Volume of the top of the prism: 460 cm^3
Volume of the bottom of the prism: 1 768 cm^3
Total volume of the figure: 2 228 cm^3
Explanation:
Volume of the top of the prism:
. Since it is a prism from trapezoid
. . Volume = Area of the trapezium base * heights between trapezium ends
\(\begin{gathered} Area\text{ of a trapezium base}=\frac{top\text{ base+bottom base}}{2}*height \\ ...\text{ =}\frac{6+17}{2}*(22-17) \\ ...=\frac{23}{2}*5 \\ Area\text{ = 57.5 cm}^2 \end{gathered}\)\(Volume=57.5*8=460\text{ }cm^3\)Volume of the bottom prism:
. Since the price has a rectangular base:
Volume = Area of one base * height between reactangular bases
Area of one base :
\(17*13=221\text{ }cm^2\)Volume:
\(221*8=1\text{ }768\text{ }cm^3\)Total volume of the figure:
Volume of the top + Volume of the bottom = Total volume
\(221+1\text{ }768=2\text{ }228\text{ }cm^3\)NB:
To find any volume of a given prism, start with finding the area of one base, then multiply that area by the height (in other words the sides that link the two bases)
given a binary-class classification problem in which the class labels are binary, the dimension of feature is d, and each attribute can take k different values. please provide the numbers of parameters to be estimated with and without the simplifying assumption. please explain your answer. briefly justify why the simplifying assumption is necessary.
For binary class classification, assumptions are necessary in a way:
Given that
From Boyer Naive classifier,
We evaluate (ai | vj) is given below
(ai | vj) = n(e) + m(p) / n + m
Here,
m = equivalent sample size
n(e) = number of training examples
for which v = vj and a = ai
n(i) = number of training example for which v = vj
P = a prior estimate for P(ai | vj)
Here, we calculate that
P(SUV | yes), P(Red | yes), P(Domestic | yes)
P(SUV | no), P(Red | no), P(Domestic | no)
We evaluating this value like
yes:
RED : SUV: DOMESTIC:
n = 5 n = 5 n = 5
n(c) = 3 n(c) = 1 n(c) = 2
P = 0.5 P = 0.5 P = 0.5
m = 3 m = 3 m = 3
Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.
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This morning, Kendall drank a cup of coffee that had 95 milligrams of caffeine in it. She didn't have any more caffeine for the rest of the day. Kendall read online that the amount of caffeine in her body will decrease by approximately 13% each hour. Write an exponential equation in the form y=a(b)x that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = ____. To the nearest milligram, how much caffeine will be in Kendall's body after 12 hours?
An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is
The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.
What is an exponential function?In Mathematics, an exponential function can be modeled by using the following mathematical equation:
f(x) = a(b)^x
Where:
a represents the initial value or y-intercept.x represents time.b represents the rate of change.Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:
Rate of change (decay rate) = 100 - 13 = 87% = 0.87.
By substituting the parameters into the exponential equation, we have the following;
\(f(x) = 95(0.87)^x\)
When x = 12, we have;
\(f(12) = 95(0.87)^{12}\)
f(12) = 17.86 ≈ 18 milligrams.
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HELP NOW PLZ U GET POINTS!!!
Answer:
3
is the answer
Answer:
3
Step-by-step explanation:
how much is -(3)(3)=
Answer:
-9
Step-by-step explanation:
Since the threes are in parenthesis, you multiply them first then apply the negative sign.
I hope this helps!
Answer:
-9
Step-by-step explanation:
Multiplying 3 by -3 will get you -9. You know it's negative because only one number is negative and 3*3=9.
Which of the following is a one-to-one function? 5x-1; X
Given:
One -one function
\(y=\lbrack x\rbrack\)Option D is one-one function.
100 points
The options in the drop downs are: the margin of error will decrease / the margin of error will increase
Answer:
Bro but what is the question
Answer:
ok but where is the QUESTION???
Step-by-step explanation:
HELP PLEASE THANK YOU SO MUCH
Answer:
mark as brainliest...pleasee
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solution
Answer:
x = 18
y = 54
Step-by-step explanation:
90 - 72 = 18
18 + 2x = 3x
18 = x
2(18) = 36
3(18) = 54
72 + y + 54 = 180
126 + y = 180
y = 54
Answer:
54
Step-by-step explanation:
A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 of the wall blue, how many square feet will be blue?
77 feet^2
Explanation:
Area of the wall is
8 2/5 × 18 1/3
42/5 × 55/3
14/5 × 55/1
14/1 × 11/1 = 154 feet^2
The area we want is half of this
77 feet^2
Hope this helps and answer you question
In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B
The length of EB is approximately 14.6 units when rounded to the nearest tenth.
To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.
Using the similarity ratio, we can set up the proportion:
DF / CF = DE / EB
Plugging in the given values, we have:
13.1 / 10.9 = 17.5 / EB
To find EB, we can cross-multiply and solve for EB:
13.1 * EB = 10.9 * 17.5
EB = (10.9 * 17.5) / 13.1
EB ≈ 14.6
Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.
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Consider the curve given by the equation x2 − y2 = 2x + y + xy − 4. Find the equation
of the tangent line to the curve at the point (1, 1).
The equation of the tangent line at (1,1) is given as follows:
y - 1 = -0.25(x - 1).
How to obtain the equation of the tangent line?The curve for this problem is given as follows:
x² - y² = 2x + y + xy - 4.
Applying implicit differentiation, we obtain the slope of the tangent line, as follows:
2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y
(dy/dx)(1 + x + 2y) = 2x - 2 - y
m = (2x - 2 - y)/(1 + x + 2y).
At x = 1 and y = 1, the slope is given as follows:
m = (2 - 2 - 1)/(1 + 1 + 2)
m = -0.25.
Hence the point-slope equation is given as follows:
y - 1 = -0.25(x - 1).
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GIVING BRAINLIST ASAP
Find the sales price:
$45.50 book, 30% discount
Round your answer to the nearest cent (hundredths place)
Answer:
$32.00
Step-by-step explanation:
$45.50 x 30%=
45.50 x 0.30= 14
$45.50-$14.00= $32.00
Answer:
31.85
Step-by-step explanation:
45.50 is your original price, 30 percent in decimal form is 13.65, so 45.50 minus 13.65 equals 31.85
if A varies direct as a square of R. Find the % increase in A if R is increase by 20%.
Answer:
20%
Step-by-step explanation:
A=R^2
120/100
=1.2
1.2R= new value of R
original of R=R
A^1/2=R
change/origionalx100%
(1.2A^1/2-A^1/2)
-------------------- x 100%
A^1/2
A^1/2 (1.2-1)
--------------- x100%
A^1/2
0.2
---- x100
1
0.2x100
=20%
Ms. Sanders invested in a stock. During the first year, the value of the stock tripled. The next year, the value of the stock decreased by $600. Write an expression that can be used to represent the value of her stock at the end of the second year. Be sure to indicate what the variable in your expression represents. (please help I am lost)
Answer:
Value in $= 3x -600
Step-by-step explanation:
Let the value of the stock before investment= x
At the first year , the value tripled
Value after first year=3x
The second year , the stock reduces by $600.
So
The value of the stock after the second year
Value in $= 3x -600
ONe morning, Mack, Jack and Hack left home with each one wearing a hat and a scarf belonging to one of the others. Jack was wearing Mack's hat and Hack's scarf. Whose hat and scarf were Mack and Hack wearing?
Answer:
mack and hack was wearing jacks hat
Step-by-step explanation:
Find the area of the shaded region. Please show all work. Don't forget your units.
Answer:
The answer is 234ft
Step-by-step explanation:
first, do 8x1.57 which is 12.56. so you have 12.56ft to cut off from the triangle, then gather 26x18 which is 468 then do 468/2 which is 234ft
Solve:27 = (one-third) Superscript StartFraction x Over 2 EndFraction
Answer:
a. -6
Step-by-step explanation:
Convert the angle 1.5 radians to degrees, rounding to the nearest 10th.
Answer:
85.9 (to the nearest hundredth)
Step-by-step explanation:
1 radian = 180°/\(\pi\)
Therefore, 1.5 radians = 1.5 x (180°/\(\pi\)) = 270/\(\pi\) = 85.9 (to the nearest hundredth)
Answer:
85.9
Step-by-step explanation:
1.5rad × 180/π = 85.9°
Thank You!
-1000 2/3 is not real fraction. True or false
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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What is the quotient of 7.536\times 10^77.536×10
7
and 7.85 \times 10^27.85×10
2
expressed in scientific notation?
The value of Quotient from the given terms is 9.6* 10^8
According to the statement
we have given that the two terms and we have to find the quotient of the these terms.
So, we know that the
Quotient is a the number resulting from the division of one number by another.
And for find the quotient we have to divide the terms with each other.
So, The given terms are \(7.536*10^7\)and \(7.85*10^2\)
divide both terms with each other.
Quotient = \(\frac{7.536*10^7}{7.85*10^2}\)
Then
The value of quotient becomes
Quotient = \(0.96 * 10^9\)
After removing the decimal from the answer it will become
Quotient = \(9.6* 10^8\).
So, The value of Quotient from the given terms is 9.6* 10^8
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Answer: its 7.85x10^-9
Step-by-step explanation:
express 2 cos 35 sin 67 as a sum
2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).
To express 2 cos 35 sin 67 as a sum, we can use the trigonometric identity for the product of two sine or cosine functions.
Specifically, the identity states that 2 cos A sin B can be written as
sin(A + B) + sin(A - B).
Applying this identity, we have:
2 cos 35 sin 67 = sin(35 + 67) + sin(35 - 67)
Simplifying the expressions inside the sine functions:
sin(102) + sin(-32)
Since the sine function is an odd function,
sin(-x) = -sin(x),
so we can rewrite the equation as:
sin(102) - sin(32)
Therefore, 2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).
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A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61
i need help hurry pls
Answer:
you got this Playa I believe in you
Answer: the first one 8.2 the second one 49.2
Step-by-step explanation:
what is 7/8 - 1/2 as a fraction
Answer: 3/8
Step-by-step explanation:
1/2 is also 4/8 so you subtract 4/8 from 7/8 to get 3/8
what is 23d=109
Please answer
Answer:
d=4.73913043 or d=4.74 rounded
Step-by-step explanation:
What is the answer to number 4
Answer:
5
Step-by-step explanation:
3×9×X=135
27×X=135 divide 27 from both sides
missing side is 5
Match the following graph with the name of the graph
Absolute value: C
Quadratic: D
Constant: A
Square root: E
Linear: B
There are the equations for the graphs on the bottom:
y=2 is constant because the y value never changes
y=x is linear because the y value changes at a constant rate
y= |x| is absolute value because |x| is the absolute value of x
y=x^2 is quadratic because quadratic functions have a degree of 2
y=sqrt(x) is a square root because y= square root of x
At the craft store, Rudy bought a bag of green and red marbles. The bag contained 60 marbles, and 60% of them green. How many green marbles did Rudy receive?
Answer:
36 green marbles
Step-by-step explanation:
If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:
Green marbles = 60% x 60 marbles
To simplify this calculation, we can convert 60% to a decimal by dividing by 100:
Green marbles = 0.60 x 60 marbles
Green marbles = 36 marbles
Therefore, Rudy received 36 green marbles.
Answer: 36
Step-by-step explanation:
60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36
Order the following numbers from least to greatest. Put the lowest number on the left. 50 25 0 -75
Answer:
-75 0 25 50
Step-by-step explanation:
I posted 2 question of this but nobody answered first answer gets brainliest and a thanks and 5 stars and 20 points and do all of them or half no links ASAP guessers will be reported
Answer:
14. 13.65
15. 7.53
17. 0.0371
18. 0.81
19. 0.864
Here are some answers! Hope this helps