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hoa [83]
1 year ago
9

HELP PLEASE The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a

standard deviation Sigma = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000 A. -5 B. -3.5 C. -1.5 D.1.5
Mathematics
2 answers:
Gelneren [198K]1 year ago
5 0

Answer:

c/ -1.5

Step-by-step explanation:

edge 2020

Phantasy [73]1 year ago
4 0

Answer:

C

Step-by-step explanation:

In this question, we are interested in calculating the z-score of a company employee.

Mathematically;

z-score = (x- mean)/SD

where in this case;

x is the value given which turns out to be the annual salary of the employee = 28,000

Mean = 34,000

standard deviation = 4,000

Plugging these values into the equation above, we have;

z-score = (28000-34000)/4000 = -6000/4000 = -1.5

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A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
aev [14]

Answer:

The volume of the sphere is 1436 in³

The equation is    

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

6 0
2 years ago
Juliette spends $6.12 at the store. Morgan spends 3 times as much ad Juliette. Jonah soends $4.29 more than Morgan. How much mon
sladkih [1.3K]
$22.65 is the answer to your question
5 0
1 year ago
Read 2 more answers
Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk, chair, and lamp. (a)How many
BigorU [14]

Answer:

a) 20 ways

b) 10 ways

Step-by-step explanation:

When the order of selection/choice matters, we use Permutations to find the number of ways and if the order of selection/choice does not matter, we use Combinations to find the number of ways.

Part a)

We have to chose 2 objects from a group of 5 objects and order of choice matters. This is a problem of permutations, so we have to find 5P2

General formula of permutations of n objects taken r at time is:

nPr=\frac{n!}{(n-r)!}

Using the value of n=5 and r=2, we get:

5P2=\frac{5!}{(5-2)!} =20

Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice matters.

Part b)

Order of choice does not matter in this case, so we will use combinations to find the number of ways of choosing 2 objects from a group of 5 objects which is represented by 5C2.

The general formula of combinations of n objects taken r at a time is:

nCr=\frac{n!}{r!(n-r)!}

Using the value of n=5 and r=2, we get:

5C2=\frac{5!}{2!(5-2)!} =10

Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice does not matters.

3 0
2 years ago
Read 2 more answers
A project’s critical path is composed of activities A (variance .33), B (variance .67), C (variance .33), and D (variance .17).
julia-pushkina [17]

Answer:

The standard deviation on the critical path = 0.834

Step-by-step explanation:

Variance of activity A (V_{1}) = 0.33

Variance of activity B (V_{2}) = 0.67

Variance of activity C (V_{3}) = 0.33

Variance of activity D (V_{4}) = 0.17

Thus the standard deviation on the critical path (\alpha ^{2}) = V_{1} ^{2} + V^2_{2} +  V^2_{3} + V^2_{4}

                                                                             \alpha ^{2}  = 0.33^{2} + 0.67^{2} + 0.33^{2} + 0.17^{2}

                                                                             \alpha ^{2} = 0.6956

                                                                             \alpha = 0.834

The standard deviation on the critical path = 0.834

4 0
1 year ago
Regular pentagonal tiles and triangular tiles are arranged in the pattern shown. The pentagonal tiles are all the same size and
professor190 [17]
First of all you have to find the missing measurements. The actual measurements for the angles in the hexagon are not given, but they give you an expression. You have to solve for x first so that you can plug it in and find the angle measurement. You have to equal the two sides that are given to you like this: 20x+48=33x+9. You solve for x and then plug it into each angle measurement. This should give you 108. Since it is a regular hexagon all of the sides are equal. If you look at the angle at the top of the hexagon you'll see two triangles and the angle. Since it lies on a straight line, it is all equal to 180. You already have the angle measurement of the hexagon and are missing the triangles. So 180-108=72. 72 is the missing part of the angle. You divide this by 2 in order to find each triangle angle measurements. the answer is 36 degrees. 
7 0
1 year ago
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