The common endpoint of two rays that form an angle is called the ______________

What’s the calculation of the equation 5/8-1/4=

Kay [80]

Answer: 3/8

Explanation: To subtract unlike fractions such as 5/8 - 1/4, first find a common denominator. The common denominator of 8 and 4 will be the least common multiple of 8 and 4 which is 8.

Notice that our first fraction already has 8 in the denominator so it stays the same. To get 8 in the denominator of 1/4, we multiply the numerator and denominator by 2 to get 2/8.

Now we have 5/8 - 2/8.

To subtract like fractions, we simply subtract the numerators to get 3 and keep our denominator of 8 and we have 3/8.

Since 3/8 is in lowest terms, it's our final answer.

Therefore, 5/8 - 1/4 = 3/8.

4 0

3 years ago

Find the least common denominator and write the equivalent fractions 1/6 and 1/9

Monica [59]

Answer:

1/6 - least common - 3/18

1/9 - least common - 2/18

3/18 is equivalent to 1/6

1/9 is equivalent to 2/18

Step-by-step explanation:

Rewriting input as fractions if necessary:

1/6, 1/9

For the denominators (6, 9) the least common multiple (LCM) is 18.

LCM(6, 9)

Therefore, the least common denominator (LCD) is 18.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/6 = 1/6 × 3/3 = 3/18

1/9 = 1/9 × 2/2 = 2/18

6 0

2 years ago

Read 2 more answers

What is the square root of 216?

KATRIN_1 [288]

$\sqrt{216}=\sqrt{36\cdot6}=\sqrt{36}\cdot\sqrt6=6\sqrt6$

$216|2\\108|2\\.\ 54|2\\.\ 27|3\\.\ \ 9|3\\.\ \ 3|3\\.\ \ 1\\\\216=2^2\cdot3^2\cdot2\cdot3\\\\\sqrt{216}=\sqrt{2^2\cdot3^2\cdot2\cdot3}=\sqrt{2^2}\cdot\sqrt{3^2}\cdot\sqrt6=2\cdot3\cdot\sqrt6=6\sqrt6$

5 0

3 years ago

The amounts of electricity bills for all households in a city have a skewed probability distribution with a mean of $139 and a

ZanzabumX [31]

Answer:

P (within $6 of 4) = 0.9164

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

Mean of $139 and a standard deviation of $30.

This means that $\mu = 139, \sigma = 30$

Random sample of 75 households

This means that $n = 75, s = \frac{30}{\sqrt{75}} = 3.464$

75 > 30, which means that the sampling distribution is approximately normal.

Find the probability that the mean amount of electric bills for a random sample of 75 households selected from this city will be within $6 of the population mean.

This is the pvalue of Z when X = 139 + 6 = 145 subtracted by the pvalue of Z when X = 139 - 6 = 133.

X = 145

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$