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2 years ago

What is the rule when finding the sum of numbers from 1-100?

Mathematics

1 answer:

Sphinxa [80]2 years ago

6 0

Answer:

Step-by-step explanation:

Sum of 1 through 100 = 100×(1+100)/2

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The length of a picture frame is 6 inches more than the width. For what values of x is the perimeter of the picture frame greate

zhannawk [14.2K]

Answer:

Step-by-step explanation:

35 is exactly 152 but since its asking for greater then you're right it is 36.

But since it says '>' it means not equal to so it would be:

x > 35

x ≥ 36

3 0

2 years ago

Suppose that a brand of lightbulb lasts on average 1730 hours with a standard deviation of 257 hours. Assume the life of the lig

Debora [2.8K]

Answer:

P [ 1689 ≤ X ≤ 2267 ] = 54,88 %

Step-by-step explanation:

Normal Distribution

Mean μ₀ = 1730

Standard Deviation σ = 257

We need to calculate z scores for the values 1689 and 2267

We apply formula for z scores

z = ( X - μ₀ ) /σ

X = 1689 then

z = (1689 - 1730)/ 257 ⇒ z = - 41 / 257

z = - 0.1595

And from z table we get for z = - 0,1595

We have to interpolate

- 0,15 0,4364

- 0,16 0,4325

Δ = 0.01 0.0039

0,1595 - 0,15 = 0.0095

By rule of three

0,01 0,0039

0,0095 x ?? x = 0.0037

And 0,4364 - 0.0037 = 0,4327

Then P [ X ≤ 1689 ] = 0.4327 or P [ X ≤ 1689 ] = 43,27 %

And for the upper limit 2267 z score will be

z = ( X - 1730 ) / 257 ⇒ z = 537 / 257

z = 2.0894

Now from z table we find for score 2.0894

We interpolate and assume 0.9815

P [ X ≤ 2267 ] = 0,9815

Ths vale already contains th value of P [ X ≤ 1689 ] = 0.4327

Then we subtract to get 0,9815 - 0,4327 = 0,5488

Finally

P [ 1689 ≤ X ≤ 2267 ] = 0,5488 or P [ 1689 ≤ X ≤ 2267 ] = 54,88 %

8 0

3 years ago

A square comer of 16 square centimeters is removed

Crazy boy [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The original price of a motorcycle was reduced by $275.

Sati [7]

The answer would be C. p - 275. If the original price of the motorcycle is p, and it was REDUCED, that means to subtract from p.

4 0

3 years ago

Read 2 more answers

Sketxh the graph of y=(x+3)^3 and state the points where the graph crosses the axes

gtnhenbr [62]

Answer: the graph crosses the x-axis at x = -3

Step-by-step explanation:

y = (x + 3)³

To find where the graph crosses the x-axis, let y = 0 and solve for x:

0 = (x + 3)³

0 = (x + 3) with a multiplicity of 3

-3 = x with a multiplicity of 3.

Since multiplicity is an ODD number, the graph CROSSES the x-axis at x = -3

Graph:

Leading coefficient is POSITIVE so right side goes to +∞
Degree of polynomial is ODD so left side goes to -∞

graph is attached

6 0

2 years ago