Answer: There are 4 male goats.
Step-by-step explanation:
We know that n of the 10 goats are male.
The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)
The probability is;
p = n/10
Now the total number of goats is 9, and the number of male goats is n -1
then the probability of selecting a male goat again is:
q = (n-1)/9
The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is
P = p*q = (n/10)*((n-1)/9)
And we know that this probability is equal to 2/15
Then we have:
(n/10)*((n-1)/9) = 2/15
(n*(n-1))/90 = 2/15
n*(n-1) = 90*2/15 = 12
n^2 - n = 12
n^2 - n - 12 = 0
This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:
For an equation:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
For our case, the solutions will be:
[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]
The two solutions are:
n = (1 - 7)/2 = -3 (this solution does not make sense, we can not have a negative number of goats)
The other solution is:
n = (1 + 7)/2 = 4
This solution does make sense, this means that we have 4 male goats.
Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y -4 = -2(x+3)
What is the value of 80 + 57
Answer:
137
Step-by-step explanation:
Add 80 and 57.
answers for the 2 boxes please :)
13 = -2 ( y - 4 ) + 3y
Answer:
5
Step-by-step explanation:
13 = -2y + 8 + 3y
13 = y+8
y = 5
Sam runs 6 miles in 45 minutes. At the same rate, how many minutes would he take to run 4 miles?
Answer:
It would be 30 mph
Step-by-step explanation:
45/6=7.5
7.5*4=30
Answer:
30 minutes
Step-by-step explanation:
Each mile takes him 7 minutes 30 seconds. So you will do 7.5 x 4 to get 30 minutes
What’s this? I need help
Answer:
Its PS equals QR: A
Step-by-step explanation:
give answer fast...
it's very important for me....
then I give you 20 thanks...(◍•ᴗ•◍)❤
Answer:
I have the answer
Step-by-step explanation:
Answer:
the required answer is 18
Step-by-step explanation:
see the solution in attached picture
i hope u got it
The price of a wakeboard that regularly sells for $600 is reduced to $528 by what percentage is the price reduced?
Answer:
12%
Step-by-step explanation:
600-528=72. (subtract)
72/600= 3/25. (simplify)
3/25 = 12%. ( convert to percent)
(answer accuracy not garunteed)
Answer:
600-528 = 72
72/600 = 0.12
0.12 X 100 = 12 %
It is reduced by 12 %
Write the equation of a line that is parallel to y = -x + 7
and passes through the point (-4, 1). Write your answer
in slope-intercept form, y = mx + b.
Answer:
y= -x-3
Step-by-step explanation:
A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.
We get...
y= -x+b
1= -(-4)+b
1=4+b
b=-3
Our final equation is y=-x-3
Hope this helped
The value of a professor basketball players autograph rose 30% in the las year.It is now worth $286.00. What was it worth a year ago
A. $210.00
B. $230.00
C. $200.00
D. $220.00
Answer:
$220 dollars
Step-by-step explanation:
a = p * w (the percentage formula)
subsitute. It rose by 30 % since last year so you're going to put 1.30 (30% -> 0.30 then add 1)
286 = 1.30 * w
solve.
w = 220
PLS HELP DUE SOON ILL GIVE BRAINLIEST
Answer:
a = w/p
Step-by-step explanation:
To take a out of the fraction, we can multiply both sides by a to get ap = w. Now, we divide both sides by p to get a = w/p.
Answer:
a = w/p
Explanation:
Step 1: Multiply both sides by a.
ap = w
Step 2: Divide both sides by p.
ap/p = w/p
a = w/p
Can someone tell me What dose Y=??
6x + 3y = 12
4x + y = 14 what is the solution
Answer:
x=5 y=-6
Step-by-step explanation:
6x + 3y = 12 , 4x + y = 14
4x*3+y*3=14*3
12x+3y=42 , 6x+3y=12
(12x-6x)+(3y-3y)=30
6x=30, x=5
4*5 + y = 14
y=-6
Find the value of x I’d appreciate if you could explain as well if not that’s fine
What is the Equation of the Line Passes through the points (-4,8) and (1,3)
show work please, i need these asap and thx for trying :)
y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of line passing through points (-4,8) and (1,3)
m=3-8/1+4
=-5/5=-1
Now we need to find the y intercept
8=-1(-4)+b
8=4+b
b=4
Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
To learn more on slope of line click:
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PLZ HELP ILL GIVE BRAINLIEST
Answer:
-1 -9i, where a = -1 and b = -9
Step-by-step explanation:
1st step is to open up the brackets. Since there's a (-) in front of the second bracket, we have to multiply every term by -1, so positive becomes negative, negative becomes positive etc.
4-i-5-8i
Then we collect like terms.
-1 -9i
This is the answer. It looks wrong since the variables are 'positive' in a +bi, but you have to remember that a variable can be represented as a, but its actual value could be negative, in this case -1. This is the same with b, as b could be the same as -9.
This is an expression, so we can't multiply everything by -1 to make it 'look right'. You can only multiply by -1 or 'alter' the terms when the expression equates to something.
What is the x-value of the solution to the system of equations:
y = -1/2x - 4
y = 2x + 1
Answer:
x = 0
x = (-1/2,0)
Step-by-step explanation:
write a paragraph to describe a time when you collaborate with a
partner or a group on a project in school. It does not have to be regarding math.
Describe the project and your experience working with a team. What were the
pros and cons? Do you prefer to work in a group or by yourself.
Answer:
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Step-by-step explanation:
Answer:
Step-by-step explanation:
I had a partner(s) work on a project in middle school. This was in social studies, and we were writing a fictional story about the life a neanderthal (butchered that word). I hated working with the people, they were fine, I just work better alone. If there are multiple things people can work on seperatly, working in a group is great. Writing a paper is horrible, I hate working in a group in that situation.
A side of the triangle below has been extended to form an exterior angle of 66°. Find
the value of x.
xo
48°
66°
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.
=> x + 48° = 66°, x = 18°.
The required measure of the angle x is given as 18°.
Given that,
A side of the triangle below has been extended to form an exterior angle of 66°
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°
Thus, The required measure of the angle x is given as 18°.
Learn more about Angles here: https://brainly.com/question/13954458
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Convert 0.838383 into a fraction
Answer:
8jdhdhdhdhfbdudhdhdhd
PLEASE PLEASE HELP!~!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
$6.87
Step-by-step explanation:
The cost of 0.6 pounds of blueberries is ...
(0.6 lb)($3.98/lb) = $2.39
The cost of 1.8 pounds of clementines is ...
(1.8 lb)($2.49/lb) = $4.48
Then the total cost of the purchase is ...
$2.39 +$4.48 = $6.87
The combined cost is $6.87.
The area of a square mural pointed on the side of a building is 110 square feet. What is the best estimate of the side length of the mural?
A.10 Feet
B.10.2 Feet
C.10.5 Feet
D.10.8 Feet
Answer:
C
Step-by-step explanation:
Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.
[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]
98.92 as a decimal to 2 places
Answer:
98.9 i think
Step-by-step explanation:
to round to 2 decimal places, look for the number 2 places from the decimal point. that number is 2. is there any number next to it on the right? no. so just round.92 which is 98.9
2 decimal places question.
98.92 would remain exactly the SAME if all u want is 2 decimal places answer
= 98.92
Please graph y=2/3-4.
This is about slope.
I would really appreciate it if you would help.
Thanks!
A restaurant what is quantitative and flower Child towers the ratio of the number of corn to tell us to the number of flour tortillas is fortified what is the measure of the number of how to tease to the total number of tortillas I know it’s a lot but plz help
Answer:
i belive it is 2:5
Step-by-step explanation:
this is because 2 and 3 represent both the corn and flour the sum is the total
Please can someone answer this question quickly please
Thanks
Answer:
C. 5/7
Step-by-step explanation:
Answer:
It is C.5/7
Step-by-step explanation:
Hope this helped have an amazing day!
In New Mexico, the state sales tax rate is 5.125%. The price tag on a baby crib gives the price as $320. There are no discounts available. What is the total cost for the crib, including sales tax, in New Mexico? *
Answer: $336.40
Step-by-step explanation: 5.13% of $320 would be $16.40 just add that on to the before tax price.
WILL MAKE BRAINLIEST
The Point of Concurrency made from medians is a(n):
Answer:
centroid
Step-by-step explanation:
if two angles in a triangle are 40° and 30°, then the third angle measures 110
Answer:
Si
Step-by-step explanation:
Find the values of b such that the function has the given maximum value [tex]f(x) = -x^2+bx-65[/tex]. I already have it in vertex form as [tex]-(x+\frac{b}{2})^2-65+\frac{b^2}{4}[/tex] but I don't know what to do from here
Answer:
b = {20, -20}Step-by-step explanation:
Given function:
f(x) = -x² + bx - 65 with maximum value of 35To find
The value of bSolution:
Maximum value is obtained at vertex as a < 0
Vertex coordinate of x is:
x = -b/2a = -b / -2 = 1/2bSolving for b:
35 = - (1/2b)² + b(1/2b) - 65- 1/4b² + 1/2b² = 1001/4b² = 100b² = 400b = √400b = ± 20See attached