Answer:
a. 0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. 231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Step-by-step explanation:
For each challenge, there are only two possible outcomes. Either it was overturned, or it was not. The probability of a challenge being overturned is independent of any other challenge. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Significantly high:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
If a value is more than 2.5 standard deviations above the mean, this value is considered significantly high.
25% of the challenges are successfully upheld with the call overturned.
This means that [tex]p = 0.25[/tex]
879 challenges
This meas that [tex]n = 879[/tex]
a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231.
This is P(X = 231). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 231) = C_{879,231}.(0.25)^{231}.(0.75)^{648} = 0.0209[/tex]
0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
The mean is:
[tex]E(X) = np = 879*0.25 = 219.75[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{879*0.25*0.75} = 12.84[/tex]
[tex]219.75 + 2.5*12.84 = 251.85 > 231[/tex]
231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Determine whether the
following are define function
y=4x+1
[(-1,2), (0, 3) (1,4),(2,6)]
Answer:
sorry but i need the points
Step-by-step explanation:
what is 1/2 + 1/3 i know it’s so simple i’m just so bad at maths
The second group of 20 squirrels of a different breed is placed on a different ranch. The population of squirrels triples each year. Write an equation to model this new situation.
Answer: send group
Step-by-step explanation:
simplify the expression by using the distributive property 2(3x-5)
Step-by-step explanation:
multiply the outer term to the inner term
so, 6x-10.
Hello.
Let's use the Distributive Property to simplify the given expression.
Remember, the Distributive property states that
a(b+c)=ab+ac
Now, let's simplify our expression:
2(3x-5)
6x-10
This is the simplified answer; we can't simplify it anymore.
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
Will mark brainlest Thanks
Answer:
the answer is d
Step-by-step explanation:
use the expression (8x + 2) + (-9x + 7)
a. find the sum
b. explain how you know when to combine terms with variables
simplify by distributive property 9-5b+5m
Answer and Step-by-step explanation:
This is as far as the expression can be simplified.
The undistributed version of the expression is:
9 -5(b - m)
#teamtrees #PAW (Plant And Water)
what 2-1+46-2x0
I tried O but it didn't work
Answer:
answer is 47
Step-by-step explanation:
use the rule, 2x0 = 0 then (2- 1) that's 1 and then (46-0) that's 46 so 1 + 46 is 47
Tyler has to savings accounts that his grandparents opened for him . One of the accounts Pay 8% annual interest Where as the other pay 10% annual interest. If you have $700 more invested at 10% then you invested at 8%, how much do you have invested in each account If the total amount of interest You earn in a year is $106?
Tyler invested $___at 8%, and $___at 10%
Manuel and Kristina are reviewing like terms in the problem 3x + 3 - 4x. Manuel said that 3x and 3 are like terms because they both have threes. Kristina said 3x and -4x are like terms because they both have the same variable. Who is correct? Explain.
Answer:
Kristina
Step-by-step explanation:
Kristina is correct because 3x and -4x both have the variable 'x' in common making them like terms.
Is (4,3) a solution to the following system?
X-y=4
2x+y=5
(1 Point)
Yes
Οr
No
(Worth 10 points)
Answer:
No, it is not a solution
Step-by-step explanation:
Given
[tex]x - y = 4[/tex]
[tex]2x + y = 5[/tex]
Required
Is (4,3) a solution?
(4,3) implies that: [tex]x = 4\ y =3[/tex]
So:
[tex]x - y = 4[/tex]
[tex]4 - 3 = 4[/tex]
[tex]1 \ne 4[/tex]
Because 1 and 4 are not equal, then (4,3) is not a solution
help would be v appreciated thx :)
Answer:
Step-by-step explanation:
find the area of this polygon - PLZZZZZ HELP I WILL GIVE 30 points T^T
Answer:
82 m should be correct i hope
Step-by-step explanation:
Each model below is divided into sections of equal size Which model does Not have 75% of the total area shaded
Answer:
G
f is 6/8=3/4 = 75%
h is 9/12=3/4 = 75%
I is 3/4 = 75%
so the answer is G
Please answer now! Please!
Is this proportional? What is the COP? What is the equation?
Answer:
Step-by-step explanation:
The constant of proportionality is y/x=k. In this case it is 30/5=48/8...6 k=6
The equation is
y=6x where y=number of wheels and x=number of buses
What is the average (arithmetic mean) of 2, 8, 9, and 9?
a) 5
b) 7
c8
c) 8
d) 9
Answer:
The answer is 7
Step-by-step explanation:
2+8+9+9÷4=7
An ecologist is examining whether the number of fish caught in a large river basin has changed since a fire burned some of the surrounding forested area and vegetation along the river. Data in the form of fishing reports was available for a five-year period before the fire. From a random sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6. In a random sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.
Required:
What represents the standard error of the difference in the mean number of fish caught before and after the fire?
Answer:
The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.
Step-by-step explanation:
Subtraction of normal variables:
When we subtract two normal variables, the standard deviation is the square root of the sum of variances of each variable.
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.
Sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6.
The standard error for this sample is:
[tex]s_b = \frac{1.6}{\sqrt{195}} = 0.1246[/tex]
Sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.
The standard deviation for this sample is:
[tex]s_a = \frac{2.1}{\sqrt{143}} = 0.1756[/tex]
What represents the standard error of the difference in the mean number of fish caught before and after the fire?
[tex]s = \sqrt{s_a^2 + s_b^2} = \sqrt{0.1756^2 + 0.1246^2} = 0.2153[/tex]
The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.
Answer:
sqrt [ (1.6^2)/195 + (2.1^2)/143 ]
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=72°, and VT = 6.6 feet. Find the length of TU to the nearest tenth of a foot.
Answer:
21.4
Step-by-step explanation:
Answer:
21.4
Step-by-step explanation:
delta math told me! :)
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
1 of 8
© An object has a mass of 240 kg and a volume of 8 m3.
Find the density of the object in kg/m²
o
kg/m3
Answer: 30 kg/m³
Step-by-step explanation: density = mass / volume
Density is 240 kg / 8 m³
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
find the slope of this graph, I'll give you brainliest
if you dont know please dont answer
(no links please)
thanks in advance
Answer:
(-8,1) I think, I've been working on things like this In my classes so I think I'm right. But if I'm not don't get mad please!!
an ice cream company made 38 batches of ice cream in 7.6 hours. assuming A CONSTANT RATE OF PRODUCTION, AT WHAT RATE IN HOURS PER BATCHWAS THE ICE CREAM MADE. (hours per batch)
Answer:
5 batches per hour
Step-by-step explanation:
Helppp please I'm stuck
What is the mean of these numbers?4,5,5,2,3,3,2,8
Answer:
4
Step-by-step explanation:
Mean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set. The mean value of the given data set is 4.
Given informationThe given numbers of the data set are,
4,5,5,2,3,3,2,8
Total numbers are 8.
MeanMean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set.
Mean is the ratio of the sum of all the terms of the set to the the number of terms in the set.
The mean can be calculated with the following formula,
[tex]\overline x=\dfrac{\sum x}{N} [/tex]
Here N is the total number of the values in the set.
Put the values in the above formula,
[tex]\overline x=\dfrac{4+5+5+2+3+3+2+8}{8} \\ \overline x=\dfrac{32}{8}\\ \overline x=4[/tex]
Hence the mean value of the given data set is 4.
Learn more about the mean here;
https://brainly.com/question/12513463
Given that f(x) = x2 – 5x + 6 and g(x) = x – 3, find f(x) + g(x) and express
the result in standard form.
Answer:
G(X)+f(X) = x2-6x+3
Step-by-step explanation:
Broccoli cost 1.50 at a store. How much does 32 ounces of broccoli cost?
Answer:
48.00
Step-by-step explanation:
Answer:
48.0 hope it helps you out
If the volume of a hemisphere is 92160 pie cubic cm then find
its radius.
Answer:
radius = 51.70 cm
Step-by-step explanation:
Volume = (2/3) π r³
Volume = 92160 π
Radius = ?
Using the above formula
V = (2/3) π r³
r³ = v/((2/3) π)
r³ = ((92160 π) x 3) / (2 x π)
r³ = 276480/2 because (π/π) = 1
r³ = 138240
Taking cube root on both sides
r = 51.70 cm
pls hurry if you can. A What is the volume of this cube?
Question 5 options:
26.46 cm3
9.261 cm3
6.3 cm3
Answer:
9.261 cm³
Step-by-step explanation:
2.1x2.1x2.1=9.261
Answer:
9.2
Step-by-step explanation:
the answer is 9.2 yo multiplu 2.1x2.1x2.1
8 x 4 using distributive property with addition
Answer:
The answer is 32
That's easy
