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3 years ago

42/4 as a improper fraction

2 answers:

3 0

**CORRECTION** 21/2 because when you simplify it (dividing the top and the bottom by 2) you get 21/2. My first asnwer was a mixed number

Natasha2012 [34]3 years ago

3 0

To figure this out, we need to look for how many times 4 can go into 42.

4*10=40

Later, we have a remainder of 2 because 42-40=2

We write 10 as the whole number and 2 on the numerator.

10 2/4 = 10 1/2

Final answer: 10 1/2 is the mixed number, but the improper fraction simplified is 21/2

Improper fraction: 21/2
Mixed number: 10 1/2

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Is the relation a function?

mario62 [17]

Yes it is because none of the x are the same number making it a function.

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3 years ago

Help please .............................

Rufina [12.5K]

Answer:I think its the second one

Step-by-step explanation:

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2 years ago

A vegetable garden is 12 meters long by 7 meters wide. In one square meter, you count two toads. Estimate the population of toad

zavuch27 [327]

Answer: 168 toads

Step-by-step explanation:

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Area = 12m x 7m = 84 m²

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3 years ago

I really need help with this

ValentinkaMS [17]

Answer:

y = -2x + 4

Step-by-step explanation:

The line intercepts at the y axis at 4. And you go to units down then one unit right to get to the next point.

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3 years ago

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption for microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

σ = population standard deviation = 15 W

n = sample of microwave ovens = 20

So, the test statistics = $\frac{257.3-250}{\frac{15}{\sqrt{20} } }$

= 2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0

3 years ago