Answer:
The constant of proportionality is 10
A single coin is flipped four times. A) Use an organizational strategy to construct the sample space for this situation. B) How many different outcomes are possible?
Step-by-step explanation:
- A single coin is known to have 2 sides (The head H and the tail T).
The total number of sample space for n number of coins is expressed as 2ⁿ where
n is the total number of coins flipped.
If a single coin is flipped four times, the total outcome will be expressed as;
2⁴ = 16
Hence there are 16 different possible outcomes.
- To construct the sample space (the 16 possible outcomes)
For one flipped coin, the sample space is represented by the set S₁
S₁ = {H, T}
H is Head
T is Tail
For two flipped coin, the sample space is represented by the set S₂
S₂ = S₁×S₁
S₂ = {H, T}×{H,T}
S₂ ={HH, HT, TH, TT}
For three flipped coin, the sample space is represented by the set S₃
S₃ = S₂×S₁
S₃ = {HH, HT, TH, TT}×{H,T}
S₃ = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
For four flipped coin, the sample space is represented by the set S₄
S₄ = S₃×S₁
S₄ = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}×{H,T}
S₄ ={HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}
Hence the sample space for a single coin flipped 4times is given by the set;
S₄ ={HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT} where;
n(S₄) = 16
Help please I will give Brainliest!!!!
Josiah invested $96,000 in an account paying an interest rate of 3.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $153,400?
The number of years it will take for the value of the money in the account to reach $153,400 would be = 17 years.
What is simple interest?Simple interest is defined as the amount of money that is received as an extra cash based on an investment made in an account.
The principal amount of money invested= $96,000
The rate of interest = 3.5%
The total interest on the principal amount = $153,400- $96,000 = $57,400
The time for this investment= ?
Using the formula for simple interest= p×T×R/100
57,400 = 96,000 ×T× 3.5 /100
Make T the subject of formula;
T = 57,400×100/96,000×3.5
T = 5740000/336000
T = 17 years (approximately)
Learn more about simple interest here:
https://brainly.com/question/25793394
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Is the solution to a two-variable inequality always a solution of the related function? Explain.
Answer:
not always
Step-by-step explanation:
above
help pls, this is geometry
Answer:
sas - meaning side angle side
Step-by-step explanation:
Ben has a collection of baseball cards. He has a total of 1,600 cards. Of the baseball cards, 35% are dated before 1980, 25% are dated from 1980 to 2000, and
the rest are dated after 2000.
How many baseball cards in Ben's collection are dated after 2000?
Answer:
640 cards
Step-by-step explanation:
If the rest are dated after 2000, that means that 40% are dated after 2000, since 25% + 35% = 60%
To find how many are dated after 2000, multiply 1,600 by 0.4:
1,600(0.6) = 640
So, 640 of the baseball cards are dated after 2000
PLEASE HELP ASAP The skate pro company manufactures skateboards. They found 12 defective skateboards in a batch of 400. How many defective skateboards might they find in a batch of 1,200?
What is the probability that a skateboard is defective?SIMPLIFY
a)3/100
b)12/400
c)4/100
Answer:
I believe the answer is A. love your pfp btw
Step-by-step explanation:
12/400 is .03 or 3%
10x^2y - 15xy^2?
Completely factor
What is the quotient and the remainder of 2,461 ÷ 18
Answer:
Step-by-step explanation:
722222
Answer:
136 r 13
Step-by-step explanation:
divide the numbers using long division:
1 3 6
__________
18 | 2 4 6 1
- 1 8
___
6 6
- 54
_____
1 2 1
- 1 0 8
_____
1 3
So 2461 / 18 is 136, remainder 13
Aaaaa pls help ASAP on the second unanswered one
30 points!!
Answer:
A is the answer
Easy way:
Figure out all of the slopes in the choices and see which one is different.
Answer:
The answer is A.
Step-by-step explanation:
Hope that helps!! Please give me brainliest!!
There are 5 lunch choices in a hospital cafeteria: Salad, Pizza, Spaghetti, Sub Sandwiches and Soup. The percentage of people that chose Pizza is 25%. If 50 people chose pizza, what is the total number of people at ate lunch?
Answer:
75
Step-by-step explanation:
Anthony is shopping at a discount store. He really wants to buy a jacket that costs $129.99. The jacket is on sale for 25% off. Anthony also has a coupon for 35% off any item in the store. If the sales tax is 7.2% after discounts, what is the final sale price of the jacket?
Take the discounts off one at a time in the order listed, and then add on the tax. Round to the nearest cent.
Price after the first discount:
Price after both discounts:
Price after adding tax:
Answer:
dats alot
Step-by-step explanation:
Find the equation of the line that contains the point (5. - 4) and is perpendicular
to the line x = 4. Write the line in slope-intercept form, if possible. Graph the lines.
Answer: y=-4
Rotate it
Good Luck!
Write the number 76,689 in expanded form
Please help :) Please help :)
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the area of the square.
3
3-m
m2
Help please ASAP
Answer:
7 is the answer hope it will help you
Answer:
l = 12.25 m²
Step-by-step explanation:
Here, l = 3½ m = 3.5m
∴ Now, The area of a square is
= l²
= (3.5)² m
= 12.25 m²
Thus, The area of a square is 12.25 m²
-TheUnknownScientist
A house as purchases for $ 6780000.
a- Write the purchase price in million?
b- Write the purchase price in millions nearest to an integer.
Answer:
Please check the explanation.
Step-by-step explanation:
a)
As there are 1000000 units in 1 million
i.e.
1 million = 1000000 units
A house as purchases for $6780000.
Thus, the purchase price in million will be:
6780000/1000000 = 6.78 million
b)
purchase price in millions nearest to an integer
As the number we are rounding is followed by 7, so will be round the number up.
Therefore,
$6780000 rounded to the nearest million = $7,000,000
what is 2m×2 to the 7 power
Answer:
256m
Step-by-step explanation:
not 100% sure but i hope this helps :)
40.5g of sugar is needed to make 5 cakes. How much sugar is needed for 8 cakes?
Answer:
64.8g
Step-by-step explanation:
First you would divide 40.5 by five which would equal 8.1 ; 8.1 resembles 8.1g of sugar per cake. So, 8.1 times 8 cakes would be 64.8g of sugar needed for 8 cakes.
Solve the problem below, inputting your answer in decimal form.
594 7/25 + 89 37/100
Answer:
683.65
Step-by-step explanation:
Answer:
683.65
Step-by-step explanation:
Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed, while only 12% of the 525 boys were left handed. Which is closest to the number of left-hander girls at mason Junior high school?
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let.me solve the number of left handed girls and you then choose the closest answer to the value that I get.
Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed. Therefore, the number of left handed girls will be:
= 32% × 475
= 32/100 × 475
= 0.32 × 475
= 152 left handed girls
Underwood Farms had 242 pumkins at the start of November . 12 visitors brought 2 pumkins wach by November 10th. How many pumkind does the farm have left?
Answer:
Total pumpkins left = 254
Step-by-step explanation:
Total pumpkins available = 242
12 visitors brought 2 pumkins each by November 10th.
Total pumpkins brought = 12 × 2
= 24 pumpkins
How many pumkind does the farm have left?
Total pumpkins left = Total pumpkins available + total pumpkins brought
= 242 + 12
= 254
Total pumpkins left = 254
pls help me whats 5x4
What is the answer for X and Y
(Geometry)
Answer: y =21; x = 7√3
have: cos 60° = x/(14√3) = 1/2 => x = 1/2. (14√3) = 7√3
sin 60° = y/(14√3) = (√3)/2 => y = (√3)/2 . 14√3 = 21
Step-by-step explanation:
i neeed answer fast thanks <3
Answer:
C, 0.28 x 63 = p
Step-by-step explanation:
Basically, C is getting 28% of 63.
This can be better shown in terms of 100. Let's say you want 28 percent of 100.
0.28 x 100 = 28
3c+5=23 what is c? c=3 c=6 c=7 c=18
Answer:
c = 6
Step-by-step explanation:
Subtract 5 from both sides. This is to cancel out the + 5. You have 3c = 18Divide both sides by 3. 18/3 = 6, so c = 6.Answer:
First, rearrange the equation so you can get the like terms together
3c=23-5
3c=18
c=18/3
c=6
Step-by-step explanation:
I hope this is the answer, and if it helped give me brainliest
Sandra was told to find X where g(x)=7
g(x)=-2x-12
Her first step was to substitute 7 in for X. Why is that incorrect?
Step-by-step explanation:
i think its as
g(x)=2x-12
7=2x-12
7+12=2x
19=2x
x=19
2
i hope so,
HELP THIS IS DUE TONIGHT!!
What is the LCM (least common multiple) of the following
16ab^3 5a^2b^2 20ac
Also ^ means that it’s an exponent
Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which
equation can she use to find g, the number of gallons of water she should add?
Answer: 1.98/11+g = 12/100
Answer:
D [tex]\frac{1.98}{11+g} =\frac{12}{100}[/tex]
Step-by-step explanation:
edge
Factor f(x)=x3+x2-17x+15 if f(3) =0
Answer:
Step-by-step explanation:
x^3+x^2-17x+15 replace x with 3
3^3+3^2-17(3)+15 =0
27+9-51+15 combine
=0
Find g(3) -7
help please
Answer:
- 10
Step-by-step explanation:
g(x) = - x² + 2x
g(3) - 7 = - (3)² + 2(3) - 7 = - 10