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
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by C(t) = 0.08t − 0.0004t2, where 0 ≤ t ≤ 240 and the concentration is measured in mg/L.
Answer:
4mg/L
Step-by-step explanation:
Here is the complete question;
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by
C(t) = 0.08t − 0.0004t2, where 0 ≤ t ≤ 240 and the concentration is measured in mg/L. When is the maximum serum concentration reached?
Given the concentration of the drug in the patient's bloodstream after t minutes modeled by the equation;
C(t) = 0.08t − 0.0004t^2
The maximum serum concentration is reached at when d(C(t))/dt = 0
d(C(t))/dt = 0.08-2(0.0004)t
d(C(t))/dt = 0.08-0.0008t
since d(C(t))/dt = 0
0 = 0.08-0.0008t
get the value of t
-0.08 = -0.0008t
t = 0.08/0.0008
t = 100secs
Get the maximum serum concentration reached by substituting t = 100s into the equation as shown;
C(t) = 0.08t − 0.0004t^2
C(100) = 0.08(100) − 0.0004(100)^2
C(t) = 8-0.0004(10000)
C(t) = 8-4
C(t) = 4mg/L
Hence the maximum serum concentration reached is 4mg/L
In a survey of 2,200 people who owned a certain type of car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
*blank*% of the people surveyed were satisfied with the car.
Answer:
40%
Step-by-step explanation:
Given parameters:
Number of people surveyed = 2200
Number of people who said they would buy the car again = 880
Unknown:
The percentage of people satisfied with the car = ?
Solution:
The percentage of people satisfied with the car purchase can be determined using the expression below:
Percentage of people satisfied = [tex]\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100[/tex]
Percentage of people satisfied = [tex]\frac{880}{2200}[/tex] x 100 = 40%
Cj has $50 more than Jordan has. Together they have $100. How much does Jordan have?
Answer:
25
Step-by-step explanation:
take C as what Cj has, and J what Jordan has.
Cj has $50 more than Jordan has, so:
C = 50 + J
Together they have $100, so:
C + J = 100
is a system of 2 equations with 2 unknown (C and J):
C - J = 50
C + J = 100
Adding both equations:
2C = 150 ⇒ C = 75
From second equation: J = 25
Click on the supporting detail that correctly explains what
happens during reduction firing.
Answer:the third one
Answer: sorry i’m late ..
but the answer is : in reduction firing, the amount of oxygen is reduced as the fuel burns. So, different chemical reactions take place
Step-by-step explanation:
i took the lesson on iReady “understanding technical and scientific texts - tutorials- part 2- Level d” !!
Heather sells cosmetics for a local company. During her first month of employment her sales were $60. During her second month her sales were $300. What was Heather’s percent of increase in sales? (Remember to move your decimal two places or multiply by 100 to make a decimal a percent!)
Answer:
80%
Step-by-step explanation:
300/3=100
60/3=20
100-20=80
travels only on Saturdays and Sundays and has miles this month. Travels every weekday and has miles this month. If they each travel about the same number of miles each day, who travels more miles per day for this month?
Complete question :
William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month
Answer:
WILLIAMS ; 50 miles per day
Step-by-step explanation:
Given that :
Williams travel times = Saturdays and Sundays
Total distance traveled = 400 miles
Jason travel times = Every weekday
Total distance traveled = 500 miles
Number of weeks in a month = 4
Hence, saturdays and Sundays = 4 * 2 = 8 days
Weekdays = 5 * 4 = 20 days
Miles traveled per day:
Williams :
Total distance / number of days
= 400 miles / 8 days
= 50 miles per day
Jason :
Total distance / number of days
= 500 miles / 20 days
= 25 miles per day
50 > 25
Hence, Williams travel more miles per day than Jason
How do you find the slope of the table below
Write two division equations for each multiplication equation.
1. 15 ⋅ 2/5 = 6
2. 6 ⋅ 4/3 = 8
3. 16 ⋅ 7/8 = 14
can someone help with these two problems?
Answer:
a and b
Step-by-step explanation:
just trust =) ive done this before
Answer: The first one i think is C and the second one is B
Find the product: a) (5 – 2h) (3 + h) b)4p ^2 q ^2 (p ^2 – q ^2)
Answer:
A.) -8h
Step-by-step explanation:
a.) . (5 – 2h) (3 + h)
a.) (5 – 2h) (3 + h)
(5+3) (h-2h)
8(-h)
-8h
Mandy divided a 5-pound bag of oranges into 12 equal piles. Which rational number represents the weight of the oranges in each pile? 1/5 5/12 2 1/6 2 2/5
Answer:
5/12
Step-by-step explanation:
Total pound of oranges = 5
Number of piles = 12
Weight of the oranges in each pile = Total pound of oranges / Number of piles
= 5 / 12
The rational number which represents the weight of the oranges in each pile is 5/12
Will mark brainliest pls help
Answer:
18
Step-by-step explanation:
Add all the sides. But you are missing two sides. Soo since the top is 4, the bottom is two bc half is two. then the right side is 5 and the left, half is 2 so the other half is 3. 3+2=5! soooo the perimeter is 18.
Answer:
18
Step-by-step explanation:
We add up the side lengths,
[tex]5+4+3+2+2+2= 18[/tex]
by finding missing side lengths with subtraction and logic
and I'm pretty sure this is correct, but I like double-checking things.
This figure is made out of 2 rectangles,
2x5 and 3x2
The perimeter of each is 14 and 10
[tex]14+10-3-3=18[/tex]
the two 3's are the over lapping sides
We also get 18.
1)There are whole numbers that are not integers.
true or false
2)All rational numbers are whole numbers.
true or false
3)All integers are whole numbers.
true or false
4)All integers are rational numbers.
true or false
Answer:
1).false 2). false 3).true 4). true
Step-by-step explanation:
1).All whole numbers are integers, so s...” That's right! All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.
3).. Integers include all whole numbers and their negative counter part e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers. is a rational number but not an integer. 4). All integers are rational number. Since we can rewrite an integer into a fractional form by diving it by 1. For example, 4=41 4 = 4 1 . But not all rational numbers are integer.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]
1) \: \: \: \: False[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]
2) \: \: \: \: False[/tex]
[tex]Exam)\frac{1}{2} \: \: is \: \: rational \: \: but \: \: it \: \: is \: \: not \: integer \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]
3) \: \: \: False[/tex]
[tex]Exam)- 1 \: \: is \: \: integer \: \: but \: \: it \: \: is \: \: not \: \: whole \: \: number \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]4) \: \: \: \: True[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
two shapes that represent the cross-sections
Answer:
it's the square and the rectangle
Plssss help 30 point!!!
A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.
Answer:
A) 2
B)109
c) 4
d)71
I'm a hundred percent sure
Step-by-step explanation:
Draw the Venn diagram
What is the binary number for 17
Answer:
♡ hi there! madeline here. ♡
- your answer is 10001
also, since I answered first, can I get the brainliest?
thank you, have a great day sandra!
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
how would you solve p-11=-14
Answer:
Step-by-step explanation:
all you would need to do is add 11 to both sides, and then you would get your answer.
What is the slope ? M=
Answer:
-3/2
Step-by-step explanation:
The slope is found by
m = ( y2-y1)/(x2-x1)
Using the points (-4,11) and ( 0,5)
m = ( 11-5)/( -4-0)
= 6/-4
= -3/2
Marissa substracted a negative number from a positive number. Her result was negative. Is that reasonable? Explain.
Answer: It is not reasonable.
Step-by-step explanation: when subtracting a negative number from a positive number the answer is always going to be positive because two negatives make a plus. For example 3-(-5). The two negatives cancel each other out, so it’s 3+5=8
Given the expression below, write an equivalent expression that does not contain parentheses.
Answer:
-2x - 12 - 2
Step-by-step explanation:
Apply the distributed property: -2x - 12 - 2I hope this helps!
Simplify the following.
a) 3x*y * 2xy
Simplify the expression.
6x^2y^2
what is (10 - 3 x 2) to the power of 2?
Please help!
Answer:
The answer is 16
Step-by-step explanation:
Multiply -3 by 2
(10-6)^2 ^2=power
subtract 6 from 10
4^2
Raise 4 to the power of 2
16
.
Answer:
16
Step-by-step explanation:
= (10 - 3 x 2) ^ 2
= (10 - 6) ^ 2
= 4 ^ 2
= 16
HOPE THIS HELPS
PLZ MARK BRAINLIEST
A freight train traveling along a certain route uses 12 units of fuel per mile plus an additional 2.2 units of fuel per mile for each railcar on the train. Let N represent the number of railcars on the train. What is an expression for f(N), the total number of units of fuel used per mile? find f(12). How many railcars does the train have if f(N)=34?
Answer:
[tex]38.4\ \text{units of fuel/mile}[/tex]
10
Step-by-step explanation:
Let [tex]N[/tex] represent the number of rail cars on the train
Each rail car adds 2.2 units of fuel per mile.
Fixed fuel consumption is 12 units of fuel per mile
The function of fuel consumption per mile is
[tex]f(N)=12+2.2 N[/tex]
when
[tex]N=12[/tex]
[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]
[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]
[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]
So, the number of rail cars when [tex]f(N)=34[/tex] is 10.
due soon will give brainalist no fake answers!!
Answer:
90gr strawberry jelly
6 sponge fingers
315ml custard
135gr tinned fruit
Step-by-step explanation:
120/4 = 30 * 3 = 90
8/4 = 2 * 3 = 6
420/4 = 105 * 3 = 315
180/4 = 45 * 3 = 135
Esmeralda works in the snack bar at the movie theater. She serves popcorn in two sizes, small and giant. The dimensions of the small box of popcorn are similar to the dimensions of the giant box of popcorn.
What is x when the width of the small box is 4 inches? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
6.7
Drag the tiles to match each equation to its number of solutions. Each tile may be used only once.
Answer:
Hello! Brainly is used for help on homework not for joking around. Next time you ask a question please make sure to add something your confused with you will most likely get help!
BrainlyMiddleSchool
Answer:
1- one solution 2- many solutions 3- no solution
Step-by-step explanation:
Your comment will be deleted along with your account BlueDragon123r5 You are working on finding x in the diagram above. You come up with the equation: 9y + 7 = 2y + 98. Your friend who has just started Algebra is blown away and doesn't understand how you came up with the equation. Explain to your friend how you found the equation and how to solve it.
Answer
I know how to solve it just don't know how to explain how you came up with the equation
Step-by-step explanation:
To solve 9y+7=2y+98 you add 9y+2y and you get 11y and then you add 7+98 and get 105 then you put 11y=105 divide both ides by 11 y= 9.54
A rectangle is 9 centimeters long and 5 centimeters wide. What is the diameter?
Answer:
A rectangle doesn't has a diameter
________________________________
But if you are asking about perimeter.
Step-by-step explanation:
Perimeter = 2(l + b)
l = 9cm
b = 5cm
Perimeter = 2(l + b)
= 2(9 + 5)
= 18 + 10
= 28cm
2m² +2m- 24=0
Alguien me podría ayudar a decirme gracias .
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf 2m^2+2m-24=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2m^2-6m+4m-24=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2m (m-6)+4 (m-6)=0[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf (2m+4)(m-6)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf (2m+4)=0{\quad}or\: (m-6)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2m=-4=0 {\quad}or\: m=6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {4}{-2}}{\quad}or\: m=6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf m=-2 {\quad} or\:m=6 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf m=-2,6}}}[/tex]
could someone help me with this ? i need to find m
the three angles of a triangle always add up to 180 degrees.
So, add the three angles together!
2x - 12 + 2x + 17 + 9x - 7 = 180
Group the similar numbers together.
13x -2 = 180
13x = 182
x = 14
Plug x in to 2x + 17
14*2 + 17 = 45
mX = 45 degrees
Answer:
m∠X = 45°
Step-by-step explanation:
All angles in a triangle add up to 180°
2x - 12 + 2x + 17 + 9x - 7 = 180
13x = 180 - 17 + 12 + 7
13x = 182
x = 14°
m∠X = 2x + 17
sub x = 14° into m∠X
2(14) + 17
m∠X = 45°