0.043 is the correct answer :$
Answer:
2⁵× 2ˣ = 256
x= 3
(1/3)² (1/3)ˣ = 1/729
x= 4
Step-by-step explanation:
2⁵× 2ˣ = 256
x= 3
use Product Rule: xᵃxᵇ=xᵃ⁺ᵇ
convert both sides to the same base.
2⁵⁺ˣ = 2⁸
cancel the base of 2 on both sides.
5+x=8
subtract 5 from both sides.
x=8-5
simplify 8-5 3.
x=3
(1/2)² (1/3)ˣ = 1/729
x = 4
use division distributive property: (x/y)ᵃ=xᵃ/yᵃ
i hope this helped i didn't feel like typing the rest out though lol :(
Answer: 40%
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Work Shown:
"given that it's a senior" is an important piece of info that tells us to only focus on the "seniors" column. The word "given" is an indication that we know this information 100%
There are 5 seniors (2+3 = 5) and 2 of them are male. So 2/5 = 0.40 = 40% of the seniors are male. The probability of selecting a male, if we know this person is a senior, is 40%
Answer:
x = 10
, y = 10
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° = 
, cos60° = 
, then
sin60° = 
= 
= ( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
cos60° = 
= 
= ( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
Like in real life problems?
if yes then when conducting a survey, when grading quizzes/assignments, etc
