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2 years ago

A bottle contains 2 L 95 mL water. Express the amount of water in litres.

Mathematics

1 answer:

Lunna [17]2 years ago

6 0

Answer:

2.095

Step-by-step explanation:

2 litres= 2000ml

2000+95 ml = 2095ml

Now in litres:

2095/1000= 2.095 litres

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Trever Goetz is a salesperson who is paid a monthly salary of $500 plus a 2% commission on sales. How much must he sell to earn

dedylja [7]

Whatever% of anything is just (whatever/100) * anything.

now, we know Trever makes $500 in salary and 2% on sales, let's say he sells "x" amount, how much is 2% of x? well (2/100) * x, or 0.02x.

Therefore Trever's earnings are 500 + 0.02x, his salary plus his commission.

to earn a total of 2,000, then 500 + 0.02x = 2000, thus

$\bf 500+0.02x=2000\implies 0.02x=1500\implies x=\cfrac{1500}{0.02}\\\\\\ x=75000$

4 0

3 years ago

A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found

irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

$H_0: p = 0.04$

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

$H_a: p > 0.04$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

4% is tested at the null hypothesis

This means that $\mu = 0.04, \sigma = \sqrt{0.04*0.96}$

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that $n = 20, X = 0.1$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}$

$z = 1.37$

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

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2 years ago

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How pure is 16-karat gold?

natta225 [31]

Answer:

here

Step-by-step explanation:

16 karat gold is 16 parts gold to 8 parts other material for a pure gold percentage of 67%.

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2 years ago

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Suppose that the batting averages or AVG (hits per at-bat) of all players in the AAA baseball league are normally distributed wi

bulgar [2K]

Answer:

0.1

Step-by-step explanation:

Solving using empirical rule formula

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Hence, the lower bound 95% =

μ - 2σ

Mean = 0.2

Standard deviation of 0.05

= μ - 2σ

= 0.2 - 2(0.05)

= 0.2 - 0.1

= 0.1

The lower bound is 0.1

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2 years ago

Plz help me<br> 20 points

wel

Answer:

Step-by-step explanation:

Hope this helps! Pls give brainliest!

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2 years ago

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