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
how to graph y=-8/3x+9
Step-by-step explanation:
this is the equation for a line in slope-intercept form
the y-intercept is 9, so find (0,9) on the graph
then, the slope is -8/3 (think "rise" over "run"), so from the point (0,9) you have to count down 8 (for -8) and then to the right 3 (for +3). from this point, you can now repeat the pattern of counting down 8 and right 3 and making points to connect.
when at least two points are connected, you have a line and that is your graph
Assuming there are no reflections or dilations,
explain how you would write the oquation of the
function whose graph is sketched below.
Answer:
Step-by-step explanation:
We can see that this graph looks something like the graph of:
f(x) = 1/x^2
But the asymptotes of 1/x^2 are at x = 0, and in this case we can see that the asymptotes are near x = -3.
This may mean that the graph has been horizontally shifted 3 units to the left.
A general way to write an horizontal shift of N units is:
g(x) = f(x + N)
if N is positive, then the shift is to the left, if N is negative, then the shift is to the right.
In this case, we will have;
g(x) = f(x + 3)
And f(x) = 1/x^2
then:
g(x) = 1/(x + 3)^2
Graphing that, we get the graph shown below, that is almost the same as the graph in the image.
Combine the like terms to create an equivalent expression.
5 + 3t +4-t
Answer:
2t + 9
Step-by-step explanation:
5 and 4 are like terms. 3t and -t are like terms
= 2t + 9
or 9 + 2t
Answer:
2t + 9
Step-by-step explanation:
5 + 4 = 9
3t - 1t = 2t
Transfer into algebraic symbols: 11 less than the square of a number. Use x to represent the number.
Answer:
[tex]11-x^2[/tex]
Step-by-step explanation:
"11 less than the square of a number" can be written as an algebraic inequality as → 11 < x².
What is inequality?An inequality compares two numbers or expressions. For example, we can write -
2x + 3 > 5
2x + 9 < 1
Given is the mathematical statement as -
" the square of a number is greater than 11"
We can write the mathematical statement as an algebraic inequality as follows. Let the number be {x}. We can write -
11 < x²
Therefore, "11 less than the square of a number" can be written as an algebraic inequality as → 11 < x².
To solve more questions on inequalities, visit the link below
https://brainly.com/question/30231017
#SPJ2
Find the quotient in their exponential form.
a) (8/27)power 5 ÷ (2/3)power 7
The first person who do this numerical i will give him 25 stars and rank the brainliest plz guys tell fast its urgent for me
Answer:
0.609663161
Step-by-step explanation:
(8/27)power5 = 5.57533755
(2/3)power7= 9.14494717
then, u just devide... from what i know
Answer:
It is 0.609663161
Step-by-step explanation:
Hope this helped have an amazing day!
Please give me the correct answer
Answer:
the correct answer is 5 places
Simplest form of -1 5/8 divided by 5 8/9
Answer:
the answer is -117/424, hope this helps :)
Here is the histogram of a data distribution. All class widths are 1.
Which of the following numbers is closet to the mean of this distribution?
A. 5
B. 4
C. 2
D. 10
E. 3
Answer:
C) 2
Mean of the given distribution = 2
Step-by-step explanation:
Explanation:-
Given data from histogram
1 , 4, 5 ,4 ,2, 1, 1 , 1, 1,0
Mean of given data
= ∑x / n
Given n = 10
[tex]Mean = \frac{1+4+5+4+2+1+1+1+1+0}{10} = \frac{20}{10} =2[/tex]
Mean of the given distribution = 2
Answer:
Its actually 4
Step-by-step explanation:
A p e x
What is the value of y if f||n
?????
Answer:
y = 148°
Step-by-step explanation:
4x - 18 = 2x + 12 (alternate exterior angles are congruent)
Collect like terms
4x - 18 = 2x + 12
4x - 2x = 18 + 12
2x = 20
Divide both sides by 2
x = 10
y = 180 - (2x + 12) (linear pair theorem)
Plug in the value of x
y = 180 - (2(10) + 12)
y = 180 - (20 + 12)
y = 148°
Pls work out and give detail. Use the slope formula to determine the slope of each line.
4. AB
ТУ
41
2
2ТА
B
Х
— 4 — 2
O|
2
N
т
-4 +
Answer:
[tex]m=0[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the slope of the line
From the attachment, we have the following points
[tex](x_1,y_1) = (-4,1)[/tex]
and
[tex](x_2,y_2) = (3,1)[/tex]
The slope m is then calculated using:
[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]
Substitute values for the x's and y's
[tex]m = \frac{1-1}{3 - (-4)}[/tex]
[tex]m = \frac{1-1}{3 +4}[/tex]
[tex]m = \frac{0}{7}[/tex]
[tex]m=0[/tex]
Hence, the slope is 0
What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?
Answer:
p = 7
Step-by-step explanation:
set the expressions = to each other
4(n+7) = 4(n+p)
distribute the 4 on both sides(multiplying the numbers on the inside)
4n+28 = 4n+4p
subtract the 4n from the right and left
28 = 4p
divide by 4
p = 7
What is the volume of the following cylinder?
A.) 1.695.6 cm 3
B.) 565.2 cm 3
C.) 06.782.4 cm
D.) 282.6 cm 3
Answer:
A
Step-by-step explanation:
thanks
Please be honest :( please help I’ll mark u!
Answer:
h is equal to or greater than 1. it's the first one
hi I really need help with this question
Plz show ur work
Answer:
x>-24[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
-[tex]\frac{2}{5}[/tex]x<9/10+9
-[tex]\frac{2}{5}[/tex]x<99/10
x>99/10*-5/2
1.7.PS-6
E Question Help
You buy 3.17 pounds of oranges, 1.35 pounds of peaches, and 2.68 pounds of grapes.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges $1.29 per
pound
Peaches
$1.19 per
pound
Grapes
$1.09 per
Pound
Your total bill is $.
(Round to the nearest cent as needed.)
Enter your answer in the answer box and then click Check Answer
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12/1/2020
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Answer:africa
Step-by-step explanation:
science
Help me pleaseeee (10 points )
I need help with this practice sheet
I'm confused with this
End behavior is when the graph goes left or right, does it go up or down.
In this graph, when it goes left it goes up, and when the graph goes right it goes down
as x => - infinity, f(x) => Infinity
as x => Infinity, f(x) => - infinity
The leading coefficient is negative.
The degree is even.
The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the two numbers?
Answer:
3
Step-by-step explanation:
system of equations:
[tex]a+b=4[/tex]
[tex]a^3+b^3=28[/tex]
[tex]a=4-b[/tex]
plug in for a in other equation and solve
[tex](4-b)^3+b^3=28[/tex]
[tex]64-48b+12b^2-b^3+b^3=28[/tex]
[tex]64-48b+12b^2=28[/tex]
[tex]0=36-48b+12b^2[/tex]
[tex]0=3-4b+b^2[/tex]
[tex]0=(b-3)(b-1)[/tex]
[tex]b = 3[/tex]
or
[tex]b=1[/tex]
plug into other equation to get a
[tex]a=4-b=4-3=1[/tex]
or
[tex]a=4-b=4-1=3[/tex]
multiply together
[tex]1*3=3[/tex]
Factor using grouping: x³+ 3x² + 5x = 15
PLS HELP BRAINLIST and 100 POINTS
The diagram below shows a boat and a scuba diver that is approximately 40 feet below the boat. The top of the flagpole on the boat is 15 feet above the surface of the water. The elevation of the surface of the water is 0 feet. Which number represents the elevation of the scuba diver?
A. –55 ft
B. –40 ft
C. 40 ft
D. 55 ft
Answer:
B, He is -40 due to it asking which number is his point. If he was positive 40 then he would be on an island or flying in the sky. Your answer is -40
Prove that x+1 is a factor of x^n+1 where n is an odd positive integer.
Answer:
because x^n+1 =
the number which is n and n is an odd number and my odd number is 3 so
x^3+1= 4
= x^4
What is the estimated product of 1.39 × 6.76?
1.39 rounds to , and 6.76 rounds to Therefore, the estimated product is . i´ll answer this on my own but feel free to answer to get points!!
Answer:
7
Step-by-step explanation:
1.39 rounds to 1
6.76 rounds to 7
1 x 7=7
Answer:
1,7,7
Step-by-step explanation:
The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?
Answer:
How many students can fit in a bus? 34
Answer:
You can fit 34 students on a bus
Step-by-step explanation:
Hope this helps...
My last oneeeeee help please
Answer:
C HOPE THIS HELPS MARK BRain leist
Step-by-step explanation:
Please helppppppopppp
Answer:
a..
Step-by-step explanation:
Match these?
LA
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
SAS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
SSS
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
Answer:
see below
Step-by-step explanation:
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
This is angle side angle ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
This is hypotenuse leg HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
This is side side side SSS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
This is leg angle LA
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
This is side angle side SAS
Bob needs to read 3 novels each month. Let N be the number of novels Bob needs to read in M months, Write an equation relating N to M. Then use this equation to find the number of novels Bob needs to read in 17 months.
Answer:
Equation: n=3m; Bob needs to read 51 novels over 17 months.
Step-by-step explanation:
Since the number of novels Bob needs to read (n) depends on the amount of months (m) we can say that n is the dependent variable and m is the independent. Since x is always independent and y is always independent we can say that m is going to stand for x and n is going to stand for y. Each month Bob reads 3 novels so we can write the equations as n=3m. To find out how many books he needs to read in 17 months plug it into the equation. n=3(17) -------------------> n=51
What’s is the value of the expression 7+[8-(1+9)]
Answer:
5
Step-by-step explanation:
7+(8-(1+9))
7+(8-10)
7+(-2)
7-2
5
To approach a runway, a plane must begin a 7° descent starting from a height of 5 miles above the ground. To the nearest mile, how many miles from the runway is the airplane at the start of this approach?
41 mi
54 mi
82 mi
46 mi
Answer:
41
Step-by-step explanation:
Of the factors of 12 shown, which also have a sum of 7?
A: 12,1
B: 2,6
C: 3,4