Answer:
The answer is below
Step-by-step explanation:
The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:
Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:
From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%
Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism
Answer:
3x+4 Ralph is currently 12 years old.
Step-by-step explanation:
You can find the equation by reading the scenario given. When you read it, it says that Ralph is 3 times as old as Sara and since her current age is going to be used to represent x you will first get 3x. That automatically eliminates the second and third choice given. It then says the equation is for Ralph's age in four years which means to add four to the equation. This gives you 3x+4 as your equation.
When something is tripled and then in a few years it is doubled, it is easiest to first try the number that is being added. So in this case the number is four. When you multiply 4 by 3 you get 12. If Sara is 4 she'll turn eight in four years and if Ralph is 12 he'll turn 16 in four years. 16 divided by 2 is 8 which shows you that Ralph is currently 12
Answer:
8⁵
Step-by-step explanation:
you count how many times 8 is being multiplied by itself, and that's the number you put as the exponent
6. x = 16; it's a scalene triangle
7. x = 45; it's a right triangle.
Inside of the triangle must = 180. Let angle '4' = x. x + 45 + 47 = 180. Combine like terms, x + 92 = 180. Subtract 92 on both sides, x = 88.
Now angle '4' and angle '3' must equal 180 because they are on the same plane. Let angle '3' = y. y + 88 = 180. Subtract 88 on both sides, y = 92.
So Angle 4 is 88 degrees and Angle 3 is 92 degrees.