
Multiply both sides of the equation by 12

Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755
Step-by-step explanation:
Given that,
Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74
Random sample of freshman, n = 81
Utilizing central limit theorem,

So,

= P( Z > 0.0616)
= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.
Answer:
5 significant figures
Step-by-step explanation:
looking at the last two digit of the numbers, it multiplication gives, 4*5=20
we already have four significant figures ,
so, 2 would be the fifth since 0 is not going to be counted
Answer:
8 pieces of string
Step-by-step explanation:
Given that :
Total yards of string = 4
Length in yd of each string = 1/2 yards
Number of pieces of string Ms. Cole has :
Total. Yards / length in yard of each string
4 / (1/2)
4 * (2 /1)
= 8/1
= 8 pieces of string.
It's an isosceles triangle, therefore m∠B = m∠C.
We have the equation:
2x + 10 = 3x - 5 <em>subtract 10 from both sides</em>
2x = 3x - 15 <em>subtract 3x from both sides</em>
-x = -15 <em>change the signs</em>
x = 15
m∠B = (2x + 10)°
m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°
We know, the sum of measures of a tringle is equal 180°.
m∠A + m∠B + m∠C = 180°
m∠B = m∠C = 40°
<h3>Answer: ∠B = 40° and ∠C = 40°</h3>