Answer:
-Below.
Step-by-step explanation:
4) When the carton is unopened the number of servings x = 0.
So there are 64-4(0) = 64 ounces in an unopened carton.
5) When all the milk has been poured out no. ounces left (y) = 0 so
64 - 4x = 0
4x = 64
x = 16
So each serving contains 16 ounces of milk.
If f(x) is an exponential function where f(4.5) = 16 and f(9.5) = 60, then find
the value of f(15), to the nearest hundredth.
The value of f(15), to the nearest hundredth is 253.88
The standard exponential equation is given as:
y = ab^xf(x) = ab^xIf f(4.5) = 16, then;
16 = ab^4.5 ..............1
Similarly, if f(9.5) = 60, then:
60 = ab^9.5 ........................... 2
Dividing both equations will give:
60/16 = ab^9.5/ab^4.5
60/16 = b^9.5-4.5
60/16 = b^5
3.75 = b^5
b = 1.3
Get the value of a. Recall that;
60 = ab^9.5
60 = a(1.3)^9.5
60 = 12.09a
a = 60/12.09
a = 4.96
Get the value of f(15)
f()15 = 4.96(1.3)^15
f(15) = 4.96(51.18)
f(15) = 253.88
Hence the value of f(15), to the nearest hundredth is 253.88
Learn more on exponential functions here: https://brainly.com/question/12940982
A grocery store introduced two new flavors of scones: cranberry and orange.
On the first day, 28 cranberry scones and 16 orange scones were sold.
Each day after that, 14 cranberry scones and 11 orange scones were sold.
Drag the tiles to complete the table. Each tile may be used once, more than once, or not at all.
Step-by-step explanation:
For the Cranberry Scones you all add 14 with it so 14+28=42 42+14=56 56+14=70 70+14=84. So, the answers on Cranberry scones are
28 42 56 70 84
Orange scones you add 11 to all of them so 11+16=27 27+11=38 38+11=49 49+11=60.So the answer on Orange Scones is
16 27 38 49 60
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (What is the circumference of the circle?)
Use the pythagorean theorem [tex]a^2+b^2 = c^2[/tex] to plug in a = 8 and b = 6. You should find that the hypotenuse is c = 10. The diameter of the circle is 10 units, which leads to the circumference of [tex]C = 10\pi[/tex]
Answer: [tex]\boldsymbol{10\pi}[/tex]Please help
Use the function f(x)=2−5x to fill out the table.
x f(x)
-2 ___
-1 ___
0 ___
1 ___
2 ___
Answer:
-2 12
-1 7
0 2
1 -3
2 -8
Step-by-step explanation:
[] With the function f(x)=2−5x we can tell that we will plug x into the equation without doing anything to it (x)
-2 ___
f(-2) = 2−5x
f(-2) = 2−5(-2)
f(-2) = 2 + 10
f(-2) = 12
-1 ___
f(-1) = 2−5x
f(-1) = 2−5(-1)
f(-1) = 2 + 5
f(-1) = 7
0 ___
f(0) = 2−5x
f(0) = 2−5(0)
f(0) = 2
1 ___
f(1) = 2−5x
f(1) = 2−5(1)
f(1) = 2 - 5
f(1) = -3
2 ___
f(2) = 2−5x
f(2) = 2−5(2)
f(2) = 2−5(2)
f(2) = 2−10
f(2) = -8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I am an odd number. Take away one letter and I become even. What number am I?
Answer:
seven
Step-by-step explanation:
Lol thxx for the points
Pls give brainliest! Also, plz sub to kgirl633 on yt.
Someone please help me!
Choose the symbol that correctly compares the fractions below.
Answer:
[tex] \frac{1}{8} < \frac{2}{7} [/tex]
1/8 < 2/7
Answer: B
#CarryOnLearning
It cost Faith $9.10 to send 91 text messages. How many text messages did she send if she spent $17.60?
Answer:
176
Step-by-step explanation:
9.10 / 91 = 1/10
17.60 x 1/10 = 176
What is an equation of the line that passes through the points (−3,8) and (-7, 8)
Answer:
y = 8
Step-by-step explanation:
Since the y- coordinates of the points are equal, both 8 , then
This indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (- 3, 8 ) and (- 7, 8 ) with y- coordinates 8 , then
y = 8 ← equation of line
Find the expected value of the winnings from a game that has the following payout probability distribution: Payout ($) 1 2 5 8 10 Probability 0.35 0.2 0.1 0.2 0.15 = Expected Value = [?] Round to the nearest hundredth. Enter
Multiply each payout by the corresponding probability, and add these up:
1•0.35 + 2•0.2 + 5•0.1 + 8•0.2 + 10•0.15 = 4.35
So one can expect to win $4.35 from playing the game.
The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.4 times every eight hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in an 11-hour period during which the center is open.
(a) Explain why the Poisson probability distribution would be a good choice for the random variable r.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are independent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.
What is ? (Round your answer to three decimal places.)
(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? (Round your answer to four decimal places.)
(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? (Round your answer to four decimal places.)
(d) What is the probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security? (Round your answer to four decimal places.)
Using the Poisson distribution, it is found that:
a) Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.b) 0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.c) 0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.d) 0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.Item a:
In this problem, we are given the mean during an interval, which is a common event(1.4 every 8 hours), and intervals can be assumed to be independent, hence, the correct option is:
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.Item b:
Mean of 1.4 every 8 hours, hence, every 11 hours, the mean is:
[tex]\mu = 11 \times \frac{1.4}{8} = 1.925[/tex]
The probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1459 = 0.8541[/tex]
0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.
Item c:
The probability is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Then:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]
[tex]P(X = 1) = \frac{e^{-1.925}(1.925)^{1}}{(1)!} = 0.2808[/tex]
[tex]P(X = 2) = \frac{e^{-1.925}(1.925)^{2}}{(2)!} = 0.2703[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1459 + 0.2808 + 0.2703 = 0.697[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.697 = 0.303[/tex]
0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.
Item d:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]
0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.
To learn more about the Poisson distribution, you can take a look at https://brainly.com/question/13971530
WILL GIVE BRAINLIEST TO
Answer: [tex]\frac{(y+2)^{2} }{4} - \frac{(x-4)^{2} }{9} =1[/tex]
Step-by-step explanation: Big brain
A book club charges an initial joining fee of $30.00. The cost per book is $7.00. The graph shows the cost of belonging to the club as a function of books purchased. How will the graph change if the cost per book goes up by $1.50? (The new function is shown by the dotted line.)
Answer:
$82.50
Step-by-step explanation:
You add seven dollars to $1.50 and you would get the sum of 8.50 then you multiply the amount of books purchased. The Equation is 5($8.50) + $30.00= 82.50
Sorry if I get this wrong.
Obet has to wrap 25 gifts for the party. He has wrapped 10 gifts already. What percentage of the task has he done?
with solution please :D
Answer:
40% is the solution 10÷25=0.40 which is well 40%
Write an equation in standard form for the line that passes through (-1, -2) and (3, 0).
What is the range of the relation below?
WORTH 50 POINTS. The graph represents the journey of a bus from the bus stop to different locations:
Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
Answer:
3
Step-by-step explanation:
What is the value of (-2.8)+0+(-2.6)+6.4
1.5kg : 350g solve the ratio
Step-by-step explanation:
convert kg into grams
1kg=1000g
1.5kg/350g=1.5×1000g/350
1500/350=300/70
=30/7
ratio will be 30:7
answer is 4.2g
The answer to the ratio is:
4.2g
First of all, we need to convert the kg to g
This can be done by multiplying the Kg by 1000
1.5kg x 1000= 1500g
Next, we solve the ratio since they are in the same parameters
This would be 1500g:350g
1500/350= 30/7.
Therefore, the ratio would be 30:7
Finally when further broken down, it would be 4.2g
Read more about ratio here:
https://brainly.com/question/13513438
Graph all solutions on a number line and provide the corresponding interval notation. 1. 3x + 5>-4 2. 2x+1> -1 3.5-6y < -1 4.7-9y> 43 5.6-a≤6
Graphs attached
Done!
Hopw it helps
someone please please please answer!!!
Answer:
7.07 or "5 × square root of 3"
Step-by-step explanation:
in an isosceles triangle, the longest side is equal to "x × square root of 3" while the other two sides equal x. hope this helps
9. Sofija buys a bracelet for $14.50 plus 8% tax.
Momoka buys a necklace for $12 plus 8% tax.
Enter the sum, in dollars, that Sofija and
Momoka paid, including tax.
Answer:
$12.96
Step-by-step explanation:
Before Tax Price: $12.00
Sale Tax: 8.00% or $0.96
After Tax Price: $12.96
What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
A metric drawing scale of 1:100 typically depicts units in
Answer:
This usual depicts units in centi-metre
Usually Centi-(and the unit you have)
Step-by-step explanation:
Because it is 1 in 100
100 is what centi means, so centi-metre
Like centipede, an insect with 100 legs
1:100 means 1 in 100
or one centi-metre
Hope this helps!
Please help me with this question. I will mark you brainliest.
Answer:
Option D : $153
This is how I got that:
9:30 AM to 1:15 PM = 3 hours and 45 minutes
The first hour charges $15 and for the remaining 2 hours and 45 minutes
Mr. Anand is charged 36$. Remember it says that each additional hour or part thereof, so the 2 hours and 45 minutes is considered 3 hours.
So our total for one paddle boat is $51
But Mr. Anand hired three boats so we simply times 51 by 3 and get our solution to the problem:
Mr. Anand must pay $153 or Option D
~That's All Folks~
-Siascon
what is an equation of the line that passes through points (4,-8) (-4,2)?
Answer:The equation of the line that passes through the points (–12, –8) and (–17, –16) is y + 16 = 8/5(x + 17). slope = (-16 + 8)/(-17 + 12) = -8/-5 = 8/5 y + 16 = 8/5(x + 17)
Step-by-step explanation:
Help pleasee :(
no links.
The sum of two angles of a triangle is
110°. Calculate the third angle in
degrees.
Answer:
70
Step-by-step explanation:
the sum of all angles is 180°
so 180-110= 70
Which algebraic function has a smaller rate of change than the equation?
f(x)=2x−9
can someone please tell me these answers
Answer:
1.
m= 1; b= 4
m= -4; b= 2
m= 1; b= 0
m= 3/2; b= -9
m= -7; b= 4/5
2. C
Step-by-step explanation:
Question 1.
Your slope equation is
y=mx+b
The number before the x is your slope. The number added or subtracted after is your b.
Question 2.
Slope is rise over run.