You have 13 cards that are hearts and a deck of 52. So you do
13/52(fraction) x 13/52 (fraction) x 13/52(fraction) = 1/64 simplified answer
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Answer: 5% growth (fourth choice)</h3>
the base of the exponent 1.05 is in the form 1+r
1+r = 1.05 which solves to r = 0.05 when we subtract 1 from both sides
Since r is positive, it represents growth.
0.05 = 5/100 = 5%
1:3 is the ratio because if 1/4 are green then 3/4 are orange
Answer: He can predict that 420 students will be in support of the purchase.
Step-by-step explanation:
Since Randy surveyed one student out of every 5 he came across in the cafeteria, it means that if he came across five people, he will survey one, if he came across ten students, he will survey 2 and so on.
If then he surveyed a total of 140 students, then we can actually multiply the number by 5 to know the exact number of students he possibly came across in the cafeteria:
= 140 × 5
= Total of 700 students
If 84 out of the surveyed students supported the purchase, we can find what that figure represents in the total number of students in the cafeteria:
84/140 = x/700
We cross multiply
140 × X = 84 × 700
140X = 58,800
X = 58,800/140
X = 420 students
Therefore, he can predict that 420 students out of a total of 700 students in the cafeteria will be in support of the purchase of the P.E equipment
The angles are 45° 60° and 75°
Elaboration：
Let the three angles be 3x 4x and 5x
( since the sum of interior angles of triangle=180° )
3x+4x+5x= 180
12x = 180
x = 15
3x= 45
4x= 60
5x= 75
