Answer: Acute angle
Step-by-step explanation:
because it is at a 62 I think angle
Which equation is equivalent to 1/5x - 3 = 2/3
A : x-15=10
B : 3x-15=10
C : 3x-45=10
D : 5x-45=3
Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?
Answer:
11/68 or 0.1618Step-by-step explanation:
Balls
Black - 6White - nOptions of getting 3 balls
1. White, black, black2. Black, white, black3. Black, black, whiteProbability P(n) in each option
1. WBB
P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)P(n) =
P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)2. BWB
P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)P(n) =
P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)3. BBW
P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)P(n) =
P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)Final equation is same for each case:
P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
See attached graph
At both values n we get P(n):
P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)Determine 0.929229222922229222229
Answer:
0.93
Step-by-step explanation:
Prove: The square of a number that is
one more than a multiple of 3 is also one
more than a multiple of 3.
n +
(3n + 1)2 = [ ? ]n? +
1([ ]n2 +
=
)n) +
- 1 more than a multiple of 3
Let 3n + 1 denote the "number" in question. The claim is that
(3n + 1)² = 3m + 1
for some integer m.
Now,
(3n + 1)² = (3n)² + 2 (3n) + 1²
… = 9n² + 6n + 1
… = 3n (3n + 2) + 1
… = 3m + 1
where we take m = n (3n + 2).
5. Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into
3 jump ropes. Each of the 3 jump ropes will be the same length. Write a
division sentence using compatible numbers to estimate the length of
each rope
Answer:
29.8÷3=9.93333333333
Step-by-step explanation:
*note* the 3 is a repeating number
Helpppppppp.................
P+45267=87012 evaluate
the target temperature for a laboratory is 71° f. it can vary by up to 3°. if t is the temperature in the laboratory, which of the following inequalities represents this situation?
Answer:
|t-71| < 3
Step-by-step explanation:
The inequalities represents this situation is | t - 71 | < 3 .
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size
According to the question
The target temperature for a laboratory = 71° f.
it can vary by up to 3°. (highest limit)
the temperature in the laboratory represented by t
Now,
inequalities represents this situation is
| t - 71 | < 3
Hence, the inequalities represents this situation is | t - 71 | < 3
To know more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
I'm supposed to solve for PQ. it's pythagorean theorem.
Answer:
29 i think
Step-by-step explanation:
pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29
John has a rectangular field that is 12 meters by 6 meters, if he wants to divide the field into 8 sections, what would the area per section be?
Answer:
9 Meters Squared
Step-by-step explanation:
First multiply 6 by 12 to find the area of the whole field:
[tex]6*12=72[/tex]
Then divide that area by 8:
72/8=9
So:
9 meters squared
who ever helps gets brainliest.
Answer:
B is the answer
Step-by-step explanation:
0.40 is the correct answer
If the angle tis 42 and RS is 9 find QS. Round to the nearest tenth.
Q
R
Answer:
QS is 12.1
Step-by-step explanation:
9 / sin 48 = QS / sin 90
QS = 9 / sin 48 = 12.1
What is the standard deviation of this data set?
12, 14, 9, 11, 10, 15, 16, 12, 7, 14
Answer:
The standard deviation is 2.6832815729997
Step-by-step explanation:
SD^2=(12-12)^2+...+(14-12)^2/10
SD^2=72/10
SD^2=7.2
SD=squeare root of 7.2
SD=2.6832815729997
Solve the expression (w - z)²
Is -8 a rational number
Answer:
yes
Step-by-step explanation:
Answer:
yea
Step-by-step explanation:
because it is
Find g(x), where g(x) is the translation 6 units up of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
g(x) = x²+6
Step-by-step explanation:
g(x) = f(x)+6 = x²+6
7.43+9.25 Show Your Work
Answer:
16.68
Step-by-step explanation:
just add them like regular numbers then just put the decimal
Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three sides?
What is the length of the two sides that have the same length?
Answer: 5
Step-by-step explanation:
x = common side length
2x + (2x - 6) = 14
4x - 6 = 14
4x = 20
x = 5
Write the point-slope form of an equation of the line through the points (-4, 7) and (5, -3).
A. y−5=−109(x+3)
B. y−7=−109(x+4)
C. y+3=−109(x+5)
D. y+4=−109(x−7)
Answer:
y+4=–109(x-7)
please mark as brainliest
I need to find the measure of PTR
Answer:
∠ DTR = 109°
Step-by-step explanation:
∠ DQT and ∠ TRS are alternate angles and are congruent, then
∠ TRS = 68°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ DTR is an exterior angle of Δ TRS , then
∠ DTR = 41° + 68° = 109°
what is the domain of the function on the graph?
Answer:
c
Step-by-step explanation: because
Here's a graph of a linear function. Write the equation that describes that function.
Answer:
2/3x + 1
Step-by-step explanation:
The y-intercept is 1. you can see that when x increases three, y increases 2.
If (x + 1)(x - 5) = -9, then which of the following statements is true?
A x+1=0 or x-5=0
B x+1=9 or x-5=-9
C x-2=0
Answer:
B, although i believe that you wrote wrong, it should be x+1= -9, instead of positive 9
Step-by-step explanation:
12- (-5) + (-4 ) calculate
FIND THE MEASURE OF ANGLE 2 PLEASE HELP ASAP!
Answer:
We know that the figure has a symmetry
angle 1 = angle 2
angle 1 =180°-(18°+90°) = 180° - 108°=72°
Therefore, angle 2 =72°.
find the slope of a line parallel to the line through thepoints ) (10, 7) and (-4, 7)
Answer:
0
Step-by-step explanation:
7-7 over -4-10
That is 0/-14, which simplifies to 0
At Manning's favorite ice cream shop, a customer can have a cake or sugar cone, vanilla, chocolate, or strawberry ice cream, and chocolate or rainbow sprinkles. How many different ice cream cones can be ordered if the customer chooses 1 cone, 1 type of ice cream, and 1 type of sprinkles?
Answer:
12
Step-by-step explanation:
2-cones
3-ice cream flavors
2-sprinkles
2 x 3 x 2 = 12
plz mark brainliest :)
You should try to limit your overall debt to 50% of your gross monthly
Incomplete question.
What is the value of 25 × 33?
please please help
Answer:
825
Step-by-step explanation:
So When we multiply we multiply the 3 by 5 first, then the 3 by 2. That will give you 75. Then, Add a zero below 75. Multiply the other 3 by 5, and the 3 by the two. That will give you 750. Add 75 and 750 together and you get: 825
what is $7.50 with a added 6% sales price.
Answer:
0.0125 dollars per sales
hope this helps
Step-by-step explanation:
Answer:
7.89 i believe i looked it up