<span> Assume that the expression is..
y/3 + ¼ = 5/12
Multiply both sides by 12 to get..
4y + 3 = 5
Then...
4y = 5 - 3
4y = 2
y = 2/4
y = ½
I hope this helps! </span>
Answer:
Step-by-step explanation:
We can write the equation in slope intercept form.
<h3>Finding Slope:</h3>
Slope is (rise/run).
We are given the points (-1,2) and (3,4).
The slope is 1/2.
<h3>Finding Y-intercept:</h3>
We can use the equation to solve for the y-intercept.
Replace 'y' and 'x' with a given point and solve for 'b'. I will use (3,4).
The y-intercept is 5/2.
<h3>Final Equation:</h3>
As stated above, slope intercept form is . 'M' is the slope and 'b' is the y-intercept.
We are given the slope of 1/2 and the y-intercept of 5/2.
probability that the persons IQ falls between 110 and 130 is 0.2286 .
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that 110<X<130 is equal to the blue area under the curve.
Step 2:
Since μ=100 and σ=15 we have:
P ( 110 < X < 130 )=P ( 110−100 < X−μ < 130−100 )
⇒ P ( (110−100)/15< (X−μ)/σ<(130−100)/15)
Since Z = (x−μ)/σ , (110−100)/15 = 0.67 and (130−100)/15 = 2 we have:
P ( 110<X<130 ) = P ( 0.67<Z<2 )
Step 3: Use the standard normal table to conclude that:
P ( 0.67<Z<2 )=0.2286
Therefore, probability that the persons IQ falls between 110 and 130 is 0.2286 .
Can’t really see the problems. :(