Answer:
x = 6
Step-by-step explanation:
Complementary angles = angles that add up to 90 degrees.
Therefore 8x - 30 + 5x + 42 = 90
13x + 12 = 90
Subtract 12 from both sides and then divide each side by 13.
x = 6
Answer:
P (X≤1) = 0.000
Step-by-step explanation:
Data given:
p = 79% = 0.79
q = 1 - 0.79 = 0.21
n = 16
P (no more than 1 in 16 adults) = P (X≤1)
P (X≤1) = P (X=0) + P (X=1)
We can find the probability by using binomial functions:
<h3>P(X=0):</h3>
P(X=0) = (16! / 0!(16-0)!) · 0.79⁰ · 0.21¹⁶
Use calculator to solve:
P(X=0) = 0.000000000798
<h3 /><h3>P(X=1):</h3>
P(X=1) = (16! / 1!(16-1)!) · 0.79¹ · 0.21¹⁵
Use calculator to solve:
P(X=1) = 0.000000034506
<h3>P(X≤1)</h3>
P (X≤1) = P (X=0) + P (X=1)
P (X≤1) = 0.000000000798 + 0.000000034506
P (X≤1) = 0.00000003530
P (X≤1) = 0.000
As 1 is a very low number, its probability is very small
A recurring decimal is one is which the numbers after the decimal keeps on repeating up till infinity, it does not terminate.
Now for 20/11: 11 into 20 is 1 remainder 9.
20 / 11 = 1 whole number, 9/11.
We can now perform 9/11 with our calculator = 0.818181.....
The ....... after the 81 signifies it continues in that pattern indefinitely.
Therefore 20/11 = 1 whole number, 9/11= 1 + 0.818181....
= 1.818181......
The different digits that appear are 1 and 8.
So 2 different digits appear when 20/11 is written as recurring decimal.