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]
Find the Greatest common factor
42,60
Answer:
6
Step-by-step explanation:
Greatest common factor (GCF) of 42 and 60 is 6.
As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors.
List out all of the prime factors for each number:
Prime Factors for 42: 2, 3, and 7
Prime Factors for 60: 2, 2, 3, and 5
Now that we have the list of prime factors, we need to find any which are common for each number.
Looking at the occurences of common prime factors in 42 and 60 we can see that the commonly occuring prime factors are 2 and 3.
To calculate the prime factor, we multiply these numbers together:
GCF = 2 x 3 = 6
(hope this helps can i plz have brainlist :D hehe)
what is the slope of this graph thank you
Answer:
-1/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1/3
1. Millie has some jelly beans (x) in a bag. She takes out 12 licorice- flavored jelly beans. Suppose 34 jelly beans remain in the bag. Which statements are correct for this situation? 20 points
Answer:
Chile it was c and d
Step-by-step explanation:
Determine if a triangle can have the given side lengths. If yes, which type of triangle is formed by the side lengths. Choose the correct answer for both rows of the table. HELP GODDD PLZ PLZ PLZ HELP
Answer:
B and H.
Step-by-step explanation:
By the triangle inequality, any two sides of a triangle must be greater than the remaining side.
Triangle 1)
The side lengths are 9, 40, and 41.
We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.
Remember that if:
[tex]c^2=a^2+b^2[/tex]
We have a right triangle.
[tex]c^2>a^2+b^2[/tex]
We have an obtuse triangle.
And if:
[tex]c^2<a^2+b^2[/tex]
We have an acute triangle.
In all of these, c is the longest side.
Therefore, we will substitute 41 for c and 9 and 40 for the others:
[tex]41^2\text{ }?\text{ }40^2+9^2[/tex]
Evaluate:
[tex]1681=1681[/tex]
Since the two values are equivalent, the first triangle is a right triangle.
Triangle 2)
Again, adding up the two smaller sides gives that 8 + 10 = 18.
However, 18 is less than 21, so it does not satisfy the triangle inequality.
Therefore, the given side lengths cannot form a triangle.
What is the correct distance between A(-8,-4) and point B(3,-4)?
Answer: 5.099
Step-by-step explanation:
Hope this helps
What is the equation?
Answer:
y - 4 = (1/3)(x - 9) or x - 3y = -3
Step-by-step explanation:
Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:
y - 4 = (1/3)(x - 9) (point-slope formula)
3y - 12 = x - 9 (standard form of the same equation) = >
-12 + 9 = x - 3y, or x - 3y = -3 (standard form)
A wooden roller coaster contains a run in the shape of a sinusoidal curve, with a series of hills. The crest of each hill is 108 feet above the ground. If it takes a car 1.9 seconds to go from the top of a hill to the bottom (4 feet off the ground), find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.
Answer:
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Step-by-step explanation:
We are given that
Height of crest, h=108 feet
Time for one cycle, T=1.9 s
We have to find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.
We are given
[tex]y=Asin(\omega t-\phi)+B[/tex]
Amplitude,[tex]A=\frac{108-4}{2}=52 feet[/tex]
[tex]B=A+4=52+4=56 feet[/tex]
[tex]\omega=\frac{2\pi}{T}[/tex]
Using the formula
[tex]\omega=\frac{2\pi}{1.9}=3.3/s[/tex]
We assume,
Horizontal shift [tex]\phi=-\frac{\pi}{2}[/tex]
Substitute the values
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Hence, the sinusoidal function that models the motion of the coaster train during this run starting at the top of a hill is given by
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
The volume of a cube is 216 ft^3. What is the length of a side?
Answer:
54
Step-by-step explanation:
cause a cub has 4 sides so each side is 54
Answer:
The length of a side is 6.
Step-by-step explanation:
Since, the volume of a cube is equal to l*w*h.
V=l*w*h
Volume is equal to side cubed.
V=s^3
Cube 216 to get 6.
216=s^3
3^√216=s
Answer: 6
I’ll give brainliest please help
answer is 11 boy now enjoyyyyyyyyy
Write an equivalent expression for x + x + x
Answer:
x+2x is an equalent expression
Answer:
An equavalent expression is 3x+0
Justin says that the value of the expression is 450. How did he get that answer?
8+13+4×1/3(27÷1/2).
A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school week. A skeptic suspects that they study less than that on the average. A class survey finds that the average study time claimed by 272 students is xbar= 141 minutes, with a sample standard deviation of 66.
Regard these students as a random sample of all first-year students and suppose we know that the study times follow a Normal distribution.
What is the standard error of the sample mean?
Consider the hypotheses H0: µ = 150 against Ha: µ < 150.
What is the value of the test statistic? Give your answer to two decimal places.
The p-value for the correct test statistic is 0.0126. What do you conclude at the a = 0.05 level?
We do not have enough evidence to say that students are not studying 2.5 hours per night during the school week.
We have strong evidence that, on average, students study less than 2.5 hours per night during the school week.
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
Jason wants to earn money by raking leaves. He buys a rake that costs $20.00. He plans to charge $6.00 for each
lawn that he rakes. (A-CED.2)
A. Write an equation to represent P, the amount of Jason's profit, if the number of lawns he rakes is r.
B. Use your equation to calculate the amount of profit Jason will make if he rakes 15 lawns.
Helppppppppp meeeeeeee!
Answer:
The equation would be 6r-20... If he raked 15 lawns, his profit would be $70
Step-by-step explanation:
For B. plugin 15 where r is... then multiply that by 6... which will get us 90. Then subtract the $20 rake fee and we get a profit of 70 dollars. Hope this helps!
mega has 3 weter botels and wants to give each of her friends 4 how many will she need
Answer:
12
Step-by-step explanation:
3 times 4 is 12
2x2-4? that is my question
13 inches eaquals iwhat n fraction
Answer:
13" = 13/1" = 13"
Step-by-step explanation:
Use the Distributive Property to express 18 +24
3(6+9)
6 (3+4)
6(2 + 5)
9(2+3)
Find the missing angle!
∠PRQ = ∠STR
∠STR + 60° + 58° = 180°
∠STR = 62°
∠PRQ = 62°
12 divided by 8587 step by step.
Answer:
0.00139746127868
Step-by-step explanation:
just use a coculator
Sheldon also picks tomatoes from his garden he picked 5 3/10 kg but 1.5kg were rotten and had to be thrown away how many were not rotten
Answer:
Step-by-step explanation:
Equation A: y = 6x - 1
Equation B: y = 8x - 3
What is the solution (
,
) to the given set of equations?
Answer:
comparing both the equation,
3X-3=6x-1
or, -2 =3X
or, X= -2/3
Y=6X-1
or, Y= 6× -2/3 -1
or, Y= -4-1
or, Y= -5
hence the required solution is (-2/3, -5)
The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of raisins were needed?
Answer:
1.33 or about 2
Step-by-step explanation:
Answer:
12 cups of raisins
Step-by-step explanation:
If our ratio is 3 to 1 or for every one cup of oatmeal we have 3 cups of raisins, we want our new ratio to be equal to that ratio!
Our new ratio is ? to 4, we know that for every one cup of oatmeal we have 3 cups of raisins then...
We have to multiple 3×4 to find our ?
3×4 = 12
So, we know that for every 4 cups of oatmeal we will have 3 cups of raisins!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
write 1,593 in standard form
Answer:
one thousand five hundred and niethree .
Step-by-step explanation:
You just use words instead of numbers.
Simplify and write the trigonometric expression in terms of sine and cosine: sec t − cos t sec t = ( f ( t ) ) 2 sect-costsect=(f(t))2
Answer:
[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]
Step-by-step explanation:
Given
[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]
Required
Simplify
[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]
Split fraction
[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]
[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]
[tex]sec\ t = \frac{1}{cos\ t}[/tex]
So, we have:
[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]
[tex]f(t) = 1 - cos\ t * cos\ t[/tex]
[tex]f(t) = 1 - cos^2\ t[/tex]
In trigonometry:
[tex]1 - cos^2\ t = sin^2\ t[/tex]
So, we have:
[tex]f(t) = sin^2\ t[/tex]
Find the value of x... Please look at the attachment below
13
Owen and Tony are helping pick apples on their aunt's farm. Owen has picked 127 apples and Tony has picked 261 apples.
Choose the equation that can be used to find how many more apples Tony picked than Owen.
OA. ? - 261 = 127
OB. 261-127 = ?
OC. 127 - 261 = ?
OD. ?-127 = 261
Reset
Submit
Answer:
The answer is B
Pls help I’ll brainlest ASAP ASAP
Answer:
3
Step-by-step explanation:
9 times 3 is 27. 27 plus 8 is 35
Answer:
d=3
Step-by-step explanation:
Erica was given $300 for her birthday and decided to put it in a savings account that earns 3.75% interest. If she makes no other deposits or withdrawals, find her account balance after 10 years
Answer:
80,000
Step-by-step explanation:
$300÷3.75%=8,000×10=80,000
help me, please...............
Answer:
337.50
Step-by-step explanation:
Need help fast! Solve for y and a if possible please
