Answer:
The expression are equivalent
Step-by-step explanation:
The question requests that we show whether the equation -0.5( 1 -2h) is equivalent to 4(2h + 2) - 7h - 8.5 or not :
Simplifying 4(2h + 2) - 7h - 8.5 ; we have ;
4(2h + 2) - 7h - 8.5
8h + 8 - 7h - 8.5
8h - 7h + 8 - 8.5
h - 0.5
-0.5(1 - 2h)
-0.5 + h
= h - 0.5
Hence, both expressions are the same
Answer:
See below
Step-by-step explanation:
The score increase was 35 points. They claimed an increase of at least 50 points. For a significance level of 5%, the z-score for the situation needs to be at smaller than -1.645. For a significance level of 1%, the z-score needs to be smaller than -2.325
The z score for our situation: z = (385 - 350)/50 = 0.7
The average score of 385 of Tutor O-Rama scores is not significantly different from the average of the other students SAT scores. The evidence doesn't support their claim of being effective tutoring.
Now in this scenario, they scored 45 points from three-point baskets. This means they got 15 baskets. Now we can convert this into ratio form and solve using cross multiplication:
5/7=15/x
5x=15*7
x=21
They had 21 three point tries. Hope this helps :) lmk if you need more help.
59.346
V = pi * r^2 * h
V = 3.14 * 3^2 * 2.1
V = 3.14 * 9 *2.1
V = 3.14 * 18.9
V = 59.346
Range: 4
IQR: 3
Range is the maximum minus the minimum value.
The IQR is Q1 - Q2.