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harina [27]
4 years ago
10

Mr Patel is planning to drive 325 miles. He will stop one hour for lunch and take a 15 min rest break.

Mathematics
1 answer:
mr_godi [17]4 years ago
8 0

Option D

The trip lasts for 6\frac{1}{4}\ hours

<em><u>Solution:</u></em>

<em><u>Mr Patel is planning to drive 325 miles</u></em>

Average speed is 65 mph

He will stop one hour for lunch and take a 15 min rest break

Let us first find the time taken

Time = \frac{distance}{speed}

Time = \frac{325}{65}\\\\Time = 5

Thus he covers 325 miles in 5 hours

Also, given that, he will stop one hour for lunch and take a 15 min rest break

<em><u>Therefore, total time taken for trip is:</u></em>

Total time = 5 hours + 1 hour + 15 minutes

Total time = 6 hours 15 minutes

We know that,

1 hour = 60 minutes

Therefore,

6\ hours\ 15\ minutes\ = 6 + \frac{15}{60}\ hours = 6 + \frac{1}{4} = 6\frac{1}{4}\ hours

Thus the trip lasts for 6\frac{1}{4}\ hours

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Original Price = $42
Discount = 25%   ---------> 25% is discount because it says 25% <span><u />off!!!</span>
Now,
Sale price = original price - discount % of original price  
                 = 42 - 25% of 42 
                 = 42 - (25/100) * 42   
                 = 42 - 0.25 * 42 
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So, the sale price is $31.5
6 0
4 years ago
Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µd =
ahrayia [7]

Answer:

d: 2, 4, -6, 0, -1, -5, 0, 1

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{29}{8}=-0.625

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =3.378

The next step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.625 -0}{\frac{3.378}{\sqrt{8}}}=-0.523

And the correct option would be:

a. t = -0.523

Step-by-step explanation:

We assume the following notation:

x=test value after , y = test value before

x: 34 39 28 33 27 23 35 33

y: 32 35 34 33 28 28 35 32

The system of hypothesis for this case is given by:

Null hypothesis: \mu_y- \mu_x = 0

Alternative hypothesis: \mu_y -\mu_x \neq 0

The first step is calculate the difference d_i=y_i-x_i and we obtain this:

d: 2, 4, -6, 0, -1, -5, 0, 1

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{29}{8}=-0.625

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =3.378

The next step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.625 -0}{\frac{3.378}{\sqrt{8}}}=-0.523

And the correct option would be:

a. t = -0.523

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Is it possible to have triangle with 3 cm 6 cm and 7 cm sides if yes then​
VLD [36.1K]

Answer:

No

Step-by-step explanation:

4 0
3 years ago
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Vladimir79 [104]

You can use the equation of the circle with center at (h,k) and the radius of f units.

The correct option for the given condition is

Option C: (x-4)^2 + (y-5)^2 = 4\\

<h3>What is the equation of the circle with the center at (h,k) and radius of r units?</h3>

If a circle has center at (h,k) and radius is of r units, then its equation is given as

(x-h)^2 + (y-k)^2 = r^2

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Since the graphed circle has center at x = 4 and y = 5, thus we have

(h,k) = (x coordinate of center, y coordinate of center ) = (4,5)

And since the radius of the needed circle is needed to be of 2 units, thus,

r = 2 units

Using the above specified  formula, we get the equation of the needed circle as

(x-h)^2 + (y-k)^2 = r^2\\(x-4)^2 + (y-5)^2 = 2^2 = 4\\\\(x-4)^2 + (y-5)^2 = 4\\

Thus,

The correct option for the given condition is

Option C: (x-4)^2 + (y-5)^2 = 4\\

Learn more about equation of circles here:

brainly.com/question/15848342

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