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.
is 6.7234724… rational or irrational.
Answer:
rational
Step-by-step explanation:
This could be written as a fraction
My second prob please help helpppI need help like right now pleaseeeeee
Answer:
5/8
Step-by-step explanation:
v = l x w x h
v = 3/4 x 1/3 x 5/2
v = 5/8 cm or 0.635 cm
Which type of data is more "perfect"?
Answer:
The answer is Graph Data
Match the statement with the inequality.
1. C
2. A
3.B
4.D
Step-by-step explanation:
A,B,C,D are the possible answers in order. 1,2,3,4 are the questions in order. 1. n is greater than or equal to 4 means that n's value is larger than 4 or 4. so it would be greater than with a line underneath. 2. n is less then 4. this means n's value is any real number less than 4. so it would be n is less than 4. n is less than or equal to 4 means that it can be any real number less than 4 or 4 itself, so it would be n is less than 4 with a line underneath. process of elimination leaves just 1 answer for 4
Choose the graph of this equation. y = 2.5x
BRAINLIST IF RIGHT!!!!
Answer:
The First Graph (top left)
Step-by-step explanation:
bottom left: y = 3x
top right: y = 2x
bottom right: y = 3x
The top left is the only correct one
sina×tga=1/2, cosa=?
Answer:
cos a = -1.28 and 0.78
Step-by-step explanation:
The question is not properly written. This is the correct question:
If sina×tan(a) = 1/2, find cosa
According to trigonometry identity;
tan a = sina/cosa
sina×tan(a) = sin a * sina/cosa
sin²a/cos a = 1/2
(1-cos²a)/cosa = 1/2
Cross multiply
2(1-cos²a) = cos a
2 - 2 cos²a = cos a
2cos²a + cos a - 2 = 0
Let P = cos a
2P² + P -2 = 0
P = -1 ±√1-4(2(2)/2(2)
P = -1 ±√1+16/4
P = -1 ±√17/4
P = -1±4.12/4
P = -1-4.12/4 and -1+4.12/4
P = -5.12/4 and 3.12/4
P = -1.28 and 0.78
Since P = cos a
Hence cos a = -1.28 and 0.78
A cell phone costs 120 dollars. The price reduced 30% for a sale. How much is the savings
Answer:
You save 36 dollars.
Step-by-step explanation:
30% of 120 is 36.
You spend $84
7+1-8-5||
(1-4) +17
What the answer
Answer:
Step-by-step explanation:
-5(3)+13
kristy had two brothers and 2 sister the little sister name kylie was 8 years old the big sister name kaylie is 12 years old the big brother name jay lay is 13 years old the little brother is 10 years old but they mom let hem buy what ever they wanted she gave each 10$ and 9 cents how many money did she paid
Answer:
Ahhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Thx fa free points susta
please help me on this question
Answer:
The answer is A
Step-by-step explanation:
[tex] \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \\ \\ \frac{2 \times 2}{3 \times 2} = \frac{4}{6} [/tex]
please answer asap I'll mark brainliest!!!!
Answer:
10.) 6 2/5 11.) 21/100
Step-by-step explanation:
I hope that these are correct, they are simplified.
Stay awesome! and don't forget to be K I N D! <3
Jane mixes 3 gallons of red paint (r) for every 6 gallons of blue paint (b). Write one equations that show the relationship between red paint and blue paint. Use lower case r and b (NO SPACES)
Answer:
umm 9 gallons i think
Step-by-step explanation:
will give brainliest
Which of these options are linear?
Answer:
B table
Step-by-step explanation:
The B table is a linear table because with each x value, the y value is moving steadily with addition/subtraction. Table A is moving steadily with multiplication.
What are the solutions of the inequality?
-4(-2x+3) > 8x – 14
can someone explain why it’s infinitely many solutions?
Answer:
( − ∞ , ∞ )
Step-by-step explanation:
Melina wants to achieve a race of 22 miles an hour. She completes 10 miles in 30 mins. Did Melina achieve her goal ?
gave me the measure of angle 4
Answer:
need points
Step-by-step explanation:
is this a question
The above problem has completed the first step, distributing both sides of the equation.
Finish the problem and determine the value of x.
4) Find the measure of the third angle.*
10 points
B
10 mm
540
5.9 mm
?
A
8.1 mm
60
35
36
Answer:
36
Step-by-step explanation:
angle A + angle B + angle C= 180°
180=90+54+angle A
angle A = 36
Answer:
b??? I think I'm so sorry if this is wrong I tried
which deal is better? 3 tacos for 2.40 dollars or 4 tacos for 3.40 dollars?
Answer:4 tacos for 3.40 dollars
Step-by-step explanation:
I NEED HELPPPPPPPPPPPPPPP
It should be either A or B but I can’t figure it out from there, it at least slims down your choices
Sinead bought 2 shirts for 15.10 each and a pair of shoes for $42.42 If she paid for the items with a $100 bill, how much change
did she receive?
Answer:
27.38
Step-by-step explanation:
15.10 times 2 is 30.2
30.2+42.42=72.62
100-72.62=27.38
help me please please.
9514 1404 393
Answer:
$6.56
Step-by-step explanation:
The value is found by multiplying:
32% of $20.51 = 0.32 × $20.51 = $6.5632 ≈ $6.56
Using the diagram below, find DE.
Answer:
I found it
Step-by-step explanation:
What is the slope (1,5),(10,2)
Answer:
m=-1/3
Step-by-step explanation
y2=2,y1=5 , x2=10 , x1= 1
m=y2-y1/x2-x1
m=2-5/10-1
m=-1/3
3/9 because if u plot the 2 points on a graph it will be 3 up and 9 over.
1. Simplify -3(2x+4)-2
6х+12
-5x-9
-6х-14
-X-2
Answer:
-6x-14 is the answer. Thx.
Step-by-step explanation:
-3(2x+4)-2
6x-4-2
6x-6
Brainliest...I have to post a few of these cause I forgot to study for this assignment....
Answer:
-1
Step-by-step explanation:
you do 1/1 which is 1. because the line is negative, the answer is -1
John,Kris,and Monica are playing catch with a frisbee. They are standing in a triangle, as shown below .
Monica can only throw the frisbee 75 feet. If she throws the frisbee as hard as she can to John, will it reach him?
Answer:
Ur seriously taking Charles Geometry exam, and post the question here
Step-by-step explanation: Since ur so desperate by asking here evelyn, the answer is D since monica can only throw 75 feet and John is 70 feet away from her.
How to find percents of numbers using multiples of 100, 10, and 1%?
I need this for my summary, please help!!
Answer:
Im not too sure what the question is
Step-by-step explanation:
but when finding the percent of any number, 10% will always move the decimal over to the left once. So 10% of 300 is 30.0 This also works for 1%, you just move the decimal over twice. So 1% of 300 is 3
Is that the real answer at the top and what’s the Raleigh Rocket’s score ?
Answer:
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
Step-by-step explanation:
Let c be the Castways score and r be the Raleigh Rocket’s score
Then
According to given statements, the equations will be:
[tex]c+r = 96\\r = \frac{1}{3}c[/tex]
From equation 2
[tex]3r=c[/tex]
Putting c = 3r in equation 1
[tex]3r+r = 96\\4r = 96\\\frac{4r}{4} = \frac{96}{4}\\r = 24[/tex]
Putting the value of r in equation 2
[tex]r = \frac{1}{3}c\\24 = \frac{1}{3}c \\c = 24*3\\c = 72[/tex]
Hence,
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
What does the question mark stand for in the following when you factorise:
10a2 +15ab = 5a(2a+?)
