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3 years ago

Express the ratio below in its simplest form. 1 3 : 1 2

1 answer:

3 0

You can write any ratio as a fraction so 1/3:1/2 can be re-written as $\frac{1/3}{1/2}$ so you need to simplify the complex fraction to find the ratio
$\frac{1}{3} * \frac{2}{1}$ - Invert the denominator and multiply to find the ratio
2/3 - the answer
2:3 - convert back to a ratio

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2. A vine called the mile-a-minute weed is known for growing at a very fast rate. It can grow up to 0.5 ft per day. How fast in

gayaneshka [121]

Answer:

.25 inches per hour

Step-by-step explanation:

.5 ft

-----------

day

We need to get to inches

1 ft = 12 inches

.5 ft 12 inches

----------- * ------------

day 1 ft

We also need to convert days to minutes

1 day = 24 hours

.5 ft 12 inches 1 day

----------- * ------------ * -------------

day 1 ft 24 hours

6 inches

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24 hours

.25 inches per hour

8 0

3 years ago

Read 2 more answers

Construct the confidence interval for the population mean mu. c = 0.90, x = 16.9, s = 9.0, and n = 45. A 90% confidence inte

Georgia [21]

Answer:

The 90% confidence interval for population mean is $14.7 < \mu < 19.1$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 16.9$

The confidence level is $C = 0.90$

The sample size is $n = 45$

The standard deviation

Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as

$\alpha = 1-0.90$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the standardized normal distribution table. The values is $Z_{\frac{\alpha }{2} } = 1.645$

The reason we are obtaining critical values for $\frac{\alpha }{2}$ instead of that of $\alpha$ is because $\alpha$ represents the area under the normal curve where the confidence level 1 - $\alpha$ (90%) did not cover which include both the left and right tail while $\frac{\alpha }{2}$ is just considering the area of one tail which is what we required calculate the margin of error