Answer:
0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. 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.
Probability of a person being in May:
May has 31 days in a year of 365. So
[tex]p = \frac{31}{365} = 0.0849[/tex]
Group of 20 friends:
This means that [tex]n = 20[/tex]
What is the probability that at the May celebration, exactly two members of the group have May birthdays?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773[/tex]
0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays
. Duke's photography pays $9 for a 5x7 photograph.
If the photograph is sold for $15, what is the
percent of markup based on cost?
Answer:
the markup percentage is 66.67%
Step-by-step explanation:
The computation of the percent of markup based on cost is shown below:
= (Selling price - paid price) ÷ (paid price)
= ($15 - $9) ÷ ($9)
= 66.67%
By taking the difference of the selling price & paid price and then divided it by paid price we can get the percentage of markup
Hence, the markup percentage is 66.67%
What is the measure of angle XYZ?
Answer:
D
Step-by-step explanation:
D
[tex]angle \: xyz = \frac{1}{2} arc \: xz[/tex]
Brainliest for correct answer asap
Answer:
D
Step-by-step explanation:
11 points pls help moby max
Answer:
Sum of given fraction = 13 / 15
Step-by-step explanation:
Given fraction:
2/3 + 1/5
Find:
Sum of given fraction
Computation:
⇒ 2/3 + 1/5
Step 1 :
By taking LCM of Denominator 3 and 5
⇒ LCM of 3 and 5 is 15
So,
2 multiply by 5 and 1 multiply by 3 and add after multiply
Sum of given fraction ⇒ [(2 x 5) + (1 x 3)] / 15
Sum of given fraction ⇒ [10 + 3] / 15
Sum of given fraction = 13 / 15
Plsss this is timed!
Answer:
c i think ???
Step-by-step explanation:
n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.
Answer:
Step-by-step explanation:
The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.
Null hypothesis: Vitamin C has no effect on preventing colds.
Alternative hypothesis: Vitamin C has a strong effect on preventing colds.
Assuming, significance level = 0.05
Since the p-value for the difference is 0.03 which is less than 0.05.
Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).
As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.
(1 point)
The number of eggs that a female house fly lays during her lifetime is normally distributed with mean 790 and standard deviation 92.
Random samples of size 98 are drawn from this population, and the mean of each sample is determined. What is the probability that
the mean number of eggs laid would differ from 790 by less than 30? Round your answer to four decimal places.
Answer:
0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.
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.
Mean 790 and standard deviation 92.
This means that [tex]\mu = 790, \sigma = 92[/tex]
Samples of 98
This means that [tex]n = 98, s = \frac{92}{\sqrt{98}}[/tex]
What is the probability that the mean number of eggs laid would differ from 790 by less than 30?
This is the pvalue of Z when X = 790 + 30 = 820 subtracted by the pvalue of Z when X = 790 - 30 = 760. So
X = 820
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{820 - 790}{\frac{92}{\sqrt{98}}}[/tex]
[tex]Z = 3.23[/tex]
[tex]Z = 3.23[/tex] has a pvalue of 0.9994
X = 760
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{760 - 790}{\frac{92}{\sqrt{98}}}[/tex]
[tex]Z = -3.23[/tex]
[tex]Z = -3.23[/tex] has a pvalue of 0.0006
0.9994 - 0.0006 = 0.9988
0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.
Please tell me please
Answer:
C
Step-by-step explanation:
It is one whole shaded diagram (100%) and half of the diagram (50%), making 150%
Answer:
a or c
Step-by-step explanation:
What is the formula of the surface area solved for r?
Answer:
Option CStep-by-step explanation:
It is the correct answer I explained in your next question
Sophie needs to determine the amount of water that will fit into her new vase, shown below.
Which combination of geometric shapes can she use to best estimate the vase's volume?
A cone and a hemisphere
A cylinder and a sphere
A truncated cone and a sphere
A truncated pyramid and a hemisphere
Answer:A truncated cone and a sphere
Step-by-step explanation:
I just did it.
The combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.
Sophie needs to determine the amount of water that will fit into her new vase, as shown below.
What is the volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
We have to determine the combination of geometric shapes can she use to best estimate the vase's volume.
Therefore the combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.
To learn more about the volume visit:
https://brainly.com/question/1972490
#SPJ2
-8(n-5)= -2(4n+11)
SOMEONE PLEASE SOLVE IT PLEASEEEE
Answer:
Use papa math
Plsss help mark brain list
Answer:
54
Step-by-step explanation:
63 * 2 = m of arc DF
arc DF = 126
180 - 126 = 54
Arc FE = 54
Answer:
arc FE = 54°
Step-by-step explanation:
Because DE is a diagonal, ∠DFE is 90°.
∠FDE = 180° - 90° - 63° = 27°
arc FE = 2(∠FDE) = 2(27°) = 54°
Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real number.
Answer:
Hi how are you doing today Jasmine
someone answer this please
Answer:
b = 33m is the answer
Step-by-step explanation:
a = 44m
b = ?
c = 55m
According to the Pythagoras theorem,
a² + b² = c²
44² + b² = 55²
1936 + b² = 3025
b² = 3025 - 1936
b² = 1089
b = 33m
∴ b = 33m is the length of the missing leg.
please help im stuck on this
Answer
The slope is 2
Step-by-step explanation:
What is value of the expression 9x+4y when x= and y=8
Answer: sorry about that Evaluate for y=8
9x+(4)(8)
9x+(4)(8)
=9x+32
Hope this help :D
Answer:
It doesn't say what x is so once you have x all you have to do is insert the numbers in their place, so you will get 9(x) + 4(8). Now multiply 9 by x, then multiply 4 and 8, which is 32. Now add 32 and whatever 9 times x is. Hope this helps!
which of the following is a factor of 18? a)3 b)4 c)30 d)60
Answer:
A) 3
-------------
Answer:
3
Step-by-step explanation:
because 18/3 = 6
or 6 x 3 = 18
so it is a factor of 18
Please answer this I need this answer today God bless America and have a good day! Organize the following facts from the book “Words to Save the World” into the appropriate categories. put the sentence in the boxes that goes together from problems and solutions
Answers: Chemical companies tried to discredit Rachel and her work.
Rachel decided to work alone.
Rachel wrote a book called Silent Spring to make people aware of environmental problems.
The assistants worked too slowly.
[Problem] and [Solution]
Answer:
problems
Chemical companies tried to discredit Rachel and her work.
The assistants worked too slowly.
solutions
Rachel decided to work alone.
Rachel wrote a book called Silent Spring to make people aware of environmental problems.
Step-by-step explanation:
If ∆HCN~∆BMD, solve for x.
Answer options:
A.11
B.12
C.13
D.14
PLEASE HELP ASAP THANK YOU!
Answer:
13
Step-by-step explanation:
The radius of a circle is 2.9 in. Find the circumference to the nearest tenth.
Answer:
[tex] \bf \large 20 \: inches [/tex]
Step-by-step explanation:
Given that :The radius of a circle is 2.9 in.to find :Find the circumference to the nearest tenth.formulas used :circumference = 2 × π × rwhere,
π = 22/7r = 2•9 inches explanation :⟼ c = 2πr
⟼ c = 2 × 22/7 × 2•9 inches
⟼ c = 2 × 3•14 × 2•9 inches
⟼ c = 6•28 × 2•9 inches
⟼ c = 18•21 inches.
Round to the nearest tenth :⟼ c = 18•21 inches
⟼ c = 20 inches
∴ circle circumference is 20 inches .
Brainliest for correct answer asap
Answer:
its the first one. Times the bigger numbers and add the indices. so it 16^7
Answer: A 16(7)
Step-by-step explanation:
First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.
There are
13
students in a class of
30
who play rugby.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place.
PLSSS SOMEONE HELP
Answer:
i think it might be 0.43
Step-by-step explanation:
Just divide 13/30 and it should you you that proportion as a percentage I think! Sorry if I might've given you the wrong answer but just trynna help!
have a nice day
Answer:
43.3% of the students play rugby.
Step-by-step explanation:
13/30 = 0.43333
0.43333*100 = 43.33%
Have a nice day!
and can I maybe have brainliest? Thanks!
Order these fraction from to : 2/3 , 7/12 , 3/4
I didn't really know whether to do it from least to greatest or greatest to least, so I did it from least to greatest.
Steps:
1. Find a common denominator
Let's do 12
2. Convert
7/12 is already in its simplest form, so 2/3 = 8/12 and 3/4 = 9/12
3. Order
7/12, 8/12, 9/12
4. Back to original form
7/12, 2/3, 3/4
ANSWER: 7/12, 2/3, 3/4
Answer:
2/3, 3/4, 7/12
Step-by-step explanation:
Least to greatest. Sorry if this was not what u were asking for.
determine whether the given ordered pair is a solution to the system of equations. 6x-2y=24 -3x+3y=24 and (10,18) yes, it is a solution no, it is not a solution
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Will give brainlyest
Drag the tiles to the correct boxes to complete the pairs
Find the missing the coordinates
A2.5 6.5 and 1) are
three vertices of square ABCD. What are
the coordinates of vertex
A2.33.37.33 and are
three vertices of square ASD What are
the coordinates of verte 2
O
AS-13.8.-1) and ansare
three vertices of rectangle ASD What
are the coordinates of vertex
A-L 4.80.4 and 7-13 are
three vertices of rectangle AS What
are the coordinates of verte
Answer:
I am trying to find the answer to this question as well, go to another website, maybe even Quizlet
Step-by-step explanation:
PLEASE HELP ME 20 POINTS FIR THE CORRECT ANSWER
Answer:
AC ≈ 11 cm
Step-by-step explanation:
i used the pythagorean theorem twice . . .
1st was with ΔCED:
EC² + 7² = 8²
EC² = 64-49
EC = √15
2nd was with ΔAED:
AE² + 7² = 10²
AE² = 100-49
AE = √51
√51 + √15 ≈ 11
I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
[tex]\angle A = 10[/tex]
[tex]\angle B = 145[/tex]
Required
Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]
The question is incomplete as the other triangles to make comparison from, are not given.
However, general information that could help you are as follows.
The given parameters show that we have to consider AA criterion for selecting similar triangles.
So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.
Take for instance.
[tex]\triangle DE\ F[/tex]
Where
[tex]\angle D = 10[/tex]
[tex]\angle E = 145[/tex]
See that:
[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]
[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]
This means that:
[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA
Answer:
The answer is the 10 degrees on and 25 degreees
Step-by-step explanation:
AP EX
Please help!! I will venmo
Answer:
30 cm^2
Step-by-step explanation:
the triangle is 36
the rectangle is 6
36-6=30
please help!!!!!!!!!!!!
Answer:
h = 2 ft
Step-by-step explanation:
V = lwh
144 = (9)*(8)*(h)
144 = (72)*h
h = 144/72
h = 2 ft
The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that a sample of 38 people from a North Carolina city consumed a mean of 1.84 cups of coffee per day, with a standard deviation of 0.85 cups. In a two-tail test at the 0.05 level, could the residents of this city be said to be significantly different from their counterparts across the nation?
Answer:
The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance
the null hypothesis is accepted
There is no significant difference between their counterparts across the nation
Step-by-step explanation:
Step(i):-
Given that the mean of the U.S residents = 1.65
Given that the size of the sample 'n' = 38
Mean of the sample = 1.84
Given that the standard deviation of the sample (S) = 0.85
Step(ii):-
Null hypothesis:H₀:
There is no significant difference between their counterparts across the nation
Alternative Hypothesis:-H₁:
There is a significant difference between their counterparts across the nation
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }[/tex]
t = 1.3788
Degrees of freedom
ν = n-1 = 38-1 = 37
t₀.₀₅ ,₃₇ = 2.0262
The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance
Null hypothesis is accepted
Final answer:-
There is no significant difference between their counterparts across the nation.