In a particular game, the probability of winning $95 is 1/36 and the probability of losing $7 is 35/36. What is the expected value after playing this game? Round to the nearest cent.
Answer:
1.53
Step-by-step explanation:
1
36
(
85
)
+
(
35
36
)
(
−
4
)
=
E
V
85
36
−
140
36
=
E
V
−
55
36
=
E
V
E
V
≈
−
$
1.53
Using the Prime Factorization for 27 and 54, what is the GCF
Answer:
The GCF is 27.
Step-by-step explanation:
hope this helps
The factors of 27 are: 1, 3, 9, 27
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
Then the greatest common factor is 27.
How many 1.5 ft
pieces of pipe can you cut from a 12ft pipe
Answer:
8 pieces.
Step-by-step explanation:
12 / 1.5
= 24 / 3
= 8.
Find the missing side lengths. Answers are in simplest radical form with the
denominator rationalized.
Step-by-step explanation:
Given is the 30°x60°x90° right triangle.
The ratio of its sides is:
1 : √3 : 2Find the missing sides using the ratio above:
x = 2*2√6 = 4√6y = 2√6*√3 = 2*3√2 = 6√2Answer:
\(\sf x = 4\sqrt{6}\) and \(\sf y = 6\sqrt{2}\)
step-by-step explanation:
given:
opposite length: yadjacent length: 2√6hypotenuse length: xusing tan rule:
\(\sf tan(x)= \dfrac{opposite}{adjacent}\)
\(\sf tan(60)= \dfrac{y}{2\sqrt{6} }\)
\(\sf tan(60)*{2\sqrt{6}= y\)
\(\sf y = 6\sqrt{2}\)
using cosine rule:
\(\sf cos(x)= \dfrac{adjacent}{hypotensue}\)
\(\sf cos(60)= \dfrac{2\sqrt{6} }{x}\)
\(\sf x= \dfrac{2\sqrt{6} }{cos(60)}\)
\(\sf x = 4\sqrt{6}\)
1.Use the Pythagorean Theorem to find AD and DC. Then find AC using addition. Show your calculations.
Answer:
c=a2+b2=102+172≈19.72308
Step-by-step explanation:
a calculator bro its easy
Leo is a barber.
He charges £5 for a haircut.
He charges 10% extra for hair gel.
One day 25 customers have a haircut.
16 of these ask for hair gel.
Work out the total amount that Leo charges his customers that day.
4 11/18-x= 1 31/16 what is x
Answer: x=241/144
Step-by-step explanation:......
Answer:
x= 2.88194 or x= 2 127/144
Step-by-step explanation:
I put your question into a math calculator and got this for the answer. Good luck!
what is the surface area of a sphere with a radius of 12 centimeters
A) 302cm^2
B) 452cm^2
C) 576cm^2
D) 1810cm^2
The surface area of the sphere is 1810 cm²
What is a sphere?A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of sphere is expressed as;
A = 4πr². where r is the radius.
A = 4 × 3.14 × 12²
A = 1809.7 cm²
approximately to the nearest whole number
A = 1810 cm²
Therefore the surface area of the sphere to the nearest whole number is 1810 cm².
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Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $3000 loan for 30 months at 8.5% APR. What is the monthly payment? (Round your answer to the nearest cent.)
Answer:
111.35
Step-by-step explanation:
effective rate: .085/12= .00708333333333
\(3000=x\frac{1-(1+.00708333333333)^{-30}}{.00708333333333}\\x=111.35\)
It has been estimated that as many as 70% of the fish caught in certain areas of the Great Lakes have liver cancer due to the pollutants present. Find an approximate 95% range for the percentage of fish with liver cancer present in a sample of 130 fish.
Answer:
62.12% to 77.88%
Step-by-step explanation:
We proceed as follows mathematically;
From the question
n=130
Estimate for sample proportion=70% = 70/100 = 0.7 = p
Level of significance is =1-0.95=0.05
Z critical value(using Z table)=1.96
Confidence interval formula is ;
p ± Z * √(p(1-p)/n
= 0.70 ± √(0.7(1-0.7)/130
=(0.6212,0.7788)
Lower confidence interval limit =0.6212
Upper confidence interval limit =0.7788
In percentages , we simply multiply by 100 in both cases =
62.12 % to 77.88%
4° below zero as an integer
Answer:
-4
Step-by-step explanation:
How can you describe two numbers that add to zero?
Answer:
I think it its 0 its called the additive identity because when you add it to a number, the result you get is the same number.
Step-by-step explanation:
For example, 5 + 0 = 5 Any two numbers whose sum is zero, such as 3 and -4, because 3 + (-3) = 0.
HURRY!!!!!!!!!!!!!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.
Correct answer will get brainiest
Answer:
Therefore, the constant of proportionality for the given proportional relationship is 5.
Step-by-step explanation:
To determine the constant of proportionality in the given proportional relationship, we can use the formula:
Constant of Proportionality = Tickets / Games
Let's plug in the values from the table:
For the first set of values (4 games and 20 tickets):
Constant of Proportionality = 20 / 4 = 5
For the second set of values (7 games and 35 tickets):
Constant of Proportionality = 35 / 7 = 5
For the third set of values (10 games and 50 tickets):
Constant of Proportionality = 50 / 10 = 5
In all three cases, the constant of proportionality is equal to 5.
Therefore, the constant of proportionality for the given proportional relationship is 5.
kira,boris,deshuan have a total of $119 in their wallets. Boris has 3 times waht deshuan has. Deshuan has $6 more than kira. How much do they have in their wallets.
Kira has $19, Boris has $75, and Deshuan has $25.
How much money does each person have in their wallets?We will denote as follows:
Kira has as K, Boris has as B, and Deshuan has as D.From information, we can set up equations:
B = 3D (Boris has 3 times what Deshuan has)
D = K + 6 (Deshuan has $6 more than Kira)
K + B + D = 119 (The total amount of money they have is $119)
Substituting equation 2 into equation 1, we have:
B = 3(K + 6)
Substituting equations 1 and 2 into equation 3:
K + 3(K + 6) + (K + 6) = 119
K + 3K + 18 + K + 6 = 119
5K + 24 = 119
5K = 119 - 24
5K = 95
K = 95 / 5
K = 19
Using equation 2, we can find D:
D = K + 6
D = 19 + 6
D = 25
Using equation 1, we can find B:
B = 3D
B = 3 * 25
B = 75.
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Calculate the volume of a cylinder with height 9cm and diameter 15cm.
Give your answer rounded to 3 SF.
Answer:
1590cm³
Step-by-step explanation:
The volume of a cone = base area x height
V= π x (d/2)^2 x h
V = 22/7 x 56.25 x 9
V ≈ 1591.071429cm³
V = 1590cm³ to 3 sf
Please help!!!!!!!!!!!
9514 1404 393
Answer:
(d) h = 2A/b
Step-by-step explanation:
Multiply both sides of the equation by the inverse of the coefficient of h.
\(A = \dfrac{1}{2}bh=\dfrac{b}{2}\cdot h\\\\\dfrac{2}{b}\cdot A=h\\\\\boxed{h=\dfrac{2A}{b}}\)
Need help please and thank you
Hey!
For any graphing calculator problems I would recommend using desmos if your teacher allows it or getting a graphing calculator such as a ti-nspire :)
This way, it will be able to graph and get the answers quicker!
The answers to this question is (37.5,15) and (0,60). To find your answers when you graph always look for where the lines intersect. If the lines do not intersect then it is not one of your answer choices. (examples are below).
What are the Similarities between BODMAS, PEMDAS, and GEMDAS.
MATH
PEMDAS is the rule that can be used to simplify or evaluate complicated numerical expressions with more than one binary operation.
The rule or order that we use to simplify expressions in math is called BODMAS rule.
GEMDAS is the rule that can be used to simplify or evaluate complicated numerical expressions with more than one binary operation.
SO, These 3 show almost thing, but they are used in DIFFERENT areas.
Look at the pictures below to get an understanding of what each letter means.
BODMAS -
Very simply way to remember BODMAS rule!
B ----> Brackets
O ----> Of (orders :Powers and radicals)
D ----> Division
M ----> Multiplication
A ----> Addition
S ----> Subtraction
Important Notes :
1. In a particular simplification, if you have both multiplication and division, do the operations one by one in the order from left to right.
2. Division does not always come before multiplication. We have to do one by one in the order from left to right.
3. In a particular simplification, if you have both addition and subtraction, do the operations one by one in the order from left to right.
PEMDAS -Very simply way to remember PEMDAS rule!
P ----> Parentheses
E ----> Exponent
M ----> Multiply
D ----> Divide
A ----> Add
S ----> Subtract
Important Notes :
1. In a particular simplification, if you have both multiplication and division, do the operations one by one in the order from left to right.
2. Division does not always come before multiplication. We have to do one by one in the order from left to right.
3. In a particular simplification, if you have both addition and subtraction, do the operations one by one in the order from left to right.
GEMDAS -Very simply way to remember GEMDAS rule :
G ---> Grouping (Parentheses)
E ----> Exponent
M ----> Multiply
D ----> Divide
A ----> Add
S ----> Subtract
Important Notes :
1. In a particular simplification, if you have both multiplication and division, do the operations one by one in the order from left to right.
2. Division does not always come before multiplication. We have to do one by one in the order from left to right.
3. In a particular simplification, if you have both addition and subtraction, do the operations one by one in the order from left to right.
REMEMBER TO LOOK AT IMAGES ALSO.
________________________________________________________
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Thank You!
Answered by: ms115
#learnwithbrainly
Answers and Step-by-step explanations:
All of these systems (PEMDAS, GEMDAS, and BODMAS) are all formulas used to solve algebraic expressions and equations, also known as the "order of operations." Each of these have similar, yet different meanings. Some contain the same and different steps than each other.
PEMDAS stands for parenthesis, exponents, multiplication, division, addition, and subtraction.
GEMDAS stands for grouping (such as parenthesis), exponents, multiplication, division, addition, and subtraction.
BODMAS stands for brackets (similar to parenthesis) orders (exponents and roots), division, multiplication, addition, and subtraction.
Each of these formulas are similar to the other formulas, because they all contain some of the same steps: multiplication, division, addition, and subtraction. Also, each of these formulas share a common trait to start with: the same "grouping" such as the parenthesis and brackets. Each of these actually contain the same second step as well. Think about it: for PEMDAS and GEMDAS it is exponents, and the same is for BODMAS. Not only that, but all of these formulas are used to solve algebraic equations and expressions. The only difference is, is that in BODMAS the division and multiplication are switched, and each of these steps start with different letters.
__________________________________
I hope that this helps.
Julie printed out a picture of each of the six members of her favorite band to decorate her bedroom door. Each picture measures 5 inches by 7 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
On Julie's door, the images will span 210 square inches.
As Julie printed six images, the total space that the images cover is:
6 x 35 square inches = 210 square inches
What is an inch?Inches are measured as 1/36 of a yard in both British Imperial and American Customary measurement systems. According to some sources, the term "inch" comes from the Old English "ince" or "ynce," which in turn is said to have originated from the Roman "uncia" unit.
The name of another English unit, the ounce, is derived from the Roman word uncia. According to legend, King David I of Scotland defined the old English word "ynce" as the width of a man's thumb at the base of the nail in the year or thereabouts 1150 AD.
From the question:
Six images total, each measuring 5 by 7 inches, were printed by Julie. We must first calculate the area of each image in order to add up the overall area that these photographs cover.
One image's area is as follows:
5 inches x 7 inches = 35 square inches
As Julie printed six images, the total space that the images cover is:
6 x 35 square inches = 210 square inches
Consequently, 210 square inches of Julie's door will be covered by the images.
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Find the value of x
(6x+7) (8x-17)
Answer:
x=12
Step-by-step explanation:
6x+7=8x-17
-6x -6x
7=2x-17
+17 +17
24=2x
÷2 ÷2
12=x
x=12
find the measure of
ILL GIVE BRANLIEST
given the function f= {(3,1),(4,-2),(1,-1),(-3,4)}
1. determine f(1):
2 for what value of x is f(x)=1:
Answer:
1. f(1) = -1
2. for x=3 f(x)=1
Step-by-step explanation:
According to function definition:
for x=1 f(x)=f(1)=-1 (for first answer)
for x=3 f(x)=f(3)=1 (for second answer)
What is the difference of the polynomials? (5x - 3) - (2x + 7).
Answer:
The answer is
3x - 10Step-by-step explanation:
(5x - 3) - (2x + 7).
Remove the brackets
That's
5x - 3 - 2x - 7
Group like terms and simplify
That's
5x - 2x - 3 - 7
We have the final answer as
3x - 10Hope this helps you
The local office supply store charges $0.08 per page to make photocopies. Lionel paid $20.00 for a set of copies. How many pages did Lionel have copied?
Answer:
250
Step-by-step explanation:
You do 20/.08 to get 250.
Answer:
2.5
Step-by-step explanation:20/8=2.5
In the diagram, the parallel lines are cut by transversal BC−→−.If BD−→− bisects ∠ABC and m∠3 = 80, what is m∠ABD?
The value of m ∠ABD will be;
⇒ ∠ ABD = 50°
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
In the diagram, the parallel lines are cut by transversal BC.
And, BD bisects ∠ABC and m∠3 = 80.
Now,
Since, The parallel lines are cut by transversal BC.
Hence, We get;
⇒ ∠ 3 + ∠ 2 = 180°
⇒ 80° + ∠ 2 = 180°
⇒ ∠ 2 = 180 - 80
⇒ ∠ 2 = 100
And, We have;
⇒ ∠ 2 = ∠ ABC
⇒ ∠ ABC = 100°
Since, BD bisects ∠ABC.
Hence, We get;
⇒ ∠ ABD = 100 / 2
⇒ ∠ ABD = 50°
Thus, The value of m ∠ABD = 50°
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Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.
pls give simple working out :)
Answer:
The percent increase is 11.73
Solution
£8.95 is increased to £10
Percentage change: [ \(\frac{10 - 8.95}{8.95}\) x 100 ] %
Percentage change: ( \(\frac{1.05}{8.95}\) x 100 ) % =
11.73.
Thus your answer is:
11.73
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What value is missing from the table?
Answer: D - 14
Step-by-step explanation:
1 gallon = 2.15
So to find how many gallons is worth 30.10, divide by 2.15
30.10 ÷ 2.15 = 14
Answer:
Step-by-step explanation:
To find the required gallons of gas for 30.10$, you can use the following formula:
Required gallons of gas=Cost of required gallons of gas/cost of one gallon of gas
Here given that, the cost of required gallons of gas is 30.10$ and the cost of one gallon of gas is 2.15$
Now apply the formula:
Required gallons of gas = 30.10$/2.15$ = 14
Therefore, the required gallons of gas = 14
So 14 gallons of gas costs 30.10$
Option D is the correct answer.
The domain and range is?
Answer:
In inequality notation:
Domain: -1 ≤ x ≤ 3
Range: -4 ≤ x ≤ 0
In set-builder notation:
Domain: {x | -1 ≤ x ≤ 3 }
Range: {y | -4 ≤ x ≤ 0 }
In interval notation:
Domain: [-1, 3]
Range: [-4, 0]
Step-by-step explanation:
The domain is all the x-values of a relation.
The range is all the y-values of a relation.
In this example, we have an equation of a circle.
To find the domain of a relation, think about all the x-values the relation can be. In this example, the x-values of the relation start at the -1 line and end at the 3 line. The same can be said for the range, for the y-values of the relation start at the -4 line and end at the 0 line.
But what should our notation be? There are three ways to notate domain and range.
Inequality notation is the first notation you learn when dealing with problems like these. You would use an inequality to describe the values of x and y.
In inequality notation:
Domain: -1 ≤ x ≤ 3
Range: -4 ≤ x ≤ 0
Set-builder notation is VERY similar to inequality notation except for the fact that it has brackets and the variable in question.
In set-builder notation:
Domain: {x | -1 ≤ x ≤ 3 }
Range: {y | -4 ≤ x ≤ 0 }
Interval notation is another way of identifying domain and range. It is the idea of using the number lines of the inequalities of the domain and range, just in algebriac form. Note that [ and ] represent ≤ and ≥, while ( and ) represent < and >.
In interval notation:
Domain: [-1, 3]
Range: [-4, 0]
HELP ME NOWWWWWW PLZZZZZZ EXPLAIN UR ANSWER FOR BRAINLIEST
Answer:
The answer's A 1/52
Step-by-step explanation:
That's because there's only one ace of hearts in a deck of 52 cards.
Answer: A) 1/52
Step-by-step explanation:
There is 52 cards in a whole deck, and the probability of getting that ace card is 1/52 because there is only 1 ace card in an entire deck of cards.
Hence, the answer is 1/52
Initially, 50 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population every 8 hours.How can this information be interpreted?Select True or False for each statement.
The first statement will be "false" and the second one is "true". A further explanation is below.
According to the question,
Number of bacteria after "t" hours,
= \(50\times (3)^{\frac{t}{8} }\)
This will be false.
Now,
After 36 hours,
→ \(N = 50\times (3)^{\frac{36}{8} }\)
\(= 50\times (3)^{\frac{36}{8} }\)
\(= 50\times (3)^{4.5}\)
\(= 7015\)
This will be true.
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Answer:
The first one is actually true and the second one is false.
Step-by-step explanation:
1. True
2. False