Answer: 0.375
Step-by-step explanation:
Given the following :
Both teams have an equal probability of winning = 0.5
Find the probability that both teams are tied after 4 games, that is 2-2 ( this means each team has exactly 2 successes and 2 losses).
This problem can be modeled using a binomial probability :
P(x) = nCx * p^x * (1-p)^(n-x)
x = number of successes = 2
P = probability of success = 0.5
(1-p) = probability of failure = 0.5
n = number of trials = 4
P(x = 2 ) = 4C2 * 0.5² * 0.5^(4-2)
P(x = 2) = 6 * 0.5² * 0.5²
P(x = 2) = 6 * 0.25 * 0.25
P(x = 2) = 0.375
Divide. 1/3 ÷ 4/5 Express your answer in simplest form. Enter your answer in the box.
1/3 divided by 4/5 = 5/12
SOMEONE HELP PLEASE.............
What is the x-coordinate of the solution of the following system of equations?
3x + y = 6
x - y = 6
A. -3
B. 0
C. 3
Answer:
(3,-3) or x = 3
Step-by-step explanation:
I solved this problem with the help of graphing, you would start by sketching each equation. The x-value of the point where both equations intersect would be solution to your equations.
what is the answer to 0.15 = y - 0.45
Answer:
0.6
Step-by-step explanation:
In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle A.
Answer:
May I ask why you are you doing this math in college?
Step-by-step explanation:
Which angles are right?
Check all that apply.
A. GFE
B. MLK
C. EFH
D. KLJ
Answer:
<MLK
<EFH
<KLJ
Step-by-step explanation:
Each Is At A Right Angle, I Just Answered This On My Quiz.
You are 8 inches below the balance point height. write an integer that represents your height.
Answer: -8
Step-by-step explanation:
Your below so the integer will be negative.
(2/3)to the power of 4=16/81
how to get this answer?
What’s this I need help with math...
Answer:
3^12 = 531441
Step-by-step explanation:
For this problem, it's important to understand what is meant by the exponents. Notice, there are two sets of separators, a parentheses and a bracket. When you have powers to powers you multiply, hence 2 * 3 * 2 is 12. The given expression can also be broken down like this:
[ ( 3^2 ) ^ 3 ] ^ 2
= [ 3^2 * 3^2 * 3^2 ] ^ 2
= 3^2 * 3^2 * 3^2 * 3^2 * 3^2 * 3^2
And we can apply the rule, when you are multiply powers of like bases you add the exponents. Hence:
3 ^ (2 + 2 + 2 + 2 + 2 + 2)
= 3^12
Either way of power manipulation, you end with the same result of 3^12. Hope this helps.
Cheers.
If a plant grows 1/4 cm everyday for 21 days, what is the total amount of growth PLS HELP
An entire music store is offering a deal : buy 2 albums and revive a third album for $8.99, another album for $12.95. And a third album for $5.99. How much will joe pay for all 3 albums?
Step-by-step explanation:
If I'm not wrong it should be 27.93
Solve for x.
-2 (x + 1/4)+1=5
Enter your answer as a fraction in simplest form in the box.
X =
Answer:
[tex]x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}[/tex]
Point B lies on AC between A and C. If AB = 8 and AC = 10, find BC.
(x+5)(x-5) Multiplying special case polynomials
Answer:
x^2 - 25 ✔
Step-by-step explanation:
(x+5)(x-5)
x(x-5) +5(x-5)
x^2 - 5x + 5x - 25
x^2 - 25
Need help on this question please
===========================================================
Explanation:
Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.
The two angles form a 180 degree straight angle
(4x+13) + (9x-2) = 180
4x+13 + 9x-2 = 180
(4x+9x) + (13-2) = 180
13x + 11 = 180
13x+11-11 = 180-11 .... subtracting 11 from both sides
13x = 169
13x/13 = 169/13 .... dividing both sides by 13
x = 13
We can verify this by noticing that
4x+13 = 4*13+13 = 65
9x-2 = 9*13-2 = 115
So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.
-----------------
The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary
Let's use x = 13 to find the value of y
(9x-2) + (6y-1) = 180
9x-2+6y-1 = 180
9x+6y-3 = 180
9*13+6y-3 = 180 .... plug in x = 13
117+6y-3 = 180
6y+114 = 180
6y+114-114 = 180-114 .... subtract 114 from both sides
6y = 66
6y/6 = 66/6 ...... divide both sides by 6
y = 11
To help confirm,
6y-1 = 6*11-1 = 65
which adds onto the (9x-2) = 115 degree angle to get 180.
-----------
Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.
(03.01)
Factor completely 2x^5 + 10x^4- 22x^3
Answer:
Step-by-step explanation:
2x^3(x^2 + 5x - 11)
A claim is made that expression 1 and expression 2 are equivalent. A student is asked to provide proof that the claim is true.
Expression 1: −3(2x−6y)−2x
Expression 2: 18y−8x
Which of the following options could the student use to provide proof that the two expressions are equivalent? Select TWO that apply.
A
They could multiply expression 2, (18y−8x) by −3 and then compare their result to expression 1.
B
For expression 1, they could multiply (2x−6y) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.
C
For expression 1, they could multiply (2x) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.
D
They could substitute in the values x=1 and y=2 into both expressions, solve the expressions, and determine if both expressions result in the same value.
E
They could substitute in the values x=1 and y=1 into expression 1 and x=2 and y=2 into expression 2. Then, they could solve both expressions and determine if both expressions result in the same value.
Answer:
The answer is B
Answer:
The answer is B and A
Step-by-step explanation:
Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
Answer:
54.6
Step-by-step explanation:
42 = 70%
100% - 70% = .30%
42 x 1.3 = 54.6
I need help on 13&14
Answer:
[tex](\sqrt{3} + 6i)(\sqrt{3} - 6i)[/tex]
Simplifies to:
[tex]36i^2 + 3[/tex]
[tex]= 39[/tex]
is 5x-7+3x and 3x-7+5x equivalent
Answer:
yes
Step-by-step explanation:
5x-7+3x =8x-7
3x-7+5x=8x-7
Since both result are the same, hence the functions are equal
Given the functions 5x-7+3x and 3x-7+5x, we are to check if the functions are equal.
For the function
5x-7+3x
= 5x+ 3x - 7
= 8x - 7
For the function 3x - 7 + 5x
Collect the like terms
3x + 5x - 7
8x - 7
Since both results are the same, hence the functions are equal
Learn more here: https://brainly.com/question/11496139
The square of root of 7/8?
Answer:
[tex]\frac{\sqrt{14} }{4}[/tex]
Your target number of calories is 2400 per day to lose weight, but you are consuming 3200 calories per day. Your target is what percentage of your consuming calories?
Answer:
this is the answer that i got 1.333333333
Step-by-step explanation:
3200 divided 2400 = 1.333333333
Answer:
Step-by-step explanation:
Find the sum. 4.88 + 1.6 *
Answer:
6.48
Step-by-step explanation:
Start with:
[tex]4.88[/tex]
+ [tex]1.6[/tex]
I could understand why you may be confused, so one trick is to add a [tex]0[/tex] next to the [tex]6.[/tex]
Rewrite:
[tex]4.88[/tex]
+ [tex]1.60[/tex]
Add.
[tex]6.48[/tex]
An insurance company offers two types of insurance: health insurance and life insurance. Let X be the annual claim on the health insurance and Y be the annual claim on the life insurance. The joint density function of X and Y is: Find the probability that the total claims exceed 0.5 but is less than 2 and the claim on the life insurance is less than 1.5.
The joint density equation is missing in the question. The equation is [tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]
Probability is 0.59
Step-by-step explanation:
We have
x -- denotes the annual claim health insurance
y -- denotes the annual claim life insurance
And joint density of x and y is given to us
[tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]
Event that the claim exceeds 0.5 but less than 2 can be written as 0.5≤ x+y ≤2
and claim of life insurance less than 1.5 can be written as 0 ≤ y ≤ 1.5
Required probability
= P( 0.5≤ x+y ≤2 ∩ 0 ≤ y ≤ 1.5 )
Lets plot this, to find the common region
For common region
when 0≤ x ≤ 0.5, then 0.5 ≤ y ≤ 1.5 ---- for region I
when 0.5≤ x ≤ 1, then 0 ≤ y ≤ 2-x ---- for region II
The required probability
= [tex]\int_{0}^{0.5} \int_{0.5-x}^{1.5}2x^3 dy dx+\int_{0.5}^{1} \int_{0}^{2-x}2x^3 dy dx[/tex]
= [tex]\int_{0}^{0.5} 2x^3[\int_{0.5-x}^{1.5}dy] dx+\int_{0.5}^{1} 2x^3[\int_{0}^{2-x}dy] dx[/tex]
= [tex]\int_{0}^{0.5} 2x^3(1.5-0.5+x) dx+\int_{0.5}^{1} 2x^3 (2-x) dx[/tex]
= [tex]\int_{0}^{0.5}2x^3 dx+\int_{0}^{0.5}2x^4 dx+\int_{0.5}^{1}4x^3 dx-\int_{0.5}^{1}2x^4[/tex]
= [tex][\frac{2x^4}{4}]_0^{0.5}+[\frac{2x^5}{5}]_0^{0.5}+[\frac{4x^4}{4}]_{0.5}^1-[\frac{2x^5}{5}]_{0.5}^1[/tex]
= [tex]$\frac{1}{32}+\frac{1}{80}+\frac{1}{16}-\frac{31}{20}$[/tex]
= 19/32
=0.59
Use the distributive property to fill in the blanks below.
(8 x 5) + (8 x 2) = 8 x (_ + _)
[tex]\boxed{\sf ab+ac=a(b+c)}[/tex]
[tex]\\ \rm\longmapsto (8\times 5)+(8\times 2)[/tex]
[tex]\\ \rm\longmapsto 8(5+2)[/tex]
[tex]\\ \rm\longmapsto 8(7)[/tex]
[tex]\\ \rm\longmapsto 56[/tex]
Given f(x)=3x-1 find f(-1)
Answer:
f( - 1) = - 4Step-by-step explanation:
f(x) = 3x - 1
To find f(-1) substitute the value of x that's
- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve
That's
f( - 1) = 3(-1) - 1
= - 3 - 1
We have the final answer as
f(-1) = - 4Hope this helps you
(1 point) Consider the system
2x + y = 3
-8x + ay = -11
Find a value of a so that the system is inconsistent. If there is no such value, write none.
a =
Answer:
a=-4
Step-by-step explanation:
1) Isolate x for 2x+y=3 which will give us x=3-y/2
2) Substitute 3-y/2 in the equation -8x+ay=-11
3) Then we simplify
4) Isolate for y
5)Then we simplify in order to get -4
The owner of an appliance store bought 15 washers at $279 each and 18 dryers at $229 each. How much did the dealer spend in all?
Answer:
8307 dhdhdhsjs
Step-by-step explanation:
vahahahwhahehe
Answer: 8,307$
Step-by-step explanation:
279$ x 15 = 4185$
229$ x 18 = 4122$
4185$ + 4122$ = 8,307$
The Booster Club has a goal of raising at least $300. The Club has already raised $175. The Booster Club is
sponsoring a pancake breakfast and charging $3.00 per ticket.
What inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal?
Answer:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
Step-by-step explanation:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that The Booster Club has a goal of raising at least $300.
The Club has already raised $175
The Booster Club is sponsoring a pancake breakfast and charging $3.00 per ticket.
175+3t≥300
One hundred seventy five plus three times t greater than or equal to three hundred.
We have used greater than or equal to in inequality because in data given atleast.
Hence, 175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 13 Shift the graph of y = x2 right 13 units. Shift the graph of y = x2 left 13 units. Shift the graph of y = x2 down 13 units. Shift the graph of y = x2 up 13 units.
How do you do question #5?
Step-by-step explanation:
If two variables x and y are independent, then:
P(x and y) = P(x) P(y)
Or, in terms of conditional probability:
P(x given y) = P(x)
From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.
From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.
Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.