I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
The probability both of my choices are male is 2/15
Use the information to form an appropriate quadratic equation N square + an + b = 0, specifying the constants a and b.
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.
what's the answer please
THIS IS NOT THE ANSWER, IT'S AN EXAMPLE!!
(You didn't show the numbers that were given for me to answer this. BUT in the example, it shows you how to solve it. Just replace the numbers I put with the ones you were given. If you want me to solve it still, please comment the numbers on this for the answer)
Example; First, write the formula.
A=bh
Next, substitute in the values you have been given.
A=6×2
Then, do the multiplication.
A=12
The answer is 12 sq. cm.
Which of the following shapes are rectangles? Choose two answers!!!! Please helpppp !!!!!!!!!!!!!!
Answer:
A&D
Step-by-step explanation:
Answer:
A. and C.
Step-by-step explanation:
because 2, 2 sides are equal of four line boxes
if f(x) is an even function, which function must also be even?
1) f(x-2)
2) f(x)+3
3) f(x+1)
4) f(x+1)+3
Answer:
Step-by-step explanation:
Option 2 is correct.
if function is even , it is symmetrical about y axis.
if this function shift horizontally it will not remain symmetrical about y axis
if this function shift vertically it will remain symmetrical about y axis
Write an equation of the line that passes through the given points.
(2,6) (-4,-2)
Answer:
y = 8/6x + 10/3
Step-by-step explanation:
You find the slope (m) first which is
Change of y over change of x
(6) - (-2) over (2)- (-4)
8/6 = m
Then you plug it into the equation y = mx + b
y = (8/6)x + b
Now you pick any of the set of points to plug in for x and y to solve for b
(6) = (8/6)(2) + b
6 = 8/3 + b
b = 10/3
Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.
y = 8/6x + 10/3
HELP PLS ill mark u brainliest
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
Lesson 4-1 Solving Systems of Equations by Graphing
Answer:
Where's the question?
Step-by-step explanation:
Answer:
we cant answer it theres no backup to the question
Step-by-step explanation:
please help me plss
Which expression is equivalent to five ninths?
( A ) 5 ÷ 9
( B ) 9 ÷ 5
( C ) 5 − 9
( D ) 9 − 5
Answer:
A) 5÷9
Step-by-step explanation:
As, 5 is a whole number
And when the number ends with "ths" it is always the denominator
So here it is ninths so 9 will be in the denominator
WHATS THE ANSWER PLEASE HURRY
Answer:
2.2 * 2.2 = 4.84
4.84 * 6 = 29.04
33) What value for x makes this equation true? 4x + 3 = 23
Answer:
x = 5
Step-by-step explanation:
4x + 3 = 23
Subtract 3 from both sides;
4x = 20
Divide both sides by 4;
x = 5
Answer:
x=5
Step-by-step explanation:
4x+3=23
4x=23-3
4x=20
x=20/4
x=5
What is the equation of the line that passes through the point (-6, 6) and has an
undefined slope?
Answer:
x = -6
Step-by-step explanation:
undefined slope is always an x = line
so just do x = whatever x is
hope this helps <3
What is the answer???
Answer:
A. Translation, Translation
Step-by-step explanation:
The pre-image was translated 1 unit up then it was translated 4 unit to the right.
Lines AB, CD, and LK intersect as shown in the diagram . Find M
the last one is the answer
The measurement of ∠ CSK = 110.2°
What is Parallel line?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given that Lines AB, CD, and LK intersects at R and S respectively,
m∠LRB = (3x - 2)° and m∠RSC = (2x - 5)
m∠LRB = m∠CSK → (Alternate exterior angles)
m∠CSK + m∠RSC = 180° → (Linear pair angles)
Therefore, m∠LRB + m∠RSC = 180°
(3x - 2)° + (2x - 5) = 180°
5x - 7 = 180°
5x = 187°
x = 37.4°
So, m∠CSK = (3x - 2)°
(3x - 2)° = 3*37.4 - 2
m∠CSK = 110.2°
Hence, The measurement of ∠ CSK = 110.2°
For more references on Parallel lines, click;
https://brainly.com/question/16701300
#SPJ2
20. Find the solution to the system of equations by substitution.
x+y=6
3x-y= -22
Please solve step by step
Answer:
need more info sorry
Step-by-step explanation:
Right=20 points and I'll answer one of urs
Answer:
40
Step-by-step explanation:
so (48/120)× 100%=40%
35 - 21 + 6m write a equivalent expression for this
Answer:
6m+14Step-by-step explanation:
[tex]35 - 21 + 6m[/tex]
Simplify : Subtract
[tex]35 - 21 = 14 \\ 14 + 6m \\ 6m + 14[/tex]
cups of water fill 4 identical water bottles. How many cups fill each bottle?
Answer:
.8 or 4/5ths cup
Step-by-step explanation:
divide number of bottles by cups
4 1/2 is 4.5
5 5/8 is 5.625
4.5/5.625 = .8 (or 4/5ths)
Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willie spent $116 on 12 daylilies and 4 pots of ivy. Anjali spent $60 on 6 daylilies and 3 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy
Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2
Step-by-step explanation:
Step 1
let day lilies be rep as d
and ivy be represented as i
So that The expression for what Willie spent on 12 day lilies and 4 pots of ivy = $116 be
12 d+ 4i = 116 ---- equation 1
and for Anjali spending $60 on 6 day lilies and 3 pots of ivy be
6d+ 3i = $60------ equation 2
Step 2 --- Solving
12 d+ 4i = 116 ---- equation 1
6d+ 3i = $60------ equation 2
Multiply equation 2 by (2) and subtracting equation 1 from it
12d+ 6i= 120
--12 d+ 4i = 116
2 i= 4
i = 4/2 = 2
TO find d, putting the value of i = 2 in equation 1 and solving
12d+ 4(2) = 116
12d= 116-8
12d= 108
d= 108/12= 9
Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2
10 builders can build a house in 20 days. How many builders
will you need build the house in 10 days?
Answer:
20 builders
Step-by-step explanation:
Answer: 20 builders.
Step-by-step explanation: For 10 builders to build a house in 20 days, the ratio is 1:2. For builders to build a house in 10 days, the ratio is x:10. You then cross multiply 1:2 and x:10. Then x=20 so 20 builders.
How much time has passed?
Start time: 4:45 a.m. End time: 7:25 a.m.
Answer:
2 hours and 40 mins i think
Step-by-step explanation:
Find the Slope of the line that passes through the given coordinates. Enter as a fraction please
(11,7) and crosses the y-axis at 17
Answer:
follow the steps and you'll understand the question
A rectangular dog cage has a length of 4 1/2 feet and a width of 3 3/7 feet. What is the area of the cage?
(Help please)
Step-by-step explanation:
Area of rectangle =height×base
4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7
Help due today will give brainlist
Answer:
4 fancy and 5 plain
Step-by-step explanation:
Translate the following into an algebraic expression: "five less than the product of 7 and
the square root of a number" can be written as:
05-713
o 5 - 70
O TX-15
073-5
Answer:
7√x - 5
Step-by-step explanation:
Let the number be x
The product of 7 and the square root of a number is expressed as;
7 * √x
= 7√x
five less than the product of 7 and the square root of a number will be expressed as;
7√x - 5
Hence the required expression is 7√x - 5
Florance made an apple pie, she used 7/8 of a tablespoon of cinnamon and 3/4 of a tablespoon of nutmeg
Answer:
1 5/8
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.
Answer:
60 on delta math
Answer:
60
Step-by-step explanation:
delta math answer
Please help I’ll mark you as branlst
Answer:
6
Step-by-step explanation:
Since the degree of the angle is 45, we know that the triangle is isosceles. That means that the sides of the triangle, not including the hypotenuse, has a length of 3√2.
Using the Pythagorean theorem, which is a^2 + b^2 = c^2, we have (3√2)^2 + (3√2)^2 = c^2.
Note: c is the hypotenuse of the triangle.
18 + 18 = c^2
= 36 = c^2
Therefore, c = 6.
Convert 5 hours to minutes.
Answer:
300 min
Step-by-step explanation:
60 times 5 :)
(5) Find the value of the variable. The diagram is not to scale.
Answer:
x = 19 degrees
Step-by-step explanation:
180 - 114 = 66
180 - 66 = 114
Other triangle angle is 114 degrees
114 + 47 = 161
180 - 161 = 19
x = 19 degrees
A) SSS
B) SAS
C) Not enough information
D) AAS
Answer:
c
Step-by-step explanation: