Answers
Answer:
109.59m^3
Step-by-step explanation:
Hope you would understand from the attachment; attachment is a bit blurred at the moment so can't attach it at the moment...not much lightning at my end.
Volume is that of the suppose big pyramid - the suppose small pyramid.
The angle is 45degrees from my calculation.
Volume of big pyramid = (256√2 )/3
Volume of small pyramid= (32√2)/3
256√2 )/3-(32√2)/3= (224√2)/3
The volume of the given trapezoidal prism is 84 m³
What is a trapezoidal prism?A trapezoidal prism is a three-dimensional solid consisting of two identical trapezoidal faces joined together by four rectangular faces.
Given is a trapezoidal prism, we need to find its volume,
So, the volume will be given by = area of the trapezoid x length
= (8+4)x3.5 / 2 x 4
= 84
Hence the volume of the given trapezoidal prism is 84 m³
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Related Questions
There is also another answer and it is “nether”
Answers
Answer:
It’s only sequence A I think
Step-by-step explanation:
I hope this was helpful
Answer:
Sequence A
Step-by-step explanation:
Lili needs to buy colored pencils . She buys 1 red , 2 yellow and 2 blue pencils . In tatal , she will buy 25 colored pencils . How many yellow pencils will lili expect to buy ?
Answers
Answer:
1+2+2+20=25 yellow pencils
What is the area of trapezoid ABCD in square centimeters?
Answers
Answer:
99
Step-by-step explanation:
Area of trapezium = 1/2 × (sum of parallel sides × height)
The parallel sides of the trapezium are the left and right edge.
( 9 + 13) = 22
The height is the vertical distance between the parallel sides and when you turn the shape 90degrees towards the left, we would have the parallel sides been the bottom and top edge and the vertical height between will be 9
Hence the area = 1/2 × 22 × 9
= 11 ×9 = 99
You would add the unit if measure.
PLEASE HELP ???
????
Answers
Answer:
Option (3)
Step-by-step explanation:
From the given figure,
Two triangles ΔABC and ΔDEF are similar.
ΔABC ~ ΔDEF
By the definition of similarity of two triangles, corresponding sides of the similar triangles are in the same ratio.
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
Now from this relation,
[tex]\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{DF}{EF}=\frac{AC}{BC}[/tex]
Therefore, Option (3) will be the correct proportionality statement.
I’m thinking of an integer. Half of this integer is 3 more than one third of the next integer. What is the integer?""
Answers
Answer:
I think its 6
Step-by-step explanation:
half of 6 is 3
Karen bought 4⁄5 pound of broccoli and 2⁄10 pound of cauliflower. How many more pounds of broccoli did she buy?
Answers
Answer:
6/10 or 3/5
Step-by-step explanation:
4/5 = 8/10
8/10 - 2/10 = 6/10 or 3/5
⅗ or 6/10
Step-by-step explanation:
4/5=8/10
8/10-2/10=6/10 or ⅗
plz help Marshmello i have 15 more
Answers
Answer:
53
Step-by-step explanation:
so you would subtract 30 from 401 to get 372 then divide it by the number of buses in this case it's 7 to get 53
What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base
diameter of 10cm? Round to the nearest tenths place.
Answers
Answer:
549.8 cm (cubed)
Step-by-step explanation:
D3lt4 m4th 4n$wer
In the year 2001 Youth Risk Behavior survey done by the U.S. Centers for Disease Control, 747 out of 1168 female 12th graders said they always use a seatbelt when driving. Please construct a 98% confidence interval for the proportion of 12th-grade females in the population who always use a seatbelt when driving. 1) Use R to find the score CI for the proportion of 12th-grade females in the population who always use a seatbelt when driving (please round to 4 decimals).
Answers
Answer:
98% of confidence interval of Population proportion is determined by
(0.60683 ,0.67217)
Step-by-step explanation:
Given the sample size n = 1168
Given 747 out of 1168 female 12th graders said they always use a seatbelt when driving
The sample proportion 'p' = [tex]\frac{x}{n} = \frac{747}{1168} = 0.6395[/tex]
98% of confidence interval of Population proportion is determined by
[tex]p^{-} -Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^-)}{n} }, p^- +Z_{\frac{\alpha }{2} } \sqrt{\frac{p^-(1-p^-)}{n} } }[/tex]
The tabulated value Z₀.₀₂ score = 2.326
[tex](0.6395 -2.326 \sqrt{\frac{0.6395(1-0.6395)}{1168} }, 0.6395 +2.326 \sqrt{\frac{0.6395(1-0.6395)}{1168} } })[/tex]
on calculation , we get
(0.6395 -0.03267 , 0.6395 +0.03267)
(0.60683 ,0.67217)
Suppose that you are in charge of evaluating teacher performance at a large elementary school. One tool you have for this evaluation is reports of the average student reading test score in each classroom. You also know that across the whole school, the average student reading score was 80 points and the standard deviation in scores was 10 points.
Determine:
(a) If each class has 25 students in it, what is the standard error of the classroom average score?
(b) In what range do you expect the average classroom test score to fall 95% of the time?
(c) What is the approximate probability that a classroom will have an average test score of 79 or higher?
(d) Do you think the probability that a classroom has an average test score of 79 or higher would be greater or smaller if there were only 15 students in a class? Explain your answer in 2-3 sentences.
(e) Do you think the probability that a classroom has an average test score of 79 or higher would be greater or smaller if the standard deviation of individual student reading scores was only 5 points (instead of 10)?
Answers
Answer:
a) Standard error = 2
b) Range = (76.08, 83.92)
c) P=0.69
d) Smaller
e) Greater
Step-by-step explanation:
a) When we have a sample taken out of the population, the standard error of the mean is calculated as:
[tex]\sigma_m=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{25}}=\dfrac{10}{5}=2[/tex]
where n is te sample size (n=25) and σ is the population standard deviation (σ=10).
Then, the standard error of the classroom average score is 2.
b) The calculations for this range are the same that for the confidence interval, with the difference that we know the population mean.
The population standard deviation is know and is σ=10.
The population mean is M=80.
The sample size is N=25.
The standard error of the mean is σM=2.
The z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
[tex]MOE=z\cdot \sigma_M=1.96 \cdot 2=3.92[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=M-t \cdot s_M = 80-3.92=76.08\\\\UL=M+t \cdot s_M = 80+3.92=83.92[/tex]
The range that we expect the average classroom test score to fall 95% of the time is (76.08, 83.92).
c) We can calculate this by calculating the z-score of X=79.
[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{79-80}{2}=\dfrac{-1}{2}=-0.5[/tex]
Then, the probability of getting a average score of 79 or higher is:
[tex]P(X>79)=P(z>-0.5)=0.69146[/tex]
The approximate probability that a classroom will have an average test score of 79 or higher is 0.69.
d) If the sample is smaller, the standard error is bigger (as the square root of the sample size is in the denominator), so the spread of the probability distribution is more. This results then in a smaller probability for any range.
e) If the population standard deviation is smaller, the standard error for the sample (the classroom) become smaller too. This means that the values are more concentrated around the mean (less spread). This results in a higher probability for every range that include the mean.
Which of the following could be the equation of the function below?
On a coordinate plane, a curve crosses the y-axis at y = negative 3. It has a maximum at y = 1 and a minimum at y = negative 3. It goes through 1 cycle at pi.
y = negative 2 cosine (4 (x + pi)) minus 1
y = 2 cosine (x + pi) + 1
y = negative 2 cosine (2 (x + pi)) minus 1
y = 2 cosine (4 (x + pi)) + 2
Answers
Answer:
y = negative 2 cosine (2 (x + pi)) minus 1
Step-by-step explanation:
The amplitude of the trig function will be half the difference of the minimum and maximum, so is ...
A = (1 -(-3))/2 = 2
The coefficient of x is 2π divided by the period, so is ...
B = (2π)/π = 2
The vertical offset is the average of the maximum and minimum:
C = (1 +(-3))/2 = -1
Since the extreme negative value is at x=0, this can be the opposite of the cosine function:
y = -A·cos(Bx) +C
The answer choices have a horizontal offset of pi, which does nothing, since the period is pi.
y = -2cos(2(x+π)) -1
Answer:
C on E2020.
Step-by-step explanation:
8/9 Divided by 6/9 = ?
A. 17/54
B. 16/27
C. 4/3
D. 24/5
Answers
Answer:
4/3
Step-by-step explanation:
[tex] \frac{8}{9} \div \frac{6}{9} \\ \\ \implies \: \frac{8}{9} \times \frac{9}{6} \\ \\ \implies \: \frac{8}{1} \times \frac{1}{6} \\ \\ \implies \: {\boxed {\purple{\frac{4}{3} }}}[/tex]
Imagine that there are 100 different researchers each studying the sleeping habit of a college freshman. Each researcher takes a random sample size of 50 from the same population of freshman. Each researcher is trying to estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean. Approximately how many of these 100 confidence will not capture the true mean
Answers
Answer:
Approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Step-by-step explanation:
The (1 - α)% confidence interval for population mean implies that there is a (1 - α) probability that the true value of the mean is included in the interval.
Or, the (1 - α)% confidence interval for the mean implies that there is (1 - α)% confidence or certainty that the true mean value is contained in the interval.
And, if 100 such (1 - α)% confidence interval for the mean are computed then 95 of these 100 interval will consist of the true mean value.
In this case it is provided that 100 researchers estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean.
Then approximately 95 of these 100 confidence intervals will capture the true mean hour of sleep freshman get at night. And approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Rob's boss gave him $100 to buy 7 lunches for a team meeting, After buying the lunches he had $14.25 leftover, How
much did each lunch cost?
A)
$11.75
B)
$12.25
C)
$12.50
D)
$12.75
Answers
Answer:
Each lunch cost $12.25
Step-by-step explanation:
Subtract 14.25 from 100 and then divide that by 7
I need help with this question, I attached a file, so it’s easier to read.
Answers
Hello there!
The median is the middle of the data set. Since we only have 7 numbers, we can arrange it from greatest to least, however the program has already done that. So, to find the median for this data set, all we have to do is simply find the middle number. The median would be 9 for this data set.
Answer:
9
Step-by-step explanation:
The median is the middle number of the set when ordered from least to greatest. We don't have to worry about that because it's already ordered like that. In this case, since there are 7 numbers, the median must be the 4th one, which is 9.
Petra has 12 pound and ski has nothing. They both receive the same money for doing a delivery job.
Now Petra has three times as much as ski.
How much did they get for the job?
Answers
Answer:
6 pounds
Step-by-step explanation:
Originally
Petra : 12 pounds
Ski: 0 pounds
Delivery job
Petra & Ski: Same amount.
Represent amount with 'D'
Total Amount
Petra: 12 + D pounds
Ski: D pounds.
Petra has three times as much as Ski, meaning
12 + D = 3 (D)
12 + D = 3D
12 = 3D - D
12 = 2D
Divide both sides by 2
6 = D...
Which is the graph of F(x)= sqrt 4x
Answers
The graph of f(x) = sqrt(4x) looks like this
So choose the one that looks like the image attached
The graph has been plotted.
What is a Graph?Graph is a mathematical representation of relation between two objects.
A graph is plotted between two variables that depicts the relation between them which is helpful in prediction of the pattern of the function that it is following.
A function is a relation between a dependent and an independent variable.
The domain and range of a function is always defined.
A domain is the value that can be an input to the function and a range is all the possible output value that can be obtained from the function.
The function is
F(x)= √4x
A square root is the factor of a number when multiplied by itself gives the number itself.
A square root function is also called as a radical function represented by
y = √x
the domain of f(x)=√x is x≥0 and the range is y≥0
The graph of the function is plotted and attached with the answer.
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Through how many radians does the minute hand of a clock turn in 24 minutes?
Answers
Answer:
4/5π
Step-by-step explanation:
30 minutes corresponds to π radians, so 24 minutes is ...
(24/30)π = 4/5π radians
z\10 = -12 solve for z
Answers
Answer:
z=-120
Step-by-step explanation:
z\10 = -12
z=-12 x 10
z=-120
Answer:
120
Step-by-step explanation:
z divided by 10 is -12
z is equal to -12 times 10
z equals -120
Evaluate 5x3 - 2 + 7 when x= -2.
Answers
Answer:
-995
Step-by-step explanation:
5(-2)^3 - 2 + 7
first you would multiply the 5 by -2
(-10)^3 - 2 + 7
then the exponents
-1000 - 2 + 7
then you would subtract -1000 by 2
-1002 + 7
then add the 7
-995
PLEASE HELP ?
Find the length of BC
A: 72
B: 54
C: 40.5
D: 108
Answers
Answer:
its 72
Step-by-step explanation:
i did itand it showed 72
Which number represents the country of Egypt
A) 1
B) 2
C) 3
D) 4
Answers
Answer:
2
Step-by-step explanation:
the way I remember is that Egypt is always the top right country
2 is the number represents the country of Egypt. Hence, option B is correct.
What country does Egypt belong to?In 1922, modern Egypt attained independence. Egypt and Syria formed the United Arab Republic from 1958 to 1961. The Arab Republic of Egypt, as it is officially known, has a surface area of 1 million km2, which is more than twice the size of the US State of California or roughly twice the size of France.
Egypt's history as a British colony lasted from 1882, when British troops invaded it during the Anglo-Egyptian War, to 1956, during the Suez Crisis, when the last British troops left Egypt in accordance with the 1954 Anglo-Egyptian Accord.
Modern Standard Arabic, which is used in most written documents and educational institutions, is Egypt's official language. Nevertheless, Modern Standard Arabic primarily describes Arabic's literary form, which is
Thus, option B is correct.
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Which is greater: 5 yards or 150 inches?
Answers
Answer:
5 yards.
Step-by-step explanation:
5 yards = 180 inches
the expression that represents the following statement: add 24 to the quotient of 16 and 8.
Answers
Answer:
26
Step-by-step explanation:
The quotient of 16 and 8 = 16/8 = 2
24 + 2 = 26
Answer:
16/8 +24
Step-by-step explanation:
The quotient of 16 and 8 is written as ...
16/8
If we start with this as the first element of the sum then the sum that represents 24 added to this is ...
16/8 +24
0.12109375 fraction
Answers
Answer:
31/256
Step-by-step explanation:
0.12109375 = 12109375/100000000
= 31/256
Dividing numerator and denominator by 390625.. we have the simplest solution
You can start out by dividing by 5 the numerator and denominator.you would see this division by 5 goes on 8 times
Or you can start out dividing both numerator and denominator by 25, we see this division goes on 4 times
Answer:
Step-by-step explanation:
0.12109375
=[tex]=\frac{12109375}{100,000,000} \\=\frac{484375}{4,000,000} \\=\frac{19375}{160000} \\=\frac{775}{6400} \\=\frac{31}{256}[/tex]
find the output, g, when the input, r, is 4.
g = 25 - 3r
g = __
Answers
Answer:13
Step-by-step explanation:
g=25-3(4)
25-12
g=13
Hope this helps
Answer: g = 13
Step-by-step explanation:
g = 25 - 3r
g = 25 - 3(4)
g = 25 - 12
g = 13
omeone hacked into an employee's computer and erased all of their data. All data for the past three weeks was lost as that was when the employee last performed a backup. Which type of network is the company more than likely using?
Centralized
Client server
GUI
Peer-to-peer
Answers
Answer:
GUI
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Client Server
(N) Northeast
(M) Midwest
(T) South
(W) West
(N) (M) (T) (W) Total
2009 (A) 0.9 1.2 1.9 1.2 5.2
2010 (B) 0.8 1.1 1.9 1.2 5.0
2011 (C) 0.8 1.1 1.9 1.1 4.9
Total 2.5 3.4 5.7 3.5 15.1
Use symbols to describe the given set.
The set of sales of existing homes in 2010 in the West and Midwest
Which one?
W ∩ (B ∪ M)
B ∪ (W ∪ M)
B ∩ (W ∪ M)
B ∩ (W ∩ M)
W ∪ (B ∪ M)
Compute its cardinality.
? million
Answers
Answer:
B ∩ (W ∪ M)2.3 millionStep-by-step explanation:
Apparently, these sets represent sales of existing homes. Then (values of) the homes sold in 2010 are those listed in set B.
The English wording "West and Midwest" doesn't actually mean homes that are categorized as both West and Midwest. There aren't any such homes, because these sets are mutually exclusive. That wording logically means "West or Midwest", so would represent the union W ∪ M.
Then the homes in W∪M that were sold in 2010 will be ...
B ∩ (W ∪ M) . . . . . matches the 3rd choice on the list
_____
The "cardinality" of a set is the number of elements in the set. Since the sets B and W and M are not shown, we cannot tell the cardinality.
Here, that word is apparently intended to mean the sum of the numbers designated as W and as M. For 2010, we have W=1.2, M=1.1, so ...
for 2010, W +M = 1.2 +1.1 = 2.3 . . . million
A rectangle on a coordinate plane has vertices Q(Negative 1, 1), R(6, 1), S(6, Negative 8), and T(Negative 1, Negative 8). What are the dimensions of the rectangle?
Answers
Answer:
The base is 7 and the height is 9.
Step-by-step explanation:
Answer:
The base is 7 and the height is 9.
Step-by-step explanation:
i got it correct on edge
verified answer
The equation of the line that goes through the point ( 3 , 4 ) and is parallel to the line 3 x + 4 y = 2 can be written in the form y = m x + b
Answers
Answer:
y = -3/4x + 7/4
Step-by-step explanation:
For it to be parallel it needs the same slope. We can find this by putting the equation 3x + 4y = 2 into y = mx + b form and using the m.
3x+4y=2 can be written as y= -3/4x + 1/2
so the m for our new equation is -3/4
now to find b we just plug in the given point
y = -3/4x + b
4 = -3/4(3) + b
b = 4 + (-9/4)
b = 7/4 or b = 1.75