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3 years ago

What is the prime factorization of 60

Mathematics

1 answer:

jeka57 [31]3 years ago

5 0

Answer:

2*2*3*5

Step-by-step explanation:

We need to factor 60 until it is prime numbers

60 = 12*5 5 is prime 12 is not

=3*4 *5 3,5 prime 4 is not

= 3 *2*2 *5 2,3,5 are prime

Rearranging the order

=2*2*3*5

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as y goes up 3 x goes up 4

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3 years ago

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3 years ago

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2 years ago

Tristan is building steps up to a deck that is 156 5 6 yards above the ground. The steps must all be the same height. If he want

ss7ja [257]

Answer:

The height of each step is 1957 yard

Step-by-step explanation:

we are given

Tristan is building steps up to a deck that is 15656 yards above the ground

so, total height =15656 yards

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now, we can use formula

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now, we can plug these values

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Height of each step is

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8 0

3 years ago

Final exam scores are normally distributed with a mean of 74 and a standard deviation of 6. Approximately, what percentage of fi

notka56 [123]

Answer:

81.86%

Step-by-step explanation:

We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.

First of all we will find z-score using z-score formula.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{68-74}{6}$

$z=\frac{-6}{6}=-1$

Now let us find z-score for 86.

$z=\frac{86-74}{6}$

$z=\frac{12}{6}=2$

Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.

Using normal distribution table we will get,

$P(-1$

$P(2>Z)=.97725$

We will use formula $P(a$ to find the probability to find that a normal variable lies between two values.

Upon substituting our given values in above formula we will get,

$P(-1$

Upon converting 0.81859 to percentage we will get

$0.81859*100=81.859\approx 81.86$

Therefore, 81.86% of final exam score will be between 68 and 86.

3 0

3 years ago