Answer:
Step-by-step explanation:
y - y1 = m(x - x1).....ur points are (x1,y1)
y - 4 = 1/2(x - 1)
so the point is : (1,4)
Answer:
b = 6 mm
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 8² = 10²
b² + 64 = 100 ( subtract 64 from both sides )
b² = 36 ( take the square root of both sides )
b = 
= 6
Answer: The answer to the question you asked up top would be -27, however the question in the picture doesn't match. As for the question in the picture, the answer is should be choice B or 4 square root 2i
Step-by-step explanation:
The first one: add the number together since they are both negative and just place a negative sign in front.
The second one: break down the square root of -18 into 9*-2. Then add 
which equals 
16249012.26086957;)3!(3$676444
Answer:
The probability that a random sample of n = 5 specimens will have a sample values that falls in the interval from 2499 psi to 2510 psi = P(2499 < x < 2510) = 0.192
Step-by-step explanation:
For the population,
μ = 2500 psi and σ = 50 psi
But for a sample of n = 5
μₓ = μ = 2500 psi
σₓ = σ/√n = (50/√5)
σₓ = 22.36 psi
So, probability that the value for the sample falls between 2499 psi to 2510 psi
P(2499 < x < 2510)
We normalize/standardize these values firstly,
The standardized score for any value is the value minus the mean then divided by the standard deviation.
For 2499 psi
z = (x - μ)/σ = (2499 - 2500)/22.36 = - 0.045
For 2510 psi
z = (x - μ)/σ = (2510 - 2500)/22.36 = 0.45
To determine the probability the value for the sample falls between 2499 psi to 2510 psi
P(2499 < x < 2510) = P(-0.045 < z < 0.45)
We'll use data from the normal probability table for these probabilities
P(2499 < x < 2510) = P(-0.045 < z < 0.45) = P(z < 0.45) - P(z < -0.045) = 0.674 - 0.482 = 0.192
