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3 years ago

Rename 5/6 and 5/8 using the least common denominator.

Mathematics

1 answer:

Marina CMI [18]3 years ago

6 0

Answer:

5/6 = 20/24

5/8 = 15/24

Step-by-step explanation:

These are the answers because:

1) First, the least common denominator is 24 because 8 x 3 is 24 and 6 x 4 is 24

2) Next, multiply the numerators with the same number you multiplied with the denominator

5 x 3 = 15

5 x 4 = 20

3) Therefore, the answers are:

5/6 = 20/24

5/8 = 15/24

Hope this helps!

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Household incomes are normally distributed with a mean of $47,500 and a standard deviation of $12,500. What is the probability o

Romashka [77]

Answer:

Option C: 15.87 is the correct answer

Step-by-step explanation:

Given

Mean = $47500

SD = $12500

We have to find the probability of having $60000 or more

So,

x = $60000

The z-score will be:

$z-score = z = \frac{x-mean}{SD}\\z = \frac{60000-47500}{12500}\\= \frac{12500}{12500}\\= 1$

Looking in the z-score table, we get

P(Z<60000) = 0.8413

In order to find the probability P(Z>60000) => 1-P(Z<60000)

= 1-0.8413

=0.1587

Converting into percentage: 0.1587*100 = 15.87%

Hence,

Option C: 15.87 is the correct answer

4 0

3 years ago

The graph of the equation x=y2+4is symmetric with respect to which of the following

lyudmila [28]

Answer:

The x-axis

Step-by-step explanation:

The graph of the equation x=y2+4 is symmetric with respect to the x-axis.

To test for symmetry with respect to the x-axis we substitute -y in place of y and simplify the equation. If the resulting equation is identical to original one then the function is symmetric with respect to the x-axis;

$x=y^{2} +4\\x=(-y)^{2} +4\\x=y^{2} +4$

which is identical to the original equation

3 0

3 years ago

Read 2 more answers

An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defe

Hatshy [7]

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$