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Rzqust [24]
2 years ago
12

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}&#10;{|c|c|}&#10;Final Temperature Conditions&Number of Reactions\\[1ex]&#10;266 K&48\\&#10;271 K&60\\&#10;274 K&92&#10;\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:

53

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:

53

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
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