Answer:
Mean = 0.4
Stand deviation = 0.08944
Step-by-step explanation:
1.
This question tells us that the mean of trapped moths is only 0.4
Therefore the mean = E(X) = 0.4
2.
The standard deviation of the sample mean is
= σ/√n
σ = 0.6
n = 45
When we put these values into the formula we will have:
0.6/√45
= 0.6/6.708
= 0.08944
So in conclusion, the mean is 0.4 and the standard deviation is 0.08944.
Thank you!
question is in the picture pls help me. much appreciated
On interval 0 ≤ x < 2π, where are the x-intercepts of y = cos(2x)?
StartFraction pi Over 2 EndFraction and StartFraction 3 pi Over 2 EndFraction
0, π, and 2π
StartFraction pi Over 2 EndFraction, pi and StartFraction 3 pi Over 2 EndFraction
Answer:
Its B
Step-by-step explanation:
Got it right on the test
Answer:
The answer is B
Step-by-step explanation:
Edge 2021
Let g (2) = 22 – 5 and h (2) = 22 +1.
Find (g+h) (2)
Answer:
23 + 17 = 40 :)
what are all values of x for which the series shown converges?
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}[/tex]
We can write this as:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}[/tex]
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}[/tex]
Then we have the inequality
[tex]1 > (x - 2)/3[/tex]
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
ASAP PLZ
Which of the following is a conditional statement?
I will eat anything that is dipped in chocolate.
Chocolate can be white or brown.
I like chocolate.
Chocolate chip cookies are the best kind.
Answer:
im pretty sure its the first
Step-by-step explanation:
w pewnym trapezie o wysokości 6cm jedna z podstaw ma długość 9cm ,a druga jest od niej o 2cm krótsza . Pole tego trapezu wynosi:
Odpowiedź:
48 cm
Wyjaśnienie krok po kroku:
Jeśli się uwzględni:
Wysokość trapezu = 6 cm
Długość podstaw:
Podstawa 1 = a = 9 cm
Podstawa 2 = b = (a - 2) = 9 - 2 = 7 cm
Uaing relacji:
Powierzchnia trapezu = 1/2 (a + b) * h
Powierzchnia trapezu = 0,5 (9 + 7) * 6
Powierzchnia trapezu = 0,5 (16) * 6
Powierzchnia trapezu = 8 * 6
Powierzchnia trapezu = 48 cm
30 is 2/3 of what number
Answer:45
Step-by-step explanation:
Key Word:of
30*2/3 = 45
Answer:
Step-by-step explanation:
let the number be x.
then,
2/3 of x = 30
=> 2/3x = 30
=> x = 30 × 3/2
=> x = 45
so, the required number is 45 .
hope it helps...!!!
please need help answer
Answer:
yudsghbndnshegdm
Step-by-step explanation:send ur location come thruuuuuuuuuuuuuuuuuuuuuuuuuuu
Describe the cross section of the rectangular prism by naming its shape?
Answer:
rectangle
Step-by-step explanation:
Kind of a confusing question, but I'm guessing that its asking what the shape of the cross section is. And its a rectangle.
geometry :
find the measure of the exterior angle
Answer:
45
Step-by-step explanation:
i believe its 45 or 55
Answer:
92°
Step-by-step explanation:
(2x - 2)° = x ° + 45°
(2x - 2 - x)° = 45°
(x - 2)° = 45°
x - 2 = 45
x = 45 + 2
x = 47
(2x - 2)° = (2*47 - 2)° = (94 - 2)* = 92°
PLEASE HELP! WILL GIVE BRAINLIEST!
Answer:
Answer is C
Step-by-step explanation:
Using SOH CAH TOA
What is the answer to the following?
1. 8/9 divide by 2/3
2. 4 divided by 3/4
3. 2 1/2 divided by 3/4
4. 4/9 divided by 5 1/3
5. 7/8 divided by 14
i would go with either a or b
I NEED HELP ASAP PLEASE
Order the numbers from least to greatest.
-5 1/2
-5.2
-5
-5/2
5.5
Answer:
Least to greatest: -5 1/2, -5.2, -5, -5/2, 5.5
Which statement about these triangles is true?
Answer:
It's the last one
I hoped that helped
John runs a computer software store. He counted 122 people who walked by his store in a day, 60 of whom came into the stores. Of the 60, only 23 bought something in
the store. Estimate the probability that a person who walks by the store will enter the store?
Answer:
unlikely
Step-by-step explanation:
60/122
60 ÷122=0.49
0.49 × 100 =49
49% chance
answer is unlikely
To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Create a diagram to represent the quantities of each ingredient in this recipe.
What is the constant in this expression? X/5 - 9
Answer:
-9
Step-by-step explanation:
the constant is a single number
anyone help, please. CFA 8
S-IC.2: Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.
A drug manufacturer claims that 13% of the population of South Africa is living with HIV. As a World Health Organization researcher, you collect evidence to test this claim. You use statistical techniques to sample 125 random residents of South Africa and find that 20 of them test positive for HIV.
You plan to simulate one sample of 125 residents by randomly selecting 125 integers between 1 and 100.
From your actual sample of 125 residents, what proportion of the sample has HIV? 125
What do the randomly selected numbers represent? Why did you pick 125 of them? The number of residents
What assigned numbers indicate a simulated resident has HIV?
2. You plan to run 100 simulations, each with a random sample of 125 residents.
What do you think the true mean population proportion from the 100 simulations would be close to? Explain why.
Is this a simulation of an observational study or an experimental study? Explain why.
The margin of error for this study is about 0.06 or 6% around the population proportion. Are you able to support the claim of the drug manufacturer? Explain why or why not.
What could be done to make the margin of error smaller and get a better sample of the population? Why does that make sense?
Answer:
gooooooooooooooooo
Step-by-step explanation:
goooooooooooooooooop
1) The proportion of the sample that has HIV is 0.16. 2) The randomly selected numbers represent the HIV status of the simulated residents.
1. The proportion of the sample that has HIV is 20 / 125 = 0.16.
2. The randomly selected numbers represent the HIV status of the simulated residents. We picked 125 of them because that is the sample size of the actual study.
We can assign the numbers 1 to 13 to represent the simulated residents who have HIV. This is because 13% of the population is estimated to have HIV.
I think the true mean population proportion from the 100 simulations would be close to 0.13, the HIV prevalence rate that was estimated in the actual study. This is because the simulations are randomly generated, and the probability of a simulated resident having HIV is 13%.
This is a simulation of an observational study. This is because the researchers are not intervening in the lives of the simulated residents. They are simply observing the HIV status of the simulated residents.
The margin of error for this study is 0.06, which is 6%. This means that the true population proportion of people with HIV could be anywhere between 0.07 and 0.19. The drug manufacturer's claim that 13% of the population has HIV is within this range, so we cannot definitively support or refute their claim.
To make the margin of error smaller and get a better sample of the population, we could increase the sample size. This would give us more data points to work with, which would make our estimate of the population proportion more accurate. Additionally, we could stratify the sample by age, gender, or other factors that could affect the prevalence of HIV. This would help us to ensure that our sample is representative of the entire population.
To learn more about proportion here:
https://brainly.com/question/32027272
#SPJ2
Please help!!! I need help
Answer:
Step-by-step explanation:
What the hell is that oh no I am not doing that
You stand 20 ft from a bottle rocket on the ground and watch it as it takes off vertically into the air at a rate of 18 ft/sec. Find the rate at which the angle of elevation from the point on the ground at you feet and the rocket changes when the rocket is 40 ft in the air. At the moment the rocket is 40 ft in the air, the angle of elevation is changing at a rate of rad/se.
Answer:
9/50 rad/sec
Step-by-step explanation:
let the angle be represented as ∅
distance form bottle rocket on the ground = 20 ft
height of rocket = 40 ft
solution
first we differentiate w.r.t.time
= sec²(∅)*(d(∅)/dt))=(1/20)*dh/dt --------- ( 1 )
= d(∅)/dt = (1/20)cos²(∅)* (dh/dt) ------- ( 2 )
note : 1/sec(∅) =cos(∅)
therefore ; dh/dt = 18 ft/sec
applying Pythagoras theorem
Tan ∅ = 40 / 20
h^2( hypotenuse ) = a^2( height ) + b^2 ( distance from bottle rocket )
h = √ 40^2 + 20^2 = √ 2000
also cos ( ∅ ) = b / h = 20 / √ 2000
hence cos²∅ = 1/5
Back to equation 2
d(∅)/dt=(1/20)×(1/5)×(18)
= 18/100 = 9/50 ( changing rate of angle of elevation )
Need Help this is my test! I will mark you as brainliest if you answer!!!
The relationship between the number of hours traveled and the number of miles traveled on a
family road trip is graphed below.
750
15. What is the ratio of hours to miles?
675
600
525
16. How many miles could the family travel
in a period of 12 hours?
450
MILES
375
300
17. About how many hours will it take the family
to travel 700 miles?
225
150
75
Maneuvering the Middle LLC, 2015
1
2
8 9
3 4 5 6 7
TIME (HOURS)
Answer:
15) The ratio of hours to miles is 1 hour to 75 miles; 1/75
16) They will have traveled 900 miles.
17) It will take them around 9 hours.
Step-by-step explanation:
15) Finding the unit rate of the trend (which in this case I considered to be line) can be done by finding the slope and simplifying it. There is a constant linear slope in this graph so it was evident that as the x-values increased by 1, the y-values increased by 75. All you had to do was convert the values into ratio form which would be 1/75. The 1 should remain "numerator" and the 75 as denominator because it is the hour-to-mile ratio (the units were listed in thw instructions in the chronological order in which they were to be answered in ratio form; 1 hour to 75 miles).
16) You can set up an equivalent-ratios equation. Because we know that the unit ratio is 1 hour to 75 miles, and we were given the value of 12 hours, we can set up the equation like this: 1/75=12/x. I would then multiply the 75 miles by 12 so that the ratios will be proportionate. This gives me 900 miles. Now I know, based on the ratio 12 hours to 900 miles (12/900), that if the family travels for 12 hours, they will have traveled 900 miles.
17) We can do the same thing as we did in number 16. We just have to switch the value we use in the second ratio. This means that the equivalent-ratios equation will look like 1/75=x/700, because 700 miles is our given value as opposed to a value with a unit of hours, and miles are the denominators in these ratios. Now we have to see how many times 75 goes into 700 to figure out what to multiply the 1 by to get our proportionate ratios. We have to divide 700 by 75 which is roughly 9 (rounded down from 9.3). The ratio now reads: 1/75=9/700. This means that it will take the family around 9 hours to drive 700 miles (9 hours to 700 miles was the ratio).
which list shows the temperatures in order from coldest to warmest in degrees fahrenheit? HELP ME PLSSS I NEED THIS SOON
Answer:
Step-by-step explanation:
The answer is C
(づ｡◕‿‿◕｡)づ
Hope it helps
PLZ HELP if u know the amswer
Answer:
The correct answer is the last option (d.)
Step-by-step explanation
Need answerrrrrrrrrrrrr fast
A sample of 29 boxes of cereal has a sample standard deviation of 0.81 ounces. Construct a 95% confidence interval to estimate the true standard deviation of the filling process for the boxes of cereal.
a. ( 0.427,1.144)
b. (0.515,1.105)
c. (0.726,0.726)
Answer:
The 95% confidence interval is [tex]0.6428 < \sigma < 1.0954[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 29
The sample standard deviation is [tex]s = 0.81[/tex]
Generally the 95% confidence interval to estimate the true standard deviation is mathematically represented as
[tex]\sqrt{\frac{(n- 1)s^2 }{ X^2_( \frac{\alpha }{2 } , n-1)} } < \sigma < \sqrt{\frac{(n- 1)s^2 }{ X^2_(1- \frac{\alpha }{2 } , n-1)} }[/tex]
Generally from the chi -distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 29 - 1 = 28[/tex] is
[tex]X^2 _{\frac{\alpha }{2} , 28 } =44.46079184[/tex]
Generally from the chi -distribution table the critical value of [tex]1 - \frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 29 - 1 = 28[/tex] is
[tex]X^2 _{(1 - \frac{\alpha }{2}) , 28 } = 15.30786055[/tex]
So
[tex]\sqrt{\frac{(29- 1)0.81^2 }{ 44.46079184 } } < \sigma < \sqrt{\frac{(29- 1)0.81^2 }{15.315.307860551 }[/tex]
=> [tex]0.6428 < \sigma < 1.0954[/tex]
What is the value of n in this expression?
(9^3)^12=9^n
a) 36
b) 15
c) 9
d) 4
Answer:
A. 36
Step-by-step explanation:
[tex]9^{3*12} =9^{36}[/tex]
You multiply the the exponent
Help please can you do like (1) _____ then like (2) _____ please that would be helpful
Answer:
down there
Step-by-step explanation:
1. Adam 57 seconds, Cameron 60 seconds, Cody 60 seconds, Kevin 58 seconds, Joao 59 seconds
2.Just line the bars to the times
A mail carrier travels at 15 miles per hour through a neighborhood. Which table
represents the distance the mail carrier travels in x hours?
2
G
H
0 1 3
yo 16 18
0 24
yo 30 55
x 135
y 15 45 75
x 134
y 15 40 55
Answer:
Step-by-step explanation:
the table is not copied correctly, I assume
the mail carrier will travel a distance of 15x
A student said that since –9 is less than 4, then |–9| is less than |4|. Is the student correct? Explain why or why not.
Answer:
The student is incorrect because I I or absolute value would make the -9 to positive 9.
Step-by-step explanation:
-9<4
on a numberline
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
but the absolute value of -9 (or) |–9|
is actually positive 9
9>4
on a number line
4 5 6 7 8 9
The difference of ten times a number and three is -13
Answer:
10n - 3 = -13
Step-by-step explanation: