Walter is right cause 30x5 equals 150
Answer:
C
Step-by-step explanation:
Answer:



Step-by-step explanation:
Given

See attachment
Solving (a): 
To solve for
, we make use of:

The relationship between both angles is that they are complementary angles
Make
the subject

Substitute
for 


Solving (b): 
To solve for
, we make use of:
The relationship between both angles is that they are complementary angles

Solving (c): 
To solve for
, we make use of:

The relationship between both angles is that they are alternate exterior angles.
So:

Answer:
x = 2
Step-by-step explanation:
(x² logₓ27) log₉x = x + 4
Use change of base formula.
x² (log 27 / log x) (log x / log 9) = x + 4
Simplify.
x² (log 27 / log 9) = x + 4
x² (log 3³ / log 3²) = x + 4
x² (3 log 3 / (2 log 3)) = x + 4
x² (3 / 2) = x + 4
3x² = 2x + 8
3x² − 2x − 8 = 0
(x − 2) (3x + 4) = 0
x = 2 or -4/3
Since x > 0, x = 2.
The probability is P = 0.004, so the correct option is D.
<h3 /><h3>How to find the probability?</h3>
We want to find the probability that 4 students lie on these 30% subgroup.
We know that there are 30 students, the 30% of 30 is:
x = (30%/100%)*30 = 9
So 9 out of 30 students prefer the tests to be on Mondays.
The probability that the first randomly selected kid wants the test to be on Monday is:
p= 9/30
For the next kid, the probability is:
p'= 8/29 (because one kid was already selected).
For the next one:
p'' =7/28
For the final one:
p''' =6/27
The joint probability is the product of these 4:
P = (9/30)*(8/29)*(7/28)*(6/27) = 0.004
So the correct option is D.
If you want to learn more about probability:
brainly.com/question/25870256
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