The exponential equation is given by y = 700(2)ˣ
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of fish after x hours.
Given that he starts with 700 fishes, hence
a = 700
The population of the fish doubles every year, hence:
b = 2
The exponential equation becomes:
y = 700(2)ˣ
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Every Thursday, Matt and Dave's Video Venture has “roll-the-dice" day. A customer may choose to roll two fair dice and rent a second movie for an
amount (in cents) equal to the numbers uppermost on the dice, with the larger number first. For example, if the customer rolls a two and a four, a
second movie may be rented for $0.42. If a two and two are rolled, a second movie may be rented for $0.22. Let X represent the amount paid for a
second movie on roll-the-dice day. The expected value of X is $0.47 and the standard deviation of X is $0.15.
If a customer rolls the dice and rents a second movie every Thursday for 30 consecutive weeks, what is the approximate probability that the total
amount paid for these second movies will exceed $15.00?
I saw other questions for this but why is the standard deviation 0.15*sqrt of 30 and not 0.15*30 because I thought this is a linear transformation
Using the normal distribution, it is found that there is a 0.1357 = 13.57% probability that the total amount paid for these second movies will exceed $15.00.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard error is [tex]s = \sigma\sqrt{n}[/tex]In this problem:
Mean of $0.47, standard deviation $0.15, hence [tex]\mu = 0.47, \sigma = 0.15[/tex]30 instances, hence [tex]n\mu = 30(0.47) = 14.1, s = 0.15\sqrt{30} = 0.8216[/tex]The probability is 1 subtracted by the p-value of Z when X = 15, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Considering the n instances:
[tex]Z = \frac{X - n\mu}{s}[/tex]
[tex]Z = \frac{15 - 14.1}{0.8216}[/tex]
[tex]Z = 1.1[/tex]
[tex]Z = 1.1[/tex] has a p-value of 0.8643.
1 - 0.8643 = 0.1357.
0.1357 = 13.57% probability that the total amount paid for these second movies will exceed $15.00.
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If you have three apples, and Jamal takes two.... what color is Jamal?
Answer:
Black
Step-by-step explanation:
A bag contains three green marbels and eight white marbels. suppose in marble is randomly selected. what are the odds in favor of picking a white marble?
A. 8 to 3
B. 8 to 11
C. 3 to 8
D. 3 to 11
Answer:
A. 8 to 3
Step-by-step explanation:
since its in favor, the amnt of white marbles goes first.
whats -3u + 5 if u=2
Answer:
-1
Step-by-step explanation:
-3(2) = -6 + 5 = -1
Answer:
-1
Step-by-step explanation:
-3u + 5 =?
when u=2
= -3(2) + 5
= -6 + 5
= -1
What is the number that is greater than 0.13 but smaller than 0.131
Answer:
any number between the two
for example: 0.1309, 0.1308, 0.1301, etc.
Step-by-step explanation:
hope this helped :)
Step-by-step explanation:
0.1308, 0.1309, 0.1301
Find NMC triangle's perimeter if BO:BK=1:3 and ABC triangle's perimeter is 96
Answer:
80
Step-by-step explanation:
If we assume the triangles are similar and are isosceles, and that BK is an altitude, then we can work the problem.
Triangle OKN will be similar to triangle BKA, so ...
AN : AK = BO : BK = 1 : 3
Then ...
AN : AK : KC = 1 : 3 : 3
In terms of ratio units, ...
AN = 1
AC = 3+3 = 6
NC = 6-1 = 5
This means NC : AC = 5 : 6. The triangle perimeters will have the same ratio.
perimeter(NMC) = 5/6·perimeter(ABC) = 5/6·96
perimeter(NMC) = 80
PLEASE HELP WILL GIVE BRAINLIEST AND 30 POINTS!!!!!
This is an assignment in Algebra 1 discussing growth and decay. Specifically car depreciation. Over the years car's prices go down. I basically had to calculate the percentage of how much this car's price dropped. So I calculated what it dropped every year now I need to do every month but I'm not sure how to do that.
First pic: the annual rate
Second pic: my annual rate calculations/percentages
Third pic: what I have so far for the monthly rate but its all wrong because my calculations don't match up but I think it's close
Answer:
Step-by-step explanation:
If the price is supposed to be dropping with each year, maybe your year/price chart would reflect that. Seems to me that the price rose between 2015 and 2016 and even by 2017 the value was still higher than it was in 2015.
I have no way of knowing how to fix this.
Let's ASSUME that the 2015 price was $71,445 and that the 2016 and 2017 prices are valid.
the decrease between 2015 and 2016 is (71445 - 68640) / 71445 = 0.03926
or 3.926%
the decrease between 2016 and 2017 is (68640 - 65945)/68640 = 0.03926
or 3.926%
so the price each year after new is
p = 71445(1 - 0.03926)ⁿ
or
71445(0.96074)ⁿ
where n is the number of years.
To get the monthly version, we divide the decrease by 12
p = 71445(1 - 0.03926/12)ˣ
or
p = 71445(1 - 0.00327)ˣ
or
p = 71445(0.99673)ˣ
where x is the number of months since new.
This may not be your exact answer, but the same method can be used if you get real numbers.
help me my shawtys
6 − x = −12
Answer:
D.18
Step-by-step explanation:
6-x=-12
-x=-12-6
-x=-18 divide both sides by -1
x=18
Rationalize the denominator and simplify.
6
15 - 3
Answer:
[tex]a)6 = \frac{6}{1} = 6 \: \: \: b)15 - 3 = \frac{15}{3} = 5[/tex]
A person can spend at most $12 on corn oil and cereal. A bottle of corn oil costs $3 and a box of cereal costs $2. Identify the inequality and the graph that describe the situation where x is the number of bottles of corn oil and y is the number of boxes of cereal.
Answer:
Step-by-step explanation:
12 x 3=36 yx
12x2x3= 72 x*y
The domain of y = cosx is the set of real numbers. True False
Answer:
true
Step-by-step explanation:
4. If Il k and k // m, then
if
t // kk // mthen t // m is correct answerbcaz according to property of transitivity
An example of a transitive law is “If a is equal to b and b is equal to c, then a is equal to c.” There are transitive laws for some relations but not for others. A transitive relation is one that holds between a and c if it also holds between a and b and between b and c for any substitution of objects for a, b, and c.
Three more than the product of 24 and Matt's height
Answer:
24m + 3 or (24 × m) + 3
Step-by-step explanation:
product = multiplying
matts height = variable
more than = addition
add together and that's your algebraic expression hope this helps :)
Please help me... I really need it.
Answer:
If you are writing a seesya let me help you
Step-by-step explanation:
Make sure to hilight key info
Also use grammarly to correct past tense and sentences
Make sure to make sense
Mark has a certain amount budgeted for dining out each month. Last month, the difference between the amount he budgeted and the amount he actually spent on dining out was less than -20 dollars.
Which of the following best describes this situation?
A.
Mark is under his budget by less than 20 dollars.
B.
Mark is under his budget by more than 20 dollars.
C.
Mark is over his budget by less than 20 dollars.
D.
Mark is over his budget by more than 20 dollars.
Simplify 1/3 (5x-8)+2/3x
Answer:
7x-8
3
Step-by-step explanation:
Answer:
2 1/3x - 2 2/3
Step-by-step explanation:
1/3 x 5
1/3 x -8
and add 2/3x to the mix
so
1 2/3x - 2 2/3x + 2/3x = 2 1/3x - 2 2/3
What is the volume of the box of snacks if the height is 7 inches?
(MUST BE DONE BY TOMORROW!)
Answer:
it's a
Step-by-step explanation:
the formula for volume is height×width×length
7×4×3=84
voila!
how do i solve for this?
Answer:
see explanation
Step-by-step explanation:
(16)
The mid segment ZW is half the sum of the parallel bases
ZW = [tex]\frac{38+20}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29
(17)
The lower base angles are congruent , so
∠ UYX = ∠ VXY = 35°
(18)
Any lower base angle is supplementary to any upper base angle , then
∠ VUY = 180° - ∠ UYX = 180° - 35° = 145°
(19)
[tex]\frac{UV+XY}{2}[/tex] = ZW
[tex]\frac{3x-1+7x+1}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )
10x = 20 ( divide both sides by 10 )
x = 2
Then
XY = 7x + 1 = 7(2) + 1 = 14 + 1 = 15
(20)
The legs are congruent , so
UY = VX
5a - 6 = 3a + 2 ( subtract 3a from both sides )
2a - 6 = 2 ( add 6 to both sides )
2a = 8 ( divide both sides by 2 )
a = 4
Determine whether each sequence is arithmetic, geometric, or neither. Explain
-6, -3, 0, 3, ...
Answer:
Its arithmetic because it's being added 3 each time.
Answer:
Arithmetic
Step-by-step explanation:
Arithmetic refers to addition and subtraction. Geometric refers to multiplication and division.
In this instance, the sequence has a common difference of 3 (3 is added as the sequence continues).
The functionſ is defined by f(x) = x.
Write down the expression for h (x).
Answer:
h(x) = |x + 4| - 2
Step-by-step explanation:
Translation of functions:
- 4 on the x-axis ⇒ |x + 4|
- 2 on the y-axis ⇒ -2
What is the solution to this question im putting all my points on it. 3(a- 4) + 1 =9-a
2
2
iw
Question 2 (1 point)
1) Listen
5
Opening an industry to international competition tends to:
O increase X-inefficiency.
O force lazy monopolists to increase efficiency.
O increase the incidence of lazy monopolists.
raise a monopolist's profit as the price is driven up.
Answer:
increse X-inefficiency is the answer
Step-by-step explanation: im here to help
ements
Question 8
1 pts
(08.02 MC)
Rewrite x2 - 2x - 3-0 in the form (x -a)? - b, where a and b are integers, to determine the a and b
values.
Oa-4 and b3
O a-3 and b 2
Oa-2 and b 1
Oa - 1 and b 4
Question 9
1 pts
Step-by-step explanation:
Given,
x² - 2x - 3 = 0
x² - (3x - x) - 3 = 0
x² - 3x + x - 3 = 0
x(x - 3) + 1(x - 3) = 0
(x - 3)(x + 1) = 0
x = 3 & -1
Now,
a and b are integers
So
a = 3 & b = -1 or
a = -1 & b = 3
Answer:
a = 3 , b = -1 or a = -1 , b = 3
Step-by-step explanation:
x² - 2x - 3 = 0
x² - 3x + 1x - 3 = 0
x ( x - 3 ) +1 ( x - 3 ) = 0
( x - 3 ) ( x + 1 ) = 0
So,
x - 3 = 0 or x + 1 = 0
x = 0 + 3 x = 0 - 1
x = 3 x = -1
Therefore,
( x - a) ( x - b )
As a and b are integers
It can be,
a = 3 , b = -1 or a = -1 , b = 3
Hope this helps you.
Let me know if you have any other questions :-)
Need help please and thank you.
Answer:
[tex]log_4(\frac{1}{64})=-3[/tex]
Step-by-step explanation:
[tex]log_b(b^x)=x[/tex]
Let b = base and x = the exponentLooking at the equation given, we know the base (the number with the exponent) is 4, the exponent itself is -3, and the value is 1/64. Based on this information, fill in the formula and simplify any values.
[tex]log_4(4^{-3})=-3\\log_4(\frac{1}{64})=-3[/tex]
Therefore, the logarithmic form is [tex]log_4(\frac{1}{64})=-3[/tex].
Sara earns a basic salary of 14250 every month with an additional 12% commission on her sales. If Sara sold items worth AED 22264 last month, what was her total pay?
a. AED 16921.68
b. AED 24935.68
c. AED 1710
d. AED 2671.68
Answer:
A
Step-by-step explanation:
Commission: 22264*0.12=2671.68
Total pay: 14250+2671.68=16921.68
The total pay of Sara after adding the commission is: Option A: AED 16921.68
How to find the net income?Sara's total pay consists of her basic salary plus the commission on her sales.
Basic salary = AED 14250
Commission on sales = 12% of AED 22264
Commission = 0.12 * 22264
Now, calculate the commission:
Commission = 0.12 * 22264 = AED 2671.68
Total pay = Basic salary + Commission
Total pay = 14250 + 2671.68 = AED 16921.68
So, Sara's total pay is AED 16921.68
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the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer to two decimal places
Answer:
45.05 seconds
Step-by-step explanation:
Use the formula: d = v[tex]i[/tex] t + [tex]\frac{1}{2}[/tex] a[tex]t^{2}[/tex]
d = distance v[tex]i[/tex] = initial velocity (m/s)
t = time (s) a = acceleration (m/[tex]s^{2}[/tex])
m is meters and s is seconds. They are units of measurement so leave them be.
Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.
The distance is 725 feet, which is 220.98 meters.
The acceleration is 9.81m/[tex]s^{2}[/tex] since that is the acceleration of Earth's gravity, aka free fall.
Time is what we are trying to find so just leave it as the variable t.
So plug the values into the equation:
220.98m = (0)(t) + [tex]\frac{1}{2}[/tex] (9.81m/[tex]s^{2}[/tex])(t)
220.98m = (4.905m/[tex]s^{2}[/tex])(t)
45.0519877676s = t
t = 45.05s
Remember to pay attention to units because your answer will be wrong otherwise
Solve for x (13x + 2) (5x - 7) (3x - 4)
Thank you
[tex]\huge \bf༆ Answer ༄[/tex]
As we know, sum of interior angles of a triangle is 180°
that is ~
[tex] \sf13x + 2 + 5x - 7 + 3x - 4 = 180[/tex][tex] \sf21x - 9 = 180 [/tex][tex] \sf21x = 180 + 9[/tex][tex] \sf x = \dfrac{189}{21} [/tex][tex] \sf x = 9 \degree[/tex]
Hence, value of x is 9°
Answer:
x = 9Step-by-step explanation:
Sum of interior angles is 180:
(13x + 2) + (5x - 7) + (3x - 4) = 18021x - 9 = 18021x = 189x = 189/21x = 9Consider this diagram of quadrilateral ABCD, which is not drawn to scale.
Answers: Choice B and Choice D.
[tex]\angle ABE \cong \angle CDE[/tex] and [tex]\overline{AE} \cong \overline{CE}[/tex]
=====================================================
Explanation:
The tickmarks tell us which segments are congruent to one another. The segments with single tickmarks show that AE and CE are the same length. So this is why [tex]\overline{AE} \cong \overline{CE}[/tex]
---------------
The two triangles AEB and CED can be proven congruent through the use of the SAS theorem. From there, use CPCTC to conclude that the corresponding angles ABE and CDE are the same measure i.e. [tex]\angle ABE \cong \angle CDE[/tex]. They are alternate interior angles which helps lead to side AB being parallel to CD.
Answer:
B & D or <ABE=<CDE, AE=CE
Step-by-step explanation:
I got it right on khan
Evaluate - 1 - ( - z ) where z = -2
Answer:
-3
Step-by-step explanation:
To solve you replace the -z with 2 because the -2=z not -z. With the z in parenthesis being negative it basically means invers so you would put the invers or opposite of -2 in the parentheses.
-1-(2)
-1+-2
=-3
The value of the expression -1 - (-z) where z = -2 is -3.
How to determine the value of the expressionTo evaluate the expression -1 - (-z) where z = -2, follow these steps:
Replace z with -2 in the expression:
= -1 - (-(-2))
Simplify the double negative:
= -1 - (2)
Perform the subtraction:
= -3
So, the value of the expression -1 - (-z) where z = -2 is -3.
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Factor 1/5 out of 1/5x - 3/5
[tex]\dfrac 15 x - \dfrac 35\\\\\\=\dfrac 15 x- \dfrac 15 \cdot 3\\\\\\=\dfrac 15(x-3)[/tex]