points = 18 * 16 = 288 points on average
Print rate = 12 pages per minute
Copying rate = 10 pages per minute
To print a 24 page research paper :
Time taken = number of pages / printing rate
Time taken = 24 / 12 = 2 minutes
To copy a 50 page paper :
Time taken = number of pages / copying rate
Time taken = 50 / 10 = 5 minutes
Assume that random guesses are made for six multiple choice questions on an SAT test, so that there are n = 6 trials, each with probability of success (correct) given by
p=0.35. Find the indicated probability for the number of correct answers.
Find the probability that the number of correct answers is fewer than 4.
P(X<4)=0
(Round to four decimal places as needed)
Answers
Answer:
0.9830 = 98.30%
Step-by-step explanation:
The radius of a semicircle is 4 millimeters. What is the semicircle's perimeter?
Answers
Answer:
20.57
Step-by-step explanation:
what is 90divided by 9??
Answers
Answer:
10 bc 9 • 10 = 90
Step-by-step explanation:
Which ratio is the same as 2/3?
Answers
Answer:
The ratio 2 : 3 is the same as the ratio of 6 : 15.
I dont know if that the same at what you refer.
Answer:
4/6, 6/9, 8/12, 10/15
Step-by-step explanation:
Basically you keep adding 3 to the denominator, and multiply the numerator by 2
ANSWER ASAP! WILL MARK BRAINLIEST!
Select all the correct answers.
Which two tables represent the same function?
х|у
4|8
6|7
х|у
4|5
6|4
х|у
2|8
8|5
x|y
2|10
6|14
x|y
2|9
8|6
Answers
Answer:
The first and last set
y = (-1/2) + 10
Step-by-step explanation:
Two points form a line
The first and last set have a slope of -1/2
and b intercept of 10
х|у
4|8
6|7
y = (-1/2) + 10
and
x|y
2|9
8|6
y = (-1/2) + 10
The requried, tables that represent the same function are tables 1 and 3.
What is function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and range, in which each element in the domain is associated with exactly one element in the range.
Here,
The tables that represent the same function are:
x|y
4|8
6|7
x|y
2|8
8|5
For two tables to represent the same function, they must have the same output for the same input. In the first table, input 4 gives output 8 and input 6 gives output 7. In the second table, input 2 gives output 8 and input 8 gives output 5. Therefore, these two tables represent the same function.
The other tables do not represent the same function, as they have different outputs for the same input values.
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Question 8
5 pts
ve
Education
Dale conducted a survey of students in his classes to see the distribution of eye color.
The results are shown:
Eye color
Number
Blue
12
Brown
58
Green
2
Hazel
8
If the distribution of eye color in Dale's grade is similar to the distribution in his classes,
about how many of the 360 students in his grade would be expected to have brown
eyes?
0 54
Answers
Answer: 10%
Step-by-step explanation:
can i have brainliest
Which function is shown in the graph below? On a coordinate plane, a function is shown. The curve starts in quadrant 4 and curves up to quadrant 1. It goes through (0.5, negative 0.4), (1, 0), and (6, 1). y = log Subscript one-sixth Baseline x y = log Subscript 0.5 Baseline x y = log Subscript 1 Baseline x y = log Subscript 6 Baseline x
Answers
Answer:
c
Step-by-step explanation:
The y-values of the graph increases as the value of x increases, which
indicates that a characteristic of the base of the logarithm function.
Correct response:
The function that corresponds with the graph is; [tex]\underline{\mathrm{y = log_6 x}}[/tex]How can the function of a log graph be determined?The given points on the graph are;
The point where the graph starts = Quadrant 4
Direction of the graph = From quadrant 4 to quadrant 1
Points on the graph are;
(0.5, -0.4), (1, 0), and (6, 1)
The given options are;
[tex]y = \mathrm{log_{\frac{1}{6} } x}[/tex]
[tex]y = \mathrm{log_{0.5} x}[/tex]
[tex]y = \mathrm{log_1 x}[/tex]
[tex]y = \mathrm{log_{6} x}[/tex]
From the shape of the graph, in which, log x increases as x increases, therefore;
The base, b, of the logarithm is larger than 1, given that we have;
[tex]\mathbf{log_bx} = y[/tex]
[tex]\mathbf{b^y} = x[/tex]
From the given coordinate points, x increases as y increases, therefore;
b > 1
The possibly option is therefore, y = log₆x
Verifying, we have;
At x = -0.4, y = 0.5
[tex]b^y = x[/tex]
[tex]6 ^{(-0.4)}[/tex] ≈ 0.488
Therefore, the point (0.5, -0.4) is close to the graph of y = log₆x
At the point (1, 0), we have;
6⁰ = 1
Therefore, the point (1, 0), is on the graph of y = log₆x
At the point (6, 1), we have;
6¹ = 6
Therefore, the point (6, 1) is on the graph of y = log₆x
The function of the graph is therefore;
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How do you make an array of 5/6 x 3/4 ?
Answers
If y varies jointly as x and z and y = 12 when x = -2 and z=3, find y when x is 4 and z is -1
A. 6
B. 9
C. 4
D. 8
Answers
Answer:
D. 8
Step-by-step explanation:
y varies jointly as x and z
y = k(xz)
-------------------------
Find k, the constant of variation
y = 12 when x = -2 and z=3
12 = k(-2 * 3)
12 = k(-6)
k = -2
-------------------------
find y when x is 4 and z is -1
using k = -2
y = -2(4 * -1)
y = -2(-4)
y = 8
What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+10y + 25 = 0 ?
O A. Center (3,-5); radius 9
B. Center (-3, 5); radius 3
C. Center (3,-5); radius 3
D. Center (-3, 5); radius 9
Answers
Answer: Center (3,-5); radius 3
Step-by-step explanation:
The center and radius of the circle defined by the equation is (3, -5) and 3.
What is Equation of Circle?The standard equation of a circle is given by:
(x-h)² + (y-k)² = r²
Where (h,k) is the coordinates of center of the circle and r is the radius.
We have Equation,
x² + y² -6x + 10y +25= 0
Now, rearranging the terms
x² -6x + y² +10y +25 = 0
Now, add and subtract 9
x² -6x + 9 + y² +10y +25 -9 = 0
(x-3)² + (y+5)² = 3²
(x- 3)² + y(-(-5))² = 3²
So, the Centre of Circle is (3, -5) and the radius is 3.
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Which statements are true?
Select each correct answer.
A. All triangles have 3 straight sides.
B. Only some triangles are polygons.
C. All triangles are plane figures.
D. All triangles have 3 angles.
E. All triangles have one right angle.
Answers
Answer:
C. c. c.c.c.cc.c.c.
Step-by-step explanation:
Cherri filled out a deposit slip today. She deposited two checks for $56.13 and $22.10 and took out $20 in cash.
What was her net deposit?
Answers
Answer:
$58.23
Step-by-step explanation:
Let's say y is her net deposit. The equation you would want to use is y = 56.13 + 22.10 - 20.
What is the volume of the cube
Answers
Answer:
the answer should be V = a³=2³=8cm³
Answer:
8cm
Step-by-step explanation:
The volume of a cube is length x width x height. If it a equal cube, all sides should be the same. Meaning that 2 x 2 x 2, equaling 8 would be the answer.
4 × 7/8 = ? 4 × 6/8 =?
Answers
Answer:
4 × 7/8 = 3.5
Step-by-step explanation:
4 × 6/8 = 3
Answer:
3.5 and 3
Step-by-step explanation:

Pls someone help me
Answers
triangle 1
10 x 12 = 120
120/2 = 60
triangle 2
10 x 12 = 120
120/2 = 60
triangle 3
18 x 12 = 216
216/2 = 108
triangle 4
18 x 12 = 216
216/2 = 108
add
108 + 108 + 60 + 60 = 336 square units
8. Multiple Choice: Which equation is the factored form of x2 + 2x - 3 = 0?
a) (x - 1)(x + 3) = 0
b) (x - 1)(x - 3) = 0
c) (x - 3)(x + 1) = 0
d) (x+3)(x + 2) = 0
Answers
Answer:
X= 1
Y= -3
Factor and set each factor equal to 0
The slope of the line that passes through the point (-2, -4) and (-3, -8) is ______
Answers
Answer:
4
Step-by-step explanation:
We know ,
Slope = difference of y co ordinate / difference of x coordinate
=> m = -8+4/-3+2
=> m = -4/-1
=> m = 4
The measure of an angle is 61.3 degrees. What is the measure of its complementary angle?
Answers
Answer:
118.7
Step-by-step explanation:
180-61.3
Theorem: In any circles the same ratio of arc length to radius determines a unique central angle that the arcs subtend:
and conversely, equal central angles determine the same ratio of arc length to radius.
Prove the theorem above using the definition of the radian measure of an angle.
Answers
Complementary and supplementary angles
Answers
Supplementary angles- equal 180º
That little box in the corner of the figure indicates 90º, meaning it will be formed by complementary angles
So, to find xº, subtract the known angles from the total 90
90-29 = 61º
Thus, xº is 61º