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2 years ago

What are the central ideas of this excerpt? Select two options.

Mathematics

1 answer:

AlladinOne [14]2 years ago

3 0

Answer:

this is your name

Step-by-step explanation:

The two central ideas in the given excerpt are the Antony only wants to bury Caesar, and that the mistakes men make are remembered after their deaths, while their merits die with them.

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Ten college students were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 a

solong [7]

Answer:

The 95% confidence interval for the true slope is (0.03985, 0.14206).

Step-by-step explanation:

For the regression equation:

$\hat y=\alpha +\hat \beta x$

The (1 - α)% confidence interval for the regression coefficient or slope $(\hat \beta )$ is:

$Ci=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )$

The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:

$\hat Y=3.584756+0.090953 X$

The summary of the regression analysis is:

Predictor Coefficient SE t-stat p-value

Constant 3.584756 0.078183 45.85075 5.66 x 10⁻¹¹

Entering GPA 0.090953 0.022162 4.103932 0.003419

The regression coefficient and standard error are:

$\hat \beta = 0.090953\\SE (\hat \beta)=0.022162$

The critical value of t for 95% confidence level and 8 degrees of freedom is:

$t_{\alpha/2, n-2}=t_{0.05/2, 10-2}=t_{0.025, 8}=2.306$

Compute the 95% confidence interval for $(\hat \beta )$ as follows:

$CI=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )\\=0.090953\pm 2.306\times 0.022162\\=0.090953\pm 0.051105572\\=(0.039847428, 0.142058572)\\\approx (0.03985, 0.14206)$

Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).

6 0

2 years ago

I need urgent help!!

RSB [31]

Answer: I don’t actually know sorry

Step-by-step explanation:

6 0

2 years ago

If sin theta = -1/2 and lies in the third quadrant, what is the cos?

never [62]

Sin angle that equals the 1/2 value is the 30 degree on the 1st Quadrant.

The angle of 30 degree on the 3rd Quadrant is equivalent to (formula and circle in the 1st photo) 180 + 30 = 210°.

So theta = 210° (3rd Quadrant) = 30° (1st Quadrant).

$cos \: 30\degree = \sqrt{3} \div 2$

Now just transfer the cos 30° to the 3rd Quadrant and the signal will be negative (as shown in the 2nd photo attached).

$cos \: 210 \degree = - \sqrt{3} \div 2$

5 0

3 years ago

-(-3,-2) and (1,6); m = 2 Plz help me

tensa zangetsu [6.8K]

−

, (

)

Find the value of b

using the formula for the equation of a line.

Now that the values of

m (slope) and b

(y-intercept) are known, substitute them into

b to find the equation of the line. y

−

5 0

3 years ago

Population lottery numbers: 56, 42, 19, 8, 24, 13 find the total number of samples of size 4 that can be drawn from this populat

statuscvo [17]

Answer:

The correct answer is there are 15 samples each of size 4 to choose from the population and the population mean is 27.

Step-by-step explanation:

Total number of lottery tickets = 6

Number of samples of size 4 that can be drawn from this population of 6 lottery numbers are = $\left[\begin{array}{ccc}6\\4\end{array}\right]$ = 15.

Now the population mean is given by $\frac{1}{n}$ × ∑ x , where n is the number of lottery tickets and ∑ x is the sum of the lottery numbers.

Summation of the lottery ticket numbers is 162

Thus the population mean is given by $\frac{162}{6}$ = 27.

8 0

2 years ago