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3 years ago

|(1/4-1/5)+(-3/4+1/8)|

Mathematics

2 answers:

Kruka [31]3 years ago

8 0

Answer:

Simplify the expression.

Exact Form:

37/40

Decimal Form:

0.925

Step-by-step explanation:

boyakko [2]3 years ago

3 0

Answer:

23/40 = 0.575

Step-by-step explanation:

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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 - <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).

6 0

2 years ago

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable

Slav-nsk [51]

Answer:

a) Discrete Variable

b) Continuous Variable

Step-by-step explanation:

We are given the following in the question:

Discrete and Continuous:

Discrete data are the data whose value can be expressed in whole number. They cannot take all the values within an interval.
Discrete variables are usually counted than measured.
Continuous variable can be expressed in the form of decimals. They can take any value within an interval.
Continuous variables are usually measured than counted.

(a) The number of free dash throw attempts before the first shot is made.

Since the number of shots made will always be expressed in whole numbers and the number of shots made will counted and not measured. Thus, number of free dash throw attempts before the first shot is made. is a discrete variable.

(b) The distance a baseball travels in the air after being hit.

The distance is a continuous variable as its value can be expressed in decimals. Also distance is always measured and not counted. Thus, distance a baseball travels in the air after being hit is a continuous variable.

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3 years ago

Which number line shows the solution to the inequality -3x - 5 < -2 ?

Inessa05 [86]

The answer to his is A

3 0

2 years ago

A human hair was measured to be 8.0×10−48.0×10-4 inch thick. A cat hair was measured to be 4.0×10−14.0×10-1 inch thick. How much

deff fn [24]

I think it's 5.9 km not sure

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2 years ago