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Allisa [31]
3 years ago
5

Jason jogged 2/3 mile in 1/3 hour. What was his speed in miles per hour?

Mathematics
1 answer:
fenix001 [56]3 years ago
7 0

Answer:

I honestly was having the worst time trying to solve this sorry :(, for real idk if any of these are right

i got 2 answers; 1st: ≈0.5 mph

the 2nd; 2 mph

Step-by-step explanation:

Speed = \frac{Distance}{Time}

2/3 miles = 3520 feet

1/3 hours = 20 minutes

------Make a proportion-----

\frac{3520ft}{20min} = \frac{1 mi=5280 ft}{1hr = 60min}

cross multiply------

3520 * 60 = 211200

5280 * 20 = 105600

Divide \frac{211200}{105600}= 2

---(this is where i got confused cuz 2 doesn't make any sense)--

If you flip them, \frac{105600}{211200}=0.5 which makes more sense

hope i helped :(

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The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the
Ksivusya [100]

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

5 0
3 years ago
Find two numbers that have a sum of -2 and a product of -48 (please show work if possible)​
andreev551 [17]

Answer: -8 and 6

Step-by-step explanation:

factors of 48: 1,2,4,6,8,12,24,48

1 x 48

2 x 24

4 x 12

6 x 8

for a negative product, one of the factors must be negative and the other positive.

for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.

and then we check:

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A plumber charges $70 per hour plus $40 for the call what does he charge for 4 hours of work
docker41 [41]
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3 years ago
F(t)=t^2+19t+60<br> What are the zeros of the function and what is the vertex of the parabola?
SVEN [57.7K]

Answer: -4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)

Step-by-step explanation:

Given

Function is F(t)=t^2+19+60

Zeroes of the function are

t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15

Using completing the square method

y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)

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3 years ago
Find the perimeter URGENT!
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brainly.com/question/19084990

Step-by-step explanation:

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