The Solution:
Given:
Required:
Find the standard deviation of the probability distribution.
Step 1:
Find the expected value of the probability distribution.


Step 2:
Find the standard deviation.




Thus, the standard deviation is 1.60
Answer:
1.60
The question is:
A cake recipe calls for 550 grams of flour. About how many pounds of flour do you need? Use the conversion factors (1 ounce)/(28.4 grams) and (1 pound)/(16 ounces).
Answer:
About 1.2 pounds of flour is needed.
Step-by-step explanation:
Given that the cake recipe calls for 550 grams, we want to determine about how many pounds of flour we need.
This simply means we want to convert 550 grams to pounds.
First, we were given (1 ounce)/(28.4 grams)
This implies that
1/28.4 = x/550 ..............................(1)
Where x is 550 grams in ounce.
Solving (1)
28.4x = 550
=> x = 550/28.4
≈ 19.3662
That is 550 grams is equal to 19.3662 ounce
Next, we are given the ratio (1 pound)/(16 ounce). We then convert 19.3662 ounce to pound
Let y be 19.3662 ounce in pound
=> 1/16 = y/19.3662
16y = 19.3662
y = 19.3662/16
≈ 1.2
That is 19.3662 ounce is equal to 1.2 pounds.
Therefore, 550 grams is equal to 1.2 pounds, and it is the amount of flour needed.
<span>1/4+3/4+3 3/4+1 1/2+5 1/2, which is 11 3/4 ounces.</span>
Answer:
The answer is a well designed experiment.
Step-by-step explanation:
When possible, the best way to establish that an observed association is the result of a cause and effect relation is by means of - well designed experiment.
Cause and effect relation is a relation between events, where one is the result, due to the occurrence of others. A well designed experiment takes place when we consider the cause and effect of events.
Answer: the third option is the correct answer
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is 16√3
With m∠30 as the reference angle,
the adjacent side of the right angle triangle is x.
the opposite side of the right angle triangle is y.
To determine x, we would apply
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = x/16√3
√3/2 = x/16√3
x = √3/2 × 16√3 = 3 × 8
x = 24
To determine y, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = y/16√3
1/2 = y/16√3
y = 16√3 × 1/2
y = 8√3