Compare the ratio of the longest side being 14 1/2 to shortest side 1 1/4 and turn it into a simplified fraction

1 answer:

4 0

(14 1/2)/(1 1/4) change both to improper fractions

(29/2)/(5/4) invert second function (or the denominator fraction) and multiply.

(29/2)*(4/5) multiply...

58/5 change improper fraction back to mixed fraction

11 3/5 or a decimal 11.6

You might be interested in

Adjacent, right angles are complementary. always sometimes never

Harrizon [31]

B. sometimes
is the right answer
 Any two angles which add up to 90 degrees are complementary.

8 0

3 years ago

Read 2 more answers

The sandwich shop offers combo meals with a choice of one sandwich, one side, and one drink. On total there are 560 combos avail

Leto [7]

There are 7 sides available.

The fundamental counting principal tells us to find the total number of combinations of independent items, multiply the number of choices from each one (choices x choices x....)

This means that drink x sides x sandwiches = 560. We know there are 16 sandwiches and 5 drinks. Let S be the number of sides:
15(6)(S) = 560
80S = 560

Divide both sides by 80:
80S = 560/80
S = 7

6 0

3 years ago

A research study investigated differences between male and female students. Based on the study results, we can assume the popula

garri49 [273]

Using the normal distribution and the central limit theorem, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is of $\mu = 3.5$ .

The standard deviation is of $\sigma = 0.5$ .

Sample of 100, hence $n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05$

The interval that contains 95.44% of the sample means for male students is between Z = -2 and Z = 2, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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