I need help on this assignment
[tex]\text{Apply Pythagorean theorem,}~ \text{Hypotenuse side}^2 = \text{Opposite}^2 + \text{Adjacent side}^2[/tex]
[tex]12^2 =y^2 +8^2\\\\\implies y^2 = 12^2 -8^2 \\\\\implies y^2 = 80\\\\\implies y =\sqrt{80} = \sqrt{16\times 5}= 4\sqrt 5~~ \text{Units}[/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%.
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Myra took a picture of the sky one afternoon when two jet airplanes appeared to draw a pair of parallel lines with their vapor trails. The vapor trails from two other jets flying from another direction crossed over the parallel trails. She printed her picture and labeled the angles and lines. Parallel lines c and d are cut by transversals a and b. All angles are described clockwise, from uppercase left. The intersection of lines c and b form angles: 2, 4, 3, 1. The intersection of lines d and b form angles: 6, 8, 7, 5. The intersection of lines c and a form angles: 10, 12, 11, 9. The intersection of lines a and d form angles: 14, 16, 15, 13. Assume lines c and d are parallel and Angle2 measures 98°. Which statements are true? Select three options. MAngle3 = mAngle6 = 98° mAngle3 = mAngle14 = 98° mAngle4 = mAngle8 = 82° mAngle4 = mAngle12 = 82° mAngle5 = mAngle8 = 82°.
The following statements are true:
<3 = m<6 = 98 degrees (alternate interior angles)m<4 = m<8 = 82degrees (corresponding angles)m<5 = m<8 = 82 degrees (vertical angles)Find the diagram attached.
Given the parameter:
m<2 = 98 degrees
From the diagram, the following are true:
m<2 = m<3 = 98 degrees (vertical angles)
m<3 = m<6 = 98 degrees (alternate interior angles)The sum of m<3 and m<4 is 180 degrees.
m<3 + m<4 = 180
m<4 = 180 - m<3
m<4 = 180 = 98
m<4 = 82 degrees
m<4 = m<8 = 82degrees (corresponding angles)m<5 = m<8 = 82 degrees (vertical angles)Learn more on angles here: https://brainly.com/question/24607467
Answer: A, C, E
Step-by-step explanation: God/Edge
Terre Haute to Indianapolis to Bloomington measure 3 cm on the map. What is the actual distance?
a) 100 km
b) 150 km
c) 200 km
d) 250 km
From the information given, it can be deduced that the actual distance from Terre Haute to Indianapolis to Bloomington is 150km.
From the complete information, we are told that on the map of Indiana, 1cm = 50km.
Therefore, since Terre Haute to Indianapolis to Bloomington measures 3 cm on the map, the actual distance will be:
= 3 × 50 = 150km
Learn more about distance on:
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Answer:
if you are from connexus 8th grd 02051 pre-algebra A unit 5 lesson 6
then here are the correct answers
Step-by-step explanation:
1. B. 150 km
2. A. 300 km
3. D. 7.5 cm
4. B. 30 yd ^ 2
5. A. 90 x 45
i hope this helps please coment if you can! = ) <3
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h
Answer:
B
Step-by-step explanation:
128/2=64 mph
(the rate)
2 hr= 120 min
so.. 120-24= 96
and with the wind speed is r-c and without it is r+c because your going against the wind.
Please show me what the lines would look like on this piece wise function
Explanation:
The f(x) function is piecewise, and it has a double identity depending on what x is.
If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's not part of the graph. In contrast, the closed hole at x = 1 is included.
The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.
So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.
Can someone please explain the steps?
Answer:
There all 67 degrees
Step-by-step explanation:
Answer:
y= 119
Step-by-step explanation:
From the diagram we know that opposite angles are the same so we can assume that y and its opposite angle will be the same too
All inner angles of a parallelogram add up to 360
61+61=122
360-122=238
238/2=119
If Kareem spends 40% of the interest on a new recliner, what amount did he spend on the recliner?
Find the values of the variables in the similar triangles very much high points
I know for a fact that x=2
Answer:
x = 2, m = 3.75, a = 1.25Step-by-step explanation:
Solve by comparing ratios of corresponding sides:
(x + 4 + 2) / (4 + 2) = (3 + 6 + 3)/(6 + 3) (x + 6)/6 = 12/9x + 6 = 8x = 2m/(6 + 3) = 5/(3 + 6 + 3)m / 9 = 5/12m = 9*5/12m = 3.75
a/3 = 5/12a = 3*5/12a = 1.25
Find the value of x and then identify the measure of each of the angles.
Answer:
x = 21
Upper angle has a measure of 69°
Lower angle has a measure of 21°
Step-by-step explanation:
The two angles form a right angle ( indicated by the little square )
A right angle has a measure of 90 degrees.
This means that (x + 48) + x must equal 90
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
x + 48 + x = 90
combine like terms
2x + 48 = 90
subtract 48 from both sides
2x = 42
divide both sides by 2
x = 21
We then plug in x to find the measures of the angles
x + 48
x = 21
21 + 48
= 69
The other angle simply equals 21°
Answer:
x = 21°
(x + 48°) = 69=
Step-by-step explanation:
x + 48° + x = 90°
2x +48° = 90° Subtract 48° in both sides
2x = 42° Divide both sides by 2:
x = 21°
Erika ran 3/8 mile. Maria ran 3/4 mile. Who
ran farther?
Answer:
Maria, because 3/4=.75
Step-by-step explanation:
3/4=.75
3/8=0.375
The bigger number is 3/4
Help! Will give brainliest!
Answer:
The domain of "Per Night Stay" would amount to $125 surcharge by day amounting to $3000 total cost function
Step-by-step explanation:
5. Simplify the expression 49. (1 point)
O24.5
O 6.5
06
OT
6. Which of the following inequalities is true? (1 point)
Answer:
7
Step-by-step explanation:
the square root of 49 is 7 since 7 x 7 = 49
Which relation is not a function?
A
{(10,−5),(8,−4),(4,−2),(2,0)}
B
{(1,−2),(1,−4),(1,0),(1,8)}
C
{(−3,9),(−2,4),(−1,1),(1,1)}
D
{(3,10),(5,−5),(6,6),(9,11)}
Answer: B repeating domain is 1
Step-by-step explanation: Repeat domain is not a function. Hope this help:)
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
Answer:
C
Step-by-step explanation:
The first equation has a y-intercept of -3. Only one line does.
The second equation has a y-intercept of +1. Only one line does.
The point of intersection of those two lines is the point labeled C. That has coordinates that satisfy both equations. (The point is on both lines.)
What am I supposed to say on here the question is in the picture
The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information?
A
The average weight gain of a kitten on a newly developed brand of kitten food is also 0.3 lbs. a month.
B
The average weight gain of an adult dog on a newly developed brand of adult dog food is also 0.3 lbs. a month.
C
The average weight loss of a puppy on a newly developed brand of puppy food is 0.3 lbs. per month.
D
none of the above
James makes $44,059 per year, how much would he make monthly?
Answer:
$3671.58
Step-by-step explanation:
Take the annual salary and divide it by the number of months
Find the equation of the tangent to the circle, whose equation is given below, at the point (-4,2).
(x+2)^2+(y−3)^2=5
The equation of the tangent is y = –2x – 6
The step by step process is in the pic attached.
The top part was cropped out, it says the centre point is (–2,3)
find the equation of the line that is parallel to y=x-3 and contains the points (3,-2)
Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market
The best account if one plans to make frequent withdrawals via check or debit card is A. Checking account
Checking accounts:
Are the least interest bearing accounts Allow for frequent withdrawals using a check or debt card Charge lower feesChecking accounts are best when a person wants easy access to their money because they can get to it via checks or debit cards. The drawback however, is that interest on these accounts are low.
In conclusion, option A is correct.
Find out more about checking accounts at https://brainly.com/question/21714367.
HELP FAST LAST QUESTION ON TEST!!! The front lawn of NPHS has a roped off area of 2x? - 11x + 15. What are the
possible dimensions of the roped off area?
Answer:the area is = the length*the width
2x^2-11x+15= (2x-5)* the width
you have to divide 2x^2 - 11 x + 15 at 2x-5
2x^2-11x+15 | 2x-5
-2x*2+5x x-3
-------------
/ -6x+15
+6x-15
-----------------
/ /
the answer is X-3
Step-by-step explanation:
Solve each equation.
1) | 2x - 4 | = 10
2) -5 | -4x + 4 | - 7 = -67
Show all work please :D
[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]
3. * + 6 = 10 (1 point)
5
044
30
O20
0-20
Step-by-step explanation:
I think its b.30 but I'm not sure
Give the equation of the line in slope intercept form. y = 3x + [?] =
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today.
We can solve this problem in a single step, we just need to know how equations like this are set up.
Equations in slope intercept form are set up in [tex]y=mx+b[/tex] form. With [tex]m[/tex] being the slope of the line, and [tex]b[/tex] being the y intercept.
In your problem, we need to find the value of [tex]b[/tex], which is the y intercept.
The y intercept is what is y when x is zero. We can find that by looking at the graph supplied.
When we look at the line, we can see that it hits the x axis when y is negative two, therefore the intercept is [tex](0,-2)[/tex].
Since we know that, we can reconstruct our equation with this information, we already know the slope so we can add in -2 to get our answer.
[tex]y=3x-2[/tex]
This would be our final answer.
Cheers!
given f(x)=1/4(5-x)2 what is the value of f(11)
Answer:
f(x)=1/4(5-x)²
Step-by-step explanation:
f(11)=1/4(5-11)²
1/4(-6)²
1/4(36)
=9
Answer:
=9
Step-by-step explanation:
;0
WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
NO LINKS WILL BE ACCEPTED!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
y=3 x=1
Step-by-step explanation:
Took the quiz
Can someone Please help me on this easy math problem
Step-by-step explanation:
Equation of a straight line
y = mx + c, m is the slope, and c the intercept
points (3,7) x = 3, y = 7, c = 1
7 = m × 3 + 1
7 = 3m + 1
3m = 7 - 1
3m = 6
m = 6/3
m = 2
5x+15=50
Solve for X
PLEASE SHOW YOUR WORK
Answer:
you do:
50-15= 35
35÷5=7
so x=7
Find the solution
Y = -3x - 5