Answer:
Step-by-step explanation:
From above-given information
Consider p to be the probability that the first coin comes up as head
Consider q to be the probability that the second coin comes up as tail.
Provided all tosses seems to be independent.
Then;
Let X represent no. of tosses, where X follows a geometric distribution with parameter;
p' = p(1-q) +q(1-p)
with probability mass function (pmf)
[tex]P(X = x) = ( 1 - p')^{x - 1} p'[/tex]
Thus, the mean (expected value) and the standard deviation can be computed as:
[tex]E(X) = \dfrac{1}{p'}[/tex]
[tex]\mathbf{E(X) = \dfrac{1}{p(1-q)+q(1-p)}}[/tex]
[tex]V(X) = \dfrac{1-p'}{(p')^2}[/tex]
[tex]\mathbf{V(X) = \dfrac{1-[p(1-q)+q(1-p)]}{[p(1-q)+q(1-p)]^2}}[/tex]
(b)
Suppose X represents that the first coin is head;
and Y represent the last toss
Therefore, the required probability is:
[tex]P(X|Y) = \dfrac{p(1-q)}{p'}[/tex]
[tex]P(X|Y) = \dfrac{p(1-q)}{p(1-q)+(1-p)q}[/tex]
PLZZZZZ HELP IT IS DUE IN 5 MINUTES
$99.99, 19% discount
Answer:
$80.99
Step-by-step explanation:
Turn the percentage into a decimal.
19% -> 0.19
Multiply.
99.99 * 0.19 ≈ 19
Subtract.
99.99 - 19 = 80.99
Best of Luck!
(4+4)÷22×2
plss someone answer hurry <3
Answer:
first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72
Step-by-step explanation:
hope this help
Answer:
0.72
Step-by-step explanation:
Please help!!!!
If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Answer:
The value of f(3) is -2.
Step-by-step explanation:
This is a recursive function. So
[tex]f(1) = 2[/tex]
Now, we find f(2) in function of f(1). So
[tex]f(1+1) = f(1)^2 - 3[/tex]
[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]
Now, with f(2), we can find the value of f(3).
[tex]f(2+1) = f(2)^2 - 3[/tex]
[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]
The value of f(3) is -2.
5) Solve this system by graphing.
-2x - 4y = -8
y = x-10
PLS HELP GIVING BRAINLESS TO FIRST PERSON PLS HELP
Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?
Answer:
Step-by-step explanation:
1.40x = 180.49
x= $128.92
what is 1 + 3s > 7 sadhfashdfajdfadfa
Answer:
4??????????????
Step-by-step explanation:
&÷&$^#£#*$,$
13 POINTS AND WILL BE MARKED BRAINLIEST IF CORRECT!
Answer:
I think its 144!!!!!!!!!!!!!!!!!!
Answer:
Diagram 2 (Bottom diagram)
Step-by-step explanation:
The ratio is twice as many (2)
2:1
Grocery store scales are occasionally checked by inspection agencies for their accuracy in reporting the weights of purchased merchandise. Scales are allowed to operate as long as the percent error of their reported weights is within 0.5% of the actual weight measured. If you wanted to purchase 15.0 pounds of flour, what range of weights is the scale allowed to report in order to be compliant with local inspection agency regulations.
Answer:
The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.
Step-by-step explanation:
The weights should be within 0.5% of the actual weight measured.
15.0 pounds
0.005*15 = 0.075
Tolerance of 0.075 pounds
15 - 0.075 = 14.925 pounds
15 + 0.075 = 15.075 pounds
The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.
3. Which number is a natural number?
A-2.5
B 5-151
C-13+51
D|-81-2
Answer:
C
Step-by-step explanation:
A natural number is a number that you would use to count kids in a class for example. Like, 1,2,3,4 and so on. 2.5 is not a natural number since there cant be 2.5 of a student. 5-151 is a negative number and there cant be negative students. -13+51=38. 38 is a natural number. Now, in D it looks like there mightve been a absolute value sign but im not sure. If D has absolute value signs then D works too. Hope I could help.
Please help! Find the value of X. Round to the nearest tenth. acellus
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
Additional comment
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
Which table represent a linear function? Pic attached and I will mark Brainly
Answer:
3 one
Step-by-step explanation:
seems logical hope this helped
Is figure ABCD a translation of Figure ABCD
A. Yes it is translated 2 units left and 2 units up
B. Yes it is translated 1 unit left and 3 units up
C. Yes it is translated 3 units left and 1 unit up
D. No the two figures are oriented diferently
Which quadratic rule represents the data in the table?
y= -2x2 + 5
y= -x2 + 5
y = x2 - 5
y = x2 + 5
Answer:
x^2 - 5
Step-by-step explanation:
x = -1, y = 1 - 5 = -4.
x = 0, y = 0-5 = -5.
x = 1, y = 1 - 5 = -4.
2.945 to the nearest hundredth
Answer:
2.95
Step-by-step explanation:
2.945 would round up to 2.95 because when a number is followed by 5 it rounds up.
If the value of a quarter of a kilogram is ₹ 40, how much money will be the value of 100 grams?
Answer:
₹16
Step-by-step explanation:
1/4 kg = ₹ 40
1kg = 40×4 = ₹160
1000g = 1kg
100g = 100/1000 kg
= 0.1kg
0.1kg= 0.1×160 = ₹16
What is the equation of a line, in general form, that passes through point (1,-2) and has a siope of 1/3?
9514 1404 393
Answer:
x -3y -7 = 0
Step-by-step explanation:
The general form of the equation for a line is ...
ax +by +c = 0
where a, b, c are mutually prime and the leading coefficient is greater than zero.
__
The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...
rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope
For the given point and slope, we have ...
1(x -1) -3(y -(-2)) = 0
x -3y -7 = 0
Inverse of
f(x) = 4x+16
The price of an item yesterday was $40. Today, the price fell to $22. Find the percentage decrease.
Answer:
45%
Step-by-step explanation:
40 * .45 = 18
40-18 = 22
The percentage decrease of an item would be 45%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We can determine the value of the percentage decrease by the following formula,
percentage decrease = (initial value - reduced value) / initial value × 100%
As per the given question, we have
initial value = $40, and reduced value = $22
Substitute the values in the above formula, and we get
percentage decrease = (40 - 22) / 40 × 100%
percentage decrease = (18) / 40 × 100%
percentage decrease = 0.45 × 100%
Apply the multiplication operation, and we get
percentage decrease = 45%
Thus, the percentage decrease of an item would be 45%.
Learn more about the percentages here:
brainly.com/question/24159063
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evaluate the expression for the given value of the variable
4(x-4); x=7
Answer:
12
Step-by-step explanation:
substitute x = 7 into the equation:
[tex]4 (7-4)\\4(3)\\12[/tex]
Answer:
12
Step-by-step explanation:
First, you insert the 7 in place of the x. Then you do what is in the parenthesis, according to PEMDAS. 7-4 = 3. You end up with 4(3). You then do distributive property and you end up with 12.
What is the y-intercept of the line given by the equation y = 8x + 75?
A. (0,75)
B. (0,-8)
C. (0, -75)
D. (0,8)
Answer:
The answer is A.
Step-by-step explanation:
In a linear equation, y = mx + b where b represent y-intercept.
y-intercept is the point where it touches y-axis, so the value of x is 0.
The y-intercept of the given equation is (0, 75). Therefore, option A is the correct answer.
What is a y-intercept?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 given equation of a line is y=8x+75.
To find the y-intercept, set x = 0 and solve for y.
Here, substitute x=0 in y=8x+75, we get
y=8(0)+75
y=75
So, the y-intercept is (0, 75)
Therefore, option A is the correct answer.
To learn more about the y-intercept visit:
brainly.com/question/14180189.
#SPJ7
how do you solve y+1=2x
y =2x-1
Step-by-step explanation:
solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2
Step-by-step explanation:
√3sinA-cosA=√2
dividing both side by (√3²-1²=2 we get)
√3/2 sinA-1/2.cos A=√2/2
cos 30sinA-sin30cosA=√2/(√2×√2)
sinAcos30-cosAsin30=1/√2
sin(A-30)=sin45,sin(180-45)
therefore
A-30=45,135
A=45+30=75 or A=135+30=165
The triangles are similar. Find side length x.
Answer:
Step-by-step explanation:
How would you graph
y = 2x - 1? , ILL MARK BRAINLIST
Answer:
Starts at negative 1 Y-axis, and then go yp 2 and 1 to the right
When Trudy planted a large bush in her garden, it was 2 feet tall. Now it is 50% taller. How tall is the bush now?
Answer: 3 feet tall
Step-by-step explanation:
50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.
8. Find the value of x in the isosceles triangle.
Shaun's earnings at $12 per hour were less than $150. Write an inequality
Answer:
I think that the answer is 12x<150
Answer:
12x<150
Step-by-step explanation:
Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true
concerning these two values.
O a
The value of g(2) is larger than the value of g(-4).
Oь
Ос
The value of g(2) is smaller than the value of g(-4).
The value of g(2) is the same as the value of g(-4).
The values of g(2) and g(-4) cannot be compared.
Od
Answer:
The value of g(2) is larger than the value of g(-4)
Step-by-step explanation:
2 is a larger number than -4, so automatically, the value of g(2) would be larger.