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kumpel [21]
2 years ago
6

An empty water basin is being filled from the cold water faucet at the rate of 2 gallons per minute, but the water is flowing ou

t from the drain at the rate of 34 gallons per minute. Find the average rate of change of water in the basin. Select one: a. 234 gallons per minute b. 114 gallons per minute c. 34 gallons per minute d. 334 gallons per minute
Mathematics
1 answer:
blsea [12.9K]2 years ago
3 0

Answer:

Find the average rate of change of water in the basin. Select one: a. 234 gallons per minute b. 114 gallons per minute c. 34 gallons per minute

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Step-by-step explanation:

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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).

6 0
2 years ago
Given the function f(x)=x2+2x+1, find:<br><br> f( (2a−3)/5 ) =<br><br> Show working please!
Rina8888 [55]
<h3>Given</h3>
  • f(x) = x² + 2x + 1
<h3>Find</h3>
  • f((2a-3)/5)
<h3>Solution</h3>

It can be convenient to rewrite f(x) as a square, then do the substitution. That way, the algebra is simplified a little bit.

... f(x) = (x +1)²

... f((2a-3)/5) = ((2a-3)/5 +1)² = ((2a -3 +5)/5)²

... = (2/5(a+1))²

... f((2a-3)/5) = (4/25)(a² +2a +1)

7 0
3 years ago
We need help . we think we got it but were not sure ​
maria [59]

Answer:

your right

Step-by-step explanation:

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3 years ago
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I really need the help please and thank you
eimsori [14]

Asnwer: C

-------------------------------------

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3 years ago
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