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VladimirAG [237]
4 years ago
12

Jeffrey is an eight-year-old, who used to believe that his meantime for swimming the 25-yard freestyle was 16.43 seconds. Jeffre

y’s dad, Frank, thought that Jeffrey could swim the 25-yard freestyle faster using goggles. Frank bought Jeffrey a new pair of expensive goggles and timed Jeffrey for 15- 25-yard freestyle swims. For the 15 swims, Jeffrey's meantime was 16 seconds. Frank thought that the goggles helped Jeffrey to swim faster than the 16.43 seconds. Conduct a hypothesis test using a preset-0.05.

Mathematics
1 answer:
Allushta [10]4 years ago
5 0

Answer:

Explanation is given in the following attachments

Step-by-step explanation:

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Use L’Hospital’s Rule to evaluate the following limit.
Serga [27]

Answer:

3

Step-by-step explanation:

lim(t→∞) [t ln(1 + 3/t) ]

If we evaluate the limit, we get:

∞ ln(1 + 3/∞)

∞ ln(1 + 0)

∞ 0

This is undetermined.  To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.

lim(t→∞) [t ln(1 + 3/t) ]

lim(t→∞) [ln(1 + 3/t) / (1/t)]

This evaluates to 0/0.  We can simplify a little with u substitution:

lim(u→0) [ln(1 + 3u) / u]

Applying L'Hopital's rule:

lim(u→0) [1/(1 + 3u) × 3 / 1]

lim(u→0) [3 / (1 + 3u)]

3 / (1 + 0)

3

4 0
3 years ago
24 Please help!!??!!!??
Dominik [7]
You can find the area of the entire shape by finding the area of one of the split shapes individually

Formula for Square Area:
Length*Width
6*6=36
The area of the square is 36 in squared

Formula for Right Triangle Area:
Leg A*Leg B/2 (The lines which form the Right Angle)
6*6/2
36/2=18
The area of the right triangle is 18 in squared

Formula for the Equilateral Triangle Area: 
Base * Height/2
6*6/2
36/2=18
The area of the equilateral triangle is 18 in squared

Now add all the sums up
36+18+18
=72

The total area of the shape is 72 in squared

Hope this helps!

7 0
3 years ago
The axis of symmerty for the graph of the function f(x) = 1/4x^2 + bc +10 is x=6 what is the value of b
zysi [14]

Completing the square gives

\dfrac14x^2+bx+10=\dfrac14(x^2+4bx+40)=\dfrac14(x^2+4bx+4b^2+40-4b^2)

\implies\dfrac14x^2+bx+10=\dfrac14(x+2b)^2+10-b^2

At the point on the graph along the axis of symmetry, the squared term vanishes, so that when x=6, we have x+2b=0. So

6+2b=0\implies 2b=-6\implies\boxed{b=-3}

5 0
3 years ago
Dave and LaVontae are saving money. Dave has $10, and LaVontae has $5. Write an
Marina CMI [18]
X < y is the answer to this question
3 0
2 years ago
(40 points) Manuel and Jerry are trying to find the value of the expressions (5+7)2. Jerry plans to first square 5,then square 7
Vlada [557]
Manual is correct due to 5^2 and 7^2 being 74 in total while 5+7 is 12 being squared gives you 144 which is the correct answer.
6 0
3 years ago
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