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Bumek [7]
3 years ago
11

As a scuba diver dives deeper and deeper into the ocean, the pressure of the water on his body steadily increases. The pressure

at the surface of the water is 14.7 pounds per square inch (psi). The pressure increases at a rate of 0.445 psi for each foot you descend.

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

Answer:

domain is the values in x axis and the range is the value in y axis

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F(x)=4x^3+3x-2 and g(x)=2x+2 what is the value of f(x)=g(x)?
Arlecino [84]

Answer:

x ≈ 0.916875

Step-by-step explanation:

→ Equate the expressions to each other

4x³ + 3x - 2 = 2x + 2

→ Get all the terms to one side

4x³ + x - 4

→ Solve for x

x ≈  0.916875

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I need help on this....​
krok68 [10]

its a

Step-by-step explanation:

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The table showing the stock price changes for a sample of 12 companies on a day is contained in the Excel file below.
AfilCa [17]

Answer:

(a) The sample variance for the daily price change is 0.2501.

(b) The sample standard deviation for the daily price change is 0.5001.

(c) The 95% confidence interval estimates of the population variance is (0.1255, 0.7210).

Step-by-step explanation:

Let the random variable <em>X</em>  denote the stock price changes for a sample of 12 companies on a day.

The data provided is:

<em>X</em> = {0.82 , 1.44 , -0.07 , 0.41 , 0.21 , 1.33 , 0.97 , 0.30 , 0.14 , 0.12 , 0.42 , 0.15}

(a)

The formula to compute the sample variance for the daily price change is:

s^{2}=\frac{1}{n-1}\sum\limits^{12}_{i=1}{(X_{i}-\bar X)^{2}}

The sample mean is computed using the formula:

\bar X=\frac{1}{n}\sum\limits^{12}_{i=1}{X_{i}}

Consider the Excel output attached below.

In Excel the formula to compute the sample mean and sample variance are:

\bar X =AVERAGE(A2:A13)

s^{2} =VAR.S(A2:A13)

Thus, the sample variance for the daily price change is 0.2501.

(b)

The formula to compute the sample standard deviation for the daily price change is:

s=\sqrt{\frac{1}{n-1}\sum\limits^{12}_{i=1}{(X_{i}-\bar X)^{2}}}

Consider the Excel output attached below.

In Excel the formula to compute the sample standard deviation is:

s =STDEV.S(A2:A13)

Thus, the sample standard deviation for the daily price change is 0.5001.

(c)

The (1 - <em>α</em>)% confidence interval for population variance is:

CI=[\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2} } \leq \sigma^{2}\leq \frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2} } ]

Compute the critical value of Chi-square for <em>α</em> = 0.05 and (n - 1) = (12 - 1) = 11 degrees of freedom as follows:

\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2,11}=21.920

\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{(1-0.05/2),11}=\chi^{2}_{0.975,11}=3.816

*Use a Chi-square table.

Compute the 95% confidence interval estimates of the population variance as follows:

CI=[\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2} } \leq \sigma^{2}\leq \frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2} } ]

     =[\frac{(12-1)\times 0.2501}{21.920 } \leq \sigma^{2}\leq \frac{(12-1)\times 0.2501}{3.816} ]

     =[0.125506\leq \sigma^{2}\leq 0.720938]\\\approx [0.1255, 0.7210]

Thus, the 95% confidence interval estimates of the population variance is (0.1255, 0.7210).

7 0
4 years ago
WILL GIVE A BRAINLIEST IF UR RIGHT!!!
Yuri [45]
Power rule I believe.

w²w³ = w²⁺³ = w⁵
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<span> A simulator that randomly generates a line of 20 plus signs or o’s was run 10 times to analyze data on members who pay for a trainer at a fitness gym. A plus sign represents a member who pay for a personal trainer.</span>
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