Alice was told that her reading test score was 1 standard deviation below the mean. if test scores were approximately normal with μ=86 and σ=4, what was alice's score? do not include units in your answer. for example, if you found that the score was 86 points, you would enter 86.

82

Step-by-step explanation:

Given that the population mean  μ=86 and standard deviation σ=4 then one standard deviation below the mean means  4 less than 86 which is 82.

or

One standard deviation below the mean means z=-1 where z* is the z*score value in the standard normal distribution

Apply the formula

z=(x-μ)/σ

where x=Alice's score

          μ=estimate mean

          σ=standard deviation

z=(x-μ)/σ

-1=(x-86)/4cross multiply

-1*4=x-86

-4=x-86

-4+86=x

82=x

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!