Answer
1) Relative frequency of prefering cold mocha amongst mocha drinkers = 0.32
2) Relative frequency of prefering a latte amongst hot coffee drinkers = 0.22
3) Type of coffee that has the highest percentage of people who prefer it cold = Regular
Explanation
1) Relative frequency of prefering cold mocha amongst mocha drinkers is given as
Relative frequency
= (Number of mocha drinkers who prefer it cold) ÷ (Total number of mocha drinkers)
Number of mocha drinkers who prefer it cold = 12
Total number of mocha drinkers = 12 + 25 = 37
Relative frequency = 12 ÷ 37 = 0.32
2) Relative frequency of prefering a latte amongst hot coffee drinkers is given as
Relative frequency
= (Number of latte drinkers who prefer it hot) ÷ (Total number of hot coffee drinkers)
Number of latte drinkers who prefer it hot = 19
Total number of hot coffee drinkers = 11 + 25 + 19 + 30 = 85
Relative frequency = (19/85) = 0.22
3) Percentage of people who prefer cold coffee for each coffee type
Regular
(17/28) = 60.7%
Mocha
(12/37) = 32.4%
Latte
(20/39) = 51.3%
Cappuccino
(27/57) = 47.4%
Regular coffee drinkers have the highest percentage of drinkers who prefer it cold.
Hope this Helps!!!
Using an exponential function, it is found that 4 mg of the substance would still be left after 32 days.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, considering that the initial amount if of 64 mg, and we are working with half-lifes, the equation is given by:
32 days is 32/8 = 4 half-lifes, hence the amount remaining in mg is given by:
More can be learned about exponential functions at brainly.com/question/25537936
<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>
<span>Scalene triangles;
is this multiple choice or is it a written question?</span><span /><span>
</span>
After doing some quick calculations, we can determine that X = −35.9
I hope this helps! :)
