The probability to the statement to be true is 1/5.
Probability:
Probability refers the chance of an event occurring.
The formula of the probability is,
Probability = the number of ways of achieving success / the total number of possible outcomes.
Given,
The inhabitants of an island tell
the truth with probability 1/3 and
lie with probability 2/3, independently of each other.
One islander makes a statement. a second islander says that the first islander told the truth.
Here we need to find the probability of the statement.
Let us assuming the two islanders statements are independent, the probability they both told the truth is
=> 1/3 x 1/3 = 1/6
If the probability of the second guy backing up the first statement is the probability they both lied or they both told the truth
=> (2/3 x 2/3) + (1/3 x 1/3)
=> 4/9 + 1/6
=> 5/9
So, the probability of the first guy telling the truth, given that the second guy claiming it was true
=> P(A|B) = P(AB)/P(B)
=> (1/9) / (5/9) = 1/5.
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What number is 260% of 28
Answer:
72.8
Step-by-step explanation:
Answer:
20.72 is the answer because.260×28= 7.28
uestion to Answer:
1. What can you say about the value of a polynomial
when P(a)=0
Answer:
The expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0
Step-by-step explanation:
The question would be better answered if you gave option. Since there is no option, I'll answer the question generally.
Given
[tex]P(a) = 0[/tex]
The above expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0
Take for instance, the polynomial is:
[tex]P(x) = x^2 - x - 2[/tex]
And the divisor is x - 2, then P(2) = 0 because (x - 2) is a divisor of the equation.
[tex]\frac{P(x)}{x} =\frac{x^2 - x - 2}{x - 2}[/tex]
Factorize the numerator
[tex]\frac{P(x)}{x} =\frac{(x- 2)(x + 1)}{x - 2}[/tex]
[tex]\frac{P(x)}{x} =x + 1}[/tex]
See that x - 2 is a divisor
To check
Set x - 2 to 0
[tex]x -2 = 0[/tex]
[tex]x = 2[/tex]
So, we have:
[tex]P(x) = x^2 - x - 2[/tex]
[tex]P(2) = 2^2 - 2 - 2[/tex]
[tex]P(2) = 4 - 2 - 2[/tex]
[tex]P(2) = 0[/tex]
-x + 4 = -12
What's x
Answer:
x =16
Step-by-step explanation:
-x+4=-12
-4 -4
-x=-16
/- /-
x=16
Answer:
x=16
Step-by-step explanation:
-x+4=-12
Subtract 4 from -12 ( -16 )
Divide
-x/-16 ( 16 )
x=16
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form. Please help:)
64,16,4
Answer:
Step-by-step explanation:
the common difference is 4
it is geometric
I need help and D. Is x>-25
Answer:
x>50
Step-by-step explanation:
Answer:
x < 25
Step-by-step explanation:
Given
- 2x > - 50
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity
x < 25
Graph the line 3y - 2x = 3 on the axes provided. Determine and state the slope and the
y-intercept of each line. Graph the line y=5. State the coordinate of the intersection.
Answer:
You can find the answer in the graph below.
Step-by-step explanation:
3y - 2x = 3
x- int = (-1.5,0)
y-int = (0,1)
slope = 2/3x
-----------------------------
y=5 and 3y - 2x = 3 intersection is on (6,5)
----------------------
y=5 : y-int : (0,5)
The slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).
The equation of the line is 3y-2x=3.
In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.
The slope intercept form of the given equation is
3y=2x+3
y=2/3 x+1
Here, the slope of a line = 2/3 and the y-intercept of a line = (0, 1).
The graph of the line y=5, is attached below.
From the graph, the coordinate of the intersection is (6, 5).
Therefore, the slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).
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a tree of 14 m height is broken so that its top touches ground and makes an a 60 degeree.find the length of broken part of tree
Answer:
98 - 24√3 is your answer dear.
Step-by-step explanation:
Let the length of broken part of the tree = 14 - x
For finding x
sin60° = √3/2 = x /14-x
14√3 - √3x = 2x
14√3 = 2x + √3x
14√3 = (2 + √3)x
x = 14√3/(2 + √3)x
after rationalisation
x = 24√3 - 84
substract it 14 - (24√3 - 84)
YOU'LL GET 98 - 24√3 WHICH IS YOUR ANSWER.
What does the x equal ?
Answer:
80
Step-by-step explanation:
graph the following equation using the slope intercept method
3x+5y=-15
Answer:
Step-by-step explanation:
What is f(-4) if f(x)=-2x-8?
Step-by-step explanation:
First we find the function
g
(
f
(
x
)
)
To do this we substitute the variable
x
in
g
(
x
)
for
f
(
x
)
:
∴
g
(
x
)
=
3
x
−
2
g
(
f
(
x
)
)
Of the eight teachers at Jackson Middle School, 4 are female and 4 are male. Four of the teachers will be selected at random to lead a student field trip. What is the probability that all of the teachers selected will be female?
Answer:
1/16Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Number of event/ Total outcome of sample space
Since there are 8 teachers in a school, the Total outcome = 8
If four of the teachers will be selected at random to lead a student field trip,
Probability of selecting first female teacher = 4/8 = 1/2
Probability of selecting 2nd female teacher = 4/8 = 1/2
Probability of selecting 3rd female teacher = 4/8 = 1/2
Probability that all of the teachers selected will be female = 1/2* 1/2* 1/2* 1/2
Probability that all of the teachers selected will be female = 1/16
PLEASE HELP WITH MATH TEST I WILL MARK BRAINLIST
I will report you if you don’t help because all day I have been getting trolls
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A scientist records the motion of a dolphin as it jumps from the water. The function`h\left(t\right)=-8t^{2}+32t` models the dolphin’s height in feet above the water after t seconds. Show all work and explain your answers clearly. Use complete sentences.
What is the dolphin's maximum height?
Answer:
96
Step-by-step explanation:
you have to find the answer to 8t by the power of 2 multiplied witch is 64 + 32t = 96
PLEASE ANSWER! NEED HELP!
Answer:
^eksponensial^
my answer lies in paper
W^2=17 Solve the equation.
Answer:
w = ±√17
Step-by-step explanation:
W^2=17 Solve the equation.
w² = 17
w = ±√17
Answer:
w = √17 (or) 4.12
Step-by-step explanation:
Given that,
→ w² = 17
Then the value of w is,
→ w² = 17
→ w = √17
→ [ w = 4.12 ]
Hence, the value is √17.
Graph the line that has a slope of 1/2 and includes the point (6,7)
Answer:
Graph (0,4), graph (6,7) then connect in a straight line.
Step-by-step explanation:
1) Find the volume of the figure below. Round to the tenth place, if
necessary.
11 in.
6 in.
6 in.
Your answer
Can someone help me please
Answer:
It should be 396
Step-by-step explanation:
11x6=66
66x6 should get u to 396
Katy has kidney stones that need to be broken down and removed. Which healthcare professional would be primarily in charge of the procedure?
an endourologist
a surgical technician
a cytoscopic nurse
a urologic oncologist
Answer:
an endourologist
Step-by-step explanation:
just took the review
Answer:
a
Step-by-step explanation:
Two-thirds of the sum of 4 and k
Words to expressions
The expression would be:
(2/3)(4 + k)
Answer:
[tex]\frac{2}{3}(4 + k)[/tex]
Step-by-step explanation:
Sum of 4 and k : 4 + k
Two thirds of the sum of 4 and k :
[tex]\frac{2}{3}(4 + k)[/tex]
Brianna’s family bought 7 tickets to an amusement park for $202. If Adult tickets were $34 and youth tickets were $22, how many adult tickets and how many youth tickets did her family buy?
Answer:
4 adults tickets and 3 youth
Step-by-step explanation:
Trust me bro
HELP HELP HELP!!!!!is this correct?if not which one is correc
Answer:
Step-by-step explanation:
it has 2 solutions, 0 and 11
Which number is an irrational number
Square root 100
1/8
-2.2675
3 square root of 16
Answer:
square root 100
3 square root of 16
are the Lines parallel, perpendicular, or neither?
Answer: The lines are perpendicular.
To solve, we can find the slope of each line and compare them to the qualities of parallel and perpendicular lines.
Vocabulary and SlopeParallelThe lines run in the same direction and can never meet. If the lines are parallel, they would have the same slope.
PerpendicularThe lines meet at 90°. If the lines are perpendicular, the slopes would be negative reciprocals of each other.
The negative reciprocal of a number is when we flip the fraction upside down and change the negative sign.To check this, we could multiply the two slopes together and the answer will be –1.How to Find SlopeUse the slope formula. Slope is represented by the letter m.
[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]
On a graph, we write points as (x, y). To use the formula, we need two points on each line. The question already shows what points we can use.
Choose which point coordinates will be x₁, y₁ and x₂, y₂.Substitute the points into the formula.Solve.a) Blue lineThe points are (2, -7) and (6, 5). The variables can be:
x₁ = 2
y₁ = -7
x₂ = 6
y₂ = 5
Substitute into the slope formula and solve for slope.
[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]
[tex]\displaystyle{ m=\frac{5--7}{6-2} }[/tex] Simplify the numerator.
[tex]\displaystyle{ m=\frac{5+7}{6-2} }[/tex] Simplify the numerator and denominators.
[tex]\displaystyle{ m=\frac{12}{4} }[/tex] Divide.
[tex]\displaystyle{ m=3 }[/tex] Solved for slope of blue line.
b) Green lineThe points are (-1, 5) and (8, 2). The variables can be:
x₁ = -1
y₁ = 5
x₂ = 8
y₂ = 2
Substitute into the slope formula and solve for slope.
[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]
[tex]\displaystyle{ m=\frac{2-5}{8--1} }[/tex] Simplify the denominator.
[tex]\displaystyle{ m=\frac{2-5}{8+1} }[/tex] Simplify the numerator and denominators.
[tex]\displaystyle{ m=\frac{-3}{9} }[/tex] Simplify the fraction.
[tex]\displaystyle{ m=-\frac{1}{3} }[/tex] Solved for slope of green line.
Compare the SlopesThe slopes are:
[tex]\displaystyle{-\frac{1}{3}}[/tex] [tex]3[/tex], which is the same as [tex]\displaystyle{\frac{3}{1}}[/tex]We know the slopes are not the same, so the lines are not parallel.
However, the slopes are negative reciprocals of each other. The fraction is flipped and the negatives are different.
If we multiply the slopes together, we would get –1:
[tex]\displaystyle{-\frac{1}{3}*\frac{3}{1}=-1}[/tex]
∴ The lines are perpendicular.
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Why can't you have a shoe size of 4.5 and a height of 72 inches?
Answer:
Ok, lemme say something.
4.5 shoes are for 9 inch feet.
Dont think a 6 foot person is gonna fit tbh.
Step-by-step explanation:
A shoe size is for relation to feet size. Your feet grow from your height too, along with weight. If you are 6 feet, your feet are gonna be more than at least 1 foot.
4.5 shoes are for 9 inch feet
1 foot = 12 inches.
12 > 9.
12-9=3.
The graph of f(x)=4x^3-13x+9x+2 is shown below.
How many roots of f(x) are rational numbers?
A. 0
B. 1
C. 2
D. 3
Answer: 3
Step-by-step explanation:
A rectangular playground has an area of 2646 square meters. If the width of the rectangle is 42 meters, find the length.
The length of the rectangle is 63 meters.
Did I get it right, or no? If not do not give me the answer please!
Answer:
2646/ 42= 63
Step-by-step explanation:
Yes you got it right
A sales associate at an electronics store earns 9.5% commission on her total yearly sales. Last year, the sales associate earned an income of $11,875. What is the total amount of sales that the associate made last
year?
The total amount of sales made by the associate last year is $124,000.
What is defined as the percentage?The term percent means "out of every hundred" or "per hundred."
The term is based on the Latin phrase per centum, which means "by the hundred." So, for every 100 units of something, a single percent represents one of those hundred units, or one percent.To calculate a percentage, divide the fraction of the total by the total but also multiply by 100.Now, as per the given question;
Let the total sales done by the associate in last year is 'x'.
The commission earned on the total sales is 9.5%
Thus, 9.5% of x can be written as;
= (9.5×x)/100
The total earning from the sales is $11,875.
Thus,
(9.5×x)/100 = 11,875
Simplify the equation to find x.
x = (11,875×100)/9.5
x = 125,000
Therefore, the total sales done by the commissioner in last year was $125,000.
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5. Mr. Franklin needs to purchase 60 AA batteries. A nearby store sells a 20-pack of AA batteries for $12.49 and a 12-pack of the same batteries for $7.20. Would it be less expensive for Mr. Franklin to purchase the batteries in 20-packs or 12-packs? What is the difference between the costs of one battery from each pack?
Answer: See explanation
Step-by-step explanation:
A nearby store sells a 20-pack of AA batteries for $12.49. Therefore, the cost of 1 pack will be:
= $12.49 / 20
= $0.6245
The store also sells a 12-pack of the same batteries for $7.20. The cost per pack will be:
= $7.20 / 12
= $0.6
Therefore, it will be less expensive for Mr. Franklin to purchase the batteries in 12 packs.
The difference between the costs of one battery from each pack will be:
= $0.6245 - $0.60
= $0.0245
Answer:
$0.0245
Step-by-step explanation:
Find the equation of the line. Use exact numbers.
Answer:
y=1/2x-3
is the slope intercept form
Step-by-step explanation:
Hope this helps :) Have a great day!!!
HELPP
geometry 60° 48°
Answer: 110
Step-by-step explanation: