Ok so the answer is 160/32
Answer:
The standard deviation would have to be 0.05.
Step-by-step explanation:
We can solve this problem using the 68-95-99.7 rule for normal distributions:
The rule states that:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
What would the value of σ have to be to ensure that 95% of all readings are within 0.1° of μ?
This means that 2 standard deviations would need to be within 0.1 of the mean. So



The standard deviation would have to be 0.05.
Answer:
$10,800
Step-by-step explanation:
Given that:
Wholesale price of the truck = $12,000
At the special sales event, the discount offered on the price = 10% of the wholesale price
Therefore the discount can be calculated as follows:
10% of Wholesale price
Wholesale price is given as $12,000.

Now, we have to find the price to be paid by customer after the discount being offered due to the special sales event.
Discounted price = Wholesale price - Discounted offered due to special sales event.
Discounted price = $12000 - $1200 = <em>$10,800</em>
<em></em>
Therefore, the answer is:
<em>$10,800</em>
<u>Answer:</u>
No solution
<u>Step-by-step solution:</u>
We are given an expression:

We have only one variable
so we will make
the subject and solve for it.

Solving the brackets first to get:

Taking LCM on both sides to get:

By cross multiplication:



gets cancelled so we are left with 
Therefore,
has no solution.
Answer: 54.4°
Step-by-step explanation:
If the spotlight is mounted 7.3 meters high, its height will be 7.3meters.
If A is 10.2 meters from the base of the pole, the base of the pole to the parking area will be 10.2meters
The angle of the depression will be facing the base directly therefore, the base will be the opposite of the triangle formed and the height of 7.3m will be the adjacent.
To get the depression angle, we use the trigonometry identity SOH, CAH, TOA
Since we have opposite and adjacent, we will use "TOA" which means
Tan theta = Opposite/Adjacent
Opposite = 10.2m Adjacent = 7.3
Tan theta = 10.2/7.3
Tan theta = 1.39
theta = arctan 1.39
Theta = 54.4°
The angle of depression that the spotlight should aim at is 54.4°