Answer:
The chance that both are statistics books is [tex]\frac{1}{21}[/tex]
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{total number of possible cases}[/tex]
Combination of n elements taken from k to k is called each of the ways of choosing k different elements from the n of the original set. That is, it is called combinations of m elements taken from k to k to all the possible groupings that can be made with the m elements. It is expressed as:
[tex]Cn,k=\frac{n!}{k!*(n-k)!}[/tex]
Remember that the factorial of a positive integer n is defined as the product of all the natural numbers before or equal to it.
A bookcase contains 2 statistics books and 5 biology books. The total number of book is 7.
2 books are chosen at random. The total outcomes can be obtained by selection of two books from seven books which is represented as follows:
[tex]C7,2=\frac{7!}{2!*(7-2)!}=\frac{7!}{2!*5!}=\frac{5040}{2*120} =\frac{5040}{240} =21[/tex]
The selection of two statistics book from two statistics book is represented as follows:
[tex]C2,2=\frac{2!}{2!*(2-2)!}=\frac{2!}{2!*0!}=\frac{2}{2*1} =\frac{2}{2} =1[/tex]
Then, the probability is:
[tex]P(A)=\frac{C2,2}{C7,2}[/tex]
[tex]P(A)=\frac{1}{21}[/tex]
The chance that both are statistics books is [tex]\frac{1}{21}[/tex]
NEED HELP ASAP
Which equation does the graph of the systems of equations solve?
two linear functions intersecting at 3, negative 2
−one thirdx + 3 = x − 1
one thirdx − 3 = −x + 1
−one thirdx + 3 = −x − 1
one thirdx + 3 = x − 1
Answer:
[tex]\frac{1}{3}x-3=-x+1[/tex]
Step-by-step explanation:
Since there are plenty of lines that can pass through a single point, he only way to solve this question is by substituting values of [tex]3[/tex] into each equation and seeing if both equations return a value of [tex]-2[/tex].
Starting with the first answer choice:
[tex]-\frac{1}{3}(3)+3=3-1,\\-1+3=3-1,\\2=2[/tex]
Since none of the equations here return a value of [tex]-2[/tex], the correct answer must not include [tex]-\frac{1}{3}x+3[/tex] or [tex]x-1[/tex].
Thus, we can eliminate answer choices A, C, and D, hence the correct answer is [tex]\boxed{\text{B. }\frac{1}{3}x-3=-x+1}[/tex]
The number of points Marcus scored in different rounds of a computer board
game is shown 236, 342, 328, 352, 352, 306, 317
What score does Marcus need in his next game to have a mean of exactly 325?
HELP FAST PLZ
Answer:583
Step-by-step explanation:
I took the test
Which fraction is equal to 3?
0A) 30/10
OB) 1/3
OC) 10/3
OD) 13/1
Answer:
The answer is 30/10
Step-by-step explanation:
30 divided by 10 is 3.
The center of a circle is at (6,-7) and the diameter of the circle is 22. Which of the following is the equation of the circle? (Part 1 and Part 2)
Answer:
P1.H.x²+y²=34
centre[h,k]=(0,0)
point=[3,5]
now
radius=[tex]\sqrt{(0-3)²+(0-5)²}=\sqrt{34}[/tex]
now
equation of a circle is;
(x-h)²+(y-k)²=[tex]\sqrt{34}²[/tex]
x²+y²=34
P:2I.(x-6)²+(y+7)²=121
centre[h,k]=(6,-7)
diameter=22
radius[r]=22/2=11
now
equation of a circle is;
(x-h)²+(y-k)²=r²
(x-6)²+(y+7)²=11²
(x-6)²+(y+7)²=121
Find the length of the third side if necessary right in simplest radical form
Answer:
[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]
The longest side , which is the opposite of side of right angle is the hypotenuse ( h ). There are two other sides, the perpendicular ( p ) and the base ( b ) .In given right triangle , hypotenuse ( h ) = [tex] \sqrt{61} [/tex] , perpendicular ( p ) = 5 & base ( b ) = ?[tex] \large{ \tt{✻ \: USING \: PYTHAGOREAN\: THEOREM : }}[/tex]
[tex] \large{ \tt{❁ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]
Plug the values and simplify![tex] \large{ ↦( \sqrt{61} })^{2} = {5}^{2} + {b}^{2} [/tex]
[tex] \large{↦ \: 61 = 25 + {b}^{2} }[/tex]
[tex] \large{↦25 + {b}^{2} = 61 }[/tex]
[tex] \large{↦ {b}^{2} = 61 - 25}[/tex]
[tex] \large{↦ {b}^{2} = 36}[/tex]
[tex] \large{↦ {b} = \sqrt{36} }[/tex]
[tex] \large{↦ b = \sqrt{ \underline{3 \times 3} \times \underline{ 2 \times 2} }}[/tex]
[tex] \large{↦b = 3 \times 2}[/tex]
[tex] \large{ \boxed{ \boxed{ \bold{↦b = 6 \: units }}}}[/tex]
Hence , the length of a third side is [tex] \boxed{ \tt{6 }}[/tex] units .✺ Never give up on something that you actually want !
۵Hope I helped! ツ
☼ Have a wonderful day / night ! ☃
# StayInAndExplore ! ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
___________________________________
Problem:Find the length of the third side if necessary right in simplest radical form.Formula:[tex]\quad\quad\quad\quad\boxed{\tt{ {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} }}} [/tex]
Remember:a = perpendicular b = base c = hypotenuseGiven:[tex]\quad\quad\quad\quad\tt{ a = 5 } [/tex]
[tex]\quad\quad\quad\quad\tt{ b = ? } [/tex]
[tex]\quad\quad\quad\quad\tt{ {c = \sqrt{61} }} [/tex]
Solution:[tex]\quad\quad\quad\quad\tt{ {( \sqrt{61}) }^{2} = \sqrt{ {(5)}^{2} + {b}^{2} }} [/tex]
[tex]\quad\quad\quad\quad\tt{ {61}= \sqrt{ {25} + {b}^{2} }} [/tex]
[tex]\quad\quad\quad\quad\tt{ 61 = \sqrt{ 25 + {b}}} [/tex]
Let's convert the "b" like this.[tex]\quad\quad\quad\quad\tt{ {b } = \sqrt{25 - 61 }} [/tex]
[tex]\quad\quad\quad\quad\tt{ {b } = \sqrt{36 }}[/tex]
[tex]\quad\quad\quad\quad\tt{ {b } = 6 }[/tex]
So the final answer is:[tex]\quad\quad\quad\quad \boxed {\boxed{\tt{ \color{magenta} {b } = 6\:units }}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
Find the solution to the equations.
2х-у=-3
х+у=0
0,0
-1,1
1,-1
Answer:
Option B : ( - 1 , 1 ) ==> x = -1 , y = 1
Step-by-step explanation:
2x - y = - 3 -------- ( 1 )
x + y = 0 => x = - y -------( 2 )
Substitute ( 2 ) in ( 1 ) : 2x - y = - 3
2( - y ) - y = - 3
- 2y - y = - 3
- 3y = - 3
y = 1
Substitute y in ( 2) : x + y = 0
x + 1 = 0
x = - 1
10t+[tex]\geq[/tex]130+3.5t
Answer:
The answer is [tex]t\geq 20[/tex].
Step-by-step explanation:
To solve the inequality, start by solving for the variable [tex]t[/tex].
To solve for the variable [tex]t[/tex], subtract [tex]3.5t[/tex] from both sides. The inequality will look like [tex]6.5t\geq 130[/tex].
Then, divide both sides by 6.5 in order to get the variable [tex]t[/tex] by itself. The inequality answer will look like [tex]t\geq 20[/tex].
What are the solutions to the quadratic equation below
Answer: B is the correct answer.
Consider the following sets of sample data: A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766 B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25 Which of the above sets of sample data has the larger spread
Answer:
Data B
Step-by-step explanation:
Given the data :
A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25
The spread of a data gives the variation in the data values of a given sample.
To obtain which data has the larger spread, we obtain the coefficient of variation. Which is the ratio of the standard deviation and the mean of the dataset.
(Standard deviation / mean) * 100%
Using calculator :
Data A :
Mean, x = 21101.5714
Standard deviation, s = 700.28925
Coefficient of Variation :
(700.28925 / 21101.5714) * 100% = 3.32%
Data B :
Mean, x = 4.24375
Standard deviation, s = 0.457006955
Coefficient of Variation :
(0.457006955 / 4.24375) * 100% = 10.77%
10.77% > 3.32%
Hence. Data B has a larger spread
► Find the percent change and tell whether it is a percent increase or a
percent decrease.
1 Original amount: 20
End amount: 15
2 Original amount: 30
End amount: 45
3 Original amount: 625
End amount: 550
4 Original amount: 320
End amount: 112
5 Original amount: 165
End amount: 222.75
6 Original amount: 326
End amount: 423.80
7 Original amount: 27
End amount: 38.61
8 Original amount: 60
End amount: 70.02
Answer:
1 Original amount: 20
End amount: 15
(20 - 15)/20 x 100 = (5/20) x 100 = 25% decrease2 Original amount: 30
End amount: 45
(45 - 30)/30 x 100 = (15/30) x 100 = 50% increase3 Original amount: 625
End amount: 550
550/625 =550 ÷ 625 =0.880.88 =0.88 × 100/100 =(0.88 × 100)/100 =88/100 =88% decrease4 Original amount: 320
End amount: 112
(112-320):320x100 =100 =(112:320-1)x100 =100 =35-100 = -65% decrease5 Original amount: 165
End amount: 222.75
165/222.75 =165 ÷ 222.75 ≈0.7407407407407410.740740740740741 =0.740740740740741 × 100/100 =(0.740740740740741 × 100)/100 ≈74.074074074074/100 =74.074074074074% ≈74.07% Increase6 Original amount: 326
End amount: 423.80
(423.8-326):326x100 =100 =(423.8:326-1)x100 =100 =130-100 = 30% Increase7 Original amount: 27
End amount: 38.61
(38.61-27):27x100 =100 =(38.61:27-1)x100 =100 =143-100 = 43% Increase8 Original amount: 60
End amount: 70.02
(70.02-60):60x100 =100 =(70.02:60-1)x100 =100 =116.7-100 = 16.7% IncreaseFind the value of X (in this picture)
Answer:
x = 89
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+32+ 59 = 180
Combine like terms
x + 91 = 180
Subtract 91 from each side
x +91-91= 180-91
x = 89
BET YOU CANT SOLVE THIS....
A large soda bottle cap has a radius of 1+2 /2 centimeters. What is the area of the bottle cap? (R the area of a circle is no where r is the radius). 1 + 2v2 A. (5-12 - square IT square centimeters
Answer:
bottle top
Step-by-step explanation:
What is the volume of a sphere with a diameter of 57.1 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
so we have to use the formula 4/3PiR^3
which if we do we get the volume of
V≈97478.08
Answer:
V≈97478.08cm³
Step-by-step explanation:
Using the formulas
V=4/3πr3
d=2r
V=1/6πd3
D=1
1/6·πd3 1/6π ·57.13≈97478.07565cm³
I hope this helps. I worked hard on this one.
I need help please I don’t understand
9514 1404 393
Answer:
1. ∠EDF = 104°
2. arc FG = 201°
3. ∠T = 60°
Step-by-step explanation:
There are a couple of angle relationships that are applicable to these problems.
the angle where chords meet is half the sum of the measures of the intercepted arcsthe angle where secants meet is half the difference of the measures of the intercepted arcsThe first of these applies to the first two problems.
1. ∠EDF = 1/2(arc EF + arc UG)
∠EDF = 1/2(147° +61°) = 1/2(208°)
∠EDF = 104°
__
2. ∠FHG = 1/2(arc FG + arc ES)
128° = 1/2(arc FG +55°) . . . substitute given information
256° = arc FG +55° . . . . . . multiply by 2
201° = arc FG . . . . . . . . . subtract 55°
__
3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.
∠T = 1/2(arc FS -arc US)
∠T = 1/2(170° -50°) = 1/2(120°)
∠T = 60°
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
Solve for X.
Multiple choice!
Thank you!
Answer:
9
Step-by-step explanation:
the 2 angles create a right angle ( indicated by the little square.)
right angles have a measure of 90 degrees
hence, 90 = 72 + 2x
( note that we just created an equation that we can use to solve for x )
we now solve for x using the equation we created.
90 = 72 + 2x
step 1 subtract 72 from each side
90 - 72 = 18
72 - 72 cancels out
we now have 18 = 2x
step 2 divide each side by 2
18 / 2 = 9
2x / 2 = x
we're left with x = 9
I WILL MARK BRAINLIEST!
Two identical rubber balls are dropped from different heights. Ball 1 is dropped from
a height of 110 feet, and ball 2 is dropped from a height of 276 feet. Use the
function f(t) -16t2 + h to determine the current height, f(t), of a ball dropped from a
height h, over given time t.
Write a function for the height of ball 1.
hi(t)
9514 1404 393
Answer:
h₁(t) = -16t² +110
Step-by-step explanation:
Put the given initial height into the given formula. That will give the requested function. If the function name is supposed to be h₁(t), then rename it.
f(t) = -16t² +110 . . . . . . h = 110, the initial height
h₁(t) = -16t² +110
the students in charge of the class booth at a carnival would like to earn $3 for every item they sell. they spent $55 for the materials to make the items. solve the inequality 3x-55_>65 which represents how many items they need to sell to make profit of at least $65
Answer:
x ≥ 40
Step-by-step explanation:
3x - 55 ≥ 65
combine like terms
3x ≥ 65 + 55
3x ≥120
divide both sides of the equation by 3
x ≥ 40
Choose the most accurate answer. What is necessary in Dedoose for producing mixed methods research (e.g., analyses that include statistics)
Answer: Hello the options related to this question is missing below are the missing options
A. Themes
B. Excerpts
C. Descriptors
D. Codes
answer:
Descriptors
Step-by-step explanation:
Descriptors is a piece of data used to describe how other data are to be stored or stored. they are very necessary in Dedoose for producing mixed methods research
while a mixed method research is a type of research that uses past research data. using all possible ways
please help thanks I will follow if you answer correctly
i need help with this geometry question pleasee
Answer:i dont know
Step-by-step explanation:lol
Answer:
tmabm queria saber
Step-by-step explanation:
What is the smallest counting number divisible by 2, 4, 5, 6, and 12
What is the value of (–7 + 3i) – (2 – 6i)?
–9 + 9i
–9 – 3i
–5 – 3i
–5 + 9i
Answer:
- 9 + 9i
Step-by-step explanation:
(- 7 + 3i) - (2 - 6i)
- 7 + 3i - 2 + 6i
- 7 - 2 + 9i
- 9 + 9i
Cary calculated the surface area of a box in the shape of a rectangular prism. She wrote the equation 148 = 2 (6w + 6h + hw) to represent the width and height of the box. She solved for w and got w = StartFraction 74 minus 6 h Over h + 6 EndFraction Which of the following is an equivalent equation?
Answer:
the answer is w = 148-12h/12+2h
The equivalent equation is -
[tex]$w=\frac{74-6h}{h+6}[/tex]
We have the equation written by Carly → 148 = 2 (6w + 6h + hw) that represent the width and height of the box in the shape of a rectangular prism.
We have to solve for w.
What do you mean by Equivalent expression ?Any expression written in a form different from the original form, but gives same result for any input are called equivalent expressions.
Solve for x : [tex]$log(\frac{x}{\omega}) = 2\pi[/tex]We have -
[tex]$log(\frac{x}{\omega}) = 2\pi[/tex]
log(x) - log(ω) = 2π
log(x) = 2π + log(ω)
x = [tex]e^{(2\pi + log(\omega))} = e^{2\pi } \times e^{log(\omega)}[/tex]
According to the question, we have -
148 = 2 (6w + 6h + hw)
(6w + 6h + hw) = 74
hw + 6w = 74 - 6h
w(h + 6) = 74 - 6h
[tex]$w=\frac{74-6h}{h+6}[/tex]
Hence, the equivalent equation is -
[tex]$w=\frac{74-6h}{h+6}[/tex]
To solve more questions on Rearranging expression, visit the link below-
https://brainly.com/question/1824488
#SPJ2
what is the probability that 1 or 2 are rolled on a number cube with sides numbered 1, 2, 3, 4,
5, and 6?
Answer: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
total sides = 6
p (rolling a 1) = [tex]\frac{1}{6}[/tex]
p (rolling a 2) = [tex]\frac{1}{6\\}[/tex]
Note:
or - add
and - multiply
∴ [tex]\frac{1}{6} +\frac{1}{6} = \frac{2}{6}[/tex]
∴ [tex]\frac{2}{6} = \frac{1}{3}[/tex]
hence, p (rolling a 1 or 2) = [tex]\frac{1}{3}[/tex]
120+12314543-900-90+12
Answer:
12313685 is the answer............happy to help u
Add - 3/x + 7y/x .
-4y/2x
-3 + 7y/x
- 10y/x
-3 + 7y/2x
Answer:
[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{x} , \frac{7y}{x}[/tex]
Required
Add
The statement can be interpreted as:
[tex]-\frac{3}{x} + \frac{7y}{x}[/tex]
Take LCM
[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]
Francis borrowed $20 from his dad in the morning. Later, he gave his dad 8
dollars back. What rational number represents the overall amount of money Francis still owes his dad?
Answer:
13
Step-by-step explanation:
Francis borrowed 20$ and gives his dad 8$ he owes 12$ I hope it helps :)
please help zkhdusjdushs
Answer:
48
Step-by-step explanation:
16×3=48
therefore the answer is forty eight
need answer !! please
Step-by-step explanation:
-5(4)+2
-20+2
-18
just put 4 on the place of x
Answer:
[tex]=-18[/tex]
Step-by-step explanation:
[tex]g(x)=-5x+2[/tex]
Let's substitute 4 for x and solve.
[tex]g(4)=-5(4)+2[/tex]
[tex]g(4)=-20+2[/tex]
[tex]g(4)=-18[/tex]
This means that when the function of [tex]g[/tex] is 4, then the [tex]x[/tex] value is [tex]-18[/tex]
Hope this helps.
