Answer:
a}[tex]P_1= 0.3[/tex]
b)[tex]P_2 =0.45[/tex]
c) NOT INDEPENDENT
Step-by-step explanation:
From the question we are told that
Sample space
Math majors are 3
computer science majors are 3
Generally the sample space is
Mathematically the sample space required on Monday is given as [tex]S_m= 3c_1 * 3C_2[/tex]
where [tex]S_m[/tex] =sample space on Monday
Therefore,
[tex]P_1[/tex] = [tex]\frac{3C_1 *3C_2}{6C_3}[/tex]
[tex]P_1=\frac{3*3}{20}[/tex]
[tex]P_1=\frac{6}{20}[/tex]
b)
Generally the the equation is given as
[tex]P_2 =P(\frac{x \cap y}{y})[/tex]
where
x is selecting two math major and 1 computer science major on Monday
y is at leas one math major selected
[tex]P_2 =\frac{^3C_1*^3C_2}{^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}[/tex]
[tex]P_2 =\frac{3*3}{3*3 + 3*3 +^1*1}[/tex]
c)
Generally in representing independent events
[tex]P_3=p(x \cap y)[/tex]
=>[tex]p(x) * p(y)[/tex]
Mathematically
[tex]n(x)= ^3C_1 *^3C_2[/tex]
[tex]n(y)={^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}[/tex]
therefore
[tex]n(x \cap y) =^3C_1 *^3C_2[/tex]
This does not satisfy the two equations stated above therefore NOT INDEPENDENT
In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140
Answer:
110,........................
when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght she have tried to solve? what is the solution of the equation?
Answer: -3 + 4*x^2 = - 3 + (2*x)^2
Any value of x is a solution for this eqution.
Step-by-step explanation:
She ended with -3 = -3
This is trivial, if we had an equation with one variable, something like:
f(x) = equation.
Ending with something like -3 = -3 means that we do not have any restriction with respect to x, so x could take any value.
This will happen if the terms with x in the left side are exactly the same as the terms in the right side, for exampe:
-3 + 4*x^2 = -3 + 4*x^2
In that case, we can substrrat 4*x^2 in both sides, and we will end with:
-3 = -3
This means that the solution for this equation is any value of x.
We also could rewrite this as:
-3 + 4*x^2 = - 3 + (2*x)^2
So the terms look different, but the terms are exactly the same for any value of x.
what is -5 - 1/2 equal?
Answer:-5.5
Step-by-step explanation:1/2 is basically .50 so -5 - .50 gives you -5.5
Answer:
-5.5
Step-by-step explanation:
When you do -5 - 1/2, you get -5.5!
Which set of ordered pairs does not represent a function? O {(-3,-9), (7,9), (9, 1), (7,3)} O {(-3,8),(-6,5), (-5, -6), (1,-6)} O {(3,1),(-2,-9), (6,-9),(4,6)} o {(4,3), (-4,4),(-2,-5), (6,4)}
Answer:
The first set of ordered pairs is not a function.
Step-by-step explanation:
The X value of 7 repeats, which means that it is not a function
please answer it fast
Answer:
c
Step-by-step explanation:
5) The sales tax in the town where Amanda lives is 5%. Amanda paid $35
in sales tax on a new stereo. What was the price of the stereo?*
O a. $14.29
O b. $1.75
O c. $700
O d. $3,500
Answer:
$700
Step-by-step explanation:
Given that,
The sales tax in the town where Amanda lives is 5%.
Amanda paid $35 in sales tax on a new stereo.
We need to find the price of the stereo. Let it is x. Using the formula for percentage as follows :
[tex]\%=\dfrac{\text{sales tax}}{\text{total}}\times 100\\\\5\%=\dfrac{35}{x}\times 100\%\\\\x=\dfrac{35\times 100\%}{5\%}\\\\=\$700[/tex]
So, the price of the stereo is $700. Hence, the correct option is(c).
5.6 x 10 __= 5,600
hurry
Answer:
its 10^3 power or 1000
Step-by-step explanation:
which of the following are vertical asymptotes of the function y=2cot3[x]+4 check all that apply
Answer:
According to a p e x the answers are x= pi, x=2pi, and x=+- pi/2
Multiplication Property of One
1⋅w⋅16
Answer:
The correct answer is 16w.
Step-by-step explanation:
w = 1w
1⋅w⋅16 =
1⋅1w⋅16 =
16w
Therefore, the correct answer is 16w.
Hope this helps! :D
solve 2sin(2x) - 2sinx +2sqrt3 cosx - sqrt3 = 0
Answer:
2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0
-----
4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0
-----
Factor:
2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0
-----
[2cos(x)-1][2sin(x)+sqrt(3)] = 0
Solve:
2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0
cos(x) = 1/2 or sin(x) = -sqrt(3)/2
x = +/-pi/3 or x = -pi/3 or (4/3)pi
hope this helps!
Answer:
x = +/-pi/3 or x = -pi/3 or (4/3)pi
Step-by-step explanation:
2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0
4sinxcosx - 2sinx + 2sqrt(3)cosx - sqrt(3) = 0
2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0
[2cos(x)-1][2sin(x)+sqrt(3)] = 0
2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0
cos(x) = 1/2 or sin(x) = -sqrt(3)/2
x = +/-pi/3 or x = -pi/3 or (4/3)pi
What is the perimeter of a rectangle with a height of 4 units and a length of 21 units?
A 75 units
B 44 units
С 25 units
D 50 units
Answer:
С 25 units
Step-by-step explanation:
hope this help
pick me as the brainliest
Answer:D
Step-by-step explanation:
What is the area of this kite?
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwNHJBVjU5YmlNNWhaTGZXMmhRVnNJTVJTSWFCSUVGQW5aQTBLVEhDWjEzdGxuY2xyRF9zcHhmVGxqV0ZBbl9IZXl3dlBvcW5SM01XZlFVVnNhNldHUjBmNzVmQS5jZV9xLXlWdzVyXzFWQ1pB?w=400&h=400
a
29 square meters
b
49 square meters
c
39 square meters
d
19 square meters
Answer:
39 square meters.
Step-by-step explanation:
9 times 3 is 27. You have two triangles with length and width of 9 and 3 so you multiply it and get 27. You also have two smaller triangles of 3 and 4 and if you combine them it is really just a square. It is 3 times 4 which is 12. Now, the answer is 12 + 27 and you get 39 square meters. Hope it helps. Brainliest would be cool
Find the measure of X plz
Answer:
X = 44°
Step-by-step explanation:
The angle other than 68°and and x is also 68° because its a isosceles triangle.
so 68° + 68° + x = 180° (angle sum property)
136° + x = 180°
x = 180 - 136
= 44°
hope this helps.
Answer:
44
Step-by-step explanation:
two lines are similar so there angel are the Same
Pic below
....................
Answer:
b=2
Step-by-step explanation:
my uh head
but like u add 9/3 to -1 and get 2 so ya
hope this helps a bit <33
How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths
C. INTO SIXTHS
I LITRALLY JUST TOOK THE TEST ON EDGE. SO YOU CAN TAKE MY WORD FOR IT
I HOPE I WASNT TOO LATE. IF I WAS, SORRY
The number of grids or intervals on the given number line between any two consecutive whole numbers is six thus option (C) is correct.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
As per the given number line,
Since 1 is a whole number and 2 is also a whole number.
The number of intervals between 1 and 2 is 6.
Thus, between consecutive whole numbers divided on the number line is 6.
Hence "The number of grids or intervals on the given number line between any two consecutive whole numbers is six".
To learn more about the number line,
https://brainly.com/question/13189025
#SPJ2
Find the slope and y-intercept of the line in each graph. (Explore Activity 1) Please help me
Answer:
1. Slope = -2 , y-intercept = 1
2. Slope = 5 , y-intercept = -15
3. Slope = 1.5 , y-intercept = -2
4. Slope = -3 , y-intercept = 9
Step-by-step explanation:
1. The slope is -2 because using the formula y₁-y₂÷x₁-x₂ you can use the points given to you to get -2. It doesn't matter which one you pick as y1 or y2, just make sure you keep it consistent with the x numberings. I did 1--3 (which becomes 1+3) and 0-2. Those equal 4/-2 which gives you -2. Use these same steps for all of them, but with ones that don't have the points given, just pick two that are whole numbers and not decimals. For finding the y-intercept, just find the point that is on the y axis line. It is given on number one as (0,1). So, the y-intercept is 1. Hope this helps!
In how many zeros does 75! end?
Answer: 0
Step-by-step explanation: 0 because 75 doesn't have a 0
Geometry B Final Name Date Period Name the relationship. complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior 1 2) 3) 4) 5) 6) 7) 8)
Answer:
but we can't write all the answers here
Answer:
Step-by-step explanation:
1. complementary
2. alt ext
3. supplementary
4. corresponding
5. b=65
6. 34
7. x=7
8.x=18
how much does 18cm are in mm
A student club has 20 members how many ways are there for the club to choose a president and a Vice President
Answer:
Everyone should get president every month simple
What is the result of 60-15? Use the model to find the answer. A 4 B 5 C 12 D 20
Answer:
its a).4
Step-by-step explanation: 60 divided by 15= 4 you can use a calculator to check if im right if you dont trust me
The answer would be 4 if the number expression is 60 ÷ 15 after using the arithmetic operation, option (A) 4 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The number expression is:
60 ÷ 15
Using model:
= (15 + 15 + 15 + 15) ÷ 15
= 1 + 1 + 1 + 1
= 4
Thus, the answer would be 4 if the number expression is 60 ÷ 15 after using the arithmetic operation, option (A) 4 is correct.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ6
I will give brainliest
Find x and y, there is no given info, and the line that is 8 units long is not a midsegment, but it is parallel to the line that is ten units long
Answer:
x = 1.25
y = 1.75
Step-by-step explanation:
Since, the line that is 8 units long is parallel to the line that is ten units long.
Therefore, both the triangles are similar by AA postulate.
Corresponding sides of of the similar triangles are in proportion.
Therefore,
[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]
Sandra rode her bike 9 1/3 miles on Monday and 6 4/5 miles on Tuesday how many miles did Sandra walk in both days
Answer:
2 8/15
Step-by-step explanation:
Does the graph represent a function?
Yes or No
Answer:
Yes, the graph is a function because the lines do not overlap one another (vertical line test)
- I hope this helps have a great night
If 12 cookies cost $3 how much would it be for 9 cookies
ray bd bisects angle abc. solve for x
Answer:
x = 10
Step-by-step explanation:
Since, ray BD bisects ∠ABC,
Therefore, m∠ABD = m∠CBD
By substituting the values of the angles,
x° = (4x - 30)°
x - 4x = -30
-3x = -30
x = 10
Therefore, x = 10 will be the answer.
Find the possible range of c
Answer:
53
Step-by-step explanation:
trust me
Simplify
x^2 + 3x + 2 over x+1
Answer:
x+2
Step-by-step explanation:
factor and you should get (x+2)(x+1)/(x+1) and then you cancel out the (x+1)
Which is the same as 3 feet?
Answer: 36 inches
Step-by-step explanation:
hope this helps :)
Answer:
i wanna say something mean, buuuuut... water bottle
Step-by-step explanation:
Ramon earns $1,785 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
3.0%
Step-by-step explanation:
[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]