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2 years ago

Simple: get the Equation

Mathematics

1 answer:

ivanzaharov [21]2 years ago

7 0

Answer:

y=10x+10

Step-by-step explanation:

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The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev

Vladimir [108]

Answer:

Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.

Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 30.05 inches

$\sigma$ = standard deviation = 0.2 inches

n = sample of sheets = 4

So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)

P(30.25 inches < X bar < 30.35 inches) = P(X bar < 30.35) - P(X bar <= 30.25)

P(X bar < 30.35) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{30.35-30.05}{\frac{0.2}{\sqrt{4} } }$ ) = P(Z < 3) = 0.99865

P(X bar <= 30.25) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ <= $\frac{30.25-30.05}{\frac{0.2}{\sqrt{4} } }$ ) = P(Z <= 2) = 0.97725

Therefore, P(30.25 inches < X bar < 30.35 inches) = 0.99865 - 0.97725

= 0.0214

7 0

3 years ago

The data from 200 endothermic reactions involving sodium bicarbonate are summarized as follows: calculate the probability mass f

In-s [12.5K]

Given the table below which contains data from 200 endothemic reactions involving <span>sodium bicarbonate:

$\begin{tabular}
{|c|c|}
Final Temperature Conditions&Number of Reactions\\[1ex]
266 K&48\\
271 K&60\\
274 K&92
\end{tabular}$

We find the probability distribution function as follows:

Let X denote the final temperature, then
</span>
<span> $P(X = 266) = \frac{48}{200} =0.24\\ \\ P(X = 271) = \frac{60}{200} =0.3\\ \\ P(X = 274) = \frac{92}{200} =0.46$ </span>

8 0

3 years ago

Evaluate 6x + 11 when x = 7

nlexa [21]

Answer:

Step-by-step explanation:

To evaluate 6x + 11, we must substitute the value of x.

Since we know that x = 7, it is easier to evaluate the expression;

6x + 11

6(7) + 11

Since 6 is outside the parenthesis, we must multiply everything inside the parenthesis by 6;

6(7) + 11

42 + 11

When you add the two numbers you get:

4 0

3 years ago

You buy a 1:1000 scale model of the Statue of Liberty during a trip to New York City. The height of the model is 9.3 centimeters

zalisa [80]

=9.3×1000
=9300cm
=9300÷100
=93m

5 0

3 years ago

Sisqo score 10 points in the first half of the game. In the second half he made four shots, all three pointers. Which of the fol

olga_2 [115]

Answer:

You didn't provided the answer choices, but the answer is he scored 22 points in total.

Step-by-step explanation:

5 0

3 years ago