Answer:
Step-by-step explanation:
3/4 of total = 45
therefore, 1/4 took bananas
the ones taking bananas are 3 times less than those who took apples.
so we get 45/3 = 15 people picking bananas
The mid-point is basically the average of the coordinates. So for the x coordinate do (1+(-7))/2=-3. and for y, do (-10+7)/2=-3/2
This gives you the midpoint as (-3,-3/2)
Using proportions, it is found that there is a 0.54 = 54% probability that a randomly selected household owns a cat.
<h3>What is a proportion?</h3>
A proportion is a fraction of total amount.
In this problem, the proportions associated with owning a cat are given by:
- 70% of 60%(also have a dog).
- 30% of 40%(do not have a dog).
Hence:
p = 0.7(0.6) + 0.3(0.4) = 0.42 + 0.12 = 0.54.
0.54 = 54% probability that a randomly selected household owns a cat.
More can be learned about proportions at brainly.com/question/24372153
Answer:
Given expression is equal to 1/32
Step-by-step explanation:
Given that:
= 4^(-5/2)
To eliminate "-" sign we will invert the fraction as follows:
= (1/4)^ 5/2
Or it can be written as:
= 
This is the simplified expression.
i hope it will help you!
Answer:

Step-by-step explanation:
Given: 

Theta lie in first quadrant.
Multiply both sides by 2

2theta lie in I and II quadrant.
is positive in I and negative in II quadrant.







Hence, The value of 