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3 years ago

The lengths of the sides of a triangle are 11.25 inches, 9.25 inches, and 10.25 inches. What is the perimeter of the triangle?

Mathematics

1 answer:

solong [7]3 years ago

8 0

Perimeter of the triangle is 30.75 inches.

Step-by-step explanation:

Step 1: Given sides of the triangle = 11.25 in, 9.25 in, 10.25 in

Step 2: Formula for perimeter of triangle = length of sides of the triangle
Step 3: Substitute in the formula

Perimeter = 11.25 + 9.25 + 10.25

= 30.75 inches

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A Basketball Tournament starts with 128 Teams.in each round half of the teams are eliminated How Many teams remain after 5 round

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2 years ago

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2 years ago

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 - <em>α</em>)% 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 <em>t</em> 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).

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