Answer:
0.41665 = 41.665% probability that on the third trial you will toss a coin
Step-by-step explanation:
First trial: Toss the coin
The following outcomes end up with a coin being tossed on the third trial.
Tails on the first and second trial(each with 0.5 probability).
Heads on the first trial(0.5 probability) and 4 or 5 on the die on the second trial(6 sided die, so 2/6 = 1/3 = 0.3333 probability).
What is the probability that on the third trial you will toss a coin
[tex]p = 0.5^2 + 0.5*0.3333 = 0.41665[/tex]
0.41665 = 41.665% probability that on the third trial you will toss a coin
Answer and explain please ILL MARK BRAINLIEST
Answer:
the first one is steeper because it took off before the other plane and it is still below the other plane, which means that the hills deeper and it's going to take it longer to take off and get in the air.
Step-by-step explanation: I hope this is what you were looking for let me know if not and I will delete my answer ;)
Consider randomly selecting a student who is among the 12,000 registered for the current semester in a college. Let X be the number of courses the selected student is taking, and suppose that X has the following probability distribution: x 1 2 3 4 5 6 7 f(x) 0.01 0.02 0.12 0.25 0.42 0.16 0.02 a. Find the cdf of X. b. Find the expected number of courses a student is taking this semester. c. Find the variance of X. d. Find the third quartile of this distribution.
Answer:
a)
[tex]P(X \leq 1) = 0.01[/tex]
[tex]P(X \leq 2) = 0.03[/tex]
[tex]P(X \leq 3) = 0.15[/tex]
[tex]P(X \leq 4) = 0.40[/tex]
[tex]P(X \leq 5) = 0.82[/tex]
[tex]P(X \leq 6) = 0.98[/tex]
[tex]P(X \leq 7) = 1[/tex]
b)
4.61
c) 1.1579
d) 5 is the third quartile of this distribution.
Step-by-step explanation:
We are given the following discrete distribution:
[tex]P(X = 1) = 0.01[/tex]
[tex]P(X = 2) = 0.02[/tex]
[tex]P(X = 3) = 0.12[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.42[/tex]
[tex]P(X = 6) = 0.16[/tex]
[tex]P(X = 7) = 0.02[/tex]
a. Find the cdf of X.
Probability of X being less of equal to x. Than
[tex]P(X \leq 1) = P(X = 1) = 0.01[/tex]
[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.01 + 0.02 = 0.03[/tex]
[tex]P(X \leq 3) = P(X \leq 2) + P(X = 3) = 0.03 + 0.12 = 0.15[/tex]
[tex]P(X \leq 4) = P(X \leq 3) + P(X = 4) = 0.15 + 0.25 = 0.40[/tex]
[tex]P(X \leq 5) = P(X \leq 4) + P(X = 5) = 0.4 + 0.42 = 0.82[/tex]
[tex]P(X \leq 6) = P(X \leq 5) + P(X = 6) = 0.82 + 0.16 = 0.98[/tex]
[tex]P(X \leq 7) = P(X \leq 6) + P(X = 7) = 0.98 + 0.02 = 1[/tex]
b. Find the expected number of courses a student is taking this semester.
Multiplication of every outcome by its probability.
[tex]E = 0.01*1 + 0.02*2 + 0.12*3 + 0.25*4 + 0.42*5 + 0.16*6 + 0.02*7 = 4.61[/tex]
c. Find the variance of X.
Multiplication of the squared subtraction of each value and the mean, multiplied by its probability. So
[tex]V = 0.01*(1-4.61)^2 + 0.02*(2-4.61)^2 + 0.12*(3-4.61)^2 + 0.25*(4-4.61)^2 + 0.42*(5-4.61)^2 + 0.16*(6-4.61)^2 + 0.02*(7-4.61)^2 = 1.1579[/tex]
d. Find the third quartile of this distribution.
100*(3/4) = 75th percentile
The cdf passes 0.75 when X = 5, so 5 is the third quartile of this distribution.
The graph of f(x)shown below resembles The graph of g(x)x^4,But it has been vertically compressed. Which of the following could be the equation of f(x)? 
A f(x)=-2x^4
B f(x)2x^4
C F(x)=-1/2x^4
D f(x)=1/2x^4
( NEED HELP ASAP PLZ)
Which statement about the reflection below is true?
Answer:
Can you show us the statements?
Step-by-step explanation:
Help quick please im down bad
hope you get an answer, sorry im no help
"bananas cost 89 cents each at the fruit stand.. Isabel has $11.75. how many bananas can she buy?" i forgot how to do this stuff pls help
Answer:
She can buy 13 bananas
Step-by-step explanation:
She has 11.75 and each banana costs .89
Start by dividing 11.75/.89 = 13.20
She will be able to buy 13 bananas total since she cannot buy a portion of a banana (0.2) so she will just have some leftover change.
The area for the trapezoid is in2.
Answer:
1204
Step-by-step explanation:
The dimensions of a rectangular crate are 6 feet, 8 feet, and 10 feet. What is the
volume?
Answer:
480
Step-by-step explanation:
The formula is L*W*H
6*8*10=480
Please help1
An observer is watching a bird from the ground as shown. What is the bird's distance from the ground, in miles, as shown in the diagram? Round to the nearest tenth.
Answer:
? = 1.5 miles
Step-by-step explanation:
?^2 + 1.2^2 = 1.9^2
? = 1.473
The distance of bird from the ground is 1.47 miles.
What is a right angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
In the given diagram,
The distance between observer and bird = 1.9 miles,
And the distance from observer to the ground = 1.2 miles.
Let the distance of bird from ground is h miles.
To find the distance of bird from ground,
Use Pythagoreans theorem,
(1.9)² = (1.2)² + h²
3.61 = 1.44 + h²
3.61 - 1.44 = h²
2.17 = h²
h = 1.473 miles
The distance of bird from the ground is 1.47 miles.
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Need help fast with this
Answer:
c
Step-by-step explanation:
Solve using synthetic division: (x^2+4)/(x+4)
Answer:
x-4+(20)/(x+4)
4n + 8 = 20
Which value of n from the solution set 3, 8, 10, 12) will make the equation true?
B
8
© 10
Answer:
The answer is 3
Step-by-step explanation:
4 x 3 = 12
8 + 12 = 20
Miss logan leaves school at 15:55 it takes her 1 hour and 20 mins to get home what time does she arrive home? answer using 24 hour time
Answer:
5:15
Step-by-step explanation:
15:55 = 3:55 in normal time
3:55 + 1 hr = 4:55
4:55 + 20 min = 5:15
State if the pair of triangles are similar. If so, state how you know they are similar and
complete the similarity statement
Nielson Media Research wants to estimate the mean amount of time (in minutes) that full-time college students spend watching television each weekday. Find the sample size necessary to estimate that mean with a 15-minute sampling error. Assume 96% confidence level is desired. Also assume that a pilot study showed that the standard deviation is estimated to be 112.2 minutes.
Answer:
The sample size necessary is 237.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Find the sample size necessary to estimate that mean with a 15-minute sampling error.
A sample size of n is necessary.
n is found when [tex]M = 15[/tex]
We have that [tex]\sigma = 112.2[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]15 = 2.056\frac{112.2}{\sqrt{n}}[/tex]
[tex]15\sqrt{n} = 2.056*112.2[/tex]
[tex]\sqrt{n} = \frac{2.056*112.2}{15}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.056*112.2}{15})^2[/tex]
[tex]n = 236.5[/tex]
Rounding up,
The sample size necessary is 237.
Need the answer been stuck on this
Answer:
19 cm³
Step-by-step explanation:
The figure cam be decomposed into two cuboid.
✔️Dimension of cuboid 1:
L = 2 cm
W = 1 cm
H = 8 - 3 = 5 cm
Volume = L * W * H
Volume = 2*1*5 = 10 cm³
✔️Dimension of cuboid 2:
L = 3 cm
W = 1 cm
H = 3 cm
Volume = L*W*H = 3*1*3
Volume = 9 cm³
✅Volume of the irregular figure = 10 + 9 = 19 cm³
Simplify the radical expression 4√13-6√13+10√13
Answer:
4√13-6√13+10√13= 24
Step-by-step explanation:
Answer:
8√13
Step-by-step explanation:
There are three numbers for the combination to the store's safe. The first number is 17. The two numbers can be multiplied together to give a product of 28. What are all of the possibilities for the other two numbers? IT IS MULTIPLICATION BTW
Answer:
1 28
2 14
4 7
Step-by-step explanation:
7 4
14 7
28 1
...........
two classrooms held 62 desks. at this rate, how many desks would be needed for 15 classrooms?
HELPPPP PLEASE ASAP
Answer:
465
Step-by-step explanation:
If a classroom averages 31 desks (62/2=31) for 1 classroom, 31 multiplied by 15 is 465
An old cell phone battery would last for 16 hours. The new battery lasts 25% longer. How long will the new battery last?
Answer:
20 hours
Step-by-step explanation:
To find the answer, you first should find out how long is 25% of the original battery life, 16 hours. To find this, you can divide 16 by 4, or multiply 16 by 0.25. Either works.
16/4=4.
So the new battery lasts 4 hours more than the old battery. Then, add this to the original length to find how long the new battery will last in total.
16+4=20
If you owned a house, and the assessed value was $435,000.00, how much in property taxes would you have to pay per year if the rate was 0.79%? (be sure to use $ and a decimal. No need to use a comma)
a bit of help
The Amount of property taxes you would have to pay per year if the rate was 0.79% is $3,436.50.
If you owned a house and the assessed value was $435,000.00, the amount of property taxes you would have to pay per year
if the rate was 0.79% can be calculated as follows:SolutionTo calculate the amount of property taxes, multiply the assessed value by the tax rate.
We can represent this mathematically as:P = R × Vwhere:P = Property taxesR = Tax rateV = Assessed Value
We are given that:R = 0.79%V = $435,000.00
We need to convert the tax rate to a decimal value before we can use it in our calculation. This can be done by dividing the percentage value by 100. Therefore:R = 0.79 ÷ 100= 0.0079
Using the formula above, we can now calculate the property taxes as:P = R × V= 0.0079 × $435,000.00= $3,436.50
Therefore, the amount of property taxes you would have to pay per year if the rate was 0.79% is $3,436.50.
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HOW TO CONSENTRATE ON STUDY?
Answer:
Listen to music or watch a video about what your about to study. Or do what I do... eat while studying
Step-by-step explanation:
Dan buys a car for £3200.
It depreciates at a rate of 5.1% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
£2509
Step-by-step explanation:
3200x0.941*4 =2509
A school bus carries 20 students. There are
currently 215 students in the 7th grade. How many
school buses are needed to take the 7th grade on a
field trip?
Answer:
11 buses
Step-by-step explanation:
215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.
What is the multiplicative inverse of y?
9514 1404 393
Answer:
1/y
Step-by-step explanation:
The multiplicative inverse of an expression is its reciprocal. It is the value that, when multiplied by the original, give a product of 1 (the multiplicative identity element).
Here, that is ...
1/y
because (y)(1/y) = y/y = 1.
_____
Additional comment
Zero (0) does not have a multiplicative inverse.
Really need help thank you!
Answer:
x=28
Step-by-step explanation:
when the angles are supplementary add them together and set them to 180 after doing so you'll have
4x+2x+12=180
now you combine like terms and then solve for x
WILL MARK BRAINLELIST HELPPPP ME
Answer:
17
Step-by-step explanation:
180 - 5 - 5 = 170 : 2 = 85 : 5 = 17
Round 117.22666 to the nearest tenths
Answer:
117.2
Step-by-step explanation:
I hope this helps a little bit.
5th grade math/// In the first week of a food drive, the 5th grade collected 2 3/4 bags of canned goods. The goal is to collect 2 1/2 times as many bags in the second week. How many bags is the 5th grade hoping to collect in the second week?
The number of bags that would be collected in the second week is 6 7/8 bags.
How many bags would be collected in the second week?A mixed number is a number that is made up of an integer and a proper fraction. A proper fraction is a fraction that has a numerator that is less than the denominator. An example of a mixed number is 2 3/4.
In order to determine the number of bags that would be collected in the second week, multiply 2 3/4 by 2 1/2. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
Number of bags collected in the second week = 2 3/4 x 2 1/2
11/4 x 5/2 = 55/8 = 6 7/8 bags
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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!