MATHEMATICS COLLEGE

265000 in standard form

Answers

Answer 1

Answer:

Answer:

2.65×10^5

Step-by-step explanation:

Answer 2

Answer:

Answer:

$2.65 \cdot 10^5$

Step-by-step explanation:

265000 can be rewritten as $2.65 \cdot 10^5$ , since the decimal place moved 5 to the left. Hope this helps!

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The question is in the pic pls help

Answers

Answer:

pink

Step-by-step explanation:

An office will increase salary to its top 8% employees on the basis of a performance score the office created for each employee. The performance score is approximately normal with mean 82.5 and standard deviation 9.25. How high must an employee score in order to qualify for increase in the salary?

Answers

Answer:

An employee's score in order to qualify for increase in the salary must be higher than 95.45.

Step-by-step explanation:

Let X represent the performance score of employees.

It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.

It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.

That is, the probability to qualify for increase in the salary is,

P (X > x) = 0.08

⇒ P (X < x) = 0.92

⇒ P (Z < z) = 0.92

The corresponding z-value is,

z = 1.40

Compute the value of x as follows:

$z=(x-\mu)/(\sigma)\n\n1.40=(x-82.5)/(9.25)\n\nx=82.5+(1.40* 9.25)\n\nx=95.45$

Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.

Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting a fence across its middle. If each lot is to contain 2,700 square feet, what is the minimum amount of fence (in ft) needed to enclose the lots (include the fence across the middle)

Answers

Answer:

360 feet

Step-by-step explanation:

Area = 2XY = 2 · 2,700 = 5,400

Perimeter = (2 · 2X) + 3Y = 4X + 3Y

Y = 5,400 / 2X = 2,700 / X

Perimeter = 4X + 8,100/X

P'(x) = 4 - 8,100/X² = 0

4 = 8,100/X²

X² = 8,100 / 4 = 2,025

X = √2,025 = 45

Y = 2,700 / 45 = 60

Perimeter = (4 · 45) + (3 · 60) = 180 + 180 = 360 feet

Find the slope of the line that contains the points:
(-6, 3) and (-4, 5).

Answers

Answer:

slope m=1

Step-by-step explanation:

m=y2-y1/x2-x1

m=5-3/-4-(-6)

m=5-3/-4+6

m=2/2

m=1

What’s the answer to this ?

Answers

Answer:

59.44 units²

Step-by-step explanation:

The area of each triangular section can be computed from the side length (5 units) and the central angle (72°) as ...

... section area = (1/2)sin(72°)·5² ≈ 12.5·0.951057 ≈ 11.8882 . . . units²

Then 5 such sections will have an area of ...

... pentagon area = 5·11.8882 units² = 59.4410 units²

_____

Comment on central angle

The central angles total 360°. There are 5 equal sections, so the central angle for each of them is 360°/5 = 72°.

Comment on area formula

It can be occasionally handy to know that the area of a triangle can be computed from the lengths of adjacent sides and the angle between them. The formula for sides of length "a" and "b" and angle β is ...

... A = (1/2)ab·sin(β)

Find the seventh term of thegeometric sequence, given the
first term and common ratio.
a_=1 and r=-2/3
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