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3 years ago

What is the prime factorizarion for 500

Mathematics

2 answers:

Anni [7]3 years ago

7 0

Answer:

2^2 x 5^3{2 to the power of 2[2 x 2=(4)] x 5 to the power of 3[5 x 5 x 5=(125)]}

Step-by-step explanation:

500

/ \

2 250

{Choose a factor pair that multiplies to get 500}

/ \

2 125

{If the number is even, split it up into 2 factor pairs=*}

/ \

5 25

{*}

/ \

5 5{Once both numbers are odd, stop splitting them.}

The numbers I had both underlined & italicized should be multiplied. 2 x 2 is the same as 2^2, as 5 x 5 x 5 is basically 5^3,=. 2^2 x 5^3 = 500, just as 250 x 2 = 500.

Nataly_w [17]3 years ago

5 0

Answer:

2 exponents (2) times 5 exponents (3)

Step-by-step explanation:

To find the prime factors you start by dividing the number by the first prime number which is 2 if there is not a remainder meaning you can divide evenly anymore write down how many 2's you were able to divide by evenly now try dividing by the the next prime factor which is 3 the goal is to get to a quotient of 1

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Test scores of the student in a school are normally distributed mean 85 standard deviation 3 points. What's the probability that

Mrrafil [7]

Answer:

The probability that a random selected student score is greater than 76 is $\\ P(x>76) = 0.99865$ .

Step-by-step explanation:

The Normally distributed data are described by the normal distribution. This distribution is determined by two parameters, the population mean $\\ \mu$ and the population standard deviation $\\ \sigma$ .

To determine probabilities for the normal distribution, we can use the standard normal distribution, whose parameters' values are $\\ \mu = 0$ and $\\ \sigma = 1$ . However, we need to "transform" the raw score, in this case x = 76, to a z-score. To achieve this we use the next formula:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

And for the latter, we have all the required information to obtain z. With this, we obtain a value that represent the distance from the population mean in standard deviations units.

<h3>The probability that a randomly selected student score is greater than 76</h3>

To obtain this probability, we can proceed as follows:

First: obtain the z-score for the raw score x = 76.

We know that:

$\\ \mu = 85$

$\\ \sigma = 3$

$\\ x = 76$

From equation [1], we have:

$\\ z = \frac{76 - 85}{3}$

Then

$\\ z = \frac{-9}{3}$

$\\ z = -3$

Second: Interpretation of the previous result.

In this case, the value is three (3) standard deviations below the population mean. In other words, the standard value for x = 76 is z = -3. So, we need to find P(x>76) or P(x>-3).

With this value of $\\ z = -3$ , we can obtain this probability consulting the cumulative standard normal distribution, available in any Statistics book or on the internet.

Third: Determination of the probability P(x>76) or P(x>-3).

Most of the time, the values for the cumulative standard normal distribution are for positive values of z. Fortunately, since the normal distributions are symmetrical, we can find the probability of a negative z having into account that (for this case):

$\\ P(z>-3) = 1 - P(z>3) = P(z$

Then

Consulting a cumulative standard normal table, we have that the cumulative probability for a value below than three (3) standard deviations is:

$\\ P(z$

Thus, "the probability that a random selected student score is greater than 76" for this case (that is, $\\ \mu = 85$ and $\\ \sigma = 3$ ) is $\\ P(x>76) = P(z>-3) = P(z$ .

As a conclusion, more than 99.865% of the values of this distribution are above (greater than) x = 76.

We can see below a graph showing this probability.

As a complement note, we can also say that:

$\\ P(z3)$

Which is the case for the probability below z = -3 [P(z<-3)], a very low probability (and a very small area at the left of the distribution).

5 0

3 years ago

Easy Question! 5pts + branliest for the correct answer!

Advocard [28]

Answer:

Step-by-step explanation:

For the two digit numbers it has to end in a zero or five and be greater than 9 and below 100.

There are 18 multiples of 5 that are 2 digit

For multiples of 7... it's easier to write it out because the total number will will less than 20.

There are 13 multiples of 7 that are 2 digits

Now you have to subtract the multiples of 7 that end in a 0 or 5

That give you 11 multiples

Add 11 and 18 to get 29

5 0

3 years ago

Read 2 more answers

There are 9 students in the school choir. The ratio of girls to boys in the choir is 5 : 4. Two girls are absent from practice o

pishuonlain [190]

Answer:

5:9

Step-by-step explanation:

4 0

3 years ago

Haii guys I need help ASAP pleasee

Evgen [1.6K]

Answer: 100

Step-by-step explanation: Part B is 100, you get that answer because you have ten put out the 1 and then the two is telling you to put 2 zeros .

3 0

3 years ago

At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars

DiKsa [7]

Correct Question:

At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?

1. p = 5d

2. d = p + 5

3. d = 5p

Answer:

3. d = 5p

Step-by-step explanation:

As one plate of cookies price is 5 $

The d is expressed as numbers of dollars which are earned.

Earnings = d = 5 x number of plates sold (p)

therefore

d = 5p

5 0

3 years ago

What is the prime factorizarion for 500​

What is the prime factorizarion for 500