Answer:
[tex] \theta = 7 .2\degree [/tex]
Step-by-step explanation:
[tex]area = \frac{\theta}{360} \times \pi {r}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times {21}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times 441 \\ \frac{27.72 \times 360}{441\pi} = \theta \\ \frac{9979.2}{1385.4} = \theta \\ \\ 7 .2\degree = \theta[/tex]
Fido ate 52 containers of ice cream in 13 different flavors, with 4 of the container containing each flavor. If the first 5 containers were chosen at random, without replacement, what are the chances that 4 of those containers are the same flavor.
Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.
The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 52 containers, hence [tex]N = 52[/tex]For each flavor, there are 4 containers, hence [tex]k = 4[/tex]5 containers are chosen, hence [tex]n = 5[/tex]The probability of choosing all containers of one flavors is P(X = 4).
There are 13 containers, hence, the probability is multiplied by 13.[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]
13 x 0.000018469 = 0.0002
0.0002 = 0.02% probability that 4 of those containers are the same flavor.
A similar problem is given at https://brainly.com/question/25743676
The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.
Given :
Fido ate 52 containers of ice cream in 13 different flavors, with 4 containers containing each flavor. The first 5 containers were chosen at random, without replacement.The probability according to the Hypergeometric distribution is given by:
[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex] --- (1)
where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.
Now, substitute the values of known terms in the expression (1).
[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]
[tex]\rm P(X=4) =0.000018469[/tex]
Now, multiply the above result by 13.
[tex]13\times 0.000018469=0.0002[/tex]
So, the probability that 4 of those containers are the same flavor is 0.02%.
For more information, refer to the link given below:
https://brainly.com/question/23017717
In parallelogram ABCD, the following is true: m
m
m
m
m
m
Step-by-step explanation:
pa brainlest po hope it helpIs this correct? And if it is, what's the solution?
Answer:
No the graph is not correct. The point of intersection is (-3, 4)
Points on line y = x + 7 are (-3, 4) (0, 7) and (2, 9)
Points on line y = -1/3x +3 are (-3, 4) (0, 3) and (-6, 5)
Step-by-step explanation:
y = x + 7 do not change
y = -1/3x + 3 substitute into the top equation and solve for x
-1/3x + 3 = x + 7
-3 = -3
-1/3x = x + 4
- x = -x
-1 1/3x = 4
- 4/3x = 4 Changed -1 1/3x to -4/3x
x = 4/ -4/3
x = -3
y = x + 7
y = -3 + 7
y = 4 Point of intersection is (-3, 4)
Hellp! To get points!
Answer:
your answer would be B.
Step-by-step explanation:
for this fraction equation all you need to do is round the 2 up to a 8 putting it at 4/8, round the 4 up to a 8 putting it at 2/8, and keep the 1/8 the same. then add them all together and you would get 7/8
Answer:
b 7/8
Step-by-step explanation:
your gonna change everything to eights
Henry made juice from a recipe that called for 1 cup of sugar, 3 cups of lime-drink mix, and 2 gallons of water. Henry filled a container with 18 gallons of water, and used 9 cups of sugar. Based on this information, what is the total number of cups of lime-drink mix Henry used?
Answer:
27
Step-by-step explanation:
2 x 9 = 18 so
3 x 9 = 27 so that means its 27
write tan(t)/cos(t) in terms of sin(t)
[tex]\dfrac{\tan t}{\cos t}\\\\\\=\dfrac{\tan t \cdot \cos t}{\cos t \cdot \cos t}\\\\\\=\dfrac{\sin t}{\cos^2 t}\\\\\\=\dfrac{\sin t}{1 - \sin^2 t}\\[/tex]
Round your answer to the nearest hundredth
Answer:
9.49
Step-by-step explanation:
Using the Pythagorean Theorem, we know a²+b²=c².
So 3²+9²=(BA)²
9+81=(BA)²
90=(BA)²
From this, we know BA=√90
BA=9.486
Rounding to the nearest hundredth, this is 9.49
Please consider a brainliest! Thank you!
I need to solve for G in the following equation
my Christmas present to you
Answer:
ty
Step-by-step explanation:
Which expression can be used to find the surface area of the following triangular prism?
5
5
2.
11
8.
Answer:
214.
Step-by-step explanation:
To get Surface area take
(cross section area) × 2 +(perimeter of crossection area × length)
the cross section area is a triangle
so area of a triangle =1/2 base times height
1/2×8×2=8
let's get perimeter of cross section
the cross section is still at triangle so let's find its perimeter.
5+5+8=18
18×length of which is 11
18×11=198
and 188 + 16=214. that's the answer
maybe you can get a expression from the work that I've just done cuz I can't see the answers clearly in the picture you have taken.if you don't mind just send the picture back then I'll get the answer.
Please solve this equation: 3 + 4 = 21; 2 + 5 = 14; 7 + 7 = 98; 8 + 6 = ?
Answer:
112
Step-by-step explanation:
It appears that the relation is f(a, b) = a(a+b).
f(3, 4) = 3(3+4) = 21
f(2, 5) = 2(2+5) = 14
f(7, 7) = 7(7+7) = 98
f(8, 6) = 8(8+6) = 112
__
The symbol "+" has apparently been repurposed from its usual meaning in math. It is being used as an infix operator with two arguments. We have shown the relation above as a function f with two arguments (a, b). In our definition ...
f(a, b) = a(a+b)
the symbol "+" has its usual meaning.
_____
Additional comment
This sort of question requires a little bit of "out of the box" thinking. It helps immensely if you're familiar with your addition and multiplication facts. Then you are in a position to recognize how the outputs may be related to the inputs.
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
I think the 3rd one
Step-by-step explanation:
Hope its right
Hurry !!!A typical barrel of bot-oil contains 70 liters of oil. If a hole in the barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.
Answer:
y = -6x + 70
Step-by-step explanation:
Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.
HELP PLEASE!! ;-; !! TWO PART QUESTION!! 1) Consider the image. Are the two triangles congruent if a is congruent to d and b is congruent to e?
A) Yes, by the ASA postulate.
B) Yes, by the SAS postulate.
Yes, by the SSS postulate.
D) No, they are not congruent.
2) suppose that three corresponding angles are congruent for two triangles (AAA), why can’t congruence be proved between the two triangles?
A) the triangles could have the same shape but not the same size.
B) The triangles could have the same size but not the same shape.
C) with three equal angles, only the shortest side of the triangles can be congruent.
D)With three equal angles, only the longest side of the triangles can be congruent.
Answer:
A
Step-by-step explanation:
A
13 fasteners cost 78 cents find the cost for purchasing 4, 687 fasteners
First divide 4687 by 13 and then multiply the answer by 0.78. The answer would be:
4687÷13= 360.5384615
360.5 × 0.78 = $281.22
Write the percent as a fraction or mixed number in simplest form.
72.5%
Please show your work. Thank you!
Answer:
[tex]\frac{29}{40}[/tex]
72.5% As a Fraction
= [tex]\frac{0.725*1000}{1*1000}[/tex]
=[tex]\frac{725}{1000}[/tex]
=[tex]\frac{725/25}{1000/25}[/tex]
=[tex]\frac{29}{40}[/tex]
:) I hope this helped you
Answer: As a fraction it is 145/2 and as a mixed number it is 72 1/2
Step-by-step explanation:
First write down the number like this, 72.5/1
Then multiply each number by ten like this, 72.5 x 10 = 725
And 1 x 10 = 10 and write that as a fraction like this, 725/10
Next do 725 divided by 5 = 145 and 10 divided by 5 = 2
And put that in a fraction like this 145/2
That is the fraction of 72.5%
As a mixed number you put the 72 as a whole number and 1/2 because 5 represents a half
I hope this is helpful
7x – 5 – 3x = 7 – 6x solve for x
Step-by-step explanation:
7x - 3x=5 + 7
we will plus --
10x =12
x=12÷10 or 10 /12
x=12.2
What does (-4)+8-9+12-(-3)
10 is the your answer, hope its worth it
a) work out the size of angle x.
b) give reasons for your answer.
Answer:
x = 75°
Step-by-step explanation:
180° - 105° = 75°
75° = 75°
Line CG is 180°. The angle of 105° is on this line, and we know that ∠F + 105° = 180° so we can subtract 105° from 180° to find ∠F. Next, ∠F and ∠x are corresponding angles, so they will be equal.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
How does a plastic fork, whale, hospital and chocolate bar relate with each other?
Answer:
They all include the letter A
Step-by-step explanation:
Please help everyone!!!!! I will give you brainliest if you answer my question correctly! The average weight of 6 packages is (9m+8) pounds 2 more packages with weights of (12m + 12) pounds and (14m + 12) pounds, are added to the original 6 packages. Find the average weight of the 8 packages.
Answer: 22m + 20
First average the 2 package weights:
(12m+12) + (14m + 12) / 2
(26m + 24) / 2
13m + 12
So the average weight of 2 package is 13m + 12
Now you already know the average of 6 packages that is 9m + 8. So add the 2 package and 6 package average weights.
13m + 12 + 9m + 8
22m + 20
I am not sure unless you or someone else thinks it correct. But thats it, pls forgive me if i am wrong... :(
You have an account that starts at $2500 with an interest rate of 3.25% compound yearly. How much is in the account after 10 years? Round your answer to the nearest hundredth.
Answer:3,312.50
Step-by-step explanation:1. We assume, that the number 2500 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 2500 is 100%, so we can write it down as 2500=100%.
4. We know, that x is 3.25% of the output value, so we can write it down as x=3.25%.
5. Now we have two simple equations:
1) 2500=100%
2) x=3.25%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
2500/x=100%/3.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
[tex]\huge \dag \sf{Answer \: it}[/tex]
[tex]solve \: for \: x \\ \\ {2}^{ {x}^{2} } 2 \frac{3x \sqrt{3} }{2} = 8 [/tex]
Don't spam and Don't copy.
Need answer with explanation
Don't answer if you don't know
Best of luck guys
Answer:
Answer: x = √3 and 8/(3√3)
Step-by-step explanation:
[tex]{ \rm{({2}^{ {x}^{2} } )(2 \frac{3x \sqrt{3} }{2}) = 8}}[/tex]
• For the first bracket:
[tex]{ \rm{ {2}^{ {x}^{2} } = 8}} \\ \\ { \rm{ {2}^{ {x}^{2} } = {2}^{3} }} \\ \\ { \rm{ {x}^{2} = 3}} \\ \\ { \rm{x = \pm \sqrt{3} }}[/tex]
• For the second bracket;
[tex]{ \rm{ 2 \frac{3x \sqrt{3} }{2} = 8}} \\ \\ { \rm{3x \sqrt{3} = 8 }} \\ \\ { \rm{3x = \frac{8}{ \sqrt{3} } }} \\ \\ { \rm{x = \frac{8}{3 \sqrt{3} } }}[/tex]
A 3-quart carton costs $2.79, while a 4-quart carton costs $3.88. Which is the better buy and why?
Answer: the 4 quart is a better buy
Step-by-step explanation:
the other two options are…
c. Function A and function B both have two real solutions.
d.The vertex of function A is lower on the graph than the vertex of function B.
GIVING BRAINLIEST IF FAST
SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!
Matthew is shrinking
a photograph picture
with an area of 8
square inches on the
computer. He plans
to reduce the area by
25%. What will be the
area in square inches
of the reduced
photograph?
Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4
Answer:
x=5/3
Step-by-step explanation:
Answer:
-5/3 or -9/4 is the answer
Step-by-step explanation:
Just completed it
Java 1
Question 15
Another word for "looping" is:
a. encapsulation
b. iteration
c. reiteration
d. generalization
e. inheritance
Answer:
the anwser is b
Step-by-step explanation:
it is another word for looping
If you roll two fair six-sided dice, what is the probability that the dice show the same number?
Answer:
mom will let you know
Step-by-step explanation:
shes gone
