Answer:
120
Step-by-step explanation:
This shape is made out of two figures, a rectangle with sides 20 and 3.5 and a parallelogram with height 2.5 and base 20. 2.5*20+20*3.5=50+70=120 cubic centimetres. Hope this helps!
You have a jar of marbles with 7 red, 12 blue, 6 yellow, and 9 white. What is the probability of selecting a marble that is not red, replacing it and then one that
is white?
Answer:
The probability of selecting a marble that is not red, replacing it and then one that is white is 0.2102
Step-by-step explanation:
Number of red marbles = 7
Number of blue marbles = 12
Number of yellow marbles = 6
Number of white marbles = 9
Total marbles = 7+12+6+9=34
Probability of selecting red marble =[tex]\frac{7}{34}[/tex]
Probability of selecting no red marble = [tex]1-\frac{7}{34}=\frac{27}{34}[/tex]
Now replacing it one marble is drawn again
So, Probability of getting white marble [tex]=\frac{9}{34}[/tex]
So,the probability of selecting a marble that is not red, replacing it and then one that is white =[tex]\frac{27}{34} \times \frac{9}{34}=0.2102[/tex]
Hence the probability of selecting a marble that is not red, replacing it and then one that is white is 0.2102
The data below show the numbers of hours Mrs. Diaz volunteered at the library each month
for eight months.
20, 12, 27, 23, 18, 20, 30, 26
The mean of the data set is 22 hours. What is the mean absolute deviation of the data?
4.5
2
4
2.2
Answer:
A. 4.5
Step-by-step explanation:
Given:
20, 12, 27, 23, 18, 20, 30, 26
Mean = 22
Required:
Calculate the Mean Absolute Deviation (M.A.D)
Since, we have the mean; we start calculating M.A.D by subtracting the mean from each data
20 - 22 = -2
12 - 22 = -10
27 - 22 = 5
23 - 22 = 1
18 - 22 = -4
20 -22 = -2
30 - 22 = 8
26 - 22 = 4
The we find absolute value of the result above
|-2| = 2
|-10| = 10
|5| = 5
|1| = 1
|-4| = 4
|-2| = 2
|8| = 8
|4| = 4
Lastly, we calculate the mean of the above to give M.A.D
[tex]M.A.D = \frac{2 + 10 + 5 + 1 + 4 + 2 + 8 + 4}{8}[/tex]
[tex]M.A.D = \frac{36}{8}[/tex]
[tex]M.A.D = 4.5[/tex]
Option A is correct.
The value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours, option first is correct.
What is the mean absolute deviation?It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance is known as the MAD.
We have data:
20, 12, 27, 23, 18, 20, 30, 26
Mean of the data X = 22 hours
∑(x - X) = 36
MAD = 36/8 = 4.5 hours
Thus, the value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours.
Learn more about the mean absolute deviation here:
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Given: m∠ABC = 50°,
AC = 30
Find: OA
Answer:
OA = 19.58
Step-by-step explanation:
If we draw the segments OA and OC, we will have an isosceles triangle OAC.
With the property of inscribed angles and central angles that are related to the same arc of the circunference, we have:
mAOC = 2 * mABC
mAOC = 2 * 50 = 100°
As the triangle OAC is isosceles, we have that mOAC = mACO.
Knowing that the sum of internal angles of a triangle is 180°, we have:
mACO + mOAC + 100 = 180
2 * mACO = 80
mACO = 40°
Now, using the law of sines, we have:
OA / sin(ACO) = AC / sin(AOC)
OA / 0.6428 = 30 / 0.9848
OA = 30.463 * 0.6428 = 19.58
What is the inverse function of f(x) = z/z-2
Answer:
f^-1(z) = 2z/z-1
Answer:
Step-by-step explanation:
The function declaration
f
(
x
)
f
(
x
)
varies according to
x
x
, but the input function
z
2
z
2
only contains the variable
z
z
. Assume
f
(
z
)
=
z
2
f
(
z
)
=
z
2
.
f
(
z
)
=
z
2
f
(
z
)
=
z
2
What is the surface area of this rectangular prism?
Answer:
Step-by-step explanation:
l = 5 in
w = 5 in
h = 12 in
Surface area of rectangular prism = 2*(lw +wh + hl)
= 2*(5*5 + 5*12 + 12*5)
= 2*(25 +60 +60)
= 2*145
= 290 in²
Take 2 y2 - 3 y - 5 from y3 - 6 y2 + 5 y . Select the correct answer.
A) y3 - 2 y2 + 3 y + 5
B) y3 - 4 y2 + 2 y - 5
C) y3 - 4 y2 + 2 y + 5
D) y3 - 8 y2 + 8 y + 5
Answer:
b
Step-by-step explanation:
Hope this helpsss :)
Answer:
your answer will be: B. y3 - 4 y2 + 2 y - 5
Step-by-step explanation:
what does this net represent?
Answer: triangular pyramid
Step-by-step explanation: The net shown here is composed of 3 triangular faces and 1 triangular base. The triangular faces tell us that the figure is a pyramid and the triangular base tells us that it's a triangular pyramid. You can always check your answer by tracing the net, cutting it out, and folding it to see what kind of a figure is formed.
How do you find the mode of a set of numbers? *
10 points
A. Add all the numbers of the set and divide
B You put them from least to greatest
C Find the number that shows up the most
Answer:
C. Find the number that shows up the most
Step-by-step explanation:
Find the distance between (5,2) and (5,0). PLEASE HELP!!
Answer:
Its 2 bro
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
use the distance formula
y2-y1
_____
x2-x1
2-0
___
Please Help!!!!!!!!! Extra points and branliest will be given!!!
Answer: The answer is 12 units
Step-by-step explanation: just finished the unit
Answer:
so it is C
Step-by-step explanation:
a=4
b=5
c=√(4²+5²)=√(16+25)=√41
4+5+√41≈15
Simplify the expression.
( 6x + 1/2) + ( 5x - 3 1/2 )
Answer:
(11x-3)
Step-by-step explanation:
This is because the two parenthesis are adding together, we can simply combine the like terms 6x and 5x to get 11x.
Then, combine 1/2 + a -3 1/2, which is equal to -3.
(Oh, i didn't see the minus sorry! It's fixed now!)
Answer:
11x -3
Step-by-step explanation:
(6x + 1/2) + (5x - 3 1/2) Add like terms
6x + 5x = 11x
1/2 - 3 - 1/2 = -3
11x - 3
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
3y - 9x = -6
5y - 15x = -10
A. More than 1 solution
O B. x = -15, y = 5
O C. X=-9, y = 3
O D. No solution
SUBMIT
Answer:
Infinite
Step-by-step explanation:
Here are a system of how two equations can be classified ;
• If the gradients are the same but the y-intercepts are different, the system has no solution.
• If the gradients are different, the system has one solution.
• If the gradients are the same and the y-intercepts are the same, the system has infinitely many solutions.
Here is the proof.
3y - 9x = -6
5y - 15x = -10
In
3y - 9x = -6
When x =1
y= 1
When x=3
y= 7
Gradient of 3y - 9x = -6
=∆y/∆x
= (7-1)/ ( 3-1)
=(6)÷ 2
= 3
5y - 15x = -10
When x= 1
y = 1
When x=3
Y=7
Gradient of 5y - 15x = -10
=∆y/∆x
= (7-1)/ ( 3-1)
=(6)÷ 2
= 3
Since the gradients are the same the system has infinitely many solutions.
the figure below shows a graph of the function of f(x) in the coordinate plane
Part A: Identify the following key features of the graph:
A. Vertex: ___________________
B. Axis of symmetry: ___________________
C. Y −intercept: ___________________
D. X −intercept(s): ___________________
Part B: Provide a real-world example that would be represented by this function and
tell what the key features above represent.
Answer:I think one is x
Step-by-step explanation:
A person purchases items marked $2.95, $12.99, $6.97, and $4.19. What is the total cost of these purchases including 6% sales tax
A city has an elevation of –752 feet. Which statement describes the city’s elevation?
–752 above sea level
–752 below sea level
752 above sea level
752 below sea level
Answer:
it is 752 blow sea level
Step-by-step explanation:
just now took it
Answer:
752 below sea level
is the correct answer the other person was right
Step-by-step explanation:
just answered the question
Help help help me me me
Step-by-step explanation:
...
the answer is 49/40
I will give you the brainliest if you answer asap please
Answer:
168
Step-by-step explanation:
You just need to triple the answer to get 168.
The ? of a right triangle are the sides that are adjacent to the right angle.
Please help ASAP will mark brainliest
Answer:
-3y^2-7y+6
Step-by-step explanation:
We can use foil to solve this equation:
(-3y+2)(y+3)=
(-3y*y)+(-3y*3)+(2*y)+(2*3) (symplify)=
-3y^2-9y+2y+6
Which equals to -3y^2-7y+6
We can use FOIL to solve.
(-3y + 2)(y + 3)
(-3y * y) + (-3y * 3) + (2 * y) + (2 * 3)
-3y^2 + -9y + 2y + 6
-3y^2 + -7y + 6
-3y^2 - 7y + 6
The answer is A
Best of Luck!
The triangle shown below has an area of
40
4040 units
2
2
squared.
Find the missing side.
Answer:
x = 10 units
Step-by-step explanation:
The formula for the area of a triangle of base x and height h is A = (1/2)(x)(h).
Here A = (1/2)(x)(8) = 40, so 8x = 80 and x = 10 units
If we look at this triangle we can see the straight line (the height). We want to use the height to figure out the side? Well divide 40 with the height (8). And now you get 5(cause 5*8 is 40. duh)
The scatter plot shows the number on minutes spent reading (x) and the number of pages read (y) by each Seven student last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Use conversions to solve the problem. Yesenia buys juice to make punch for all her friends. She buys 1 quart of juice and one eighth gallon of juice. How many cups of juice does she buy?
Answer:
The cups of juice that Yesenia buys are:
6 cups.Step-by-step explanation:
To solve this, you need to know the conversión below:
1 gallon = 16 cups.Now the paragraph mentions that Yesenia buys 1 quart of juice (that refers to a quart of gallon), then, having the conversion above we can operate with a rule of three:
1 gallon = 16 cups1/4 gallon = XSolving this we have:
(1/4 * 16)/1 = 4 cupsIn the first purchase, Yesenia actually buys 4 cups (that is the same to 1 quart of gallon), next she buys one eighth, then we operate again with the first conversion but using this new quantity:
1 gallon = 16 cups1/8 gallon = XSolving this we have:
(1/8 * 16)/1 = 2 cupsBy last, we add every purchase:
Number cups of juice purchased by Yesenia = 4 cups + 2 cups = 6 cups.
What is the rate of change of a function over a specified interval?
Answer:
The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval. Finding average rate of change from a word problem.
Step-by-step explanation:
hope this helps plz mrk brainliest
Two cruise ships sail from New York to Florida . One ship makes the round trip in 8 days and the other in 10 days . Both ships set sail from New York today. What is the fewest number of days both ships will sail again from New York on the same day ?
Please show work
A. 2
B. 18
C. 40
D. 80
Answer:
the answer is 40
Step-by-step explanation:
you have to multiply 8x10=80 divied by 20 which equal 40
Answer:
c
Step-by-step explanation:
Victouria leaves school to go home. She
walks 6 blocks North and then 10 blocks
West. How far is Victouria from the
school?
Answer:
11.66
Step-by-step explanation:
Pythagorean theorem: a^2+b^2=c^2
6^2+10^2=c^2
36+100= c^2
sqrt(136)= sqrt(c)
c= 11.66
Write a polynomial to represent the area of the shaded region. Then solve for x given that the area of the shaded region is 24 square units.
3x2 + x - 6; x = 3
3x2 + 7x - 6; x = 2
3x2 + 7x - 6; x = 5
WILL GIVE BRAINLIEST WITH EXPLANATION
Answer:
[tex]3x^{2}[/tex] +x -6 ; x = 3
Step-by-step explanation:
PART 1: The Polynomial
1. Set up the Equation: (x+3)(3x-2) - 6x
You want to find the area of the larger of the 2 rectangles that way you can subtract the area of the smaller one to get the shaded area (if that makes sense). You multiply length by width to get the area so you will multiply (x+3) by (3x - 2). The same applies to the smaller of the two rectangles, so that will be 6x.
2.FOIL: [tex]3x^{2}[/tex] - 2x + 9x -6 - 6x
You are going to want to foil (x+3) and (3x-2). If you are unfamiliar with the FOIL method I would recommend watching a Khan Academy video about it.
3. Simplify: [tex]3x^{2}[/tex] +x -6
Add and subtract like terms. This will be your polynomial.
PART 2: The Value of x
1. Set up the Equation: [tex]3x^{2}[/tex] +x -6 = 24
You will set the polynomial to equal 24 the polynomial and number both equal the size of the shaded area
2. Subtract: [tex]3x^{2}[/tex] +x -30 = 0
Subtract 24 from both sides.
3. Factor: (3x + 10)(x - 3) = 0
4. Set each group to equal zero.
a. 3x + 10 = 0
3x = -10
x = -10/3
----------------
b. x - 3 = 0
x = 3
5. Check both the answers in [tex]3x^{2}[/tex] +x -6 = 24 to see if your answers are correct. The answer would be x = 3.
Polynomial representing the area of the shaded region will be (3x² - x - 6) square units and the value of 'x' is 3.
Area of a rectangle:Area of a rectangle is given by the expression,Area of a rectangle = Length × Width
Given in the picture,
Larger rectangle with measures,Length = (x + 3) units
Width = (3x - 2) units
Small rectangle with measures,Length = x units
Width = 6 units
Area of the shaded region = Area of the larger rectangle - Area of the smaller rectangle.
Area of the larger rectangle = (3x - 2) × (x + 3) square units
Area of the smaller rectangle = 6x square units
Area of the shaded region = (3x - 2)(x + 3) - 6x
= 3x(x + 3) - 2(x + 3) - 6x
= 3x² + 9x - 2x - 6 - 6x
= (3x² + x - 6) square units
If the area of the shaded region is 24 square units.
3x² + x - 6 = 24 [Substitute the values]
3x² + x - 30 = 0
3x² + 10x - 9x - 30 = 0 [Factor the equation]
x(3x + 10) + 3(3x + 10) = 0
(x - 3)(3x + 10) = 0
[tex]x=3,-\frac{10}{3}[/tex]
Therefore, polynomial representing the area of the shaded region will be (3x² - x - 6) square units and the value of x is 3.
Learn more about the area of a rectangle here,
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Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results.
a equals 9 comma
b equals 8 comma
A equals 50 degrees
Answer:
B = 42.9°
C = 87.1°
c = 7.4
Step-by-step explanation:
In this problem we are given two sides and one angle of a triangle ABC. The given values are:
a = 9
b = 8
A = 50°
In this case, there wil be only one solution, because the side opposite the given angle (side a) is longer than side b that was also given.
Calculating, let's the the law of sines.
[tex] \frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c} [/tex]
[tex] \frac{sin 50}{9} = \frac{sin B}{8} = \frac{sin C}{c} [/tex]
Taking for A & B, we have:
[tex] \frac{sin 50}{9} = \frac{sin B}{8} [/tex]
Let's cross multiply
(sin 50°)(8) = 9 sinB
Solving further,
[tex]sin B = \frac{8 sin 50}{9}[/tex]
[tex] sin B = \frac{6.128}{9}[/tex]
[tex] B =sin^-^1(0.68)[/tex]
B = 42.9°
Since the total angle of a triangle is 180°, to find C, we have:
C = 180 - 50 - 42.9
C = 87.1°
To find the length of c, let's also use the sine formula.
[tex]\frac{sin B}{b} = \frac{sin C}{c} [/tex]
[tex]\frac{sin 42.9}{8} = \frac{87.1}{c} [/tex]
Cross multiplying
8c = 87.1 sin 42.9
[tex] c = \frac{87.1 sin42.9}{8} [/tex]
c = 7.4
Merek adds 260 and 347. She writes the sum as 7+10+500. What is Merek's mistake?
Merek got the correct sum, but her decomposition of 347 is incorrect.
What is arithmetic?Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division.
Here,
Merek's mistake is that she incorrectly decomposed the two-digit numbers 47 into 40 and 7 instead of 30 and 17.
To add 260 and 347, we can align the digits vertically:
260
+ 347
-----
607
So, the sum is 607.
Merek decomposed 347 as 300 + 40 + 7, which gives:
260
+ 300
+ 40
+ 7
-----
607
So, Merek got the correct sum, but her decomposition of 347 is incorrect. She should have decomposed 347 as 300 + 40 + 7, or as 300 + 30 + 17, instead of 300 + 40 + 7.
Learn more about arithmetic here:
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help me out please
simple 8th grade math.
Simplify 5(x – 7) + 6x.
Answer:
11x -35
Step-by-step explanation:
5(x – 7) + 6x.
Distribute
5x - 35 +6x
Combine like terms
11x -35
Answer:
11x-35
is the answer