Answer:
2/5
Step-by-step explanation:
No of items =5(0,1,2,3,4)
No of favourable conditions =2(2,3)
Gk, probability =2/5
Answer:
40% chance of success
Step-by-step explanation:
The possible integers chosen are 0, 1, 2, 3, and 4.
Since the numbers are randomly chosen and the numbers 2 and 3 represent a success, and the numbers 0, 1, and 4 represent a failure, and there are 5 possible outcomes, there is a 2/5 chance of success. Therefore, you have an estimated 40% chance of a success.
Trapezoids A and B are similar. Find the values of x and y.
Step-by-step explanation:
when 2 shapes are similar, it means that all their angles are the same compared with each other.
and all distances (incl. side lengths) if one shape correlate to the corresponding distances in the other shadow by the same ratio or factor.
we have one side (30 m in A and 50 m in B), where we have both measures.
we see that the ratio to "go" from A to B is 30/50 = 3/5.
that means a distance in A is the same distance in B multiplied by 3/5.
and that factor is the same also for every other side.
therefore,
x = 15 m × 3/5 = 3 m × 3 = 9 m
y × 3/5 = 18 m
3y = 90 m
y = 30 m
Given that f(x)=x^2-3x-10f(x)=x 2 −3x−10 and g(x)=x-5g(x)=x−5, find (f-g)(x)(f−g)(x) and express the result in standard form.
Answer:
3(7)=21-8{90}6-8/7'
Step-by-step explanation:
A school improvement committee is raising money for new computer equipment by selling T-shirts and hats with the school mascot printed on them. The school earns $18 for each T-shirt sold and $7 for each hat
Answer:
What is the question?
Step-by-step explanation:
Pythagorean Theorem word problems
19.3
i think its either 19.3 or 19.36
Find the 15th term of the geometric sequence 2, -8, 32, ...
Answer:
536870912
Step-by-step explanation:
the pattern is multiplying by -4
2 * -4 = -8
-8 * -4 = 32
-128, 512, -2048, 8192, -32768, 131072, -524288, 2097152, -8388608, 33554432, -134217728, 536870912
Answer:
[tex]a_{15}=536870912[/tex]
Step-by-step explanation:
Here, the common ratio is [tex]r=-4[/tex] since each consecutive term is being multiplied by -4, and [tex]a_1=2[/tex] since that is the first term:
[tex]a_n=a_1(r)^{n-1}\\\\a_{15}=2(-4)^{15-1}\\\\a_{15}=2(-4)^{14}\\\\a_{15}=2(268435456)\\\\a_{15}=536870912[/tex]
What is the value of y in the equation 3(3y - 9) = 0?
a - 1
b - 3
c - 4
Step-by-step explanation:
Use the Distributive Property in order to solve.
Distributive Example:[tex]a(b+c)=ab+ac[/tex]
Using the property into the equation:
[tex]3(3y-9)=3(3y)-3(9)=9y-27[/tex]
[tex]9y-27=0[/tex]
Add 27 to both sides:
[tex]9y=27[/tex]
Divide each side by 9:
[tex]y=3[/tex]
b is correct.
Combine like terms to create an equivalent expression.
-2.5 (4x - 3)
Answer:
-10x+7.5
Step-by-step explanation:
Sorry if wrong!
hello can somone help me pls
Answer:
Line segment CDLine segment BCI hope this is the answer
Solve the 5 questions. I beg you T_T (90 points!!!)
Answer:
8) Consistent and Dependent
[tex]\boxed{\begin{aligned}3x-3y&=6\\-x+y&=-2\end{aligned}}[/tex]
9) Consistent and Independent
[tex]\boxed{\begin{aligned}x+y&=0\\-x+y&=-8\end{aligned}}[/tex]
10) Inconsistent
[tex]\boxed{\begin{aligned}4x&+2y=6\\4y&=-8x+4\end{aligned}}[/tex]
11) Solution: (3, 0)
12) Solution: (-2, 1)
Step-by-step explanation:
System of equationsA consistent and dependent system has infinitely many solutions. When graphed, the equations will result in overlapping lines, forming a single line.A consistent and independent system has a unique solution. When graphed, the equations will result in two lines that intersect at a single point.An inconsistent system has no solution. When graphed, the equations will result in two parallel lines that never intersect.[tex]\hrulefill[/tex]
Question 8The graph shows a single line, so the system is consistent and dependent.
Find the equation of the line by calculating its slope (m) and y-intercept (b), and then inputting these into the slope-intercept formula, y = mx + b.
The line passes through the points (0, -2) and (2, 0).
Input these points into the slope formula to calculate the slope of the line:
[tex]\textsf{Slope ($m$)}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-2)}{2-0}=\dfrac{2}{2}=1[/tex]
The y-intercept is b = -2.
Therefore, the slope-intercept equation of the line is:
[tex]y=x-2[/tex]
Rearrange this by subtracting x from both sides:
[tex]-x+y=-2[/tex]
Therefore, the correct set of equations for the given system is:
[tex]\boxed{\begin{aligned}3x-3y&=6\\-x+y&=-2\end{aligned}}[/tex]
[tex]\hrulefill[/tex]
Question 9The graph shows two lines that intersect at a single point, so the system is consistent and independent.
One of the lines passes through the origin (0, 0).
The only set of equations where y = 0 when x = 0 is the set with the equation x + y = 0.
Therefore, the correct set of equations for the given system is:
[tex]\boxed{\begin{aligned}x+y&=0\\-x+y&=-8\end{aligned}}[/tex]
[tex]\hrulefill[/tex]
Question 10The graph shows two parallel lines, so the system is inconsistent .
Find the equation of one of the lines by calculating its slope (m) and y-intercept (b), and then inputting these into the slope-intercept formula, y = mx + b.
The first line passes through the points (0, 1) and (0.5, 0).
Input these points into the slope formula to calculate the slope of the line:
[tex]\textsf{Slope ($m$)}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-0}{0-0.5}=-2[/tex]
The y-intercept is b = 1.
Therefore, the slope-intercept equation of the line is:
[tex]y=-2x+1[/tex]
Multiply all terms by 4:
[tex]4y=-8x+4[/tex]
Therefore, the correct set of equations for the given system is:
[tex]\boxed{\begin{aligned}4x&+2y=6\\4y&=-8x+4\end{aligned}}[/tex]
[tex]\hrulefill[/tex]
Question 11The solution to the graphed consistent and independent system is the point where the two lines intersect.
From observation of the given graph, the point of intersection of the two lines is (3, 0).
[tex]\hrulefill[/tex]
Question 12The solution to the graphed consistent and independent system is the point where the two lines intersect.
From observation of the given graph, the point of intersection of the two lines is (-2, 1).
Write an equation in slope-intercept form for the line with slope 2 and y-intercept 5. Then graph the line.
Answer:
y = 2x + 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)Given: a line with a slope of 2, and y-intercept of 5
Equation: y = 2x + 5
y-intercept: (0, 5)Randomly select y-values that will help you graph the equation:
when y = -9:
-9 = 2x + 5 [subtract 5 from both sides]
-9 - 5 = 2x
-14 = 2x [divide both sides by 2]
-14 ÷ 2 = 2x ÷ 2
-7 = x
coordinate: (-7, -9)
when y = -5:
-5 = 2x + 5 [subtract 5 from both sides]
-5 - 5 = 2x
-10 = 2x [divide both sides by 2]
-10 ÷ 2 = 2x ÷ 2
-5 = x
coordinate: (-5, -5)
when y = -1:
-1 = 2x + 5 [subtract 5 from both sides]
-1 - 5 = 2x
-6 = 2x [divide both sides by 2]
-6 ÷ 2 = 2x ÷ 2
-3 = x
coordinate: (-3, -1)
when y = 3:
3 = 2x + 5 [subtract 5 from both sides]
3 - 5 = 2x
-2 = 2x [divide both sides by 2]
-2 ÷ 2 = 2x ÷ 2
-1 = x
coordinate: (-1, 3)
With these coordinates, graph them on a coordinate plane and draw a straight line through them. That should be the graph of the equation.
The hypotenuse of a right triangle measures 11 cm and one of its legs measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
5.5 cm
Step-by-step explanation:
Recall the Pythagorean Theorem which states that [tex]a^2+b^2=c^2[/tex] for a right triangle with side lengths [tex]a[/tex] and [tex]b[/tex], with a hypotenuse of [tex]c[/tex]:
[tex]a^2+b^2=c^2\\\\9^2+b^2=11^2\\\\81+b^2=121\\\\b^2=30\\\\b=\sqrt{30}\\\\b\approx5.5[/tex]
Therefore, the measure of the other leg is about 5.5 cm
probability
pls help
A rectangles perimeter is 124 ft. its length is 2 ft shorter than THREE TIMES its width. use an equation to find the rectangles length and width
Its width is___
its length is____
Answer:
Length will be 46 ft and width will be 16 ft
Explanation:
Let the width be x.
then the length will be 3x - 2
using the rectangle perimeter formula:
2( length + width )
2(x + 3x-2) = 124
2(4x-2) = 124
8x - 4 = 124
8x = 128
x = 16 ft
Width will be 16 ft and
Length: 3x - 2
: 3(16)-2
: 46 ft
ATQ
[tex]\\ \tt\hookrightarrow 2(n+3n-2)=124[/tex]
[tex]\\ \tt\hookrightarrow 2(4n-2)=124[/tex]
[tex]\\ \tt\hookrightarrow 4n-2=62[/tex]
[tex]\\ \tt\hookrightarrow 4n=64[/tex]
[tex]\\ \tt\hookrightarrow n=16[/tex]
Width=16Length=46 .Find the unit rate.
20 pages in 4 days = Pages per day
a) 4
b) 5
c) 2
d) 7
Answer:
5
Step-by-step explanation:
20 divided by 4 easy
Answer:
b) 5
Step-by-step explanation:
20 ÷ 4 = 5
5 pages per day
What is the quotient of 840 divided by 28 with a remainder?
Answer:
30
Step-by-step explanation:
There is no remainder. You can do 84/28, which is 3, but since it is tens place, 30. You can not divide 0 to 28, so it is 0. 30+0=30
Answer:
840 28 = 30
30 = 300 to the nearest tenth
30 = 30 to the nearest hundredth
30 = 30 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
840 divide by half plus 20
Step-by-step explanation:
which shows the products ordered from least to greatest
Answer:
101/102 x 564, 57/57 x 564, 29/27 x 564
Step-by-step explanation:
101/102 is less than 1, 57/57 is equal to 1, and 29/27 is slightly greater than 1.
Hope this helps :)
Answer:
the last one that
Step-by-step explanation:
What is the probability of any odd number that is divisible by 5 and less than 50? I’ll mark brainliest!!’
Answer:
1/10 or 10%
Step-by-step explanation:
5, 15, 25, 35, 45
There are 5 numbers possible
5/50
1/10
Answer:
1/10 or 10%
Step-by-step explanation:
Odd numbers are the numbers that cannot be divided by 2 evenly.
It cannot be divided into two separate integers evenly. If we divide an odd number by 2, then it will leave a remainder.
So then, the answer is 1/10 or 10%
Brainliest?!
What is 60% of 81?
24.3
32.4
48.6
56.7
Answer:
48.6
Step-by-step explanation:
60% = 60/100 = 0.6
So 60% of 81 = 0.6 x 81 = 48.6
A box of 15 cloud markers cost $12. 70. A box of 42 cloud markers cost $31. 60. How much would a box of 50 cloud markers cost? Write an equation that shows the price, p, for n markers in ab ox. Assume there is no tax, and that the price of a packaging is the same for any size box.
A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12 minutes 30 seconds , giving your answer in metres
Step-by-step explanation:
S=vt
v=55kmh^-¹
55×1000
=_______ms^-¹
60×60
=15.2778ms^-¹
t=12 min 30s
=12×60+30
=750s
so, s(distance)=750×15.2778 m =11458.35 m
How much warmer is 82 then -40
Answer:
122
Step-by-step explanation:
We are finding the difference, so our equation will be
[tex]82 - (-40)[/tex]
Subtracting by a negative is basically the same as adding. (- & - = +)
[tex]82 - (-40) =82 + 40[/tex]
Now add 82 + 40
[tex]82[/tex]
+ [tex]40[/tex]__
122
Hope this helps! If you have notes try writing out the steps for how to solve. :))
200x( ? -200)=200
(100+?) •\• 100 =10
Answer:
200×(201-200)=200
(100+900)÷100=10
This is if there are different values for "?"
Mario collects seashells and sells them to tourists. The function s(t) approximates how many seashells Mario collects per hour. The function W(h) represents the number of hours per week Mario spends collecting seashells. What are the units of measurement for the composite function s(W(h))? seashells over hour seashells over week hours over week weeks over seashell.
Composite functions are function of functions. The unit of measurement for the composite function s(W(h)) is number of seashells collected per hour.
What are composite functions?Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.
Since we're given that:
s(t) = function approximating number of seashells collected per hour
W(h) = number of hours per week spent by Mario
Thus, W(h) outputs number of hour (the time t) and when we do s(W(h)), we give s the time t.
The function s then outputs the speed (the rate of number of seashell collected per hour)
Thus, output of s(W(h)) is the rate of number of seashells collected per hour.
Thus,
The unit of measurement for the composite function s(W(h)) is number of seashells collected per hour.
Learn more about composite functions here:
https://brainly.com/question/24780056
Answer:
the answer is seashells/week
Step-by-step explanation:
because you are trying to find s(W(h)) it starts with S right? so seashells would be on top, then what is the second one? it is W so then because W represents week and H represents hour. So the answer is seashells/week
Please answer this with correct answer
Answer:
(a) 1232 m²
Step-by-step explanation:
The surface area is the total of the areas of the two triangular ends and the three rectangular faces.
Each triangle area is ...
A = 1/2bh
A = 1/2(24 m)(7 m) = 84 m²
The sum of the areas of the rectangular faces is ...
A = LW . . . for each of the 3 faces
A = (19 m)(24 m) +(19 m)(7 m) +(19 m)(25 m) = (19 m)(24 +7 +25 m)
A = (19 m)(56 m) = 1064 m²
Then the total surface area is ...
A = lateral area + base area
A = 1064 m² + 2(84 m²) = 1232 m² . . . . total surface area
Question Opony i wesom Rep.
In the figure below, AXYZ - AACB.
Find sin B, tan B, and cos B.
Round your answers to the nearest hundredth.
С
sinB = 0
10.8
23.1
tan B
Z
25.5
A
B
COSB =
Answer:
is there any thing else in that question
If PQ is reflected across the x-axis, what will be the
coordinates of P'Q'?
OA) P (4, 4) and Q'(1, 2)
OB) P(-4,-4) and Q'(-1, -2)
OC) P (4, -4) and Q'(1, -2)
OD) P(-4,0) and Q'(-1, -2)
Will mark brainliest
Answer:
B) P' (-4, -4) and Q' (-1, -2)
Step-by-step explanation:
From inspection of the graph:
P = (-4, 4)
Q = (-1 ,2)
If the line PQ is reflected across the x-axis, then the x-coordinates of the points do not change, and the y-coordinates of the points become negative.
Therefore,
P' = (-4, -4)
Q' = (-1, -2)
Reflected over x axis so x co-ordinates remains constant.
The line is present in Quadrant 2 so it will be shifted to quadrant 3.
y co-ordinates will be negative.(In Q3 y<0)So the rule is (x,-y)
The co-ordinates are
P(-4,-4)Q(-1,-2)If the wages are
And the number of withholding allowances claimed is
At least
But less than
0
1
2
3
4
5
6
7
8
9
10+
The amount of income tax withheld is
720
740
80
62
44
26
14
1
0
0
0
0
0
740
760
83
65
47
28
16
3
0
0
0
0
0
760
780
86
68
50
31
18
5
0
0
0
0
0
780
800
89
71
53
34
20
7
0
0
0
0
0
800
820
92
74
56
37
22
0
0
0
0
0
0
820
840
95
77
59
40
24
11
0
0
0
0
0
840
860
98
80
62
43
26
13
1
0
0
0
0
The following table shows the federal income tax for a single person for a biweekly payroll period withheld in 2005.Find the amount of taxes withheld for a single person with 2 withholding allowances claimed making $799 per payroll period.
a.
$47
c.
$53
b.
$50
d.
$56
Please select the best answer from the choices provided
Based on IRS regulations, the taxes withheld for a single person with 2 withholding allowances making $799 per period is C. $53.
IRS regulations in 2005 stated that when a person who is making at least $780 per payroll period, but not more than $800, and had 2 withholding allowances, they would have taxes withheld of $53.
The single person in this scenario is making $799 which falls into the above bracket so they will have taxes withheld of $53.
In conclusion, option C is correct.
Find out more on withholding taxes at https://brainly.com/question/24152652.
Ken ate three donuts. The percentage of the daily allowance for fat is 17% for one
serving, which is one donut. After eating the three donuts, what percentage allowance is
Ken still able to eat?
It takes an ant farm 3 days to consume of an apple. At that rate, in how many days will the ant farm consume 3 apples?
A triangle with sides of 5, 12, and 13 has both an inscribed and a circumscribed circle. What is the distance between the centers of those circles
Answer:
about 4.03 units
Step-by-step explanation:
The incircle of a triangle is tangent to each of the sides. The points of tangency from a given vertex are the same lengths. In a right triangle, the points of tangency from the right angle are equal in length to the radius of the incircle. These facts let us write an equation for the perimeter of the triangle in terms of the incircle radius and the side lengths:
2(r) +2(a -r) +2(b-r) = a +b +c
2a +2b -2r = a +b +c . . . . . simplify
a +b -c = 2r . . . . . . . . . . . add 2r -a -b -c
r = (a +b -c)/2 . . . . . radius of the incircle
For our triangle, with a=5, b=12, c=13, the radius is ...
r = (5 +12 -13)/2 = 2
In our diagram, if point C is the origin, the coordinates of the incenter (D) are (2, 2). The circumcenter (E) is the midpoint of the hypotenuse, so will have coordinates (b/2, a/2) = (6, 2.5).
The distance formula can be used to find the distance between D and E:
d = (√((6 -2)² +(2.5 -2)²) = √16.25
The distance between the incenter and circumcenter is √16.25 ≈ 4.0311.
_____
Additional comment
In the attached diagram, we used angle bisectors to locate the incenter. This was done before we realized how simple it was to calculate its location.