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2 years ago

What is 93+(68+7) property

Mathematics

1 answer:

allochka39001 [22]2 years ago

4 0

The associative property states a + (b + c) = (a + b) + c

So your answer is associative property.

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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

2 years ago

An algebra class has 16 students and 16 desks. For the sake of variety, students change the seating arrangement each day. How ma

sineoko [7]

Answer: a) 2092278989 b) 576, c) $\dfrac{576}{2092278989}$

Step-by-step explanation:

Since we have given that

Number of students = 16

Number of desks = 16

a) How many days must pass before the class must repeat a seating arrangement?

$16!=2092278989$

If the number of rows = 4

b) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

$4!\times 4!\\\\=24\times 24\\\\=576$

c) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

$\dfrac{576}{2092278989}$

Hence, a) 2092278989 b) 576, c) $\dfrac{576}{2092278989}$

6 0

3 years ago

1 Mr. Ruiz made a map of his ranch on the grid shown below.

tatuchka [14]

Answer: C, 20%

Hope this helps

5 0

2 years ago

Given the functions: f(x) = x^2-9 and g(x) = 3 what is (f/g)(x)? A. x-3 B. x-9 C. x+3 D. x+9

uysha [10]

Answer:

f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

)(x)=

g(x)

f(x)

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}

3 0

2 years ago

Mark -5/7, 2/7, 6/7, -1 on a number line.<br>if u will answer i will mark u as brainlist.

DerKrebs [107]

Answer:

So first converthem into a deciaml if the number line is ordered by decimals or make them from least to greatest, left to right.

Decimal:

If asking for s decimal, the -1 is definitely the least so -1. For -5/7, it’s just -0.71 (rounded), for 2/7, its 0.28 and for 6/7 its 0.86.

6 0

2 years ago