What number is 2,456 to the zero power?

The volume of wine in liters produced by a parcel of vineyard every year is modeled by a Gaussian distribution with an average o

saul85 [17]

Answer:

0.99865

Step-by-step explanation:

The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.

To solve the above question, we would be using the z score formula

The formula for calculating a z-score

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

In the above question,

x is 115 liters

μ is 100

σ is the population standard deviation is unknown. But we were given variance in the question.

Standard deviation = √Variance

Variance = 9

Hence, Standard deviation = √9 = 3

We go ahead to calculate our z score

z = (x-μ)/σ

z = (115 - 100) / 3

z = 15/ 3

z score = 5

Using the z score table of normal distribution to find the Probability of having a z score of 5

P(x = 115) = P(z = 5) =

0.99865

Therefore the probability that this year it will produce 115 liters of wine = 0.99865

6 0

4 years ago

An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that a

Stolb23 [73]

The answer is ,
Only 35 degrees...
As the other option won’t make the sum of the interior angles 180..

8 0

3 years ago

Solve the following equations for x,

stellarik [79]

(i) 3 csc²(x) - 4 = 0

3 csc²(x) = 4

csc²(x) = 4/3

sin²(x) = 3/4

sin(x) = ± √3/2

x = arcsin(√3/2) + 2nπ or x = arcsin(-√3/2) + 2nπ

x = π/3 + 2nπ or x = -π/3 + 2nπ

where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.

In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.

(ii) 4 cos²(x) + 2 cos(x) - 2 = 0

2 cos²(x) + cos(x) - 1 = 0

(2 cos(x) - 1) (cos(x) + 1) = 0

2 cos(x) - 1 = 0 or cos(x) + 1 = 0

2 cos(x) = 1 or cos(x) = -1

cos(x) = 1/2 or cos(x) = -1

[x = arccos(1/2) + 2nπ or x = 2π - arccos(1/2) + 2nπ] or x = arccos(-1) + 2nπ

[x = π/3 + 2nπ or x = 5π/3 + 2nπ] or x = π + 2nπ

For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.

7 0

3 years ago

Help!! I need this ASAP

Rzqust [24]

Answer:

x=15

Step-by-step explanation:

Well, you have 2 numbers that sum up to 90 (the angle) so you can first minus the one you know, making your number from 90-30=60. Now all thats left is the 4x=60, which you can do 60/4=15 to get your answer that x=15.

3 0

3 years ago

Read 2 more answers

Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need?

Vlada [557]

I think the answer would be 1932 tiles cubed, I think you might need help from someone else though, sorry.

3 0

4 years ago