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svetoff [14.1K]
2 years ago
14

A company’s mean salary is $65,000 with a standard deviation of $6,000. What is the probability that an employee makes between $

70,000 and $80,000?

Mathematics
1 answer:
MakcuM [25]2 years ago
6 0

Answer: 0.19706

Step-by-step explanation:

-Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:

Hence,the probability that an employee makes between $70,000 and $80,000 is 0.19706

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The length of ZX is 2 units. What is the perimeter of triangle XYZ? 5 + + 2 units 5 + 3 units 5 + + 2 units 10 + 2 units
Shtirlitz [24]

Answer:

B) 5 + 3√5 units

Step-by-step explanation:

The length of ZX is 2√5 units. What is the perimeter of triangle XYZ?  

A) 5 +√3 + 2 √5 units  

B) 5 + 3√5 units  

C) 5 + √6 + 2√5 units  

D) 10 + 2√5 units

From the diagram attached, point X is at (-1, 4), Y(3, 1), Z(1, 0).

The distance between two point

O(x_1,y_1)\ and\ A(x_2,y_2)\ is\ given\ as:\\\\OA=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

The lengths of the sides of the triangle are:

|XY| = \sqrt{(3-(-1))^2+(1-4)^2}=\sqrt{25} =5\ unit\\ \\|XZ|= \sqrt{(1-(-1))^2+(0-4)^2}=\sqrt{20} =2\sqrt{5} \ unit\\\\|YZ|= \sqrt{(1-3)^2+(0-1)^2}=\sqrt{5} \ unit

The perimeter of the triangle is the sum of all the sides, i.e.

Perimeter = |XY| + |YZ| + |XZ| = 5 + 2√5 + √5 = 5 + 3√5  

7 0
3 years ago
If I use the Quotient of Powers Property to simplify this expression, I should ( add, subtract, multiply, divide) the exponents.
Makovka662 [10]
7^8 / 7^6 = 7^2 = 49
The formula is [a^m / a^n = a^m-n]
I hope this helped :)
7 0
3 years ago
A newspaper reports the following changes in the temperature of a city over 4 days:
Pie

Answer:

The expression to show the average daily change in temperature can be given by :

⇒ \frac{2.64-0.22-0.35+0.63}{4}°C

Step-by-step explanation:

Changes in the temperature of city as reported by newspaper :

Day 1: 2.64° C

Day 2: -\frac{2}{9}°C

Day 3: -0.35°C

Day 4: \frac{5}{8}°C

The average daily change in temperature can be calculated as

⇒ \frac{2.64-\frac{2}{9}-0.35+\frac{5}{8}}{4}°C

The fractions can be written in decimals

⇒ \frac{2.64-0.22-0.35+0.63}{4}°C

⇒ \frac{2.7}{4}°C

⇒ 0.675\°C\approx 0.68°C [Average daily change in temperature.]

6 0
3 years ago
Rewrite the following equation in standard form and determine if there is a solution.
Debora [2.8K]

Answer:

| x + 4 |  = -1    No solution

Step-by-step explanation:

                                                 3 | x + 4 | + 12 = 9

Subtract 12 from both sides:         3 | x + 4 |  = -3

Divide both sides by 3:                     | x + 4 |  = -1

Absolute value cannot be negative, so there is no solution.

5 0
2 years ago
The table compares the initial amount of fuel Li Jing's car had, and the total distance she traveled using that amount, in sever
AlekseyPX

Answer:

Um so idk the process but yes it can be found :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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