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3 years ago

2.7% is equivalent to what fraction in reduced terms?

Mathematics

1 answer:

prisoha [69]3 years ago

6 0

Answer:

$\frac{27}{1000}$

Step-by-step explanation:

1.) turn the percentage by a decimal equivalent.

2.7%= .027

2.) turn .027 into a fraction

$.027=\frac{27}{1000}$

3.) simplify if needed to, in this case it can't be simplified further.

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Samantha correctly answered 36 out of 48 questions on a test. She must score 70% or greater to pass the test. Did she pass?

lys-0071 [83]

Answer:

Yes

Step-by-step explanation:

You see that you need a percentage. You are given the amount that she got wrong, assuming the questions are weighted the same, you divide 36 by 48. This gives you .75. Then you multiply .75 by 100% giving you 75%.

8 0

3 years ago

Simplify 6x-2x+10x+2x+7x

Artist 52 [7]

The way is see the problem causes the answer to be 27x<span />

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3 years ago

Read 2 more answers

A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The

Oksanka [162]

Answer:

a) $[-0.134,0.034]$

b) We are uncertain

c) It will change significantly

Step-by-step explanation:

a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.

Since we assume that the variances are equal, we use the pooled variance given as

$s_p^2 = \frac{ (n_1 -1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2}$ ,

where $n_1 = 40, n_2 = 30, s_1 = 0.16, s_2 = 0.19$ .

The mean difference $\mu_1 - \mu_2 = 10.85 - 10.90 = -0.05$ .

The confidence interval is

$(\mu_1 - \mu_2) \pm t_{n_1+n_2-2,\alpha/2} \sqrt{\frac{s_p^2}{n_1} + \frac{s_p^2}{n_2}} = (-0.05) \pm t_{68,0.025} \sqrt{\frac{0.03}{40} + \frac{0.03}{30}}$

$= -0.05\pm 1.995 \times 0.042 = -0.05 \pm 0.084 = [-0.134,0.034]$

b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.

c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.

6 0

3 years ago

When analyzing the list of nouns to determine whether to exclude a particular noun as an important "thing," which of the followi

anyanavicka [17]

<h2>Answer:</h2>

<em><u>(a) Is it an output from the system? </u></em>

<em><u>(d) Is it a synonym of an existing thing?</u></em>

<h2>Step-by-step explanation:</h2>

In the question,

We have a list of nouns and we need to determine whether a particular noun should be excluded by identifying particular noun as an important 'thing'.

So, to identify it as a noun we can ask two questions which will distinguish between the same.

<u>(a) Is it an output from the system? </u>

It is one of the questions that can be asked because if the thing is an output from a system it will be definitely existing in real therefore, we can identify from this.

<u>(d) Is it a synonym of an existing thing?</u>

By asking this we can also confirm whether a particular thing is a noun or not because if the thing will be a synonym for an already existing material, it definitely will be a Noun.

<em><u>Therefore, the correct option is (a) and (d).</u></em>

8 0

3 years ago

3/2 x - 5/4 y =15 rate of change

Alenkinab [10]

Answer:

6/5

Step-by-step explanation:

m is your rate of change you need to get y by itself.

3/2x - 15 = 5/4y

3x/2 - 30/2 = 5/4y

3x-30/2 = 5/4y

3x - 30 = 2 x 5/4y

3x - 30 = 2 x 5/4x2y (cross out 2 and 4)

3x - 30 = 5/2y

2 x 3x - 2 x 30 = 2 x 5/4y

6x - 60 = 5y

6x/5 - 60/5 = 5y/5

y = 6/5 x x - 12

3 0

3 years ago