Given that:
- A stack of different cards numbered from 1 to 10.
- A card is randomly selected and then replaced. Then another card is randomly selected.
• You need to find the probability that the first card is an odd number.
By definition, Odd Numbers are those numbers that cannot be divided by 2. In this case, these are:
[tex]1,3,5,7,9[/tex]Knowing that the total number of cars is:
[tex]10[/tex]You can set up:
[tex]P(X=ODD)=\frac{5}{10}[/tex]Then:
[tex]P(X=ODD)=\frac{1}{2}[/tex]• You need to find the probability that the second card is less than 5.
Notice that the numbers cards from the stack that are less than 5 are:
[tex]1,2,3,4[/tex]Therefore, you can set up that:
[tex]\begin{gathered} P(X<5)=\frac{4}{10} \\ \\ P(X<5)=\frac{2}{5} \end{gathered}[/tex]• Now you can set up:
[tex]P=\frac{1}{2}\cdot\frac{2}{5}[/tex]Solving the Multiplication, you get:
[tex]\begin{gathered} P=\frac{1\cdot2}{2\cdot5} \\ \\ P=\frac{2}{10} \\ \\ P=\frac{1}{5} \end{gathered}[/tex]Hence, the answer is:
[tex]P=\frac{1}{5}[/tex]|5а + 10| = |6a - 8|
i don’t understand how to do this pls help
Answer:
Step-by-step explanation:
|5a+10|=|6a-8|
5a+10=±(6a-8)
5a+10=6a-8
10+8=6a-5a
a=18
or
5a+10=-(6a-8)
5a+10=-6a+8
5a+6a=8-10
11a=-2
a=-2/11
Rajesh is filing single and he has an adjusted gross income (AGI) of $84,000 for the 2018 tax year. He qualifies for the standard deduction of $12,000. Use the following 2018 Federal tax rate schedule to calculate his 2018 Federal income tax.
If your filing status is single;
Rajesh's tax in 2028 is $11,779.50 based on his adjusted gross income (AGI), standard deduction, and filling status.
How to find the tax?First, find the taxable income:
= adjusted gross income (AGI) - standard deduction
= 84,000 - 12,000
= $72,000
This taxable income is in the $38,700 - $82,500 bracket so Rajesh's tax in 2018 would be:
= 4,453.50 + 22% of the excess over $38,700:
Solving for the tax to be paid by Rajesh in 2018 is:
= 4,453.50 + ( 22% x (72,000 - 38,700))
= $11,779.50
In conclusion, the tax that Rajesh would pay in 2018 is $11,779.50.
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What ordered pairs do you get when you complete the table ?
for -1:
the equation will be:
[tex]y=3(-1)-1[/tex]and we symplyfy so:
[tex]y=-4[/tex]So the coordinate is:
[tex](-1,-4)[/tex]for 0:
the equation will be:
[tex]y=3(0)-1[/tex]so we simplify:
[tex]y=-1[/tex]so the coordinate is:
[tex](0,-1)[/tex]and for 1:
the equation will be:
[tex]y=3(1)-1[/tex]we simplify:
[tex]y=2[/tex]So the coordinate will be:
[tex](1,2)[/tex]So the answer is A)
Select all points from the list below that lie in the solution set of the system of inequalities graphed below?
Question 3 options:
(7, 0)
(3, 0)
(0, 7)
(-3, -5)
(9, -3)
(0, -1)
The points that lie in the solution set of the system of inequalities graphed are: (7, 0), (3, 0), (9, -3)
In this question, we have been given a graph system of inequalities.
We need to select all points from the given list that lie in the solution set of the system of inequalities.
The solution set for given inequalities is the set of all points which satisfy inequalities.
The solution set is represented by the common region shaded between two inequalities.
From graph, we can see that the points (7, 0), (3, 0), (9, -3) lie in the solution set of the system of inequalities graphed.
Therefore, the points that lie in the solution set of the system of inequalities graphed are: (7, 0), (3, 0), (9, -3)
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Consider the following pair of points.
(-3, -3) and (2, 9)
Step 1 of 2: determine the distance between the two points.
Step 2 of 2: determine the midpoint of the line segment joining the pair of points.
Answer:
.
Step-by-step explanation:
Determine whether the point (2,0) is a solution to the system of equations.
From the given graph of the system of equations
[tex]\begin{gathered} f(x)=|x-1|+1 \\ g(x)=3x+2 \end{gathered}[/tex]It is the point (2,0) is not on any of the graphs of f(x) and g(x). Also,
[tex]\begin{gathered} f(2)=|2-1|+1 \\ =2 \\ \ne0 \\ g(2)=8 \\ \ne0 \end{gathered}[/tex]Since (2,0) doesn't satisfy given equations, therefore, (2,0) is not a solution of the given system.
It can be noted that the solution of the system is (0,2) as it lies on the intersection of f(x) and g(x)
this question is just 4 people to get their status up. <333
Answer:
ok
Step-by-step explanation:
ok.............................
Find the length of the leg of a triangle with a hypotenuse of 16 and a side of 12
c= 4√7
1) Given that we have a leg of 12 and a hypotenuse of 16 units. Let's use the Pythagorean Theorem to find the missing leg.
2) a² =b²+c²
hypotenuse² = leg² +leg²
16² =12² +c²
256= 144 + c²
256 -144 = c²
112=c²
√c²=√112
c=4√7 (approximately 10.58 units)
3) Hence, we can state that the missing leg has the size of 4√7 units
Find the angle between the following pair of vectors: Around your answers to nearest tenths.p = < -8 , 1 > r = < -4 , 0 >
Angle = 7.1°
URGENT PLEASE HELL SOLVE FOR X . idc if you don’t show work
Factors of 12: 1. 2. 3. 4. 6. 12 Factors of 20: 1, 2, 4, 5, 10, 20 • Which numbers are common factors of 12 and 20? Choose ALL that apply. 1 2 3 6 10 12 20
The common factors are; 1,2,4
I WILL GIVE BRAINLIEST
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
Explain How You got the answer
y – 9 = –6(x – 3)
y + 9 = –6(x + 3)
y – 3 = –6(x – 9)
y + 3 = –6(x + 9)
Answer:
y – 9 = –6(x – 3)
y – 3 = –6(x – 9)
i think im not quit sure if this is correct but i hope this helps :)
Fill in the missing statement and reason in the proof of the corresponding angles theorem.
It is given that AB is parallel to CD and the points E, G, H and F are collinear.
The measure of angle EGF is 180 degrees.
Now,
Angle AGE+angle AGF=180 degrees.
So, it happends using the addition property of equality.
Now, angle AGF and CHF are the same side interior angle.
Therefore, the correct option is (D)
Find the square of each number. (Do not add extra spaces in your response.)
1.) 7 =
2.) 21 =
3.) -3 =
4.) 45 =
5.) 2.7 =
6.) −14=
7.) -5.7 =
8.) 25=
verbal expression 19a-3b=16c
We are given the expression 19a-3b=16c and told to write a verbal expression. This verbal expression should describe what is happening in the mathematical expression. Since we are multiplying 19 and a, we can describe this part by "19 times a". Then we are subtracting 3b, so we can say "19 times a minus 3 times b". Finally, we should describe that this expression is equal to 16 multiplied by c. This is achieved with the expression
"19 times a minus 3 times b equals 16 times c"
find the following and trophs velties. Foeliconicagate axis enda ontsuchsympotes 28-12-22graph item 1
vertices: (3, 2) and (-1, 2)
foci: (1+√13, 2) and (1-√13, 2)
conjugate axis endpoints: (1, 5) and (1, -1)
asymptotes: y = 2 + 3/2(x - 1) and y = 2 - 3/2(x - 1)
calculate the cost of manufacturing a standard cereal box if cardboard costs $0.05 per square inchsurface area 290inches^2 volume is 264in^2cost would be?
We will have that the cost of manufacturing would be:
[tex]C=(0.05)(290)\Rightarrow C=14.5[/tex]So, the cost per box is $14.5.
A store purchased an item for $90 and planned to sell it for $162.00 so that their profitwould be 40% of their cost. If they were unable to sell it for this amount, what minimumselling price would allow them to break even?$
Given that a store purchased an item for $90.
They want a profit of 40% of their costs.
So, 40% of their costs = 40% of $90
= 40/100 * 90
= $36
Let y be the minimum selling price
So, from the question we c an say thst:
y = $(90 + 36)
y = $126
Therefore the minimum selling price of $126 would give the profit of 40% of their cost.
Lisa started a busines 8 years ago with an intial investment of $250,000. It is now worth 6 times that amout. How much is the company worth now?
Answer:
1,500,000 is the answer
Answer:
Step-by-step explanation:
1,500,000 million, enjoy
If D = t +9t2 and C = t - t - 8, find an expression that equals D - 3C in standard form?
we have
[tex]\begin{gathered} D-3C=t+9t^2-3(t-t-8)=t+9t^2-3(-8) \\ =t+9t^2+24 \end{gathered}[/tex]in standard form
[tex]9t^2+t+24[/tex]Find the value of x that makes m II n [please help I really don't know what to do :') ]
Which of the following is the equation for a circle with a center of (−2, −3) and a radius of 7?
Okay, here we have this:
Considering the provided information, and that the form of the standard circle equation is (x-h)²+(y-k)²=r², where the centered at (h, k), and radius r, so replacing with the provided data, we obtain:
(x-h)²+(y-k)²=r²
(x-(-2))²+(y-(-3))²=(7)²
(x+2)²+(y+3)²=49
Finally we obtain that the correct answer is the first option
The cost per student of a ski trip varies inversely as the number of students who attend. It will cost each student $250 if 24 students attend. How many students would have to attend to get the cost down to $200?
ANSWER
30 students
EXPLANATION
The cost per student varies inversely as the number of students.
Inverse proportion is written as:
[tex]\begin{gathered} y\propto\frac{1}{x} \\ y=\frac{k}{x} \\ \text{where k = constant of proportionality} \end{gathered}[/tex]Let the cost per student be y.
Let the number of students be x.
It will cost each student $250 if 24 students attend. This means that:
[tex]\begin{gathered} 250=\frac{k}{24} \\ \Rightarrow k=250\cdot24 \\ k=6000 \end{gathered}[/tex]If the cost is down to $200, it means that y is now $200.
That is:
[tex]\begin{gathered} 200=\frac{6000}{x} \\ \Rightarrow x=\frac{6000}{200} \\ x=30\text{ students} \end{gathered}[/tex]Therefore, 30 students could attend.
√45 + √20 = 5√5
———————————————
Answer:
and the fact that she got to the shoe store and bought it for her if she was a kid she would have a lot of gumball toys
Step-by-step explanation:
perpendicular
help me pleasee!!
thank you
The equation of the line is [tex]f(x) =- \frac{1}{3}x -4[/tex]
How is the equation of the line calculated?
The line passes through the following points,
[tex](x_1,y_1)=(-6, -2)\\\\(x_2,y_2)=(-9,-1)[/tex]
The slope- intercept form of the equation,
y = mx +c ----(1)
(a)What is the slope (m) ?
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-1+2}{-9+6} \\\\m= \frac{1}{-3} \\\\m= -\frac{1}{3}[/tex]
(b) What is the constant ( c) ?
Substituting [tex](x_1,y_1)[/tex] and m in (1)
[tex]y = mx+c\\\\-2 = -\frac{1}{3} (-6)+c\\\\-2 = +2 +c\\\\c = -4[/tex]
Substituting m and c in (1)
y = mx +c
[tex]y =- \frac{1}{3}x -4[/tex]
Using function notation, y = f(x)
The equation of the line is,
[tex]f(x) =- \frac{1}{3}x -4[/tex]
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Please answer with if the slope is positive or negative and what the slope is.
The slope is positive ✨️
Please help me on this :)
The most appropriate choice for Arithmetic series will be given by -
Sum from first [tex]m^{th}[/tex] term to the [tex]n^{th}[/tex] term = [tex]\frac{1}{2}[a_1(n - m)+na_n-ma_m][/tex]
What is arithmetic series?
Arithmetic series is a series where the consecutive terms of the series maintains a constant difference known as the common difference of the series.
If a be the first term of the series and d be the common difference of the series, then [tex]n^{th}[/tex] term of the series [tex]a_n[/tex] is given by
[tex]a_n = a+(n-1)d[/tex]
Here,
The sum of the first n terms of the arithmetic progression =
[tex]\frac{n}{2}(a_1 + a_n)[/tex]
The sum of the first m terms of the arithmetic progression =
[tex]\frac{m}{2}(a_1 + a_m)[/tex]
Sum from first [tex]m^{th}[/tex] term to the [tex]n^{th}[/tex] term = [tex]\frac{n}{2}(a_1 + a_n)[/tex] - [tex]\frac{m}{2}(a_1 + a_m)[/tex]
= [tex]\frac{1}{2}(na_1 + na_n-ma_1-ma_m)[/tex]
= [tex]\frac{1}{2}[a_1(n - m)+na_n-ma_m][/tex]
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write the equations of all the circles in the design from smallest to biggest .( please help me )
The equation of a circle is given by the formula;
(x-h)² + (y-k)² = r²
r is the radius of the circle
(h,k) is the center of the circle
Smallest circle (Red circle)
r = 1
(h,k)= (0, 7)
substitute the values into the formular
(x - 0)² + (y-7)² = 1²
x²+ (y-7)² =1
Bigger circle (Blue circle)
r= 3 h=0 K=3
substitute the values into the formula
(x -0)² + (y-3)²= 3²
x² + (y-3)² = 9
Biggest circle ( Orange Circle)
r=5 h=0 K=-5
substitute the values into the formula and evaluate
(x-0)² + (y+5)² = 5²
x² +(y+5)² = 25
someone help me thanks! it's on pythagoras theorem btw
Answer:
y = 3
Step-by-step explanation:
Pythag theorem : ( only applies to RIGHT triangles)
Hypotenuse ^2 = leg1 ^2 + leg 2^2
(7y-1)^2 = (5y-3)^2 + (5y+1)^2
49 y^2 - 14y +1 = 25y^2 -30 y + 9 + 25y^2 + 10y + 1
-y^2 + 6y -9 = 0
or y^2 -6y + 9 = 0 solve by factoring or using Quadratic Formula
( y -3)(y-3) = 0 shows y = 3
Juan and Raj cut up a banana to put on cereal. Juan puts 1/7 of the banana on his bowl of cereal, and Raj puts 2/5 of the banana on his bowl of cereal. What fraction of the banana did Juan and raj put on their cereal.
Juan and Raj put 19/35 fraction of banana on their cereal.
What is a fraction?
A number that represents a rational number is called a common fraction. A decimal, percent, or negative exponent can all be used to represent the same number. For instance, the fraction 1/100 is equivalent to the values 0.01, 1%, and 102. The implicit denominator of an integer can be conceived of as being one (for instance, 7 = 7/1). The term "set of rational numbers" in mathematics refers to the collection of all numbers that can be stated in the form a/b, where a and b are integers and b is not zero. This collection is denoted by the letter Q, which stands for quotient. When a number can be expressed in that way, it is said to be a rational number (i.e., as a common fraction).
1/7 + 2/5
= (5 + 14)/35
= 19/35
Hence, Juan and Raj put 19/35 fraction of banana on their cereal.
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