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3 years ago

There are 8 knives and 12 forks in a package of plastic utensils. Which ratio is equivelent to 8/12?

Mathematics

1 answer:

djyliett [7]3 years ago

5 0

Answer:

$\frac{2}{3}$

Step-by-step explanation:

If you divide $\frac{8}{12}$ by 4 (both numerator and denominator)

You get $\frac{2}{3}$ which is equivalent to the given ration

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Consider the function f(x) = 20/√x and its second-degree polynomial P2 (x) = 20 - 10(x-1) + 7.5(x-1)^2 at x=0.8. Compute the val

krok68 [10]

Answer:

$f (0.8) = 22.3607$ and $P_{2} (0.8) = 22.300$ .

Step-by-step explanation:

According to the statement, $f (x) = \frac{20}{\sqrt{x}}$ and $P_{2}(x) = 20 - 10 (x-1) + 7.5 (x-1) ^ 2$ . Based on these definitions, at $x=0.8$ produce:

$f (0.8) = \frac{20}{\sqrt {0.8}} = 22.3607$ . On the other hand, you have to:

$P_{2} (0.8) = 20 - 10 (0.8 -1) +7.5 (0.8 -1)^2$

$P_{2} (0.8) = 20 - 10 (-0.2) +7.5 (-0.2)^2 = 22.300$

Then, it can be affirmed that $f (0.8) = 22.3607$ and $P_{2} (0.8) = 22.300$ .

3 0

3 years ago

How do u do this.I need major help on it

Tpy6a [65]

Look for what 'y' is when t = 1 and t = 2. Go to the graph, look at 1 on the bottom axis and go up till you find the point, then go all the way to the left to see what the y-value is, in this case it should be 1200. If you do the same with t = 2, you will get 2400. So our two ordered pairs are:

(1, 1200), (2, 2400)

We can find the slope of these two points by plugging them into the slope formula:

$\sf m=\dfrac{y_2-y_1}{x_2-x_1}$

For points in the form of (x1, y1), (x2, y2). Plug in what we know:

$\sf m=\dfrac{2400-1200}{2-1}$

Subtract:

$\sf m=\dfrac{1200}{1}$

Divide:

$\sf m=1200$

This is the slope, so we can write the equation:

$\boxed{\sf y=1200t}$

4 0

3 years ago

50 POINTS! Is the relationship shown by the data linear? If so, model the data with an equation.

vlada-n [284]

Answer:

The relationship is not linear.

Step-by-step explanation:

3 0

3 years ago

Can someone help me on this play

djyliett [7]

Answer: 2 1/2 1 1/6 2 2/5

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Of 585 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared

Dafna1 [17]

Answer:

a) The 99% confidence interval is from 14.8% to 23.2%.

b) The confidence interval tells us that the true proportion of mislabeled is within 14.8% and 23.2%, with a 99% confidence. In other words, if we take samples of the same size, 99% of the samples will have a proportion within 0.148 and 0.232.

c) The confidence interval calculation take into account the sample size, so the width (or precision) of the interval depends on the sample size.

The only criticism that could be analyzed is to see if the sample is representative of the population.

Step-by-step explanation:

a) We have to calculate a 99% confidence interval for the proportion.

The sample proportion is p=0.19.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.19*0.81}{585}}\\\\\\ \sigma_p=\sqrt{0.000263}=0.016$

The critical z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=2.576 \cdot 0.02=0.042$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.19-0.042=0.148\\\\UL=p+z \cdot \sigma_p = 0.19+0.042=0.232$

The 99% confidence interval for the population proportion is (0.148, 0.232).

5 0

3 years ago