Answer:
4.2
Step-by-step explanation:
10% of 42 is 4.2
Answer:
0.00084
Step-by-step explanation:
We are given that
Mean, square feet
Standard deviation, square feet
n=50
We have to find the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet.
Using the formula
Hence, the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet=0.00084
Since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j
To find vector v in component form, we need to know what a vector is
<h3>What is a vector?</h3>
A vector is a physical quantity that has both magnitude and direction.
<h3>Component of a vector</h3>
A vector can be resolved into perpendicular components along the x, y and z axis.
<h3>Components of vector v</h3>
Since vector v has a magnitude of 4 making an angle of 30 with the positive x - axis, its x-component is V = (vcos30°)i
= (4cos30°)i
= (4 × √3/2)i
= 2√3i.
The y-component of v is V' = (vsin30°)j
= (4 × sin30°)j
= (4 × 1/2)j
= 2j
<h3>Vector v in component form</h3>
So, vector v in component form is v = V + V'
= 2√3i + 2j
So, since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j
Learn more about vectors here:
brainly.com/question/25705666
Functions can be represented using equations and graphs Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.
<h3>How to determine the key features?</h3>
The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.
The functions are given as:
Using a graphing calculator:
The domain of g(x) is [4, ∞)
The range of g(x) is [0, ∞)
The domain of f(x) is (–∞, ∞),
The range of f(x) is [0, ∞)
Both functions have positive values for their domains
By comparing the above highlights, the true statement between functions g(x) and f(x) is option 3
Read more about function domain and range at:
brainly.com/question/10197594
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