Answer:
3/8
Step-by-step explanation:
We want the probability of getting a tail in three trials.
We will use binomial distribution, given by the formula:
[tex]\displaystyle P(x)={n\choose x}p^xq^{n-x}[/tex]
We want one success out of three trials. So, n = 3 and x = 1.
The probability for success in one trial is 1/2. So, p = 1/2.
And the probability for failure in one trial is 1/2. q = 1/2.
Therefore, the probability of getting a tail is:
[tex]\displaystyle P(1)={3\choose 1}\Big(\frac{1}{2}\Big)\Big(\frac{1}{2}\Big)^2[/tex]
Evaluate:
[tex]\displaystyle P(1)=3\Big(\frac{1}{8}\Big)=\frac{3}{8}[/tex]
The probability of getting a tail by tossing a coin thrice is 3/8.
Edit:
My apologies. If you haven't learned the binomial distribution yet, below is another method.
Using the fundamental counting principle, we have a total of 2 times 2 times 2 or 8 total outcomes.
We want only one tail. This can be the first toss, the second toss, or the third toss.
So, out of 8 total outcomes, only 3 are favorable.
Hence, the probability of getting one tail by tossing a coin thrice is 3/8.
every computer that a business owner purchases will lose most of its value after 5 years of use. the owner plans to purchase a computer for $2.100 and replace it after 4 years.
The business owner bought a computer that cost $2,400 instead of $2,100. the owner plans to replace the computer after 3 years instead of 4 years. Comparing both methods, which statement is true about the remaining value of this computer after 3 years of use ?
Answer:
Step-by-step explanation:
a) Data and Calculations:
Estimated useful life of a computer = 5 years
Cost of a computer purchased = $2,400
Annual depreciation expense = $480 ($2,400/5)
This means that the business owner chooses to spread (expense) the cost of the computer over 5 years at a rate of $480.
After 3 years, the cost already expensed = $1,440 ($480 * 3)
The Remaining value of this computer after 3 years of use will be $960 ($2,400 - $1,440).
b) Depreciation is an accounting method for spreading (or expensing) the cost of a long-term asset over its useful life.
(9x+5)-(6x-8) please help.
Answer:
3x-3 i think
Step-by-step explanation:
9x-6x = 3x 5-8 = -3
Use inverse operations to solve the equation.
r - 18.7 =-6.6
Answer:
r = 12.1
Step-by-step explanation:
r - 18.7 = -6.6
+ 18.7 + 18.7 ( add 18.7 to both sides)
r = -6.6 + 18.7
r = 12.1
brainliest? :)
what is the product? 1/2*[12,64 -78,30]
Solve 22x − 2 = 15. Round your answer to the nearest hundredth.
Answer:
0.77
Step-by-step explanation:
Original equation: 22x-2=15
Add 2 to both sides: 22x=17
Divide by 22 on both sides: x=17/22, or 0.77
Let me know if this helps!
2(x+1)^2=32
Help pls
Answer:
2x+2x2=32
2x+4=32
Step-by-step explanation:
What are two equivalent fractions to 9/15
Answer:
3/5 and 18/30
Step-by-step explanation:
Extending answer so I can send
Find the area of this parallelogram.
1
1
1
1
8.7 cm
10.1 cm
16.9 cm
Answer:
147.03 sq.cm.
Step-by-step explanation:
Equation for finding the area of a parallelogram:
b·h=area
Equation for this parallelogram(you don't need the 10.1):
16.9·8.7=147.03
(a+b)2= -------/
correct answer please
Answer:
[tex]a^{2}+2ab+b^{2}[/tex]
Step-by-step explanation: Use pascal triangle or foil method
Solve the inequality.
2>6-3r
The solution is
Answer:
r=9
Step-by-step explanation:
Order these numbers from least to greatest.
3.108, 5.57, 3.7, 3.18
Step-by-step explanation:
3.1083.183.75.57think it's right :)
can someone help help meee fasttt!
Answer:
2
Step-by-step explanation:
Plug in all of the values then solve using order of operations
y+(x^2)z
4+(-1^2)(-2)
4+1(-2)
4+(-2)
4-2=2
y
D"
B
B"
A"
F1
А
Nt
-3
1
A
D'
+-1
-2
B
C
The figure shows three parallelograms: ABCD, ABCD, and A'B'C'D'.
can someone plz solve this 20/160 = x/220
Answer:
x=55/2 in fractions and 27.5 in decimals
Step-by-step explanation:
The scatter plot shows the average weights of children at a pediatrics clinic. Write an equation for the trend line, using the points (5,40) and (0,10).
Given:
The points are (5,40) and (0,10).
To find:
The equation for the trend line using the given points.
Solution:
If a line passes through two points, then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Two points are (5,40) and (0,10). So, the equation of trend line is
[tex]y-40=\dfrac{10-40}{0-5}(x-5)[/tex]
[tex]y-40=\dfrac{-30}{-5}(x-5)[/tex]
[tex]y-40=6(x-5)[/tex]
[tex]y-40=6x-30[/tex]
Adding 40 on both sides, we get
[tex]y=6x-30+40[/tex]
[tex]y=6x+10[/tex]
Therefore, the equation of trend line is [tex]y=6x+10[/tex].
please help ppppppppppppp
Answer:
112
Step-by-step explanation:
formula = lwh/3 (length x width x height / divided by 3)
Answer:
112in
Step-by-step explanation:
Please mark brainliest.
DO NOT TAKE POINTS!!! Answer this question with what it is asked for. If you have a comment put it in the comment section.
Please explain your thinking and complete the question
Answer:
See the attached
Step-by-step explanation:
The answer is in the attached picture
the triangles below are similar.
Answer: 54
Step-by-step explanation:
Since the triangles are similar, the sides form s equalivent proportion. The hypotunse of the bigger triangle and the smaller triangles correspond with each other and the base of the smaller and larger triangle correspond so we use this proportion: hypo. of big triangle/ base of larger triangle= hypo of smaller triangle/ base of smaller triangle.
Let substitue: 52.5/x= 5/4: ( I Reduce 15/12 into 5/4).Cross multiply: 210=5x: Divide by 5 both sides. x=42. Then add the 42 and and the 12 to find the whole distance which is 54.
Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 2)²(x – 5)2
y
200
180
160
140
120
100
80
60
40
20
-10 9 8 7 6 5 4 3 2
1
2
3
5
6
7
9
10
-1
-20
-40
-60
-80
-100
- 120
-140
-160
-180
-200
Answer:
Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 2)²(x – 5)2
y
200
180
160
140
120
100
80
60
40
20
-10 9 8 7 6 5 4 3 2
1
2
3
5
6
7
Work out the value of (3^2)2 x (10^3)2
Answer:
Value In Scientific Notation Will Be: 3.6 x 10^4
Expanded Form Will Be: 36000
distribute this: 3(9x+2)
have a lovely day my fellow earthlings <3
Answer:
27x + 6Step-by-step explanation:
Distributive property of multiplication:
a(b + c) = ab + acApply to the given expression:
3(9x+2) =3(9x) + 3(2) =27x + 6Answer:
27x+6
Step-by-step explanation:
If mGHJ = 27 and mGHK = 87, what is the measure of mJHK
Answer:
114 degrees
Step-by-step explanation:
From the letters that describe the rays, these two angles are adjacent to each other, and therefore, if the measure of one is 27 degrees and that of the other one is 87 degrees, then the larger angle defined by the two rays (HJ and HK) with common vertex H would be:
m<JHK = 27 degrees+ 87 degrees = 114 degrees
The amount of money in an account, n, is increased by 4%. Which expression represents the
total value in the account?
A) 1.04
B) 0.04
+ 1.04
D) n + 0.04
ОВ
ОА
ОС
OD
Next
Answer:
howwwwwww\
Step-by-step explanation:
so u ae so smart
this is math and I need help to solve
Answer:
A. 15
Step-by-step explanation:
During a 5-year period, 24% of snowstorms in a certain city caused power outages. 57 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 5-year period.
Answer: my 8 year old step sis likes me
Step-by-step explanation: plz help
Someone please help!!!!!
Prove that the value of the expression a^2–a is divisible by 2 for any whole value of a.
Answer with explanation:
To prove: [tex]a^2-a[/tex] is divisible by 2 for any whole value of a.
Consider [tex]a^2-a=a(a-1) \ \ \ \ [\text{ Taking 'a' out as common }][/tex]
Here, a and (a-1) are two consecutive numbers such that,
either of them must be an odd number and an even number.
i.e. a(a-1)= Product of even and an odd number = Even number [Trivial statement]
⇒ a(a-1) is divisible by 2 [Every even number is divisible by 2.]
⇒ [tex]a^2-a[/tex] is divisible by 2 for any whole value of a.
Hence proved.
Please use the Quadratic Formula to find the zeros of the function below.
g(x) = 2x2 + x + 25
Answer:
Step-by-step explanation:
Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.
Given:
The graph of a function.
To find:
The range of the function.
Solution:
Range is the set of y-values or output values.
From the given graph it is clear that,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
And the value function can be any real number. So,
Range = [tex]-\infty<y<\infty[/tex]
Range = [tex](-\infty, \infty)[/tex]
Range = y is all real numbers.
Therefore, the correct option is D.
Answer:
D. y is all real numbers.
Step-by-step explanation:
Range is the set of y-values or output values.
From the given graph it is clear that,
And the value function can be any real number. So,
Range =
Range =
Range = y is all real numbers.
Therefore, the correct option is D.
Classify the function. y=2x^3 - 4x^2 - 160x