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.
Find the circumference of a circle that has a diameter of 5 inches. Use for 22/7 pi. 15 3/7 in. 15 5/7 in. 15 in. 22/35in.
Answer:
15.7
Step-by-step explanation:
3.14=pi
Circumference= pi × Diameter
5×3.14= 15.7
Distributive property to remove parantheses -8(-6v+2x-4)
Answer:
48v - 16x + 32
Step-by-step explanation:
whats bigger 1/4 1/10
Answer:
1/4
Step-by-step explanation:
its bigger
Answer:
1/4 is greater
PLZ HELP IM BEGGING
Answer:
-x+y= -14 (get this equation to where you can easily plug it in for a variable)
y= x -14
5x +6y =26 (plug the value above in for y and then solve)
5x + 6 (x-14) = 26 (use the distributive property)
5x +6x - 84 = 26 (combine like terms on the left side)
11x - 84 =26 (add 84 to both sides)
11x = 110 (divide both sides by 11 to isolate the x-variable)
x= 10 (this is the value for x. plug it into the easier equation and solve)
-(10) +y = -14
y= -4
(10, -4) (this is the solution for the system of equations)
6.A circle has a diameter of 11 inches. What is the circumference of the circle using ≈ 3.14? = . Single choice.
Answer:
Circumference of the circle = 34.54 inches
Step-by-step explanation:
Explanation
Given that diameter of the circle
d = 11inches
The radius of the circle
[tex]r = \frac{d}{2} = \frac{11}{2} = 5.5[/tex]
Circumference of the circle
= 2πr
= 2×3.14×5.5
= 34.54
Final answer:-
Circumference of the circle = 34.54 inches
I need help ASAP please
Answer:
Step-by-step explanation:
p1=(2,4) and p2=(5,6)
use slope formula to find the slope
[m=y2-y1 / x2-x1)]
m=6-4 / 5-2
m=2 / 3
use point-slope formula [y-y1=m(x-x1)] with either given point and work but since they have a 5 and a 6 in the their answer use p2
y-6=2/3(x-5)
the last choice looks good
Samantha types 40 words per minute. How many words can Samantha type in 8 minutes?
A. 48 words
B. 240 words
C. 320 words
D. 360 words
Its 320 correct ?
Answer:
Yes, 320 is the correct answer
Step-by-step explanation:
you multiply 80 x 4, then you get ur answer, 320.
Answer:
C. 320 (correct)
Step-by-step explanation:
If Samantha can type 40 words per minute, to find the number of words Samantha can type in 8 minutes, multiply 40 by 8.
40×8=320
Therefore, Samantha can type 320 words in 8 minutes.
I hope this helps!
Nguyen climbed one fifth of a mountain in one tenth of a month. Find the rate in mountains per month.
Answer:
2 mountains per month
Step-by-step explanation:
1/5 of a mountain : 1/10 of a month
multiply both sides by 10
10/5 = 2 mountains : month
Answer:
hdwuqdhuwehduewhud
Step-by-step explanation:
pay back
4.5m is ____ % of 90 cm; 90 cm is ____ % of 4.5m
Answer:
4.5m is 450%
90cm is 45%
Step-by-step explanation:
please helppp i’m on a time limit
Answer:
It is 3 because it is both in red and blue and that is the only section that shows it’s in both
Answer:3
help please it's very much appreciated
Answer:
62.5
Step-by-step explanation:
hope this helps
Round the following numbers to the tenths place.
1. 1295.9549
I will mark brainliest 20 points! There were more private schools in the Republic of Texas then there were public schools.
Please select the best answer from the choices provided.
True
False
Answer:
It's true
Step-by-step explanation:
Hope it helps!!!!
Which statement about this product is true? 0.44×(−5 3/4)
It is equal to 0 because 0.44 rounded to the nearest whole number is 0, and 0 times any number is 0.
It is equal to −534 because 44 is equal to 1, and 1 times any number equals that number.
It is greater than −3 because 0.44×534 is less than 12×6.
It is less than −534 because multiplying by a number less than 1 gives a smaller number.
Answer:
A.)
Step-by-step explanation:
403, 395,387,...
Find the 36th term.
Answer:
n=36
a=403
d=395-403=8
an=a+(n-1)d
a36=403+(36-1)395
=14228
Answer:
the answer is actually 123
Step-by-step explanation:
On a summer road trip, a family
traveled 3,263.04 miles
. The family
traveled 16 days by car and drove the
same distance each day
. How many
miles did the family travel each day?
Answer:
203.94
Step-by-step explanation:
just divide the number of miles by the days :DDDDD
help with this bounds question please
Answer: 6.68km/litre
Step-by-step explanation:
Distance(d) = 187km ( to 3 significant figures)
Petrol(p) = 28litres ( to 2 significant figures)
A number, x, rounded to 1 significant figure is 200
Write down the error interval for x
Calculating the lower and upper bound for both 'd' and 'p'
Upper bound 'd' = 187.5km
Lower bound 'd' = 186.5km
Upper bound 'p' = 28.5km
Lower bound 'p' = 27.5km
Therefore,
Petrol consumption (C) = d/p
Upper C = 187.5 / 28.5 = 6.57894
Lower C = 186.5 / 27.5 = 6.781818
Accuracy answer for C = (6.57894 + 6.781818) / 2 = 6.680379
= 6.68km/ litre ( to 3 significant figures)
To achieve a reasonable level of accuracy, the upper and lower bounds of P and D was used to calculate C, which was then averaged.
Using 3 significant figures ensure that we capture the C better, instead of early rounding.
HELP PLEASE WHAT IS THIS
Answer:
B
Step-by-step explanation:
vertical line test means draw lots of vertical lines and see if they pass through two or more points
if they do, the graph is not a function
for example, x= 0 passes through two points
so it is not a function
-3x+7y=5x+2y Please HELP Complete the missing value in the solution to the equation.
(-5,_)
Answer:
(-5, -8); the missing value is -8
Step-by-step explanation:
First, you need to simplify the given equation to isolate y
1: -3x + 7y = 5x + 2y (Given)
2: 7y = 8x + 2y (Add 3x to both sides)
3: 5y = 8x (Subtract 2y from both sides)
4: y = 8/5x (Divide both sides by 5)
Now, you can use this to solve for the missing y in value set (-5, y)
where y = 8/5x and x = -5,
y = 8/5(-5)
y = -8
so, the missing value is -8
(WILL GIVE BRAINLIEST IF YOU SHOW THE WORK!) The Jones family just ate at a new restaurant and the bill came to $52.75. They want to leave a 15% tip for the waiter. How much is the tip? What is the total amount that they spent including the tip?
Answer:
Total: $60.66
Step-by-step explanation:
tip: $52.75 x 0.15 = $7.91
tip+bill: $52.75 + $7.91 = $60.66
How are fractals developed
Answer:
Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. ... Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.
Step-by-step explanation:
answer the pic below
Answer:
second answer - think im right
Step-by-step explanation:
Answer:
B
The second answer
Step-by-step explanation:
please mark me as brainliest
Can someone plzz help me with this? To put it on order on the number line??
Answer:
1/4 1/2 1.5 1 3/4 1.75
Answer:
1/4, 1/2, 1.5, 1 3/4, 1.75
Step-by-step explanation:
1 3/4 and 1.75 is the same tho
What is a relation and what makes it different from a function
Step-by-step explanation
A relation is any set of ordered pairs. A function is a set of ordered pairs where there is only one value of y for every value of x.
hope this helps ;-)
A TV has an original price of $549. Enter the new price after the given percent of
change. 30% increase
Answer: $713.7
Step-by-step explanation:
First, multiply the original price by the percentage ( In this case, 549 x .30)
Now your sum is $164.7 Add that to the original price and you get your answer.
Tyler's grandma purchased a savings bond for him when he was born. The bond was bought for $500.00. The value of the savings bond increases by 5% a year. Tyler's grandma wants Tyler to use it for college, so he is not allowed to touch it until he is 18.
How much money will Tyler have when he is 18
Answer: 950 dollars
Step-by-step explanation:
5% of 500 dollars is 25 dollars, so since 5% is 25 dollars, multiply that by how many years he can have it (18). So 18 * 25 = 450. 450 added to the starting 500 dollars is 950 dollars. Your welcome, I'm new so glad I could help.
In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E = (4x-13)^{\circ}m∠E=(4x−13) ∘ . Find \text{m}\angle C.M∠C.
Answer:
m∠C = 44°
Step-by-step explanation:
In ΔCDE,
m∠C=(4x−16) ∘
m∠D=(6x−1) ∘
m∠E=(4x−13) ∘ .
The sum of angles in a triangle = 180°
Step 1
We solve for x
m∠C + m∠D + m∠E
(4x−16)° + (6x−1)° + (4x−13)° = 180°
4x - 16 + 6x - 1 + 4x - 13 = 180°
4x + 6x + 4x -16 - 1 - 13 = 180°
14x - 30 = 180°
14x = 180+ 30
14x = 210
x = 210/14
x = 15
Step 2
Find m∠C
m∠C = (4x−16)°
m∠C = (4 × 15 - 16)°
m∠C = (60 - 16)°
m∠C = 44°
19 = 4x + 3 *
Plz, help me with this!
Answer:
x=4
Step-by-step explanation:
19 = 4x+3
Subtract 3 from each side
19 -3 =4x+3-3
16 = 4x
Divide each side by 4
16/4 = 4x/4
4 =x
Answer:
x=4
Step-by-step explanation:
19= 4x+3
19-3= 4x
16= 4x
x= 16/4= 4
x= 4
hope it helps! please mark me brainliest
thank you!! have a good day ahead
Indicate whether the measures 3.1, 4.8, and 10.2 can be the side lengths of a triangle. If they can, classify the triangle.
The measures 3.1, 4.8, and 10.2 cannot be the side lengths of a triangle.
What is triangle inequality?"It states that the sum of any two sides must be greater than the third side."
For given question,
we have been given the measures 3.1, 4.8, and 10.2
We need to check whether given measures can be the side lengths of a triangle.
First we check whether the given measures obey triangle inequality or not.
3.1 + 4.8 = 7.9
7.9 < 10.2
This means, the measures 3.1, 4.8, and 10.2 do not obey triangle inequality
Therefore, the measures 3.1, 4.8, and 10.2 cannot be the side lengths of a triangle.
Learn more about the triangle inequality here:
https://brainly.com/question/1163433
#SPJ2
Amanda opened a savings account with a $550 deposit. Her money earns 3.8% simple interest per year. How much interest will she earn on her deposit in 5 years?