There is actually enough evidence for the manufacturer to believe that the mean number of hours and mobs will last has actually changed.
We are supposed to use Israel and
significance level α=.05 to perform hypothesis test on the statement of the manufacturer.
So Let's move into our worksheet, our population is 700, our sample size is 48.
The sample mean is 675
Sample standard deviation is 77.
So the first step is to state the null and alternative hypothesis and we have that our hate notes is based on the fact that μ is a cost of 700.
This is what the manufacturer wants, but she thinks that it might have changed probably lesser than or greater than Saddam is our alternative hypotheses, his meal is not equals to 700. So she is not sure whether it does, it's either decrease or increase but it has actually changed.
So after stating our null and alternative protesters, the next needs to state the decision rule that we will be using to either reject or accept the no like protesters.
So will be making a use of the PVA limited to make the decision. It is your roost is that if our evil is better than alpha we are supposed to accept, protesters and if our pivot is lesser than alpha, We are supposed to reject the null hypothesis is that our alpha is equals deserve .05.
So that being said it's time for us to move to draw our test statistics. Now for our test statistic is going to be AT. Test. Yes, our sample size is greater than 30. There's no issue with that. But we actually don't know the value of the population standard deviation. We are making use of the samples and activation which is 27. So that means it would be better if we use our T. Test as our test statistics. So our test statistic is a teacher has given towards us. T is a cost to extra minus meal divided by S divided by the square root of n. Our expert in this case is 6 75 minus. We have 700 divided by our s is 77 divided by the square root of 48. So let's do the math. 6 75 minus 700. We have a -25 divided by so we have 77 divided by the spirit of 48. We have this to be 11.11399. So uh -25 divided by 11.11399. We have our answer to be -2.249. So they simply implies that our test statistics is manners two points 249. So the next step is for us to get the p value attached to this test statistic scenes, we are using the p value method uh to make our decision. So we need a P value. We already have the level of significance. So to get the P value, we can decide to make itself. It it it's a distribution table but that will only give us a range of values in which the p value is located. It won't give us the actual P value. So most times we decide to use calculator to get the p value the exact p value. So our test is actually a two tailed tests were testing for a T score.
Our degree of freedom is the sample size minus one.
48-1=47
And our T score uh is minus two points 249.
So that we have a miners 2.249. And as you can see our p value here is 0.02 0.0294. T. Value is 0.029 so far. Alright, so there's our p value. So the next thing is to make our decision. So we have that as you can see their .0-9 Too far is actually lesser than 0.05 hands.
We make a decision by saying, we are going to reject the null hypothesis. So the decision is that we're going to be rejected the null hypothesis.
As a result, the manufacturer has sufficient reason to think that the average number of hours and mob duration have altered.
To learn more about hypothesis visit:
brainly.com/question/29519577
#SPJ4
-10 (x+3) - 6x + 5
O -41x
0 -16x - 25
O 3x + 5
O 4x + 35
se green's theorem to evaluate the line integral along the given positively oriented curve. c 5y 7e x dx 10x 9 cos(y2) dy c is the boundary of the region enclosed by the parabolas y
By using Green's Theorem, it can be calculated that
[tex]\int_c(5y+7e^x)dx+(10x+9cos(y^2))dy[/tex] = [tex]\frac{5}{3}[/tex]
What is Green's Theorem?
Green's Theorem gives a relationship between a line integral along a closed curve C and surface integral around plane region D bounded by C
By Green's Theorem,
[tex]\int_c Pdx+ Qdy = \int\int_D (\frac{\partial P}{\partial y} - \frac{\partial Q}{\partial x})dxdy[/tex]
To evaluate [tex]\int_c(5y+7e^x)dx+(10x+9cos(y^2))dy[/tex] using Green's Theorem,
Region is between the parabola [tex]y = x^2[/tex] and [tex]x = y^2[/tex]
To find point of intersection,
[tex]x = y^2\\x = (x^2)^2\\x = x^4\\x^4 - x = 0\\x(x^3 - 1) = 0\\x = 0 \ or \ x^3 - 1 = 0\\x = 0 \ or \ x^3 = 1\\x = 0 \ or \ x = 1[/tex]
Along y- axis the limit of integration is from y = [tex]x^2[/tex] to y = [tex]\sqrt{x}[/tex]
P = [tex]5y + 7e^x[/tex]
[tex]\frac{\partial P}{\partial y}[/tex] = 5
Q = [tex]10x + 9(cos(y^2))[/tex]
[tex]\frac{\partial Q}{\partial x}[/tex] = 10
By Green's Theorem,
[tex]\int_c(5y+7e^x)dx+(10x+9cos(y^2))dy[/tex]
= [tex]\int_{x = 0}^1\int_{y = x^2}^{\sqrt{x}}(10 -5)dxdy\\\\\int_{x = 0}^1\int_{y = x^2}^{\sqrt{x}}5dxdy\\\\\int_{x = 0}^1 5(\sqrt{x} - x^2)\\\\5[(\frac{2}{3})x^{\frac{3}{2}} - \frac{x^3}{3}]_0^1\\\\5(\frac{2}{3} -\frac{1}{3})\\\\\frac{5}{3}[/tex]
To learn more about Green's Theorem, refer to the link-
https://brainly.com/question/23265902
#SPJ4
the mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of per day. a sample of this radioactive substance was taken six days ago. if the sample has a mass of today, find the initial mass of the sample. round your answer to two decimal places.
The initial mass of the sample is =2.39 kg
Radioactivity=Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy.Radioactive describes something that exhibits or is caused by radioactivity. If something is radioactive, it emits radiation, which usually takes the form of electromagnetic waves or fast-moving elementary particles, such as protons or neutrons.
M(t)= Mo E =2.546 M(3)=2.54-02(3)
=2.54e -0.06
=2.39 kg (initial mass of the sample)
learn more about radioactive here
https://brainly.com/question/1236735
#SPJ4
Can someone explain what the rules are for division algorithm and what it means?
Division algorithm also known as Euclid division lemma.
This algorithm says when a number a is divided by a number b it gives the quotient q and the remainder r .
then a = bq + r where 0 ≤ r < b.
Dividend = Divisor × Quotient + Remainder
For more information related division algorithm
https://brainly.com/question/27893941
Which statements are true regarding the sequence below? Check all that apply.
20.4, 24, 244.
It can be represented using the formula f(x + 1) = (f(x)) when f(1) = 10.
It can be represented using the formula x=4
It can be represented using the formula fox)=
The domain of the sequence is all real numbers.
The range of the sequence is all natural numbers.
The statements that are true regarding the sequence below are
It can be represented using the formula f(x) = 10/3 (6/5)ˣ⁻¹The domain of the sequence is all real numbers.How to find the true statementsThe given sequence include 10/3, 4, 24/5, 244/25
Applying the formula f(x) = 10/3 (6/5)ˣ⁻¹ to it
for x = 1, f(x) = 10/3 (6/5)¹⁻¹ = 10/3
for x = 2, f(x) = 10/3 (6/5)²⁻¹ = 4
for x = 3, f(x) = 10/3 (6/5)³⁻¹ = 24/5
This shows that the formula works for it hence a correct statement
Real numbers include all positive and negative numbers, fractions and decimals alike and the domain are natural numbers which are part of real numbers
The range are also all real numbers and this go beyond natural numbers
Learn more about domain and range at:
https://brainly.com/question/1942755
#SPJ1
Work out
2 2/7 +1 1/4
Give your answer as a mixed number in its simplest form.
Answer:
It is 3 15/28.
Step-by-step explanation:
To solve this problem, we first need to add the whole numbers: 2 + 1 = 3. Next, we need to add the fractions. To do this, we need to find a common denominator for the fractions 2/7 and 1/4. A common denominator for these two fractions is 28, so we can convert the fractions to equivalent fractions with a denominator of 28: 2/7 is equivalent to 8/28 and 1/4 is equivalent to 7/28. With the fractions written in this form, we can add them to get 8/28 + 7/28 = 15/28.
Finally, we need to add the whole number 3 and the fraction 15/28 to get our final answer. To do this, we need to convert the fraction 15/28 to a mixed number. We can do this by dividing 15 by 28 to get a quotient of 0 and a remainder of 15. This means that the mixed number equivalent of 15/28 is 0 + 15/28. Therefore, our final answer is 3 + 0 + 15/28 = 3 + 15/28 = 3 15/28. This is the simplest form of the mixed number, so our final answer is 3 15/28.
schoepfle agency separates its accounts receivable into three age groups for purposes of estimating the percentage of uncollectible accounts. in addition, the balance of allowance for uncollectible accounts before adjustment is $12,500 (credit). accounts not yet due
a. total estimated uncollectible accounts is $21,190
b. to entry the adjustment, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690
a. to compute the estimated uncollectible accounts, we have to multiply the specific % to the accounts receivable plus the beginning balance;
•Accounts not due
$36,000 x 4% = $1,440
•Accounts 1 - 60 days past due
$21,000 x 25% = $5,250
•Accounts more than 60 days past due
$16,000 x 50% = $8,000
So the total uncollectible accounts would be; $6,500 + $1,440 + $5,250 + $8,000 = $21,190
b. to record the year-end adjustment of the uncollectible accounts, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690. This figure is the uncollectible amount we computed earlier based on the aging.
Therefore, the total estimated uncollectible accounts is $21,190 and to entry the adjustment, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690
To learn more about credit refer here
https://brainly.com/question/26867415
#SPJ4
Disclaimer
The question given by you is incomplete, so the above answer has been done as per a similar question
Spade Agency separates its accounts receivable into three age groups for purposes of estimating the percentage of uncollectible accounts. In addition, the balance of Allowance for Uncollectible Accounts before adjustment is $6,500 (credit).Accounts not yet due = $36,000; estimated uncollectible = 4%.Accounts 1–60 days past due = $21,000; estimated uncollectible = 25%.Accounts more than 60 days past due = $16,000; estimated uncollectible = 50%.Required:a. Compute the total estimated un-collectible accounts.b. Record the year-end adjustment for estmated un-collectable accounts.
the function f is continuous and differentiable on the closed interval [0,4]. the table above gives selected values of f on this interval. which of the following statements must be true?
As per the given function, the value of x is lies between the closed interval [0, 4].
The term function in statistics is defined as a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Here we have given that the function f is continuous and differentiable on the closed interval [0,4].
And we need to find correct statement about this interval.
As per the concept of function, we know that if there is a number c in the closed interval [a , b] such that f(c) ≥ f(x) for all x in [a , b].
Here let us consider that a be the number that has been selected.
So, based on the rule of function can be written as,
=> f(a) ≥ f(x)
where a lies between [0, 4].
To know more about function here.
https://brainly.com/question/28193995
#SPJ4
Consider the matrices
A= 4 7 , B= -2 3 . C= 3 4 -1, and D= 6
-3 8 0 5 2
-5 -2
What are the dimensions of the product matrix of two of these matrices?
Drag the matrix dimensions to each box to match the product.
BD 2 x 1
CA 3 x 3
DC 2 x 3
The dimensions of the product matrix of two of these matrices is BD = 2 * 1 , CA = 1 * 3 and DC = 2 * 3 .
Given :
The dimension of BD :
B dimensions = ( 2 * 2 )
D dimensions = ( 2 * 1 )
Product of BD dimensions = Numbers of rows of B * number of columns in D
= 2 * 1
The dimension of CA :
C dimensions = ( 1 * 3 )
A dimensions = ( 3 * 3 )
Product of CA dimensions = Numbers of rows of C * number of columns in A
= 1 * 3
The dimension of DC :
D dimensions = ( 2 * 1 )
C dimensions = ( 1 * 3 )
Product of CA dimensions = Numbers of rows of D * number of columns in A
= 2 * 3
Learn more about the matrix here:
https://brainly.com/question/28180105
#SPJ4
what should i write blank can someone help pls
The blanks are completed as follows:
s/(s² - 18s + 81) = s/(s - 9)².F(s) = s/(s - 9)².Then the inverse Laplace transform is given as follows:
f(t) = e^(9t) + 9te^(9t).
How to obtain the inverse Laplace transform?The function for this problem is given as follows:
F(s) = s/(s² - 18s + 81).
Completing the squares at the denominator, we have that:
F(s) = s/(s - 9)².
Applying partial fraction decomposition, the function can be defined as follows:
s/(s - 9)² = A/(s - 9) + B/(s - 9)²
Expanding the right side, we have that:
s/(s - 9)² = [A(s - 9) + B]/(s - 9)²
Hence:
As - 9A + B = s.
Then the system for the coefficients is given as follows:
A = 1.-9A + B = 10-> B = 9A -> B = 9.Thus the function in the transform domain is of:
F(s) = 1/(s - 9) + 9/(s - 9)².
Applying the inverse Laplace transform, the function in the time domain is given as follows:
f(t) = e^(9t) + 9te^(9t).
More can be learned about Laplace transforms at https://brainly.com/question/12491256
#SPJ1
HELP THERS MORE OF THESE
Answer:
y=5x
Step-by-step explanation:
intercept is 0
Slope is 5
c.96 test to see if there is evidence that the lie detector says a person is lying more than 50% of the time, regardless of what the person reads.
It is not possible for a lie detector, or any other type of technology, to accurately determine whether a person is lying more than 50% of the time. Lie detectors, also known as polygraph machines, measure physiological responses such as changes in heart rate, blood pressure, and respiration to determine if a person is telling the truth or not. However, these responses can be affected by many factors, such as anxiety or stress, and are not always reliable indicators of deception. In addition, people can learn how to manipulate their physiological responses in order to deceive the polygraph machine. Therefore, it is not accurate to say that a lie detector can determine whether a person is lying more than 50% of the time
To learn more about Lie detector follow link : https://brainly.com/question/29511484
#SPJ4
Use the diagram to answer the questions.
What is the value of x?
x =
What is the measure of angle B?
B =
What is the measure of the exterior angle ACD?
ACD =
The value of x is 21
The measure of angle B is 28°
The measure of exterior angle ACD is 63°
Calculating the measure of anglesFrom the question, we are to determine the measure of the angles.
From the given diagram, we can write that
35° + (x + 7)° = 3x° (Exterior angle theorem)
Solve for x in the equation
35° + (x + 7)° = 3x°
35° + x° + 7° = 3x°
35° + 7° = 3x° - x°
42° = 2x°
Divide both sides by 2
42°/2 = 2x°/2
21° = x°
Therefore,
x = 21
The measure of angle B is
Measure of angle B = (x + 7)°
Measure of angle B = (21 + 7)°
Measure of angle B = 28°
The measure of exterior angle ACD
Measure of exterior angle ACD = 3x°
Measure of exterior angle ACD = 3(21)°
Measure of exterior angle ACD = 63°'
Hence, the measure of the exterior angle is 63°
Learn more on Calculating angles here: https://brainly.com/question/25215131
#SPJ1
In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.
How much sales tax does Yuki pay for her handbag purchase?
Answer:
$18.15 of taxes
Step-by-step explanation:
based on the givens: 220 (4.6% + 3.65% )
calculate the sum or difference: 220 x 0.0825
calculate the product: 18.15
A photograph is 8 centimeters wide. After Kari enlarges the photograph, it is 3 times as wide as the original. How wide is the photograph in millimeters?
answer: should be
8 *3 =24 centimeters
1cm = 10mm
24cm = 240mm
the photograph is 240 mm
The width of the photograph in millimeters is 240 mm.
How to illustrate the scale?It should be noted that a scale factor simply shows the relationship between a shape abd the original value given.
In this situation, the photograph is 8 centimeters wide and after Kari enlarges the photograph, it is 3 times as wide as the original.
The photograph in millimeters will be:
= 8 × 3 × 10
= 240 millimeters.
Learn more about scale on:
brainly.com/question/25722260
#SPJ1
2
2
2
18. 1. The Cruisers scored a total of 105 points in a basketball game against the Strikers. The Cruisers had a total
of 43 baskets, some of which were two-point shots and some of which were three-point shots. How many
two-point and three-point shots did the Cruisers score?
The number of two-points and three points shot the cruisers scored are 24 and 19 respectively.
How to find the number of two and three points made?The Cruisers scored a total of 105 points in a basketball game against the Strikers. The Cruisers had a total of 43 baskets, some of which were two-point shots and some of which were three-point shots.
Therefore, the number of two-points and three-points the cruiser scored is as follows:
let
x = number of two-points
y = number of three-points
Hence, using equation
x + y = 43
2x + 3y = 105
Multiply equation(i) by 2
2x + 2y = 86
2x + 3y = 105
subtract equation(i) from equation(ii)
y = 19
Let's find x as follows:
x = 43 - 19
x = 24
Therefore,
number of two points = 24
number of three points = 19
learn more on equations here: https://brainly.com/question/18649329
#SPJ1
What are the vertex and range of y = |2x + 6| + 2? 1 (0, 2); 2 < y < ∞ 2 (0, 2); −∞ ≤ y < ∞ 3 (−3, 2); 2 < y < ∞ 4 (−3, 2); −∞ ≤ y < ∞
Answer: The vertex is at (-6, 2). The range is 2 < y < ∞.
Step-by-step explanation:
y = |2x + 6| + 2 is almost in vertex form, which is y = |x - h| + k. We will divide both values by 2, so the 2 coefficient is on the outside, y = 2|x + 3| + 2.
After this, we can see that the vertex is at (-h, k). This means the vertex is at (-3, 2).
For the range, since this V (the shape of an absolute value graph) opens upwards, it will be everything greater than and equal to the y value of the vertex, in this case, 2. That means our range is;
2 < y < ∞
Answer:
The answer is c, or (3, 2), 2 less than y is greater than infinity
Step-by-step explanation:
I got it right on the test
Have a good day and hope it helps!
A Find B in degrees. B a A = 34° a = 6 b = 5 C b B = [?] degrees Round to the nearest tenth.
The measure of the angle B is 28 degrees
How to determine the measure of angle BFrom the question, we have the following parameters that can be used in our computation:
A = 34 degrees
a = 6
b = 5
The measure of angle B can be calculated using the following sine ratio
a/sin(A) = b/sin(B)
Substitute the known values in the above equation, so, we have the following representation
6/sin(34) = 5/sin(B)
So, we have
10.73 = 5/sin(B)
Rewrite as
sin(B) = 5/10.73
Evaluate
sin(B) = 0.4660
Take the arc sin of both sides
B= 28
Hence, the angle is 28 degrees
Read more about angles at
https://brainly.com/question/7620723
#SPJ1
A fair coin is tossed 2 times in succession. The set of equally likely outcomes is {HH, HT, TH, TT}. Find the probability of getting exactly zero (0) heads.
The probability of getting exactly zero(0) means which comes with no head is P(no head)=1/4.
When a fair coin is tossed; any of the two outcomes are equally likely: head or tail denoted as 'h' and 't' respectively.
So, when a fair coin is tossed twice; the set of all possible outcomes is: {hh, ht, th, tt}.
Thus, there are 4 possible outcomes.
Probability of obtaining exactly 2 heads = (1 / 4) = 0.25Probability of obtaining no head = (1 / 4) = 0.25Probability of obtaining at least one head = (3 / 4) = 0.75Probability of obtaining a head and a tail = (2 / 4) = 0.5To know more about Probability:
https://brainly.com/question/10837034
#SPJ4
Peter deposited some money in a new checking account. Over time, he withdrew the same
amount of money each week to spend on movies and music. The table shows the balance in
Peter's checking account, in dollars, over time.
Time (t)
4 weeks
8 weeks
10 weeks
15 weeks
Balance (B)
$537
$449
$405
$295
How much money did Peter deposit in his checking account?
Complete the equation to represent the situation.
B =
t+
625 is the total amount deposited by Peter in his checking account.
1) According to question
Balance after 4 weeks= 537 (equation 1)
Balance after 8 weeks= 449 (equation 2)
Each week Peter withdraws same amount.
Let the same amount be x.
From equation 1 and 2
Money spent in 4 weeks = 537-449=88
Therefore money spent in one week = 88/4=22
So the amount deposited by Peter=537 +22x 4 weeks
=537+88=625
2) B=625-22t
For further information regarding linear equation in one variable
https://brainly.com/question/24794429
A systems analyst is testing the feasibility of using a new computer system. He wants to see if the new system uses less processing time than the old system. (Assume the original populations are normally distributed.) A sample of 25 jobs was selected and the processing time for each in seconds was recorded on each of the two systems. The results are as follows:Old System: mean = 27.2 seconds, s = 3.2 seconds, n - 25New System: mean = 24.3 seconds, s = 2.1 seconds, n = 25Difference (Old -New): mean = 2.9 seconds, s = 1.4 seconds, n = 25What is the alternative hypothesis for this problem?a. HA: µD≠0b. HA: µD>0c. HA: µD=0d. HA: µD<0
the null hypothesis is that the mean difference between the two systems is 0 (H0: µD=0).The alternative hypothesis for this problem is HA: µD>0.
The alternative hypothesis (HA) is the opposite of the null hypothesis (H0).
In this problem, the null hypothesis is that the mean difference between the two systems is 0 (H0: µD=0).
Therefore, the alternative hypothesis is that the mean difference between the two systems is greater than 0 (HA: µD>0).The mean difference of the two systems is 2.9 seconds. Therefore, the alternative hypothesis is that the mean difference between the two systems is greater than 0 (HA: µD>0).
Learn more about null hypothesis here
https://brainly.com/question/28920252
#SPJ4
Please help!! Solve x^2 = 36 for x. I think it may be A not so sure tho.
Answer: You are correct
Step-by-step explanation:
Evaluate the line integral, where C is the given plane curve. 1649 (x®y + sin(x)) dy, C is the arc of the parabola y = x2 from (0, 0) to (1, x2)
Line integral will be ∫c(x²y + sinx )dy = 1/3π²×π³ + 2π
Given:
C is the arc of parabola y = x² from (0,0) to (π,π²)
Let x be the parameter ; since the parabola is given as function of x
the parametric equations are
x=x,y=x², for 0≤x≤π
By using concept
∫c(x²y + sinx)dy = [tex]\int\limits^0_x {(x^2(x^2) + sinx} \, ).2xdx[/tex]
by applying the limits of integration we get ,
= 2 [ π².π³/6 + [ -πcosπ + sinπ - (0 + sin0)] ]
by calculating,
= 2 ( π².π³/6 + π )
= 1/3 π².π³ + 2π
Thus,
∫c(x²y + sinx )dy = 1/3π²×π³ + 2π
To learn more about the parabola
https://brainly.com/question/29580436
#SPJ4
the post offices calculate shipping costs based on the weight of the item in addition to a fee. The cost to ship a 2 pound item is 6.09, while the cost to ship a 7 pound item is
8.84. Find the rate of change of the cost with respect to the weight of the item
The rate of change of the cost with respect to the weight of the item is equal to 0.55.
What is the rate of change?Mathematically, the rate of change is also referred to as slope or gradient and it can be calculated by using this formula;
Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Rate of change, m = (y₂ - y₁)/(x₂ - x₁)
Next, we would determine the rate of change of the shipping costs (y) with respect to the weight of the item (x), with the following data points (2, 7) and (6.09, 8.84):
Rate of change, m = (8.84 - 6.09)/(7 - 2)
Rate of change, m = 2.75/5
Rate of change, m = 0.55.
Read more on rate of change here: brainly.com/question/4184462
#SPJ1
Suppose That A Vector Y Is Orthogonal To Vectors U And V. Show That Y Is Orthogonal To The Vector U + V.
A vector Y is orthogonal to vectors U and V, so Y is orthogonal to the vector (U+V).
In the given question,
Suppose that a vector Y is Orthogonal to vectors U And V.
We have to show that Y is orthogonal to the vector U + V.
As to vectors are orthogonal if and only if their dot product is zero.
So Y∙U = 0 and Y∙V = 0.
To prove that Y is orthogonal to the vector(U+V), we have to show that Y∙(U+V) = 0.
As dot product is distributive. Now
Y∙(U+V) = Y∙U + Y∙V
As Y∙U = 0 and Y∙V = 0. So
Y∙(U+V) = 0 + 0
Y∙(U+V) = 0
Hence, Y is orthogonal to the vector (U+V).
To learn more about orthogonal vector link is here
brainly.com/question/29112771
#SPJ4
A population numbers 12,000 organisms initially and grows by 17.5% each year.
Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a â‹… b t where
P =
A population numbers 12,000 organisms initially and grows by 17.5% each year. The growth function of the population is P = 12,000 x 1.175^t
An exponential growth function can be written as:
P = A (1 + r)ⁿ
Where:
P = quantity after n periods
n = number of periods
r = growth rate per period
A = initial quantity
In the given problem, the period is the number of years t
A = 12,000
r = 17.5% = 0.175
Hence, the growth function:
P = 12,000 (1 + 0.175)^t
P = 12,000 x 1.175^t
Your question is incomplete, but most probably your question was:
A population numbers 12,000 organisms initially and grows by 17.5% each year. Suppose P represents population, and t the number of years of growth, write the function in terms of t.
Learn more about growth model here:
https://brainly.com/question/20291621
#SPJ4
How do I solve this problem?
5 + 2/3 ( 2p - 6 ) = 9
Answer:
p = 6
Step-by-step explanation:
5 + 2/3 (2p - 6) = 9
5 + 4/3p - 4 = 9
1 + 4/3p = 9
4/3p = 8
p = 6
Answer:
p= 6
Step-by-step explanation:
Solve for p:
(2 (2 p - 6))/3 + 5 = 9
Put each term in (2 (2 p - 6))/3 + 5 over the common denominator 3: (2 (2 p - 6))/3 + 5 = 15/3 + (2 (2 p - 6))/3:
(15/3 + (2 (2 p - 6))/3) = 9
15/3 + (2 (2 p - 6))/3 = (2 (2 p - 6) + 15)/3:
((2 (2 p - 6) + 15)/3) = 9
2 (2 p - 6) = 4 p - 12:
((4 p - 12) + 15)/3 = 9
Grouping like terms, 4 p - 12 + 15 = 4 p + (15 - 12):
(4 p + (15 - 12))/3 = 9
15 - 12 = 3:
(4 p + 3)/3 = 9
Multiply both sides of (4 p + 3)/3 = 9 by 3:
(3 (4 p + 3))/3 = 3×9
(3 (4 p + 3))/3 = 3/3×(4 p + 3) = 4 p + 3:
(4 p + 3) = 3×9
3×9 = 27:
4 p + 3 = 27
Subtract 3 from both sides:
4 p + (3 - 3) = 27 - 3
3 - 3 = 0:
4 p = 27 - 3
27 - 3 = 24:
4 p = 24
Divide both sides of 4 p = 24 by 4:
(4 p)/4 = 24/4
4/4 = 1:
p = 24/4
The gcd of 24 and 4 is 4, so 24/4 = (4×6)/(4×1) = 4/4×6 = 6:
Answer: p = 6
Sarah budgeted $100 for new art supplies. When Sarah purchased the supplies, she
spend $75. What type of variance does this represent?
The variance is a positive variance because the actual amount spent by Sarah was less than the budgeted amount
How to know the type of variance?A variance is the difference between the budgeted amount and the actual amount. It can be positive or negative, depending on whether the actual amount is more or less than the budgeted amount
Given that, Sarah budgeted $100 for new art supplies and spent $75
Variance = $100 - $75 = $25
Therefore, the variance is a positive variance, since the actual amount spent was less than the budgeted amount. A positive variance represents a favorable situation, where the actual amount spent was less than the budgeted amount
Learn more about variance on:
brainly.com/question/9304306
#SPJ1
Part A:
Describe two possible financial goals for which you may require $12,000. Classify each as a want or need. Do research to ensure that amount is enough for your goal.
Part B:
Create and describe three possible investments to reach your goal within five (5) years. Investment 1 is a simple interest investment with 3% annual interest. How much would you need to invest at the beginning? Investment 2 is a compound interest investment, with 3% annual interest compounded monthly. How much would you need to invest at the beginning?
Investment 3 is a regular deposit in an account that earns 3% compound interest, compounded once per year. How much do you need to deposit, and how often will you deposit it, to reach it Part C:
Calculate and describe the total interest earned on each of your three investments. Explain your thinking and show your work.
Part A: Two possible financial goals that may require $12,000 is to save for home ownership and education.
Part B: Three possible initial investments to reach the goal of having a future value of $12,000 in 5 years are:
Investment 1: initial investments of $10,435Investment 2: initial investments of $10,330.43Investment 3: Annual Deposit of $2,194.42.Part C: The total interest earned on each investment is as follows:
Investment 1: $1,565Investment 2: $1,669.57Investment 3: $1,027.90.How are the total interests computed?The total interest for investment 1 is a product of simple interest formula, which multiplies the principal, interest rate, and time.
The total interests for investments 2 and 3 are the results of the online finance calculator., which inputs the future value, compound interest rate, and compounding period.
Investment 1:Future value = $12,000
Investment Period = 5 years
Simple interest rate = 3% or 0.03
Initial investment, P = A/(1 + rt)
Where P = principal
A = Future Value
r = interest rate
t = time
P = $12,000/(1 + 0.03 x 5)
= 12,000/(1.15)
= $10,435
Total Interest = $1,565 ($12,000 - $10435) or ($10,435 x 3% x 5)
Investment 2:Future value = $12,000
Investment Period = 5 years
Compound interest rate = 3% or 0.03 monthly
N (# of periods) = 60 months (5 years x 12)
I/Y (Interest per year) = 3%
PMT (Periodic Payment) = $0
FV (Future Value) = $12,000
Results:
Present Value (PV) = $10,330.43
Total Interest = $1,669.57
Investment 3:Future value = $12,000
Investment Period = 5 years
Compound interest rate = 3% or 0.03 annually
N (# of periods) = 5 years
I/Y (Interest per year) = 3%
PV (Present Value) = $0
FV (Future Value) = $12,000
Results:
Periodic Deposits = $2,194.42
Sum of all periodic payments = $10,972.10
Total Interest = $1,027.90
Learn more about simple and compound interests at https://brainly.com/question/3402162
#SPJ1
you flip a weighted coin that comes up heads 40% of the time and tails 60%. if you flip this coin 5 times, what is the probability that you see at least 3 tails, rounded to the nearest percent? please input your answer as a decimal rounded to the nearest hundreth
The probability that in 5 flips, at least 3 tails will come will be 0.36.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.Given is that you flipped a weighted coin that comes up heads 40% of the time and tails 60%.
The coin shows up heads 40% of the time and tails 60%, this means that the probability of turning to tails would be 0.6 . For 5 flips that, the probability that at least 3 tails will come will be -
P{A} = (0.6 + 0.6 + 0.6)/5 = 1.8/5 = 0.36
P{A} = 0.36
Therefore, the probability that in 5 flips, at least 3 tails will come will be 0.36
To solve more questions on Probability, visit the link below -
brainly.com/question/24028840
#SPJ1