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xenn [34]
3 years ago
8

While driving on a highway Fiona averages 60 miles per hour .in the city she averages 30miles per hour .on a trip to her grandmo

ther house Fiona drives 3 1/2 hours on the highway and 1 1/2 hours in the city ? What is Fiona's average speed for the entire trip to her grandmothers house ?
Mathematics
1 answer:
satela [25.4K]3 years ago
5 0
Fiona drives 3 1/2 hours on highway = 3.5 hours
average 60 miles per hour on highway.
Then 3.5 * 60 =210 miles 

1 1/2 hours in the city = 1.5 hours
average 30 miles per hour in city
Then 1.5 *30 = 45 miles

So
Fiona drives 210 miles on highway and 45 miles in city.
Total of her trip to her grandmother's house equals: 
210 + 45 = 255 miles

She drives 3.5 on highway and 1.5 in the city, then total driving should be:
3.5 + 1.5 = 5 hours

Average speed for the entire trip: 

255 /5 = 51 miles

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Elena L [17]

Answer:

Option D

Step-by-step explanation:

Going through the choices will help determine which option best simulates the random selection of a voter.

<u>Flip a coin three times, and assign outcomes as follows: HHH, HHT, or HTH = Nava; HTT, THH, or THT = Jensen; TTH = Moretti, TTT = Chang.</u>

Given that it is a random selection of the 4 candidates, it means the probability of choosing either one of them is equivalent. From the option, it can be found that Nava and Jensen have a higher chance of being voted than Moretti and Chang, which would not fit the criteria of being randomly selected.

<u>Roll a number cube, and assign outcomes as follows: 1 or 2 = Nava, 3 or 4 = Jensen, 5 = Moretti, 6 = Chang.</u>

Again, Nava and Jensen have a higher chance of being voted than Moretti and Chang. Therefore, this is not the correct option to simulate random selections of the 4 candidates.

<u>Roll a number cube, and assign outcomes as follows: 1, 2, or 3 = Nava, 4 = Jensen, 5 = Moretti, 6 = Chang.</u>

Nava has a higher chance of being voted, so this option does not fit the stimulation.

<u>Flip a coin twice, and assign outcomes as follows: HH = Nava, HT = Jensen, TH = Moretti, TT = Chang</u>

In this scenario, all 4 candidates have an equal chance of being voted, so this option would best simulate the random selection of a voter from the city.

Hope this helps :)

8 0
3 years ago
Plz help ?!?!?!!?!?!?!??!
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15   Im sure its 15 I re calculated just to be sure

5 0
3 years ago
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g'(x) = \dfrac34 x^{\frac34-1} - 2\cdot\dfrac14 x^{\frac14-1}

g'(x) = \dfrac34 x^{-\frac14} - \dfrac12 x^{-\frac34}

g'(x) = \dfrac14 x^{-\frac34} \left(3 x^{\frac12} - 2\right)

g'(x) = \dfrac{3\sqrt x - 2}{4 x^{\frac34}}

The critical points of g occur where g' is zero or undefined.

We have

g'(x) = 0 \implies 3\sqrt x - 2 = 0 \implies \sqrt x = \dfrac23 \implies \boxed{x = \dfrac49}

and the derivative is undefined for

\dfrac1{g'(x)} = 0 \implies 4x^{\frac34} = 0 \implies \boxed{x=0}

8 0
3 years ago
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