55.0 inches of on average annually with a standard deviation of 5 inches. Assume the amount of annual rainfall in the Everglades to follow normal distribution. What is the probability that it will rain less than 45 inches this year?

the probability that it will rain less than 45 inches this year is 0.023

Step-by-step explanation:

Assuming the amount of annual rainfall in the Everglades to follow normal distribution, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the amount of annual rainfall.

µ = mean

σ = standard deviation

From the information given,

µ = 55 inches

σ = 5 inches

We want to find the probability that it will rain less than 45 inches this yearh. It is expressed as

P(x < 45)

For x = 45,

z = (45 - 55)/5 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

P(x < 45) = 0.023

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.