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pshichka [43]
3 years ago
9

Help! The most helpful answer will be marked as BRAINLIEST!

Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer:

Step-by-step explanation:

16=5p-6

17=y

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The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d
k0ka [10]
Part A:

From the central limit theorem, since the number of samples is large enough (up to 30), the mean of the the mean of the average number of moths in 30 traps is 0.6.



Part B:

The standard deviation is given by the population deviation divided by the square root of the sample size.

standard \ deviation= \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{30}} = \frac{0.4}{5.477} =0.073



Part C:

The probability that an approximately normally distributed data with a mean, μ, and the standard deviation, σ, with a sample size of n is greater than a number, x, given by

P(X\ \textgreater \ x)=1-P(X\ \textless \ x) \\  \\ =1-P\left(z\ \textless \  \frac{x-\mu}{\sigma/\sqrt{n}} \right)

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that <span>the average number of moths in 30 traps is greater than 0.7</span> given by:

P(X\ \textgreater \ 0.7)=1-P(X\ \textless \ 0.7) \\ \\ =1-P\left(z\ \textless \ \frac{0.7-0.6}{0.073} \right)=1-P(z\ \textless \ 1.369) \\  \\ =1-0.91455=\bold{0.0855}
7 0
4 years ago
If y= -8 when x =-2 find x when y = 32
Alenkasestr [34]
It issssssssssssssssssssss 26
8 0
3 years ago
Read 2 more answers
ASAP WILL MARK BRAINLEST
Brut [27]

Answer:

1296π m^3

Step-by-step explanation:

The volume of a cylinder is given by

V=πr^2h

We are given the diameter.  To find the radius, divide the diameter in half.

r = d/2 = 24/2 = 12

Substituting in what we know

V = pi * (12)^2 * 9

V = pi *1296 m^3

7 0
4 years ago
Read 2 more answers
-. For the event of rolling three standard fair 6-sided dice, find the following probabilities. Give all
elixir [45]

Answer:

1/6 or 6/36

Step-by-step explanation:

Given the qualifications, there are six qualifying combinations out of the 36 combinations, which simplified, is 1 out of 6.

4 0
3 years ago
Elimination 3x3 help please
GarryVolchara [31]
2x + 2y + 1z = -5 ⇒ 2x + 2y + 1z = -5 ⇒ 4x + 4y + 2z = -10
3x + 4y + 2z =  0 ⇒ 3x + 4y + 2z =  0 ⇒  3x + 4y + 2z =   0
1x + 3y + 2z =  1                                                        x = -10

2x + 2y + 1z = -5
3x + 4y + 2z =  0 ⇒ 3x + 4y + 2z = 0
1x + 3y + 2z =  1 ⇒ 1x + 3y + 2z = 1
                                          2x + y = -1

      2x + y = -1
2(-10) + y = -1
    -20 + y = -1
  + 20       + 20
             y = 19

           2x + 2y + z = -5
2(-10) + 2(19) + z = -5
         -20 + 38 + z = -5
                  18 + z = -5
                - 18       - 18
                          z = -23
                (x, y, z) = (-10, 19, -23)
6 0
3 years ago
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