Answer:
1/35
Step-by-step explanation:
P= 6 *13! / 15! = 1/35
The probability of two east high school swimmers to come first and second is 1/35.
How to calculate probability?
First, let us calculate the number of desired outcomes:
The first position has 3 possibilities and 2nd position has 2 possibilities and 3rd position has 13 possibilities (leaving people of 1st and 2nd position).
Total=2.3.13
Now, calculate the total outcome:
1st position has 15 possibilities, 2nd has 14 and 3rd has 13.
Total=15.14.13
Probability=desired outcome/total outcome
=2.3.13/15.14.13
=1/35
Therefore, probability of the given situation is 1/35.
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Using the distributive property, an expression equivalent to 48 + 30 is
5 (6 + 8).
(6) (8) + (3) (10).
(3) (16) + (6) (5).
6 (8 + 5).
Answer:
d. 6(8+5)
Step-by-step explanation:
First you distribute the 6 to the 8 which gets you 48 and then you distribute the 6 to the 5 to get 30
so you would get 48+30
therefore, d is true
Answer: (6) (8) + (3) (10) and (3) (16) + (6) (5) and 6 (8 + 5) all of them is the same answer as 48+30=78
Step-by-step explanation: Hope this help:D
What is the measure of angle A????
Please help !!!! Please help!!!!! I gave extra points, if you put a link I will report you !
Answer: I could be wrong- but I thinkkkk its 42
true or false: If a < b then a + c < b + c
Answer:
true
Step-by-step explanation:
A bus travels for 22 minutes from Greensburg to Pleasant Valley. Then it travels 16 minutes from Pleasant Valley to Red Mill. How many minutes does it travel?
Answer:
22 + 16 = 38
Step-by-step explanation:
I hope you have a good day
I need help with Additional practice it is find the area of each trapezoids or kite
Answer:
♡●●♡♤●■
⊙♡}°♡■♡°€€£●€●●£7●£7{●£6{●€6¥■
Step-by-step explanation:
86{\86{●
An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 6 IQ points of the true mean. Assume that σ=21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
Answer:
The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.
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 - 0.99}{2} = 0.005[/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 - 0.005 = 0.995[/tex], so Z = 2.575.
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.
Assume that σ=21 and determine the required sample size.
A sample size of n is needed.
n is found when M = 6. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]6 = 2.575\frac{21}{\sqrt{n}}[/tex]
[tex]6\sqrt{n} = 2.575*21[/tex]
Dividing both sides by 3
[tex]\sqrt{n}= 2.575*3.5[/tex]
[tex](\sqrt{n})^2 = (2.575*3.5)^2[/tex]
[tex]n = 81.2[/tex]
Rounding up:
The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.
Help giving brainliest please help
Answer:
C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.
Step-by-step explanation:
A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5
B. is not correct because the median number for July was 8 which is not greater than the median of August, 10
C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.
D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)
In ΔOPQ, o = 100 inches, q = 550 inches and ∠Q=67°. Find all possible values of ∠O, to the nearest degree.
Answer:
10
Step-by-step explanation:
Solve the following absolute value equation.
|x – 9 = 12
X = 21
- [?]
X =
Answer:
x=21 not sure if this is the answer
How many pounds is equal to 1.5 Ton(s)?
Answer:
3000 pounds :)
hope this helped<3
What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.
Answer:
4/52
Step-by-step explanation:
to find the average result of rolling a six sided dice josh rolls a dice 100 times the table shows how many times josh rolled each number what is the mean or average of the dice rolls
Answer:
500
Step-by-step explanation:
The number of times that josh rolled each number is given so the mean or average of the dice rolls is 3.6.
What is probability?Probability is a branch of mathematics that deals with the study of random events or outcomes.
It is concerned with determining the likelihood of an event or outcome occurring in a given situation.
The probability of an event is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.
The average of dice roll is:
Average = 1/100 (15 x 1 + 18 x 2 + 14 x 3 + 16 x 4 + 19 x 5 +18 x 6)
Average = 1/100 (15 + 36 + 42 + 64 + 95 + 108)
Average = 1/100 x 36
Average = 3.6
Thus, the answer is 3.6.
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Your question seems incomplete, the probable complete question is:
I need help please pleaseeeeee
Answer:
19.64 ft
Step-by-step explanation:
7/25 = 5.5/x
7x = 137.5
x = 19.64
Plz show work, NEED HELP FAST PLZ
Answer:
5. 4 6. 6
Step-by-step explanation:
Number 5
[tex]10-2\sqrt{9}[/tex]
[tex]2\sqrt{9}=6[/tex]
[tex]=10-6[/tex]
Subtract the numbers: 10 - 6 = 4
[tex]=4[/tex]
Number 6
[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]
[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]
[tex]=70-64[/tex]
Subtract the numbers: 70 - 64 = 6
[tex]=6[/tex]
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size
Answer:
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
A randomly selected group of 40 members
This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]
What is the probability of having a sample mean of 115.8 or less for a random sample of this size?
This is the pvalue of Z when X = 115.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x > or = 93)?
The value of P(X ≥ 93) when X pertains a normal distribution with mean of 79 and standard deviation of 7 is 0.0228
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For this case, we're specified that:
X pertains a normal distribution with mean of 79 and standard deviation of 7, symbolically, we have:
[tex]X \sim N(\mu = 79, \sigma = 7)[/tex]
The needed probability is P(X ≥ 93)
Converting X to standard normal variate makes us evaluate this probabiilty as:
[tex]Z = \dfrac{X -\mu}{\sigma} \sim N(0,1)\\\\P(X \geq 93) = 1 - P(X < 93)\\\\P(X \geq 93) = 1 - P\left (Z < \dfrac{93-79}{7}\right)\\\\P(X \geq 93) = 1 - P(Z < 2)[/tex]
The p-value for Z = 2 (from the z-tables) is found to be 0.9772
Thus, we get:
[tex]P(X \geq 93) =1 - P(Z < 2) = 1 - P(Z \leq 2) = 1 - 0.9772\\P(X \geq 93) = 0.0228[/tex]
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7x+2x+4 what is the answer
Answer:
9x+4
Step-by-step explanation:
What is the width of the juice box?
Answer:
3.99928901529
Step-by-step explanation:
multiply 12.5 by 4.5 and you get 56.25 and you divide 225 by 56.25 and you get 3.99928901529
find the volume of the rectangular prism. geometry hw plz help
Answer:
189 cm^3
Step-by-step explanation:
7 times 9 times 3=189
Evaluate the expression using order of operations. (24+2) ÷ 2
Answer:
The answer is 13
Step-by-step explanation:
24+2=26
26÷2=13
If we have 9 candy bars and each student gets 1/3 candy barwith 10 students, how much of a sandwich does each student get? Explain using examples or drawings. PUT AN AWNSER THAT MAKES SENSE IF YOU DONT TYPE IN A AWNSER THAT MAKES SENSE DONT LOOK FOR ANY BRAINLYIEST OR POINTS!!!! AWNSER IT SERIOUSLY!!!!!!!
Answer:
.......................................... k
Step-by-step explanation:
3 divided by square root of 200=
Answer: 4.7140452079
Step-by-step explanation: (√200) ÷ (3)
Answer:
3√2/20
decimal form- 0.21213203435
My cousin made 50 muffins and brought 3/5 of them to work how many did she leave at home?
Answer:
20
Step-by-step explanation:
To find how many she took to work you do (3/5) * 50 which is equal to 30
That means she took 30 to work leaving 20 muffins left at home.
A. 7
B. 8
C.9
D. 6
FOR BRAINLIST!!
Answer:
It is going to be C.9 hope this help hopefully not late. :D
Step-by-step explanation:
Its like a train so (2x3)+8x(7x-2)= your answer but you can solve it in a calculator :D
Answer:
D. 7
Step-by-step explanation:
According to this problem, the sum of the angles is 90°. This means we're adding.
2x + 3x + 8 + 7x - 2 = 90.
To make this easier to solve, we can combine like terms.
2x + 3x + 7x = 12x.
The remaining numbers are 8 and -2.
8 + -2 = 6
Our final expression is:
12x + 6 = 90
First, subtract 90 from 6 and get 84.
Lastly, divide the difference (84) by 12.
12x = 84
84 / 12 = 7.
Therefore, the value of x is 7.
Given h(x)
-2x + 5, solve for x when h(x) = 3.
Answer:
x = 1
Step-by-step explanation:
h(x) = -2x + 5 and h(x) = 3
which means -2x + 5 = 3
solve for x
-2x + 5 = 3
-5 -5
-2x = -2
-2 -2
x = 1
Does someone have the answers
Answer:
number 3 the answer
Step-by-step explanation:
Will give brainliest!! PLEASE HELP NEED THIS NOW DUE TODAYYY!!!
My math students challenged me, their math teacher, to play a dice game with them. They will give me 10 cents for each odd sum I roll with two dice, but I have to give them 10 cents for each even sum they roll with the two dice. I do not think this game is fair. I think I am going to get cheated! I noticed that I cannot roll one of my odd numbers: 1!
Should I play this game with the students? Use your mathematical thinking to convince me whether or not this is a fair game.
Answer: this game is honestly good for the kids u teaching them how to count by roulling the dice
Step-by-step explanation:
What’s the slope?!??????
Answer:
y=mx+b
Step-by-step explanation:
PLEASE HELP ME ASAPPP!!!!!!
Answer:
2 1/4 inches
Step-by-step explanation:
1/4 per 1 foot so if there are 9 feet it would be 9/4 then converte that to a proper fraction which is 2 1/4
Read the passage from the Houston Chronicle about air quality in Houston in 2019. “I’m surprised and disturbed that Houston’s air quality worsened in this year’s [American Lung Association ‘State of the Air’] report,” said Luke Metzger, director of Environment Texas. “The trend since 1999 had been one of steady progress and instead now it seems we are backtracking and that’s bad news particularly for the hundreds of thousands of people who have asthma or other vulnerable populations like senior citizens. . . .” Current models estimate that more than 60 percent of ozone pollution is from cars, according to Raun, and to address that, the city is trying to encourage practices such as the use of mass transit and transitioning to fuel-efficient or low-emission vehicles. Which statement best describes air quality in Houston since 1999? Air pollution has been steadily increasing in Houston since 1999. Air pollution has been steadily decreasing in Houston since 1999. Air pollution has varied depending on climate conditions since 1999. Air pollution has steadily decreased since 1999, before suddenly increasin
Answer:
D.) Air pollution has steadily decreased since 1999, before suddenly increasing.
Step-by-step explanation:
right on edge
Air pollution has steadily decreased since 1999, before suddenly increasing. Therefore, option D is the correct answer.
What is low-emission?A car with low emissions produces very little pollution. A low-emission zone is an area where polluting cars are either not allowed or must pay to enter. They've developed a new kind of low-emission buses.
Vehicles that are either designated as Zero emission Vehicles or as Low Emission Vehicles are considered low-emitting and fuel efficient.
Air pollution has steadily decreased since 1999, before suddenly increasing is the statement best describes air quality in Houston since 1999. As the use of mass transit and transitioning to fuel-efficient or low-emission vehicles.
Therefore, option D is the correct answer.
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