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3 years ago

How complex fractions can be used with ratios

1 answer:

3 0

Complex fractions are numbers in which the numerator and the denominator are both fractions. in this case, to solve the ratio, we can multiply the numerator fraction by the reciprocal of the denominator fraction. Another way is to solve the fraction separately and then divide eventually.

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2(x+1)=3x <br><br> can you show the steps to get the answer as well please

monitta

Answer:

x = 2

Step-by-step explanation:

2(x+1)=3x

2x+2=3x

2x - 3x=-2

-x=-2

8 0

3 years ago

Read 2 more answers

The life of a manufacturer's compact fluorescent light bulbs is normal, with mean 12,000 hours and standard deviation 2,000 hour

vitfil [10]

Z value is a numerical measurement that describe a value relationship to the mean of a group of values. The standard deviations is 1.25 above the mean is 14,500 hours.

<h3>Given information-</h3>

The mean for the bulb is 12,000 hours.

The standard deviation for the bulb is 2000 hours.

Sample value is 14500.

To find out the how many standard deviation is 14500 mean away from the mean the z value of the mean should be calculated.

<h3>Z value</h3>

Z value is a numerical measurement that describe a value relationship to the mean of a group of values. Z value is the ratio of the difference of the sample value $x$ and mean $\mu$ to the standard deviation. Thus the z value for the given mean $\sigma$ is,

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

$z=\dfrac{14500-1200}{2000}$

$z=1.25$

Thus the standard deviations is 1.25 above the mean is 14,500 hours.

Learn more about the z value here;

brainly.com/question/62233

4 0

3 years ago

Draw the two-dimensional shape<br> that makes up the faces of this<br> solid shape.

Art [367]

Answer:

like this?

Step-by-step explanation:

5 0

3 years ago

When Riley goes bowling, her scores are normally distributed with a mean of 160 and

e-lub [12.9K]

Answer:

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 160, standard deviation of 13.

Middle 68% of the scores of all the games that Riley bowls.

Within 1 standard deviation of the mean, so:

160 - 13 = 147.

160 + 13 = 173.

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

6 0

3 years ago

The following are score earned by 15 college students on a 20-point math quiz. (a) calculate the mean, median, and mode scores.

Softa [21]

Answer:

(a) 12.87; 14; 18; (b) median

Step-by-step explanation:

(a) Statistics

(i) Mean

The mean is the sum of all the data points divided by the number of points.

$\begin{array}{rcl}\text{Mean} & = & \dfrac{0 + 2 + 3 + 12 + 12 + 13 + 14 + 14 + 15 + 15 + 18 + 18 + 18 + 19 + 20}{15}\\\\& = & \dfrac{193}{15}\\\\& = & \mathbf{12.87}\\\end{array}$

(ii) Median

The median is the middle value in your list of observations.

0, 2, 3, 12, 12, 13, 14, 14, 15, 15, 18, 18, 18, 19, 20

Median = 14

(iii) Mode

The mode is the value that appears most often in your list of observations.

0, 2, 3, 12, 12, 13, 14, 14, 15, 15, 18, 18, 18, 19, 20

Mode = 18

(b) Most representative measure

The mean is dragged down by three low values. The median is the measure that is most representative of the data.

The histogram below shows the distribution of your data.

8 0

3 years ago