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3 years ago

Rename 3/10 and 2/3 using the least common denominator.

Mathematics

1 answer:

Charra [1.4K]3 years ago

6 0

Answer:

LCD = 30

3/10 = 9/30

2/3 = 20/30

Step-by-step explanation:

This is the answer because:

1) First, the least common denominator is 30 because 10 x 3 is 30 and 3 x 10 is 30

2) Next, multiply the numerators with the same number you multiplied with the denominator

3 x 3 = 9

2 x 10 = 20

3) Therefore, the answers are:

3/10 = 9/30

2/3 = 20/30

Hope this helps!

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the sales tax rate in a city is 8%. Find the sales tax charged on a purchase of $800. Then find the total cost.

Svetradugi [14.3K]

64 dollars is the tax, the total cost would be $864.
Use this for percentages.
https://percentagecalculator.net/

7 0

3 years ago

A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than

vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

$H_0: p \leq 0.05$

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

$H_a: p > 0.05$

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.

0.05 is tested at the null hypothesis:

This means that $\mu = 0.05, \sigma = \sqrt{0.05*0.95}$

A random sample of 300 items taken from the production line contained 27 defective items.

This means that $n = 300, X = \frac{27}{300} = 0.09$

Value of the test statistic:

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

$z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}$

$z = 3.18$

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

5 0

3 years ago

Show how to use the distributive property to simplify 4(5+x)

nalin [4]

Answer:

20+4x

Step-by-step explanation:

Distributive property is quite easy to learn... its just multiplication in an easier form to visualize once you're used to using it.

To first start this problem you want to use the number 4 in the expression 4(5+x). You then want to multiply 4 by both terms inside of the parentheses. So you would do both 4*5 and 4*x. You would then get 20+4x because 4*5=20 and 4*x is just put together as 4x.

7 0

4 years ago

Read 2 more answers

From a cruising depth of 75 m below sea level (BSL) the Nautilus descended to 105 m BSL and then rose to 80 m BSL. What is the t

sattari [20]

Im not sure of the answer but try quizlet

3 0

4 years ago

Your beginning balance on your lunch account is $42. You buy lunch for $1.80 every day and sometimes buy a snack for $0.85. Afte

tangare [24]

Answer:

The answer to your question is: I bought 7 snacks

Step-by-step explanation:

Data

beginning balance = $42 = b

lunch = $1.80 = l

snack = $ 0.85 = s

final balance = $0.05 = f

f = b - 1.8l - 0.05s

0.05 = 42 - 1.8l - 0.85s

After 20 days I spent = 1.8(20) in lunches = $36

0.05 = 42 - 36 - 0.85s

0.05 = 6 - 0.85s

0.05 - 6 = -0.85s

-5.95 = -0.85s

s = -5.95/-0.85

s = 7

4 0

3 years ago