Answer:
Step-by-step explanation: 6x+5x=3x+2x-54
11x=5x-54
+5x +5x
16x=54
16 16
x=3.375
The answer is 515. Because 5×103 is 515
Answer: The complete question is found in the attachment
Step-by-step explanation:
Law of large numbers: The probability of occurrence of an event becomes closer to the theoretical probability as the number of trials increases
P(an ace) = 1/6
= 0.1667
= 16.67%
a) In 600 rolls, the value will be close to 16.67. compared to 60 rolls
Greater than 20% interval doesn't include 16.67%. So, for more than 20% ace, 60 rolls is better.
b) More than 15% interval includes 16.67. So, it is better to roll 600 times
c) The interval between 15% and 20% include 16.67% and hence, 600 rolls is better
d) Larger number of trials is better to get exactly 16
So, 600 rolls is better
Answer:
- The first option: $265.05
Step-by-step explanation:
<h3>Option 1</h3>
<u>Payment as sequence:</u>
<u>This is an AP with:</u>
- The first term a = 11.75
- Common difference d = 0.35
- Number of terms n = 18
<u>Find the sum of the first 18 terms:</u>
- S₁₈ = (a + a₁₈)*18/2 = (a + a + 17d)*9 = (11.75*2 + 17*0.35)*9 = $265.05
<h3>Option 2</h3>
Flat rate $14.50 per hour
<u>The sum is:</u>
<u>Compared, we see the first option pays more:</u>
Answer:
29°; 61°
Step-by-step explanation:
Let one angle = x°
Other angle = (x + 32)°
x + x + 32 = 90 {given they are complementary}
2x + 32 = 90
2x = 90 -32
2x = 58
x = 58/2
x = 29
One angle = 29°
Other angle = 29 + 32 = 61°