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4 years ago

The triangles below are similar. Find the value of each variable

Mathematics

1 answer:

aleksklad [387]4 years ago

4 0

Answer:

Step-by-step explanation:

$\frac{2x+6}{x+6} =\frac{10}{8}\\cross multiply\\16x+48=10x+60\\16x-10x=60-48\\6x=12\\x=2$

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Someone help me with multiplying and dividing with scientific notation

lord [1]

when multiplying scientific notation all you' do is move the decimal whatever times the exponent says or the little number on the 10. Move it to the right when its positive and when its negative move it to the left . I hope that helped :)

8 0

3 years ago

In the study of pesticide use and breast cancer, researchers evaluated pesticide use during the entire life of the respondents.

Doss [256]

Answer:

Kindly check explanation

Step-by-step explanation:

A common problem with most research designs is bias, which could be introduced win several ways one if which is the favored selection of certain variables rather than being randomized. In the scenario above, the sampling time frame introduces a bias into the design as the tune span of pesticide use does not allay with that of the exposure history of the respondent. Therefore an entire lifetime evaluation of one variable and just 20 years evaluation of the other introduces a sampling bias into the research design. Similarly, evaluation the type of pesticide usage over certain time period may need to be considered as the effect of very old pesticides may differ from those used very recently.

4 0

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

Write the inequality given in the diagram below

dezoksy [38]

Step-by-step explanation:

it's either 3 or 2 probably

7 0

2 years ago

-8(.25x +2) What's the answer?

jeyben [28]

Answer: = -2x-16