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2 years ago

Find the mixed number halfway between 6.4 and 6½. Give your answer in its simplest form.

Mathematics

1 answer:

gulaghasi [49]2 years ago

8 0

Answer:

6.45

Step-by-step explanation:

I am not staring at zero. I am starting at 6.4, so I take 6.4 and add that to half way between 6.5 and 6.4.

6.4 + 1/2(6.5-6.4) Combine in the parentheses

6.4 + 1/2(.5) Take half of .5

6.4 + .05 add

6.45

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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

3x – 2y = -6<br> y = 1.5x + 3<br> What is the solution to the system

Igoryamba

Answer:

The answer is D infinitely many

Step-by-step explanation:

6 0

3 years ago

. Equilibrium: If the number of persons who attend the club meeting this week is X, then the number of people who will attend ne

Artyom0805 [142]

Answer:

100

Step-by-step explanation:

In economics, for a firm to earn optimum profits, it is important that it achieves a long run equilibrium. We can transfer the same to the case here that for the club to achieve optimum attendance, it must achieve long- run equilibrium attendance.

The condition for Long Run Equilibrium is that:

Club meeting attendance this week = Club meeting attendance next week

X = 80 + 0.20X

X - 0.20X = 80

X = 80/0.8

X = 100.

The long- run equilibrium attendance for this club is 100.

5 0

4 years ago

What type of angles are ∠2 and ∠5? Question 1 options: adjacent angles alternate exterior angles alternate interior angles corre

Juli2301 [7.4K]

Answer:

YOU HAVE IMAGE???

Step-by-step explanation:

5 0

3 years ago

Mrs. Heat has $54.79 in her wallet. She went to target and bought a sweatshirt for $29.99. When she was walking back to her car,

AfilCa [17]

$54.79 - $29.99 = $24.80

$24.80 + .25 = $25.05

$25.05 - $4.07 = $20.98

Mrs.Heat has $20.98 dollars in her wallet now.

7 0

4 years ago