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3 years ago

Answer for brainliest

Mathematics

1 answer:

dmitriy555 [2]3 years ago

7 0

Answer:

average rate of change is 3/2

Step-by-step explanation:

Recall that the average rate of change in an interval [x1, x2], is defined as:

[f(x2)-f(x1)] / (x2 - x1)

which for the interval [0, 2] becomes:

[f(2)-f(0)] / (2 - 0)

From the graph we read that f(0)= 1 and f(2) = 4, therefore:

[f(2)-f(0)] / (2 - 0) = [4 - 1] / 2 = 3/2

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Charra [1.4K]

Just like 2 squared = 4, the square root of 2 multiplied by itself will result in a product of 2. Squaring a number always means multiplying that number by the same number.

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3 years ago

An adjustable ladder on the back of the firetruck is needed for firefighters to climb to very high buildings. The maximum angle

torisob [31]

Cos 70 = horizontal distance /
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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.

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3 years ago

Carl King is a toy assembler. He is paid $5.25 for every toy he assembles. What is Carl's total pay for a week in which he compl

sineoko [7]

Multiplication was invented to help you avoid the tedium of adding ...

... $5.25 + 5.25 + 5.25 + ... + 5.25 . . . . . a total of 207 terms

It lets us figure such a sum by computing 207 × $5.25 = $1,086.75

Carl's pay for the week will be $1086.75.

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3 years ago

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(5x2−3x−2)−(−2x2−x+10) in standard form please?

Andreyy89

Answer:

7x^2−2x−12

Step-by-step explanation:

hope this helps:)

5 0

3 years ago