A population numbers 10,000 organisms initially and decreases by 4.1% 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 b where
P=
Answers
Answer:
[tex]y = 10000 * 0.959^t[/tex]
Step-by-step explanation:
Given
[tex]a = 10000[/tex]
[tex]r = 4.1\%[/tex]
Required
Express as an exponential function [tex]y =ab^t[/tex]
First, we calculate the value of b;
Since the population decrease, then
[tex]b = 1 - r[/tex] --- This represents decrement of decay factor
Substitute [tex]r = 4.1\%[/tex]
[tex]b = 1- 4.1\%[/tex]
[tex]b = 0.959[/tex]
So:
[tex]y =ab^t[/tex] becomes
[tex]y = 10000 * 0.959^t[/tex]
Related Questions
What if the value of <5
Answers
Answer:
any number from -infinity to 4 is the value less then 5
With double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health insurance coverage (USA Today, January 23, 2004). The following sample data provide a comparison of workers with and without health insurance coverage for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than 100 employees. Medium companies have 100 to 999 employees, and large companies have 1000 or more employees. Sample data are reported for 50 employees of small companies, 75 employees of medium companies, and 100 employees of large companies.
Health Insurance
Size of Company Yes No Total
Small 33 17 50
Medium 68 7 75
Large 88 12 100
Conduct a test of independence to determine whether employee health insurance coverage is independent of the size of the company. Use = .05.
1. Compute the value of the 2 test statistic (to 2 decimals).
2. The p value is :_____.
a. less than .005
b. between .005 and .01
c. between .01 and .025
d. between .025 and .05
e. between .05 and .10
f. greater than .10
3. What is your conclusion?
a. health insurance coverage is not independent of the size of the company
b. Cannot reject the assumption that health insurance coverage and size of the company are independent
4. The USA Today article indicated employees of small companies are more likely to lack health insurance coverage. Calculate the percentages of employees without health insurance based on company size (to the nearest whole number).
Small %
Medium %
Large %
Answers
Answer:
1. χ² = 15.3902
2. The p value is :_____.a. less than .005
3. Conclusion
a. health insurance coverage is not independent of the size of the company
4. The percentages of employees
Small %= 33/50= 0.66
Medium %= 68/75 = 0.91
Large %= 88/100= 0.88
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: the employee health insurance coverage is independent of the size of the company
against the claim
Ha: the employee health insurance coverage is not independent of the size of the company
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with ( 3-1) (2-1)= 2 d.f
4) Computations:
Under H0 , the observed frequencies are :
Observed Expected E (O-E) (O-E)² (O-E)²/E
33 42 -9 81 1.928
68 63 5 25 0.3968
88 84 4 16 0.1904
17 8 9 81 10.125
7 12 -5 21 1.75
12 16 -4 16 1
15.3902
Expected Values are calculated using the formula :
Row Total * Column Total / sample size
E1= (33+17) (33+ 68+88)/ 50+75+100= 42
E4= (33+17) (17+ 7+ 12)/ 50+75+100=8
E2= (68+7) (33+ 68+88)/ 50+75+100= 63
E5= (68+7) (17+ 7+ 12)/ 50+75+100= 12
E3= (88+12) (33+ 68+88)/ 50+75+100= 84
E6= (88+12) (17+ 7+ 12)/ 50+75+100= 16
5) The critical region is χ² ≥ χ² (0.05)2 = 5.99
6) Conclusion:
The calculated χ² = 15.3902 falls in the critical region χ² ≥ 5.99 so we reject the null hypothesis that the employee health insurance coverage is NOT independent of the size of the company.
2. The p value is :_____.
a. less than .005
The p-value is .000385.
3. Conclusion
a. health insurance coverage is not independent of the size of the company
4. The percentages of employees
Small %= 33/50= 0.66
Medium %= 68/75 = 0.91
Large %= 88/100= 0.88
13/4 + c = 3/4 what’s c,?
Answers
Answer:
c = -2.5
Step-by-step explanation:
13/4 + c =3/4
2.5 + c = 0
c=-2.5
If 43x-2=4 x+1, then x
Answers
Answer:
Step-by-step explanation:
Picture has the answer, not a bad picture I promise.
Step-by-step explanation:
43x-4x=1+2
39x/39=3/39
x=0.076
8 The circle graph below shows the number of votes each candidate received in a recent student
council election.
Student Council Election
Votes Received
Jacob
60
Elias
25
Jade
40
What percentage of the votes did Jacob receive?
F 36%
G 44%
H 48%
J 60%
Answers
Answer:
60%
Step-by-step explanation:
LOOK AT THE PHOTO HELP ME PLEASE
Answers
Answer:
30°
Step-by-step explanation:
[tex] m\angle 2=m\angle 3[/tex]
(Alternate angles)
[tex] \because m\angle 3 =30\degree [/tex] (Given)
[tex] \therefore m\angle 2 =30\degree [/tex]
Which expressions are equivalent to the one below? Check all that apply. 5^3 • 5^x
A. 5^3 + x
B. 125•5^3
C. (5 • x)^3
D. 25^3x
E. 53^3x
F. 53^3-x
Answers
Hi there, I'll help you out :)
The expression that is equivalent to 5^3 • 5^x is A. If you solve the expression given in the question, you get 5^3 + x, which is exactly the same as the first choice.
- B gives you 15625
- C gives you 125x^3
- D gives you 15625^x
- E gives you 148,877^x
- F can't really be solved
Because none of the other answer choices match up, that leaves A as your only answer.
Hope this helps!
The expressions which are equivalent to the one given below are 5³⁺ˣ and 125 (5ˣ).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
5³ . 5ˣ
We have the product rule of exponents that,
xᵃ . xᵇ = xᵃ⁺ᵇ
Using the same here,
5³ . 5ˣ = 5³⁺ˣ ------(1)
Now the value of 5³ = 5 × 5 × 5 = 125
So, 5³ . 5ˣ = 125 (5ˣ) --------(2)
Hence the equivalent expressions are 5³⁺ˣ and 125 (5ˣ).
Learn more about Expressions here :
https://brainly.com/question/28170201
#SPJ7
Which of the following inequalities is correct
Answers
Converted and written correctly, your options are
A: 12.5 pounds = 200 ounces
B: 490 ounces > 480 ounces (= 30 pounds)
C: 6 tons = 12,000 pounds > 10,000 pounds
D: 8,000 pounds = 4 tons
Please help!!!!!!!!!
Answers
Answer:
-1 is the remainder
hope it helps
What’s the volume of 9 cm 6 cm 4 cm
Answers
Answer:
bro tell me the shape
Step-by-step explanation:
Find an equation in slope-intercept form of the line that has slope 2 and passes through point A(-3. - 1)
Answers
Answer:
Step-by-step explanation:
m = 2 ; x1 = -3 ; y1 = -1
Slope- point form: y - y1 = m(x -x1)
y - [-1] = 2(x - [-3])
y + 1 = 2(x + 3)
y + 1 = 2x + 3*2
y + 1 =2x + 6
y = 2x + 6 - 1
y = 2x + 5 This is slope intercept form : y = mx + b
David rode his bike a total of 214 miles from his house to the store. First he rode 34 mile from his house to his school. Then he rode 14 mile from his school to the library. Finally he rode from the library to the store. How many miles did David ride between the library and the store?
Answers
Answer:
166 miles
Step-by-step explanation:
Add the 34 miles he rode from home to school and the 14 miles he rode from school to the library.
34 + 14 = 48.
Subtract 48 from 214 to get 166
214 - 48 = 166
David rode 166 miles between the library and the store.
Hope this helps! Pls mark brainliest
Luna's dining room is 19 feet wide and 22 feet long. Luna wants to install wooden trim
around the top of the room. The trim costs $0.06 per foot. How much will it cost Luna to buy
enough trim?
Answers
9514 1404 393
Answer:
$4.92
Step-by-step explanation:
The cost is found by multiplying the number of feet by the cost per foot. The number of feet is the perimeter of the dining room, the sum of the lengths of all the sides.
There are two sides of the rectangular room that are 19 feet, and two sides that are 22 feet, so the total length of trim is ...
P = 2(L +W) = 2(22 ft + 19 ft) = 2(41 ft) = 82 ft
The cost is then ...
cost = ($0.06/ft)(82 ft) = $4.92
It will cost Luna $4.92 to buy enough trim.
Amiyah has two coupons from Macy's Department Store, one for $20 off
and another for 20% off. She wants to purchase a shirt for $64. Her
friend Emma told her to use the 20% off coupon because it is the best
deal and her other friend Jermaine told her to use the $20 off coupon
because it is the best deal. Which friend is correct and why?
Answers
Answer:Jermaine
Step-by-step explanation:
Long division259560÷25
Answers
Answer:
21
Step-by-step explanation:
which expression is equivalent to 6^4x6^3
Answers
Answer:
C - (6x6x6x6)(6x6x6)
Step-by-step explanation:
please do this thanks
Answers
Answer:
225 in²
Step-by-step explanation:
First you have to find the ∛3,375 since it is a cube you know that all the dimensions are the same so when 15 comes out all you have to do is multiply the height by the length to get the area of one of its sides to get the answer.
please anwser this thank you!!
Answers
Step-by-step explanation:
v>29 or 29,infinity sign i used an app called and this is what it showed
<3<3<3<3<3<3<3<3<3<3<<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
v >_ 29
<3<3<3<3<3<3<3<3<3<3<<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
Answer:
angle 8 and 4
Step-by-step explanation:
it is shown by the picture I had just provided you
Answer:
A
Explination:
Hope this helps ^-^
which graph correspond to the following-2x-3y
Answers
Answer:
Hi! The answer to your question is in the picture below
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
A survey was conducted to investigate whether there is an association between a person's age and their thoughts on what a state senate should do about state parks. Participants selected from "leave state parks the way they are," "increase funding to state parks," or "completely overhaul state parks," and their age was categorized as under 30 years old, between 30 and 50 years old, and over 50 years old. The hypothesis test statistic was calculated to be 15.01. Which of the following is closest to the p- value of the test?
A. 0.0047
B. 0.0103
C. 0.0202
D. 09897
E. 0.9953
Answers
Answer:
E. 0.9953
Step-by-step explanation:
The computation of the p value is shown below:
According to the question
The participant choosen from 3 different state parks, r = 3
And there are 3 different age group, s = 3
So, degrees of freedom is
= (r-1) × (s-1)
= 2 × 2
= 4
And, the Test statistic is 15.01
Now
p-value = P(Chisq < 15.01 )
= 0.9953
In the chisquare table see the degree of freedom i.e. 4
Answer:
0.0047
Step-by-step explanation:
This is what college board says
The value 0.0047 is the probability that χ2 is greater than 15.01 in an χ2 distribution with (3−1)(3−1)=4 degrees of freedom.
Select all numbers that have an absolute value of 4.
Answers
I need some help! Will give brainliest!!!
Answers
Answer:
Positive 7 on the line pointing up (y axis) is where you start (where your first dot goes when graphing). Then down two and right one. (Your second dot will end up on (5,1))
Step-by-step explanation:
What is the missing length?
A. 15
B. 30
C. 8
D. 7
Answers
Answer:
red and blue are not a Selection!!!!!
Pls help 10 ptsssssssssssss
NO LINKS
Answers
Answer:
the answer is 16
Step-by-step explanation:
8/2=4
4*4=16
need help with math its a struggle
Answers
Answer:
(1,4)
(0,0)
Step-by-step explanation:
smarts
Answer:
1,4
0,0
Step-by-step explanation:
whatever is in the purple is valid and the closed line is inclusive so anything on it counts but the dotted line is exclusive
Select two days on which mike ran a total of 6 5/6 miles.
Answers
Saturday and sunday.............
Use the box plots for 3 and 4. What are the two medians. Pls help me
Answers
Answer:
C
Step-by-step explanation:
Answer:
C. 40 and 50
Step-by-step explanation:
The median marks the mid-point of the data and is shown by the line that divides the box into two parts (sometimes known as the second quartile). Half the scores are greater than or equal to this value and half are less.
Solve for q: 2q- 12 = -40
Answers
Answer:
q = -14
Step-by-step explanation:
2q - 12 = -40
Add 12 to both sides
2q - 12 + 12 = - 40 + 12
2q = - 28
Divide both sides by 2
2q/2 = -28/2
q = - 14
4. What is the volume of the triangular pyramid?
10 in
6 in
8 in
Will Mark brainliest
Answers
Answer:
V=6240 in^3
Step-by-step explanation:
I am not sure what the base is but here is my guess:
V=13Ah
V=13(48)(10)
V=6240 in^3