Answer:
0.667
Step-by-step explanation:
Given that :
Head is twice more likely to occur than a tail.
P(head) = p(H) = 2/3
P(tail) = p(T) = 1/3
If coin is tossed 3 times :
P(H = 0) :
1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail
(1/3) * (1/3) * (1/3) = 1 / 27
P(H= 1)
HTT, THT, TTH
(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)
= 2/27 + 2 /27 + 2/27
= 6/27 = 2/9
P(H=2)
HHT, HTH, THH
(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)
= 4/27 + 4/27 + 4/27
= 12 / 27
= 4 /9
P(H = 3)
HHH
(2/3 * 2/3 * 2/3)
= 8 / 27
X ___ 0 ___ 1 ____ 2 ____ 3
P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27
E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2
E(X) = 2
Var(X) = Σx²p(x) - E(X)²
= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2
= 4.667 - 4
= 0.667
Hence, Var(x) = 0.667
Ryanne is 14. Her brother’s age is three more than half her age. How old is her brother?
Answer:
10
Step-by-step explanation:
because
14/2+3=10 this is the explanation
5 yds=? Ft (PLEASE HELPP!!!)
Answer:
5 yards = 15 feet
Step-by-step explanation:
Following the formula that for every 1 yard we have 3 feet.
x = amount of yards
y = amount of feet per yard
z = amount of feet total
[tex]x * y = z[/tex]
Substitute:
[tex]5 * 3 = z[/tex]
[tex]15 =z[/tex]
Final answer:
5 yards = 15 feet
Simplify: 5(2n + 7)
Help please
Answer:
10n+35
Step-by-step explanation:
5*2n +5*7
Answer:
[tex]\boxed {10n + 14}[/tex]
Step-by-step explanation:
Solve the following expression:
[tex]2(5n + 7)[/tex]
-Use Distributive Property:
[tex]2(5n + 7)[/tex]
[tex]\boxed {10n + 14}[/tex] (final answer)
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction
Answer:
D. [tex] = \frac{b}{a} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{b^{-2}}{ab^{-3}} [/tex]
Required:
Assuming a ≠ 0, b ≠ 0, find the expression equivalent to the given expression.
SOLUTION:
[tex] \frac{b^{-2}}{ab^{-3}} [/tex]
Recall the exponent rule => [tex] \frac{x^{a}}{x^{b}} = x^{a - b} [/tex]
Applying the exponent rule, we would have:
[tex] \frac{b^{-2 -(-3)}}{a} [/tex]
[tex] = \frac{b^{-2 + 3}}{a} [/tex]
[tex] = \frac{b^{1}}{a} [/tex]
[tex] = \frac{b}{a} [/tex]
Thus, the equivalent expression of [tex] \frac{b^{-2}}{ab^{-3}} [/tex] = [tex] \frac{b}{a} [/tex]
Answer:
d
Step-by-step explanation:
Brainliest to RIGHT answer
Answer:
It's C
Step-by-step explanation:
How tall are u in feet im 5*8?
Im a 14 billion year old space lady and im 8 feet tall with long flowing hair
Answer:
Well if your talking about height...im 5'1/4
Yeah i pretty short UwU
Step-by-step explanation:
Give the values of the coefficients [a], [b], and [c] regarding the product in the form of ax^2+bx+c. Use "0" if the term isn't present.
==================================================
Explanation:
Expand out the expression using the FOIL rule
(x+7)(x-7)
x^2 - 7x + 7x - 49
1x^2 + 0x - 49
We see that a = 1, b = 0, c = -49
-------------
Another way to expand is to do the following
(x+7)(x-7)
y(x-7) .... let y = x+7
xy - 7y .... distribute
x( y ) - 7( y )
x( x+7 ) - 7( x + 7 ) ... replace y with x+7
x^2 + 7x - 7x - 49 .... distribute
1x^2 + 0x - 49
We get the same result.
-------------
Lastly, a shortcut can be used as yet another method to expand.
The shortcut is the difference of squares rule
(a + b)(a - b) = a^2 - b^2
In this case, a = x and b = 7, so,
(a + b)(a - b) = a^2 - b^2
(x + 7)(x - 7) = x^2 - 7^2
(x + 7)(x - 7) = x^2 - 49
(x + 7)(x - 7) = 1x^2 + 0x - 49
(a) The area of a rectangular field is 6536 m2.
If the length of the field is 86 m, what is its width?
ANSWER ASPPP PLS
Answer:
Required Answer:-Let
the breadth =x
Length=86mArea=6536m^2As we know that in a rectangle
[tex]{\boxed{\sf Area=lb}}[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf 86\times x=6536[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 86x=6536 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{6536}{86}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=76 [/tex]
[tex]\therefore[/tex][tex]Breadth=76m [/tex]
a bus is full of passengers. if you count them by either twos, threes, or fives, there is one left. if you count them by seven there will be none left. find the least number of passengers in the bus?
PLEASE HELP FAST The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund. Each year the fund will decrease by 5%. Determine the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years.
A.
$27,550
B.
$22,641
C.
$24,435
D.
$24,436
Answer:
c. $24,435
Step-by-step explanation:
[tex]30000(1 - .05)^{4} = 24,435.19[/tex]
The amount of money, to the nearest dollar, that will be left in the sports fund after 4 years is $24,435 option (C) is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund.
To find the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years:
The money left after 4 years = 30000(1 - 0.05)⁴
After solving:
The money left after 4 years = $24,435
Thus, the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years is $24,435 option (C) is correct.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
In what quadrant of the complex plane is -30-40i
Find two numbers that you can multiply to get a product of 0.56. 0.6 0.7 0.8 0.9 6 7 8 9
Answer:
0.7 and 0.8
Step-by-step explanation:
First you have to use your multiplication table, find out how much equals to 0.56 to make it easer just remove the zero and decimal point for example: 0.56 - 56 then divide it using all numbers. i divided it by 0.8 and is there that number yes and then i got 0.7 and that number is there too.
Which is the better buy?
4-quart jug of water for $5.12
79-fluid-ounce jug of water for $3.95
Help please
Answer:
Step-by-step explanation:
1 quart = 32 fluid ounces
4 quart = 32 x 4 = 128 ounces
Rate of 128 ounces = 128 ÷ 5.12 = 25
Rate of 79 ounces = 79 ÷ 3.95 = 20
4 quart jug is a better buy
A new health drink has 160% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
Wow I like health but this is beyond my knowledge I am so sorry I couldn't help
A group of circus bears made a pyramid. 3 bears fell of the top, leaving 3 on the bottom. How many bears made the pyramid?
Answer:
6, right?
Step-by-step explanation:
alright im feeling generous and ill give 100 points and brainliest to the person who wins
Answer:
thank you and please have me win
Step-by-step explanation:
please give brainliest and a win
how do you win
GIVING BRAINLIST ASAP
Jasmine is buying a new mascara. She bought it on sale for $5.56. If the piece represents a 20% discount from the original price, what is the original price of the mascara? Round your answer to the nearest cent (hundredths place)
Answer:
It's $6.95 :)
May someone help me with this please?!
Factor the polynomial function over the complex numbers.
f(x)=x4+3x2−4
Enter your answer in the box.
f(x)=
Answer:
14
Step-by-step explanation:
I am pretty sure its 14 if not im so sorry
Use a system of linear equations with two variables and two equations to solve.
205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.
Answer:
passed: 164
failed: 41
Step-by-step explanation:
Let the failed students be x, then the passed students will be 4x.
x + 4x = 205
x = 205/5 = 41
4x = 4*41 = 164
What is the difference between 1.37 and 0.52
Answer:
0.85
Step-by-step explanation:
1.37-0.52=0.85
which is bigger? 2 or -3 please help!!
The price of a new computer is $1,449 at your local store. This is 18% less than what it costs at the Brownstone Mall. How much should it cost at the Brownstone Mall?
Given:
Price of new computer at local store = $1,449
This is 18% less than what it costs at the Brownstone Mall.
To find:
The cost of new computer at the Brownstone Mall.
Solution:
Let x be the cost of new computer at the Brownstone Mall.
According to the question,
[tex]x-18\%\text{ of }x=1449[/tex]
[tex]x-\dfrac{18}{100}x=1449[/tex]
[tex]x-0.18x=1449[/tex]
[tex]0.82x=1449[/tex]
Divide both sides by 0.82.
[tex]x=\dfrac{1449}{0.82}[/tex]
[tex]x=1767.07317[/tex]
[tex]x\approx 1767.07[/tex]
Therefore, the cost of new computer at the Brownstone Mall is $1767.07.
Aisha divides 15 meter of ribbon into 2 equal pieces.
What is the length of each piece of ribbon?
Answer: 7.5 meters
Step-by-step explanation:
A pie can be cut into seven pieces with three straight cuts. What is the largest number of
pieces that can be made with eight straight cuts?
A. 29
B. 33
C. 37
D. 41
Answer:
You have to think in three dimensions to answer this properly. The relative size of the pieces was never specified, so let’s start with the first three cuts:
Cut 1: No specified angle—-but it’s vertical and along a diameter (assuming a circular pie): 2 pieces.
Cut 2: Perpendicular to Cut 1; also vertical: 4 pieces.
Cut 3: Horizontal across the midline of the pie: 8 pieces.
Cuts 4 and 5: Diagonally—from either end of cut 1 on top to the opposite sides on the bottom (they intersect at the center): 16 pieces.
Cuts 6 and 7: Diagonally from the ends of cut 2 (similar to cuts 4 and 5): 32 pieces.
Cut 8: The exact angle is unimportant—it’s difficult if not impossible to cut more than half of the pieces. So of 32, 16 are split, leaving a grand total of 48 pieces.
There could very well be a way to make more than 48 pieces, but I would have written that one if I’d thought of it.
Step-by-step explanation:
With eight straight cuts, approximately 18 pieces of pie can be made.
What is algebraic expression?An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -
2x + 3y + 5
2z + y
x + 3y
Given is that a pie can be cut into seven pieces with three straight cuts.
With three straight cuts, the number of pieces would be seven.
With 1 straight cut, the number of pieces would be 7/3.
With 8 straight cut, the number of pieces would be 7/3 x 8 = 56/3 = 18.6
Therefore, with eight straight cuts, approximately 18 pieces of pie can be made.
To solve more questions on equivalent expression, visit the link-
https://brainly.com/question/1041084
#SPJ2
Bina Chand bought two kettle for rs 1625.she sold one of them
at 20% profit and the other at 20% loss.if the selling price of both kettle are same .find the cost price of each kettle .Also calculate her gain or loss percent in the total transaction.
Answer:
cost of each kettle:
K₁ = 650K₂ = 975gain/loss from each transaction:
gain from selling K₁ = 130loss from selling K₂ = 195total loss = 65
loss % = 4%
Step-by-step explanation:
both kettles cost 1625
K₁ + K₂ = 1625
selling price of K₁ = [(100 + 20) / 100] x K₁ = 1.2K₁
selling price of K₂ = [(100 - 80) / 100] x K₂ = 0.8K₂
1.2K₁ = 0.8K₂
K₁ = 1625 - K₂
K₁ = 0.8K₂ / 1.2
1625 - K₂ = ²/₃K₂
1625 = ²/₃K₂ + K₂ = ⁵/₃K₂
K₂ = 1625 x ³/₅ = 975
K₁ = 1625 - K₂ = 1625 - 975 = 650
selling price = 1.2K₁ = 1.2 x 650 = 780
selling price K₂ = 0.8K₂ = 0.8 x 975 = 780
gain from selling K₁ = 780 - 650 = 130
loss from selling K₂ = 780 - 975 = 195
total loss = 195 - 130 = 65
loss % = 65 / 1625 = 0.04 = 4%
3) Angle A is vertical to angle K. If angle A is 78 degrees, what is angle K?
Estimate the solution of the system of equations. Write the answer as an ordered pair.
solution =
I will make brainlyest.
Answer:
x + 46
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
4(-8x + 5) - (-33x - 26)
Step 2: Simplify
Distribute: -32x + 20 + 33x + 26Combine like terms (x): x + 20 + 26Combine like terms (Z): x + 46I WILL GIVE BRAINLIEST PLEASE
Answer:
4
Step-by-step explanation:
Answer:
The answer is 6/25
Step-by-step explanation:
Both 24 and 100 are divisible by 4 so:
24/4 = 6 and 100/4 = 25
So, your final answer is 6/25
Anyone know the answer?
Answer:what answer screenshot glitching
Step-by-step explanation: