The length of the pole is 19.15 feet.
<h3>What is the angle of elevation?</h3>
The angle of elevation is the angle created when an observer looks at an object placed above its height in relation to the eye level or the horizontal line. An angle of elevation is, for example, the angle created between the line of sight and the horizontal line when a man on Earth observes the Sun.
Given:
Angle made by straight road = 15°
Angle of elevation of the sun = 57°
Length of the shadow = 75 feet
∠ACB = 90° - 57° = 33°
∠CAB = 57° - 15° = 42°
Using Sine Law to find BC i.e.length of the pole.
BC ≅ 19.15 feet (to the nearest hundredth.)
Hence, the approximate length of the pole is 19.15 feet.
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Answer:
a) .033 b) .4678 c) 100
Step-by-step explanation:
Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin
General formula for z score is given by
z=
where
- X is the miraculin produced (120,110,100)
- M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
- s is the standard deviation of the sample, which is 8.0
a)
z-score for 120 g miraculin is 
=1.8375 then
P(x > 120) = P(z>1.8375) = 0.033
b)
z-score for 110 g miraculin is 
= 0.5875
z-score for 100 g miraculin is 
= -0,6625
P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678
c)
if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:
=-0.6625 which gives a= 100
Using it's concept, considering the number of desired and total outcomes, it is found that the probabilities are given by:
a. 0.6 = 60%.
b. 0.4 = 40%.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In an experimental probability, these numbers of outcomes are taken from previous trials.
Researching the problem on the internet, it is found that there is a total of 127 + 44 + 95 + 104 = 370 customers.
Item a:
127 + 95 = 222 customers prefer either baked potato or asparagus, hence the probability is given by:
p = 222/370 = 0.6 = 60%.
Item b:
44 + 104 = 148 customers prefer either steamed broccoli or sweet potato, hence the probability is given by:
p = 148/370 = 0.4 = 40%.
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Answer:
this is your look it once
