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r-ruslan [8.4K]
3 years ago
6

What are the prime factors of 252, 270 and 300

Mathematics
1 answer:
tangare [24]3 years ago
6 0

252 = 2 * 126 = 2 * 2 * 63 = 2* 2 * 3 * 3 * 7

270 = 3 * 3 * 3 * 2 * 5

300 = 2 * 2 * 3 * 5 * 5

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Estimate each cube root to the nearest integer 74 to the 3rd power ​
OleMash [197]

Answer:

74

Step-by-step explanation:

The cube root of 74^3 will be 74. The cub and cube root cancel each other out.

8 0
3 years ago
In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due
jok3333 [9.3K]

Answer:

   

Step-by-step explanation:

Let us denote probability of   spoilage as follows

Transformer spoilage = P( T ) ; line spoilage P ( L )

Both P ( T ∩ L ) .

Given

P( T )  = .05

P ( L ) = .08

P ( T ∩ L ) = .03

a )

For independent events

P ( T ∩ L ) =  P( T ) x  P ( L )

But  .03  ≠  .05 x .08

So they are not independent of each other .

b )

i )

Probability of line spoilage given that there is transformer spoilage

P L/ T ) = P ( T ∩ L ) / P( T )

= .03 / .05

= 3 / 5 .

ii )

Probability of transformer spoilage but not line spoilage.

P( T ) - P ( T ∩ L )

.05 - .03

= .02

iii )Probability of transformer spoilage given that there is no line spoilage

[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )

=  .02 / 1 - .08

= .02  / .92

= 1 / 49.

i v )

Neither transformer spoilage nor there is no line spoilage

= 1 - P ( T ∪ L )

1 - [  P( T ) +  P ( L ) - P ( T ∩ L ]

= 1 - ( .05 + .08 - .03 )

=  0 .9

8 0
3 years ago
Find the value of x.<br> 2x420<br> 3x+10
Elden [556K]

Answer:

2x+20+3x+10 = 180 (int. angles, parallel)

5x+30 = 180

5x=150

x=30

5 0
2 years ago
Simplify the expression 3^-8× 34.
Alborosie

Answer:

= \frac{34}{6561}

Step-by-step explanation:

= 3^{-8}\times \:34\\= 34\times \frac{1}{3^{8} } \\= \frac{1\times \:34}{3^{8} } \\= \frac{34}{3^{8} } \\= \frac{34}{6561}

5 0
4 years ago
What is the value of x when 1 3 x = 9 1 3 ?
Elena L [17]

Answer:

70.2307692308

Rounding to the nearest whole number is 70

70.23 is the best answer

Step-by-step explanation:

Divide 913 and 13 to get the answer

6 0
3 years ago
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