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snow_lady [41]
3 years ago
5

Equivalent fraction on 9/24

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0
One equivalent fraction to 9/24 - since 3 goes into both 9 and 24, you can divide each by 3 to get -- 3/8
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A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two
Vikentia [17]

Answer:

the probability of no defects in 10 feet of steel = 0.1353

Step-by-step explanation:

GIven that:

A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two.

Let consider β to be the average value for defecting

So;

β = 2

Assuming Y to be the random variable which signifies the anticipated number of defects in a 10-foot segment of this roll.

Thus, y follows a poisson distribution as number of defect is infinite with the average value of β = 2

i.e

Y \sim P( \beta = 2)

the probability mass function can be represented as follows:

\mathtt{P(y) = \dfrac{e^{- \beta} \ \beta^ \ y}{y!}}

where;

y =  0,1,2,3 ...

Hence,  the probability of no defects in 10 feet of steel

y = 0

\mathtt{P(y =0) = \dfrac{e^{- 2} \ 2^ \ 0}{0!}}

\mathtt{P(y =0) = \dfrac{0.1353  \times 1}{1}}

P(y =0) = 0.1353

4 0
3 years ago
Please help i need this answer quick for a test
Oksi-84 [34.3K]

Answer: the depth of the trench is 3685 ft

Step-by-step explanation:

The hole is approximately 347 yards wide. This means that the diameter of the hole is 347 yards.

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder or hole.

h represents the height or depth of the cylinder or hole.

π is a constant whose value is 3.14

From the information given,

Volume = 348289500 ft³

Radius = diameter/2 = 347/2 = 173.5 ft

Therefore,

348289500 = 3.14 × 173.5² × h

348289500 = 94521.065h

h = 348289500/94521.065

h = 3685 feet

4 0
3 years ago
What is 5x + 12 < 2 ?
Masja [62]

Answer:

x < -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

5x + 12 < 2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract 12 on both sides:                       5x < -10
  2. [Division Property of Equality] Divide 5 on both sides:                                 x < -2
5 0
2 years ago
Read 2 more answers
Factorize 9(a+1)^2-81​
lora16 [44]

Answer:

The answer is 9(a-2)(a+4).

Step-by-step explanation:

Use a^{2} -b^{2} =(a-b)(a+b)  

9(a+1)^{2} -81= 9( (a+1)^{2}-9)=  9( (a+1)^{2}-3^{2} )= 9(a+1-3)(a+1+3)\\=9(a-2)(a+4).

6 0
3 years ago
Evaluate 9÷3[(20-7)-2^2]
german

Answer:

43

Step-by-step explanation:

You will have to use the PEMDAS rule here. so Parntheses goes first, then exponents, then mutiplicaton or division, and finally addition or subtraction.

20-7= 13

-2^2 = (-2 * -2) = 4

9/3 = 3

so... 13*3 = 39+4 =43

3 0
3 years ago
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