Answers
Answer: C - 600cm^2
Step-by-step explanation:
Area of one triangle:
(12)(5) ÷ 2 = 30
Area of two triangles:
30 x 2 = 60
Area of top rectangle:
Step 1: Figure out side length of triangle by using pythagorean:
√a^2 + b^2 = c
√(5)^2 + (12)^2 = c
√25 + 144 = c
√ 169 = c
13 = c
Step 2: Find area of top rectangle:
(18) x (13)
234
Find area of bottom rectangle:
(18) x (12)
216
Find area of back rectangle:
(18) x (5)
90
Add all the underlined numbers:
Area of two triangles + Area of top rectangle + Area of bottom rectangle + Area of back rectangle
60 + 234 + 216 + 90 = 600cm^2
Related Questions
A farmer divided his land into 2 groups of sections randomly. There is no difference in the quality of the soil between the 2 groups of land. He used Type A seeds in the first group and Type B seeds in the second group. After 3 months, the heights of the crops are measured across the two groups of land sections. Is the study observational or experimental? If it is an experiment, what is the controlled factor?
Answers
Answer:
Experiment
Time..
Step-by-step explanation:
It is an experimental study. An experimental study is a type of study in which all conditions are under the control of the researcher.
The control factor in this case may includes the time...before measurements.
Here we must answer different things about the experiment that the farmer performed. We will see that this is an experiment and the controlled factors are:
Quality of the soil.Wheater.Hours of daylight.What he did is divide his land in two equal parts, and then use different types of seeds in each one of the two parts.
After 3 months, he measures the height of the crops.
The questions are:
Is the study observational or experimental?
It is experimental, because the farmer assigned two areas and he decided what type of seed went into each area.
If it is an experiment, what are the controlled factor?
The controlled factors are the things that are the same for both of the groups of sections and that are relevant for the growth of the seeds. These things are:
Quality of the soil.Wheater.Hours of daylight.If you want to learn more about experiments, you can read:
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QUESTION 4
The expected value can be used to calculate the overall grade for a course by using the
earned value for each grade category and its category weighted probability. Calculate the
overall grade given the following grade data:
Grade Category
Earned Value
Weighted Probability
Homework
95
20%
Quiz
80
20%
Test
75
45%
Project
90
15%
Enter your answer as a numeric. For example, if your answer is 78.23%, enter 73.23.
Answers
Answer:
82.25%
Step-by-step explanation:
95*0.2 + 80*0.2 + 75*0.45 + 90*0.15 = 82.25%
find the unit rate? 1 1/2 miles in 3/4 hour
Answers
Answer:
2 miles per hour
Step-by-step explanation:
We want to take the miles and divide by the hours
1 1/2 ÷ 3/4
Changing to an improper fraction
3/2÷3/4
Copy dot flip
3/2 * 4/3
3/3 * 4/2
2
2 miles per hour
Please answer this correctly without making mistakes
Answers
Answer:
<
Step-by-step explanation:
750,000,000 times 10^5 can be expressed as 7.5 times [tex]10^{11}[/tex]
7.55 times 10^13 is greater than 7.5 times 10^11.
Answer:
The appropriate sign that makes the statement true is <
Hope this helps you
Drag each equation to the correct location on the table.
• Solve the equations for the given variable. Then place the equations in the table under the correct solution.
x = 3
x≠ 3
Answers
Step-by-step explanation:
1) x - 5 = - 2
x = - 2 + 5
x = 3
2) - 6 + x = - 9
x = - 9 + 6
x = - 3.
3) x/4 = 6/8
Cross multiply
8x = 24
x = 24/8 = 3
4) - 14x = - 42
x = - 42/-14
x = 3
5) - 3/5 + x = 12/5
x = 12/5 + 3/5
x = 15/5 = 3
6) x/3 = 9
x / 3 - 9
x - 3
x = 3
The solution is shown below:
What is equation?A statement of equality between two expressions consisting of variables and/or numbers
x=3 x≠3
1) x - 5 = - 2 2) - 6 + x = - 9
x = - 2 + 5 x = - 9 + 6
x = 3 x = - 3.
3) x/4 = 6/8 6) x/3 = 9
x = 24 x = 27
x = 24/8
x = 3
4) - 14x = - 42
x = - 42/-14
x = 3
5) - 3/5 + x = 12/5
x = 12/5 + 3/5
x = 15/5
x = 3
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if 15/3 greater than 7, then 15/7 is less than 3 true or false
Answers
Answer:
True
Step-by-step explanation:
15/7 is about 2.14 which is less than 3
In geometry the set of all points is called ---- ?
Answers
Answer:
it may be locus. because is a set of point and line is formed the locus of points.
In geometry, the set of all points is called space.
What are collinear points?In Mathematics and Geometry, collinear points can be defined as three or more points that all lie on the same straight line (single line). This ultimately implies that, two (2) planes intersect at a line.
For example, we can infer and logically conclude that a sphere would have all points in space that are 4 units from a point.
Generally speaking, the set of all points is referred to as a space in geometry.
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A sludge pool is filled by two inlet pipes. One pipe can fill the pool in 11 days and the other pipe can fill it in 22 days. However, if no sewage is added, waste removal will empty the pool in 37 days. How long will it take the two inlet pipes to fill an empty pool? ___________ days
Answers
Answer:
i-09 vhcgcdg hdc
Step-by-step explanation:
Evaluate. Write your answer as a fraction or whole number without exponents. 3^–4 =
Answers
Answer:
1/81.
Step-by-step explanation:
3^-4 = 1 /3^4
= 1/81.
A tabletop has an area of 12 square feet and a perimeter of 16 ft. What are the dimensions of the table? 2 ft by 6 ft 2 ft by 8 ft 4 ft by 3 ft 4 ft by 4 ft
Answers
Answer:
2 ft by 6
Step-by-step explanation:
The dimensions of the table are either 2 feet by 6 feet or 6 feet by 2 feet.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Since, the area of a rectangle is:
Area = length x width
We know that the area of the table is 12 square feet,
So, we can write:
12 = length x width
And, use the formula for the perimeter of a rectangle:
Perimeter = 2 x length + 2 x width
We know that the perimeter of the table is 16 feet, so we can write:
16 = 2 x length + 2 x width
Now we have two equations with two variables (length and width), which we can solve simultaneously as.
Let's rearrange the second equation to solve for length:
16 = 2 x length + 2 x width
16 - 2 x width = 2 x length
8 - width = length
Now we can substitute this expression for length into the first equation:
12 = length x width
12 = (8 - width) x width
12 = 8w - w²
We can rearrange this equation into standard quadratic form:
w² - 8w + 12 = 0
Now we can use the quadratic formula:
where a = 1, b = -8, and c = 12
w = (-(-8) ± √((-8)² - 4(1)(12))) / 2(1)
w = (8 ± √(16)) / 2
w = 4 ± 2
Hence, w = 2
w = 6
So the possible values for the width are 2 and 6.
If the width is 2 feet, then the length is:
length = 8 - width = 6 feet
If the width is 6 feet, then the length is:
length = 8 - width = 2 feet
Therefore, the dimensions of the table are either 2 feet by 6 feet or 6 feet by 2 feet.
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Solve the system by the method of elimination.
Answers
Answer:
Hey there!
We have x+2y=5, and x-2y=5.
x+2y=5
x-2y=5
Add the x's to get 2x and the 2y's to get 0. Finally add the 5's to get 10.
Thus, we have 2x+0=10, or 2x=10.
x=5
y=0
Hope this helps :)
Answer:
x=3,y=1
Step-by-step explanation:
x+2y = 5
x-2y = 1
Add the two equations together to eliminate y
x+2y = 5
x-2y = 1
----------------------
2x +0y = 6
Divide by 2
2x/2 = 6/2
x = 3
Then solve for y
x+2y = 5
3 + 2y =5
2y = 5-3
2y = 2
Divide by 2
2y/2 = 2/2
y =1
x=3,y=1
Check
3+2(1) = 5
5=5
3-2(1)=1
1=1
if C=(a,b,x,y) and D=(m,n,o,p) then c union d is
Answers
Step-by-step explanation:
here,
C={ a,b,x,y}
D ={ m,n,o,p}
now,
C union D ={a,b,x,y} union {m,n,o,p}
= {a,b,x,y,m,n,o,p}
therefore C union D ={ a,b,x,y,m,n,o,p}
hope u get it...
A survey of enrollment at 35 community colleges across the United States yielded the following figures:
6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681; 3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493; 2771; 2861; 1263; 7285; 28165; 5080; 11622
a. Organize the data into a chart with five intervals of equal width. Label the two columns "Enrollment" and "Frequency."
b. Construct a histogram of the data.
c. If you were to build a new community college, which piece of information would be more valuable: the mode or the mean?
d. Calculate the sample mean.
e. Calculate the sample standard deviation.
f. A school with an enrollment of 8000 would be how many standard deviations away from the mean?
Answers
Answer: (a) The chart is in the first attachment named table frequency.
(b) The histogram is in the second attachment named frequency vs. enrollment
(c) Mode
(d) x = 9071.4
(e) s = 6677.64
(f) It is -0.16 standard deviation away
Step-by-step explanation:
(c) Mode is the number in the data set which appears more often. When thinking about builiding a new community college, if you choose mode will have which college enrollment will appear more often, i.e., which courses have more students wanting to enroll.
(d) To calculate sample mean of a frequency data:
1) Find the midpoint for each interval;
2) Multiply each midpoint for its correspondent frequency;
3) Sum up each multiplication obtained in the previous step;
4) Sum up all the frequencies;
5) Divide the sum in step 3 by the sum in step 4;
For this chart:
x = [tex]\frac{3000.10+7500.16+12500.3+17500.3+22500.1+27500.2}{35}[/tex]
x = 9071.4
(e) To find the standard deviation:
1) With each midpoint, calculate its square;
2) Multiply the midppoint square by its correspondent frequency;
3) Use the following formula to determine the sample standard:
s = √∑f.M² - n(μ)² / n-1
For this chart:
s = [tex]\sqrt{\frac{4396250000 - 35*(9071.4)^{2}}{34} }[/tex]
s = 6677.64
(f) To find how many standard deviations away is the enrollment:
z = [tex]\frac{8000-9071.4}{6677.64}[/tex]
z = - 0.16
8000 enrollments are -0.16 standard deviations away from the mean.
A six sided fair number cube is 100 times as part of an experiment The frequency of the role of the Number three is 20 which statement about rolling a three is correct
Answers
Answer:
8
Step-by-step explanation:
don't cheat sike i cheat
Answer: the real answer is c you can go to both places I gave you the answer in both
Step-by-step explanation:
Because I got it right please have a good day or night
How would I Evaluate 8×5÷10?
Answers
Answer:
4
Step-by-step explanation:
8×5÷10
PEMDAS says multiply and divide from left to right
40÷10
4
Answer:
4
Step-by-step explanation:
Follow the PEMDAS order of operations
8*5=40
40÷10=4
=4
OR
8x5÷10
8x0.5=4
=4
Have a good day and stay safe!
QUESTION 10
1 POINT
Karen wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for
each of 200 randomly selected students in the school. What is the sample?
Select the correct answer below:
O the 200 randomly selected students
the specific number of siblings for each randomly selected student
O all the students in the school
the mean number of siblings for the randomly selected students
O the mean number of siblings for all students in the school
B FEEDBACK
Content attribution
Answers
The correct answer is A. The 200 randomly selected students
Explanation:
In most studies, the complete population is not surveyed or studied instead, a specific number of individuals are selected, this group is known as the sample. Additionally, the sample represents the population, and due to this, their answers are used to make inferences about all the population.
According to this, the population is all the students in the school, while the sample is the 200 randomly selected students because this is the group that is going to be studied to make conclusions and inferences about all the population.
Answer:
(a)
Step-by-step explanation:
Solving by factoring
Answers
Answer:
3
Step-by-step explanation:
A penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining exactly two tails on the tosses?
Answers
p
=
0.5
of heads or tails, we can model the probability of X out of N coins landing head side up with the binomial distribution:
(=∣)=()(1−)−
P
(
x
=
X
∣
p
)
=
(
N
X
)
p
X
(
1
−
p
)
N
−
X
Substituting the probability =0.5
p
=
0.5
and =4
N
=
4
into this pdf, we get:
(=)=(4)0.50.54−
P
(
x
=
X
)
=
(
4
X
)
0.5
X
0.5
4
−
X
To get the probability that three or more heads are obtained, we sum all the probabilities for ≥3
x
≥
3
, i.e.
(≥3)=∑=34(4)0.50.54−
P
(
x
≥
3
)
=
∑
x
=
3
4
(
4
X
)
0.5
X
0.5
4
−
X
(≥3)=(43)0.54+(44)0.54
P
(
x
≥
3
)
=
(
4
3
)
0.5
4
+
(
4
4
)
0.5
4
(≥3)=4(0.54)+0.54
P
(
x
≥
3
)
=
4
(
0.5
4
)
+
0.5
4
(≥3)=5(0.54)
P
(
x
≥
3
)
=
5
(
0.5
4
)
(≥3)=5(116)
P
(
x
≥
3
)
=
5
(
1
16
)
(≥3)=516=0.3125
P
(
x
≥
3
)
=
5
16
=
0.3125
Note: This particular question is simple enough to do without the above equation. One must recognize that there are 24
2
4
possible outcomes in the sample space of this four coin flip. Four of these outcomes have one coin which landed tails (one outcome for each different value of coin) i.e. three heads, and only one outcome exists where all coins are heads. These make up 5 of the 16 possible outcomes. Each are equally likely due to the equal probability of heads or tails for each coin, so we get the same answer as above.
carlos and his friends are thinking about taking a cab home.
Answers
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
12 cubic inches
362 cubic inches
647 cubic inches
817 cubic inches
Answers
Answer:
Volume of the sphere= 113.112 cubic inch(Inch ³)
Step-by-step explanation:
First of all the formula for the volume of a sphere Is given as 4πr³
Already the radius r is already given as 3 inches
While π = 3.142
Volume of the sphere = 4/3πr³
Volume of the sphere = 4/3(3.142)(3)³
Volume of the sphere= 4/3(3.142)(27)
Volume of the sphere= 4/3(84.834)
Volume of the sphere= 339.336/3
Volume of the sphere= 113.112 Inch ³
Volume of the sphere= 113.112 cubic inch
A club has 20 women and 17 men and needs to form a committee of six members. How many committees are possible if the committee must have at least two men?
Answers
Answer:
2,022,456 committees
Step-by-step explanation:
From the above question, we are given the following information:
Number of women = 20
Number of men = 17
In order to form a committee of six members with at least 2 men, the number of ways we can do this is 5 ways and they are:
a) A committee of 6 men
b) A committee of 5 men and 1 woman
c) A committee of 4 men and 2 women
d) A committee of 3 men and 3 women
e) A committee of 2 men and 4 women
To solve for this we use the combination formula which is given as:
C(n, r) = nCr = n!/r!(n - r)!
Hence, the number of committees that are possible if the committee must have at least two men is calculated as
A committee of 6 men or A committee of 5 men and 1 woman or A committee of 4 men and 2 women or A committee of 3 men and 3 women or A committee of 2 men and 4 women
=[C(17, 6)]+ [C(17,5) × C(20,1)] + [C(17,4) × C(20,2)] + [C(17,3) × C(20,3)] + [C(17,2) × C(20,4)]
= [17!/6!(17 - 6)!] + [17!/5!(17 - 5)! × 20!/1!(20 - 1)!] + [17!/4!(17 - 4)! × 20!/2!(20 - 2)!] + [17!/3!(17 - 3)! × 20!/3!(20 - 3)!] + [17!/2!(17 - 2)! × 20!/4!(20 - 4)!]
= [12376] + [ 6188 × 20] + [2380 × 190] + [680 × 1140] + [ 136 ×4845]
= 2,022,456 committees
if f(x)=3x+2, what is f(5)
Answers
Answer:
f(5) = 17
Step-by-step explanation:
Pretty easy :)
just pluggin f(5).
f(5) = 3(5) + 2
f(5) = 15+2
f(5) = 17.
:)
f(5) = 3(5) + 2
= 15 + 2
= 17
a rectangle has a length that is 5 inches grater than is width and is area is 104 square inches, The equation (x+5) x=104 represent the situation, where x represents the width of the retangle
Answers
Answer:
width = 8 inches; length = 13 inches
Step-by-step explanation:
(x + 5)x = 104
x^2 + 5x - 104 = 0
(x - 8)(x + 13) = 0
x - 8 = 0 or x + 13 = 0
x = 8 or x = -13
Since the width of a rectangle cannot be a negative number, we discard the answer x = -13.
x = 8
The width is 8 inches.
The length is 8 + 5 = 13.
The length is 13 inches.
What is true about the functional relationship shown in the graph?
Answers
Answer:
A
Step-by-step explanation:
A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the probability that during a randomly selected hour, the organization will receive fewer than two calls.A) 0.087
B) 0.894
C) 0.317
D) 0.106
Answers
Answer:
B) 0.894
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A local animal rescue organization receives an average of 0.55 rescue calls per hour.
This means that [tex]\mu = 0.55[/tex]
Probability that during a randomly selected hour, the organization will receive fewer than two calls.
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577[/tex]
[tex]P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894[/tex]
there are 11 people in an office with 6 different phone lines. if all the lines begin to ring at once, how many groups of 6 people can answer these lines?
Answers
T_11
Expect_6 phones
This is a permutation problem
Therefore 11p6= 11!/(11-6)! = (5!*6*7*8*9*10*11)/5! = 6*7*8*9*10*11 (ANSWER)
Answer:
one group
Step-by-step explanation:
there is only one group of six people in the office since the office only has 11 people.
Please answer this correctly
Answers
Answer:
100%
Step-by-step explanation:
First, let's determine the probability for each of the conditions.
For P(greater than 2), we will have the cards 3, 4, 5, 6, 7, and 8.
For P(less than 3), we will have the cars 2.
In other words, every single card fits the conditions.
Thus, P(greater than 2 or less than 3)=7/7=100%
100%
Answer:
100%
Step-by-step explanation:
Greater than 2 is 3, 4, 5, 6, 7, 8
And less than 3 is 2 so that’s all the numbers which is 100%
For data sets having a distribution that is approximately bell-shaped, _______ states that about 68% of all data values fall within one standard deviation from the mean.
Answers
Answer:
The Empirical Rule
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
So the answer to this question is the Empirical Rule
Please answer this correctly
Answers
Answer:
0
Step-by-step explanation:
3 cards
P( odd) = 1 odd/ 3 cards = 1/3
No replacement
2 cards 6,8
No odds
P( odd) = 0/2
P( odd, no replacement, odd) = 1/2 * 0 = 0
What is the equation of the line which passes through (-0.5,-5) and (2,5)
Answers
Answer:
[tex]y = 4x-3[/tex]
Step-by-step explanation:
The coordinates are (-0.5,-5) and (2,5)
Finding the slope, m:
=> Slope = [tex]\frac{rise}{run}[/tex]
=> Slope = [tex]\frac{5+5}{2+0.5}[/tex]
=> Slope = [tex]\frac{10}{2.5}[/tex]
=> Slope = 4
Now, y-intercept, b:
Taking any of the two coordinate and putting it in the slope intercept equation:
=> Point = (x,y) = (2,5)
So, x = 2, y = 5
=> [tex]y = mx+b[/tex]
=> 5 = (4)(2) + b
=> 5 = 8 + b
=> b = 5-8
=> b = -3
Now, Putting in slope intercept equation:
=> [tex]y = mx+b[/tex]
=> [tex]y = 4x-3[/tex]
Gradient (m) = x2-x1
y2-y1
considering
y1 = -5 y2 = 5
x1 = -0.5. x2 = 2
m = 2-(-0.5)
5-(-5)
m = 5.5
10
m = 11. = 0.55
20
equation of a line is given by
y-y1 = m+(x-x1)
y-(-5) =0.55 + {x-(-0.5)}
y+5 = 0.55 + x+0.5
making y the subject
y = 0.55 +0.5 -5 + x
y = -3.95 + x