Answer:
29. 15.87%
30. 4.75%
31. 0.62%
32. probability cannot be calculated (0%)
Step-by-step explanation:
We have that the formula of the normal distribution is:
z = (x - m) / sd
where x is the value we are going to evaluate, m is the mean and sd is the standard deviation
x = 16 and m = 16.5
when sd = 0.5
z = (16 - 16.5) /0.5
z = -1
Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%
when sd = 0.3
z = (16 - 16.5) /0.3
z = -1.67
Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%
when sd = 0.2
z = (16 - 16.5) /0.2
z = -2.5
Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%
when sd = 0
z = (16 - 16.5) / 0
z = infinity
probability cannot be calculated
Answer:
(3, -4)
General Formulas and Concepts:
<u>Alg I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
Step-by-step explanation:
<u>Step 1: Define function</u>
y - 3 = 2(x + 4)
<u>Step 2: Break function</u>
Coordinate (3, -4)
Slope <em>m</em> = 2
Lakisha's total job benefits per year are (D) $58,196.
<h3>
What are employees' benefits?</h3>
- Employee perks and benefits in kind are non-wage compensation provided to employees in addition to their regular income or salary.
- A "salary package" or "salary exchange" arrangement is one in which an employee exchanges salaries for some other type of compensation.
To find Lakisha's total job benefits:
If Lakisha's employer pays $2,150 in health insurance and $86 in life insurance per year, and she also gets $3,520 in paid time off per year, then Lakisha's total job benefits per year are equal to:
Total Benefits = Health Insurance + Life Insurance + Paid Time Off + Annual Gross Pay
- Total Benefits= $2,150+$86+$3,520+12($4,370)
- Total Benefits= $2,150+$86+$3,520+$52,440
- Total Benefits=$58,196
Therefore, Lakisha's total job benefits per year are (D) $58,196.
Know more about employees benefits here:
brainly.com/question/12143528
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Answer:
Step-by-step explanation:
The standard form for this function is
y = Asin(Bx - C) + D where
A is the amplitude,
B is used to find the period in the formula 
,
C is used to find the phase shift in the formula 
,
and D is the midline which either moves the function up or down from its natural midline of 0.
We have no given phase shift, so there is no C value. The amplitude is easy; we just fill in A as 4. The period is another story:
and we solve for B by cross multiplying:
3πB = 4π and
so
so the function is
To find the circumference of a circle you multiply pi (3.14) by the diameter ad to find the area you multiply pi (3.14) times the radius squared
Since the circumference is 31.4 divide that by pi to find the diameter which is 10
The radius of a circle is half of the diameter, so for this circle the radius is 10 / 2 = 5
Take the radius and square it : 5^2 = 25
Then multiply the squared radius by pi (3.14) to find the are : 25 * 3.14 = 78.5
So the area of this circle is 78.5 centimeters squared
Hope this helps! Mark as Brainliest please! :)))
