The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.4, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.6. (a) What are the mean and standard deviation of the average number of moths x in 45 traps

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

Answer:

-9

Step-by-step explanation:

the constant is a single number

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.

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).

Answer:

Its B

Step-by-step explanation:

Got it right on the test

Answer:

The answer is B

Step-by-step explanation:

Edge 2021

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...!!!

Answer:

Answer is C

Step-by-step explanation:

Using SOH CAH TOA

Answer:

Least to greatest: -5 1/2, -5.2, -5, -5/2, 5.5

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 )

Answer:

yudsghbndnshegdm

Step-by-step explanation:send ur location come thruuuuuuuuuuuuuuuuuuuuuuuuuuu

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°

Answer:

23 + 17 = 40 :)

Answer:

10n - 3 = -13

Step-by-step explanation:

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.

Answer:

Step-by-step explanation:

The answer is C

(づ｡◕‿‿◕｡)づ

Hope it helps

i would go with either a or b

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

Answer:

im pretty sure its the first

Step-by-step explanation:

Answer:

The correct answer is the last option (d.)

Step-by-step explanation

Answer:

It's the last one

I hoped that helped