Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation = = 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:
For z = -1.56, we get:
For z = -0.88, we get:
Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
Answer:
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle always equal 180. Therefore:
Let's subtract 102 from both sides. This yields:
Now, notice the that both ∠1 and ∠Y have exactly one arc mark.
Arc-marks denote congruence. Therefore, ∠1 and ∠Y are congruent to each other. In other words:
So, we can substitute ∠Y for ∠1 for our equation. This yields:
Combine like terms:
Divide both sides by 2. So, the measure of our angle is:
And we're done!
Answer:
8.11 and 9 1/11
Step-by-step explanation:
There would be 130 women working for the company because 5x26=130 and 7x26=182 and 130+182=312
Answer:
Yes.
Step-by-step explanation:
The angles of the triangles add up to be 180. 180 - 114 - 31 = 35. 180-114-35 = 31. Since the angles of the triangles correspond and are congruent, the triangles are similar, with PQR corresponding to TUS.
Hope this helps !