Answer:
About 2,800.
Step-by-step explanation:
2,000(1.05)^x
x =7.
2,000(1.05)^7
find 1.05 to the power of 7, which is 1.4071....
then times 1.4071... by 2,000. You will get 2,814.2 - or about 2,800.
The population of butterflies after 7 years will be approximately 2814 butterflies.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
The formula f(x) = 2000(1.05)ˣ can be used to model the population of butterflies after x years, where x is a non-negative integer.
Here, the initial population is 2000.
To find the population of butterflies after 7 years, we can substitute x = 7 into the given function and evaluate:
f(7) = 2000(1.05)⁷
Using a calculator, we get:
f(7) ≈ 2814
Therefore, the population of butterflies after 7 years will be approximately 2814 butterflies.
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ3
Sam is four years older than his brother. The sum of their ages is 24. How old is
each brother?
Answer: the brother is 10
Step-by-step explanation:
Answer:
sam is 14 his brother is 10
Step-by-step explanation:
if sam us 4 years older than his brother then sam has to be atleast 10 therefore his brother would be 10
Which of the following is most likely the next step in the series ?
Answer:
The answer is F) g21T
Hope it helps!
Thanks!
Raina picks 20 flowers
1/4 are roses 2/5
are daisies
How many flowes are lilies?
Answer:
7 of the flowers were lilies.
Step-by-step explanation:
8 daises and 5 roses were picked. 8 + 5 = 13 20 - 13 = 7
7 of the flowers were lilies
What is the measure of angle x round the nearest degree
Answer: 16 degrees obviously
Step-by-step explanation:
An outdoor art display is a metal cube with edge length 36 feet. What is the volume of the cube in cubic feet? Type your answer without any spaces or commas will mark brainliest if right
Answer:
46656ft^3
Step-by-step explanation:
I think this would be it but not 100% so sorry if im wrong
SOLVE FOR w
-3(w + 5) = -6
Answer:
Step-by-step explanation:
-3w - 15 = -6
-3w = 9
w = -3
Answer:
w = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-3(w + 5) = -6
Step 2: Solve for w
[Division Property of Equality] Divide -3 on both sides: w + 5 = 2[Subtraction Property of Equality] Subtract 5 on both sides: w = -3write a real-world problem given the equation 2/3x = 12. Then solve the equation.
Answer:
You want to buy long pieces of paper at Dollar Tree for 66 cents. You have $12. How many long pieces of paper can you buy
Step-by-step explanation:
What is the equation, in point-slope form, of the line passing through the point (5, -3) with a slope of 1/7?
y + 3 = (x - 5)
y - 3 = (x + 5)
y - 3 = 7(x + 5)
y + 3 = 7(x - 5)
Answer:
Step-by-step explanation:
None of the choices has a slope of 1/7
Write a whole number that round to 2000 if we are rounding to the nearest thousaand
Answer:2200
Step-by-step explanation:
Easy peesy lemon squezzy
complete inequality for a graph
Suppose you log on to an online chess website and are randomly assigned a match against an opponent.
Suppose at any time on the site, 30% of opponents are rated ovice", 55% are rated mid", and 15% are
rated high". In a chess match, a player can either win, lose, or draw. Suppose that you win 75% and
draw 10% of matches against novice rated opponents, you win 50% and draw 20% of matches against
mid rated opponents, and you win 10% and draw 25% of matches against high rated opponents.
(a) For a randomly assigned match, what is the probability that you play someone ranked high and
lose?
(b) For a randomly assigned match, what is the probability that you win?
(c) You play a match and win. What is the probability that you played a high rated opponent?
Answer:
a) 0.1125 = 11.25% probability that you play someone ranked high and lose.
b) 0.5435 = 54.35% probability that you win
c) 0.0690 = 6.90% probability that you played a high rated opponent
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
(a) For a randomly assigned match, what is the probability that you play someone ranked high and lose?
15% probability that you play someone that is ranked high.
If you play someone ranked high, 100 - 25 = 75% probability you lose
0.15*0.75 = 0.1125
0.1125 = 11.25% probability that you play someone ranked high and lose.
(b) For a randomly assigned match, what is the probability that you win?
75% of 30%(novice oponent)
50% of 55%(mid oponent)
25% of 15%(high opponent). So
[tex]p = 0.77*0.3 + 0.5*0.55 + 0.25*0.15 = 0.5435[/tex]
0.5435 = 54.35% probability that you win
(c) You play a match and win. What is the probability that you played a high rated opponent?
Here, we use the conditional probability formula.
Event A: Winning
Event B: Playing a high opponent.
0.5435 = 54.35% probability that you win
This means that [tex]P(A) = 0.5435[/tex]
Intersection of events A and B:
25% of 15%(high opponent). So
[tex]P(A \cap B) = 0.25*0.15 = 0.0375[/tex]
Question:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.5435} = 0.0690[/tex]
0.0690 = 6.90% probability that you played a high rated opponent
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900900 voters in the town and found that 377% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 344%. Testing at the 0.020.02 level, is there enough evidence to support the strategist's claim
Answer:
Hence, we fail to reject the null ;
There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%
Step-by-step explanation:
Given that :
Sample size, n = 900
p = 0.37
p0 = 0.34
H0 : p = 0.34
H1 : p > 0.34
Right tailed test:
Decision region:
Reject Null if ;
Zstatistic > Zcritical
Zcritical at α 0.02 = 2.05
Hence
Reject H0 : if Zstatistic > 2.05
Zstatistic = (p - p0) / sqrt((p0(1-p0))/n)
= (0.37 - 0.34) / sqrt((0.34(1-0.34))/900)
= 1.8999
1.8999 < 2.05
Zstatistic < Zcritical
Hence, we fail to reject the null ;
There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%
what is the value of 4 in 204?
Step-by-step explanation:
its on one's place
204 = 2× 100 + 4× 1
4 = 4 × 1
HELPP I NEED THIS BY 2:30
The second angle of a triangle is 7 more than twice the first angle. The third angle is 3 less than the first. Find all
three angles if the sum of their angles is equal to 180°. (Let x = the measure of the first angle)
Answer:
44, 95, and 41
Step-by-step explanation:
[tex](x) + (2x +7)+(x-3)=180\\4x +4 = 180\\4x = 176\\x = 44[/tex]
Please help me with this question I really need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
The angles of a triangle add up to 180°.
∠4 = 180°-35°-90° = 55°
50% of 25% of a number x is
A- one eighth of X
B- half of X
C- one fourth of X
D- three fourth of X
Answer:
The word "of" in mathematical terms means multiplication. The word "is" means equal. This would be translated into 50% x 25% x X = or 0.50 x 0.25 x X =. 0.50 times 0.25 = 0.125. Putting 0.125 into a fraction, it would be 125/1000. Simplify this fraction to get 1/8. So, the answer would be A.
Which three side lengths best describe the triangle in the diagram
Answer:
its 6 cm, 8cm, and 10 cm
Step-by-step explanation:
i just took the quiz
Use Ratio and Rate Vocabulary
RECORDING SHEET
Harper is buying fabric to make pillows. At the store, 3 yards of
flannel fabric costs $18, and 5 feet of fleece fabric costs $11. Whi
the better buy?
I know the units need to be the same to compare the prices.
First,
the length of the flannel fabric to feet.
The
of feet to yards is 3 feet: 1 yard.
1 Q1 - Mean
Work out the mean of each set of numbers.
11, 15, 13, 19, 17
[2]
2
56, 78, 63, 61, 74, 72, 81, 74, 75, 67
[2]
4.6, 5.9, 6.1, 2, 3.9, 2.4, 2.6, 1.9, 2.9, 1.3
[2]
o
alc
Jeremy caught 8 fish in a contest.
The mean weight of the fish was 4.35 kg.
He forgot to make his own record of the weight of the last fish,
but the first 7 were: 4.5 kg, 5 kg, 6.8 kg, 2.8 kg, 3.8 kg, 4.4 kg and 4.4 kg.
tal
0
5
What was the weight of the last fish?
kg
[2]
Markeit
Answer:
3.1 Kg
Step-by-step explanation:
Mean = Sum/Number of data
4.35=Sum/8
Sum= (4.5+5+6.8+2.8+3.8+5.5+4.4+4.4+last fish) = 31.7+last fish
4.35= (31.7+lastfish)/8
Last fish= (4.35×8) - 31.7 = 3.1 Kg
139 invitations to 38 invitations,what is the percent change?
Answer:
Step-by-step explanation:
decrease of 139-38 = 101
101/139 ≅ 0.727 = 72.7%
Find the area of a rectangular carpet the measures 3 1/3 feet by 3 feet
Answer:
10 feet
Step-by-step explanation:
1000003842638476238476+2837428734682764283746
Answer:
3.8374326e+21
Step-by-step explanation:
id.k goo.gle said this
Create a word problem that can be represented by the expression in number 4. –6 ÷ 1 1/3
Answer:
I suppose that we want to use the expression in number 4.
The expression we need to use is:
6/(1 + 1/3)
This is:
"the quotient between the number 6 and the number 1 and 1/3"
We could write a problem like:
"We have 1 and 1/3 pounds of apples, and we have 6 grams of caramel that we want to divide evenly between all the apples. How much caramel we will have in each pound of apples?"
Then we need to divide the total amount of caramel by the total amount of apples, this is:
(6gr)/(1 + 1/3 lb) = (6/(3/3 + 1/3 )) gr/lb = (6/ 4/3) gr/lb = 6*(3/4) gr/lb
= 18/4 gr/lb = (16 + 2)/4 gt/lb = 16/4 gr/lb + 2/4gr/lb = 4 gr/lb + 1/2 gr/lb
= (4 and 1/2) gr/lb
Using the data from the table, which statements are correct?
A)
The ratio of Y is consistent.
Х
G
B)
The ratio of Y is not consistent.
Х
C)
The table represents a proportional relationship.
D)
The table does not represent a proportional relationship.
E)
The graph of the data shown on the table is a straight line.
Answer: The table represents a proportional relationship.
200 cm and 200 dm which one is bigger
Answer
200 DM
Hope this helps
F= 200 lbs, d = 10 ft, How much work is performed?
Answer:
Step-by-step explanation:
Work = (force) x (distance)
= (200 lb) x (10 ft) = 2,000 ft-lbs .
plz answer correctly 60 isnt the answer
Answer:
24
Step-by-step explanation:
multiply the suit, wig and talent
3x2x4 = 24
How many 3/5 are in 7
Answer:
11.6
Step-by-step explanation:
7 ÷ ⅗ = 11.6
I hope this answer is satisfactory. Please comment if you have any concerns.
Answer:
35/3 or 11 2/3
Step-by-step explanation:
This is a division problem.
We need to divide 7 by 3/5.
7 / 3/5 = 7/1 / 3/5 = 7/1 * 5/3 = 35/3 = 11 2/3
Answer: 35/3 or 11 2/3
Enter the value of 21 + (-3) - (-0.9).
PLSS
Answer:
18.9
Step-by-step explanation:
21+(-3)-(-0.9) = 21-3+0.9 = 18+0.9 = 18.9
At a large company banquet for several thousand employees and their families, many of the attendees became ill the next day. The company doctor suspects that the illness may be related to the fish, one of three options for the main course. Because all the dinner guests had to preorder their meal, the doctor was able to randomly select and contact 80 people that ate the fish, of which 64 people got sick. The doctor also randomly selected (and contacted) 60 people that did not eat the fish, of which 39 people got sick. The doctor also knows that at least 1000 attendees ordered the fish.
Required:
a. Is this convincing evidence that the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick?
b. Which mistake (a Type I error or a Type II error) could you have made? Interpret the potential error in context.
Answer:
a. Yes. This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.
b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error. A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected. While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.
Step-by-step explanation:
Total number of attendees who ordered fish = 1,000
Sample size of the attendees who ate fish = 80
Number of attendees who ate the fish and got sick = 64 (80% or 64/80)
Sample size of attendees who did not eat fish = 60
Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)
Part A: The given evidence is convincing to provide the true proportion regarding the attendees.
Part B: The error is a type 1 error in the hypothesis testing.
Type 1 Error and Type 2 ErrorA type 1 error in hypothesis testing occurs when a null hypothesis is rejected when it is true.
A type II error in hypothesis testing occurs when the investigator fails to reject the null hypothesis that is actually false.
Given that, the total number of attendees who ordered fish is 1000. The random selection for the sample size of the attendees who ate fish is 80 of which 64 people got sick.
The number of attendees who ate the fish and got sick is calculated as given below.
No. of attendees =[tex]\dfrac {64}{80}[/tex]
% of No. of attendees = [tex]\dfrac {64}{80}\times 100[/tex]
% of No. of attendees = 80%
The random selection for the sample size of the attendees who did not eat fish is 60 of which 39 people got sick.
The number of attendees who did not eat the fish and got sick is calculated as given below.
No. of attendees = [tex]\dfrac {39}{60}[/tex]
% of No. of attendees =[tex]\dfrac {39}{60} \times 100[/tex]
% of No. of attendees = 65%
Part A
The given evidence is convincing to provide the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick.
Part B
The mistake here is that the doctor's theory (hypothesis) got rejected regarding the number of attendees who ate the fish got sick than those who did not eat the fish.
This error is a type 1 error in the hypothesis testing.
To know more about the type 1 and type 2 errors, follow the link given below.
https://brainly.com/question/20914617.