Answer:
126 units!
Step-by-step explanation:
I hope this helped!! c:
There are two bags containing only black and green marbles.
Event 4, Event 1, Event 3, Event 2
Explanations:Number of black marbles in bag A = 11
Number of green marbles in bag A = 9
Total number of marbles in bag A = 11 + 9 = 20
Number of black marbles in bag B = 8
Number of green marbles in bag B = 2
Total number of marbles in bag B = 8 + 2 = 10
Event 1:
Likelihood of choosing a black marble from bag A = 11/20 = 0.55
Event 2:
Likelihood of choosing a black or green marble from bag A = 11/20 + 9/20
Likelihood of choosing a black or green marble from bag A = 0.55 + 0.45
Likelihood of choosing a black or green marble from bag A = 1
Event 3:
Likelihood of choosing a balck marble from bag B = 8/10 = 0.8
Event 4:
Likelihood of choosing a purple marble from bag B = 0
Since there is no purple marble in bag B
Arrangement of the events from the least likely to the most likely will be:
Event 4, Event 1, Event 3, Event 2
The __________ shows the number of data items with values less than or equal to the upper class limit of each class.
Answer: Cumulative frequency distribution
Step-by-step explanation: Not entirely sure but I believe you are looking for this definition based on the question. Hope this helps :)
I need help 9th grade math
Answer:
D
Step-by-step explanation:
Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4. A6x−2B12x−4C8x^2+4x−24D12x^2+20
The perimeter of a rectangular garden with width w = 4x - 6 and length l = 2x + 4 is given by: 2w + 2l = 2(4x - 6) + 2(2x + 4) = 8x - 12 + 4x + 8 = 12x - 4
Answer: option B
how much rupees of 12 1/2% is Rs.45
Answer: Rs. 360
Step-by-step explanation:
let x of 12 1/2%=45
=> x.25/200=45
=> x/8=45
=> x=45.8
=> x=360
it is Rs 360
Find the measures of the interior angles of the triangle.
The value of interior angle is 60.
What is triangle?
A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol.
What is interior angle?
In a triangle, there are three interior angles at each vertex. The sum of those interior angles is always 180°. The bisectors of these angles meet at an point known as incenter. As the sum of interior angles of a triangle is 180°, there is only one possible right angle or obtuse angle possible in each triangle.
The sum of interior angle is 180
Given angles is 30, 90, x.
Therefore, sum is given by
90 + 30 + x = 180
120 + x = 180
x = 180-120
x = 60
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Please answer quick! i'm stuck on th is and it is due today! (equation is on the bottom on the picture)
4 - 1/3x = x + 2x
. n+(t+2) = n +(2+t) is an example of which property? |n+ (t+2)=n+(2+t) ¿es un ejemplo de esta propiedad?
Answer:
The equation is an example of the associative property of addition.
Step-by-step explanation:
Associative property of addition: changing the grouping of addends does not change the sum.
For example: A+(B+C) = (A+B)+C.
MTR
3 MAINTAIN ACCURACY In Exercises 27-30, determine
whether the statement uses the word function in a way
that is mathematically correct. Explain your reasoning.
27. The selling price of an item is a function of the cost of
making the item.
28. The sales tax on a purchased item in a given state is a
function of the selling price.
29. A function pairs each student in your school with a
homeroom teacher.
30. A function pairs each chaperone on a school trip
with 10 students.
Please just do 28 and 30
Answer:
28. Correctly used
30. Incorrectly used
Step-by-step explanation:
You want to know if the word "function" is correctly used in the following cases:
28. The sales tax on a purchased item in a given state is a function of the selling price.
30. A function pairs each chaperone on a school trip with 10 students.
28. Sales taxThere is exactly one value of sales tax associated with any given selling price. This means the ordered pair (selling price, sales tax) will be unique for any given selling price. Hence, the relation between selling price and sales tax is a function. The word function is used correctly in describing this relation.
29. ChaperonesThere are 10 different students associated with any given chaperone. This means there will be multiple (chaperone, student) ordered pairs for any given chaperone: (c1, s1), (c1, s2), ..., (c1, s10), (c2, s11), (c2, s12), ..., (c2, s20), .... The relation between chaperones and students is not a function. The word function is used incorrectly in describing this relation.
Given the equation 12.75y = 38.25, determine the value of y.
Answer:
y = 3
Step-by-step explanation:
12.75y = 38.25
To find the value of y, divide each side by 12.75
12.75y/12.75 = 38.25/12.75
y = 3
Please help me I have 5 minutes left!!!
A proportion is an equation in which two ratios are set equal to each other. No option is satisfying the proportion
What is Ratio and Proportion?Ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
A proportion is an equation in which two ratios are set equal to each other.
In the given question, rayon drove 320 miles in 5 hours to complete the first part of his trip. 12 hours to drive 768 miles.
we can write this
320miles/5 = 768 miles/12
320miles/768 miles=5/12
In option d the values are not given in a correct way. It doesnot hold for the proportion.
Hence no option is correct.
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Marco charges $42.99 for a
repair that takes 2 hours.
Marco charges $87.99 for a
repair that takes 5 hours.
for the slope and y intercept
Answer:
y-intercept= 12.99 slope= 15.00x+12.99
Step-by-step explanation:
The figure is not drawn to scale. m
For the given function
The sum of all angles = 360°
So,
[tex]\begin{gathered} y+x+125+90=360 \\ m\angle x=27 \\ So,\text{ } \\ y+27+125+90=360 \\ y+242=360 \\ y=360-242=118 \end{gathered}[/tex]So, the difference between x and y will be:
[tex]y-x=118-27=91[/tex]So, the answer will be:
∠x is 91° smaller than ∠y
If F(x) = 5x + 4, which of the following is the inverse of F(x)? A. F-1(x) = 4 – 5x B. F-1(x) = C. F-1(x) = D. F-1(x) = 5x – 4
Answer:
5x-4
Step-by-step explanation:
The base of this right prism is a rectangle. What is the surface area of the prism? Height = 10 ft
Surface area of a rectangular prism formula
[tex]SA=2(wl+hl+hw)[/tex]where w is width, l is length, and h is height.
Substituting with w = 4 ft, l = 6 ft, and h = 10 ft, we get:
[tex]\begin{gathered} SA=2(4\cdot6+10\cdot6+10\cdot4) \\ SA=2(24+60+40) \\ SA=2\cdot124 \\ SA=248\text{ ft}^2 \end{gathered}[/tex]
he altitude of a triangle is increasing at a rate of 3.000 centimeters/minute while the area of the triangle is increasing at a rate of 4.000 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 9.500 centimeters and the area is 88.000 square centimeters?
The altitude exists 9.500 centimeters and the area exists 88.000 square centimeters is [tex]$ -\frac{9.26316}{4.75d}[/tex].
What is meant by the altitude of a triangle?A line segment passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry. The extended base of the altitude is the name given to this line that contains the opposing side. The foot of the altitude exists the point at where the extended base and the height converge.
A triangle's altitude is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.
Let A be the area of the triangle
h be the altitude
b be the base
The formula that relates the three is the area of a triangle
A = (1/2) bh
Note that anything listed as a "rate" is a derivative value.
dh (rate of change of altitude) = 3.000 cm/min
dA (rate of change of area) = 4 cm²/min
h = 9.500 cm
A = 88.000 cm²
Consider that both b and h are changing in this situation, so we have to treat them both as variables. This means we have to use the product rule, inserting the derivatives where applicable.
dA = (1/2) × db × h + (1/2)b × dh
substitute the values in the above equation, we get
4 = (1/2) × db × 9.5 + (1/2) b × 3.000
88 = (1/2) × b × 9.5
b = 18.52631
Now, looking back at our derivative
4 = (1/2) × db × 9.5 + (1/2) × 18.52631 × 3.000
simplifying the above equation, we get
4 = 4.75 db + 13.26316
b =[tex]$ -\frac{9.26316}{4.75d}[/tex]
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I'm stuck with my math word problem pls helped me
2/2
Answer:
A. [tex]\frac{c}{11} *7-48[/tex]
Step-by-step explanation:
You rent an apartment that costs \$1000$1000 per month during the first year, but the rent is set to go up 8% per year. What would be the rent of the apartment during the 5th year of living in the apartment? Round to the nearest tenth (if necessary).
If you rent an apartment that cost $1000 per month during the first year, but the rent is set to go up 8% per year, the the rent amount of the apartment during the 5th year of living in the apartment is $1469.32
The initial rent amount = $1000
The percent of rent increase each year = 8%
Time period = 5 years
Here we can use the compound interest equation
A = [tex]P(1+\frac{r}{100})^t[/tex]
Substitute the values in the equation
The rent amount of the apartment during the 5th year of living in the apartment = [tex]1000(1+\frac{8}{100})^5[/tex]
= $1469.32
Hence, if you rent an apartment that cost $1000 per month during the first year, but the rent is set to go up 8% per year, the the rent amount of the apartment during the 5th year of living in the apartment is $1469.32
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270 bottles are packed in 10 boxes. how many bottles are there in each box?
Answer:
27
Step-by-step explanation:
Divide 270 by 10
any given season, a soccer team plays 65 % of their games at home.
When the team plays at home, they win 83 % of their games.
When they play away from home, they win 26 % of their games.
find the probability the team wins with explanation
Based on the percentage of games played at home by the team, and the percentage win rate, the probability that the team wins is 63.05%
How to find the probability the team wins?First, find the probability that the team wins playing at home:
= Percentage win rate at home x Percentage played at home
= 83% x 65%
= 53.95%
Then find the probability of winning away:
= Percentage win rate away x Percentage played away
= 26% x (1 - 65%)
= 9.1%
The probability the team wins is:
= 53.95 + 9.1
= 63.05%
In conclusion, the probability of the team winning at home and the probability of them winning away, can be summed up to find the probability of the team winning which is 63.05%.
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Here are 5 lines on a coordinate grid: Write equations for lines a,b,c,d and e a: b: c: d: e:
The equations of each of the given lines are:
Line a is: x = -4
Line b is: x = 4
Line c is: y = 4
Line d is: y = -2
Line e is: y = -¾x + 1
How to Write the Equation of a Line?If we determine the slope value, m, and the y-intercept value, b, the equation of a line can be written as y = mx + b in slope-intercept form by plugging in the values of the determined variables.
For a vertical line, the equation is expressed as x = b, where b is the x-intercept of the line.
For a horizontal line, the equation would be y = b, where b is the line's y-intercept value.
Equation of line a (vertical line):
The x-intercept is -4. This means that, the equation of line a is: x = -4
Equation of line b (vertical line):
The line's x-intercept is 4. To write the equation of the line, substitute the value of the x-intercept into x = b.
Therefore, the equation of line b is: x = 4
Equation of line c (horizontal line):
The y-intercept (b) = 4. Substitute the b = 4 into y = b.
The equation of line c is: y = 4
Equation of line d (horizontal line):
y-intercept (b) = -2. Substitute b = -2 into y = b.
Equation of line d is: y = -2
Equation of line e:
Slope (m) = rise/run = -3/4
y-intercept (b) = 1
To write the equation of the line, substitute m = -¾, and b = 1 in the equation y = mx + b
y = -¾x + 1
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7. |4n+ 2|= 34 solve for “N”
By solving |4n+2|=34 solve for N we get 8 .
What is N factor?
The factorial of a non-negative integer n, denoted by n!, is the product of all positive of integers less than or equal to n. The factorial of n also equals to the product of n with the next smaller factorial: For example, These are value of 0! is 1, according to the convention for an empty of product.
Sol-|4n+2|=34
Split into two equations
4n+2 = 34 or 4n+2=-34
4n+2 =34
Rearrange variable to the left side of the equation
4n =34-2
Calculate the sum or difference
4n=32
Devide both side of the equation by the coefficient of variable
n=32/4
Cross out the common factor
n=8
When n=8
LHS = |4×8+2|=34
RHS =34
LHS =RHS
Thus 8 is valid.
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Use integers or fractions for any numbers in the expression.
Solution:
Consider the following injective function:
[tex]f(x)=\frac{3x+6}{x-5}[/tex]this is equivalent to:
[tex]y=\frac{3x+6}{x-5}[/tex]by cross-multiplication, this is equivalent to:
[tex](x-5)y\text{ = 3x+6}[/tex]now, applying the distributive law, we get:
[tex]xy-5y\text{ = 3x+6}[/tex]this is equivalent to:
[tex]xy\text{ -5y -3x = 6}[/tex]Applying the common factor, we get:
[tex]x(y-3)\text{ -5y = 6}[/tex]this is equivalent to:
[tex]x\text{ (y-3)}=\text{ 6+5y}[/tex]solving for x, we get:
[tex]x\text{ = }\frac{6+5y}{y-3}[/tex]so that, we can conclude that the correct answer is:
[tex]f^{-1}(x)=\frac{6+5x}{x-3}[/tex]for f(x)=3/8x-7, find f(-16)
The given function is
[tex]f(x)=\frac{3}{8}x-7[/tex]The expression f(-16) means we have to evaluate the function when x = -16.
[tex]\begin{gathered} f(-16)=\frac{3}{8}(-16)-7 \\ f(-16)=-3\cdot2-7=-6-7=-13 \end{gathered}[/tex]Therefore, f(-16) is equal to -13.Triangles and angles worksheet
The △ABE is congruent to △CDE (△ABE ≅ △CDE) under AAA, ASA, SSS, and SAS conditions.
What do we mean by the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, rotate, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.So, △ABE ≅ △CDE:
AB || CD (Given)∠ABE ≅ ∠CDE, ∠BAE ≅ ∠DCE (Diagonal bisects the angles)AB || CD (Given)E is the midpoint of AC and BD (Given)Point E (Definition of midpoint)∠AEB ≅ ∠CED (Inversilly opposite angles)△ABE ≅ △CDE (AAA condition, ASA condition, SSS condition, and SAS condition)Therefore, the △ABE is congruent to △CDE (△ABE ≅ △CDE) under AAA, ASA, SSS, and SAS conditions.
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27, 18, 12, 8 explicit formula for the sequence
The Explicit Formula is a(n) = 27×[tex](\frac{2}{3})^n^-^1[/tex]
Given,
The first four terms are 27, 18, 12, 8.
Find the common ratio:
To do this, let that ratio = r,
and write and solve 27r = 18. Thus, r = 2/3.
The general explicit formula for this sequence is:
a(n) = a(1)*(2/3)^(n - 1),
or, since a(1) = 27,
a(n) = 27×[tex](\frac{2}{3})^n^-^1[/tex]
Hence, The Explicit Formula is a(n) = 27×[tex](\frac{2}{3})^n^-^1[/tex]
What is Explicit formula For sequence?
The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.
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4
Ryan is installing new flooring in his house. Ryan can install 144 square feet of flooring in
3 hours. How much new flooring can Ryan install in 21 hours?
OA. 1,008 square feet
OB. 252 square feet
OC. 3,024 square feet
OD. 3,049 square feet
what is the slope of any line parallel to the line 8x+9x=3 in the standard (x,y) coordinate plane ?
The slope of the line that is parallel to 8x + 9x = 3 is: -8/9.
What is the Slope of Parallel lines?If two lines are parallel to each other, their slope values is equal to each other. This means the value of "m" in their equation expressed in slope-intercept form as y = mx + b, is the same.
Given the equation of a line in standard form as, 8x + 9y = 3, rewrite this in slope-intercept form:
8x + 9y = 3
8x + 9y - 8x = -8x + 3 [subtraction property of equality]
9y = -8x + 3
9y/9 = -8x/9 + 3/9 [division property of equality]
y = -8/9x + 1/3
The slope of the equation is -8/9. Therefore, the slope of the line that is parallel to the equation 8x + 9y = 3 will also be: -8/9.
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Write the system of linear equations represented by the augmented matrix to the right use WXY and Z for the variables Write the equation for all the rows
Question: Write the system of linear equations represented by the augmented matrix to the right use W, X, Y and Z for the variables :
Solution:
An augmented matrix is equivalent to a system of linear equations. In this case, the given matrix is represented by the following system of linear equations:
-1 w - 3x +5y +2z = 13
0w + 1x + 3y + 0z = 10
0w + 0x +y - 1z = 3
1w - 3x + 0y + 0z = -2
this is equivalent to:
w - 3x +5y +2z = 13
x + 3y = 10
y - z = 3
1w - 3x = -2
So that, the correct answer is:
w - 3x +5y +2z = 13
x + 3y = 10
y - z = 3
1w - 3x = -2
What is output by the following code? Select all that apply.
c = 2
while (c < 12):
print (c)
c = c + 3
Step-by-step explanation:
that is not mathematics, and I am not sure, if you listed everything, but the result to such a loop is
25811
because it first prints the Imuran content of c (2).
then it increases the content of c by 3. c is now 5
then it checks that 5 is still smaller than 12 (yes it is), and it prints 5.
then it prints 8. then 11. and then c becomes 14 and is therefore larger than 12. and the loop ends.
I don't know what your particular print command does, but I assume it is just a basic "bring the parameter to output". in that case it will write all numbers right after the previous number.
hence : 25811
