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sdas [7]
2 years ago
9

Mr. Nero drives to work each day 35 miles one way. If he were in a hurry, could he legally make it to work in less than a half h

our with the legal speed limit set to 65 MPH? Reference the formula, d = rt, when explaining the answer.
Mathematics
1 answer:
snow_lady [41]2 years ago
8 0

Answer:

Nope.  It would take 32 and 4/13 minutes, which is longer than 30 min.

Step-by-step explanation:

The distance is 35 miles and the speed 65 miles/hour

Dividie the distance by the speed to obtian the time required,

(35 miles)/(65 miles/hour) = 0.538 hours

No, 35 miles at the speed limit of 65 mph would require 0.538 hours, 0.038 hours more than 1/2 hour.  2 and 4/13 minutes more than 30 minutes.

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Easy points ^^
Shkiper50 [21]

Step-by-step explanation:

x = Alice's money

y = Mio's money

z = Grace's money

x + y + z = sum

there are originality 5+4+3 = 12 parts of the money shared between them.

x = 5/12 sum

y = 4/12 sum

z = 3/12 sum

after the money transfer we are only having 4+3+2 = 9 parts of the same money distributed.

so, we are dealing with 1/9 parts.

let's bring everything to 1/36 to be able to truly compare things.

therefore

x = 15/36 sum

y = 12/36 sum

z = 9/36 sum

15/36 sum + 10 = 16/36 sum

because 4/9 = 16/36

10 = 1/36 sum

sum = 10×36 = £360

so, together they have £360.

and they had before the £10 transfer £150, £120, £90.

after the £10 transfer they had £160, £120, £80.

5 0
3 years ago
There are 169 million registered voters in the us. determine an interval for the number (how many) of registered democrats in th
VashaNatasha [74]
Part A:

Given that in a sample of 400 registered voters, 204 were democrats, i.e. n = 400, <span>\hat{p}= \frac{204}{400} =0.51

</span>The 95% confidence interval for the proportion of registered democrats voters in the population is given by:

95\%\ C.I.=\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\  \\ =0.51\pm1.96\sqrt{\frac{0.51(1-0.51)}{400}}=0.51\pm1.96\sqrt{\frac{0.2499}{400}} \\  \\ =0.51\pm1.96(0.025)=0.51\pm0.049=(0.51-0.049,\ 0.51+0.049) \\  \\ =\bold{(0.461,\ 0.559)}



Part B:

Given that t<span>here are 169 million registered voters in the US, the interval for the number of registered democrats in the population is given by

[0.461(169,000,000), 0.559(169,000,000)] = (77,909,000, 94,471,000)
</span>
6 0
3 years ago
(4 - 1+ 3/3) 15
ANEK [815]
Solve for what expresssion don’t
3 0
3 years ago
What do two equivalent expression always have in common
Andre45 [30]
<span> according to the code of Mathematical Logic, there exists more properties, one of its principles is the consequence and effects property, or the so-called equivalence implicationwhich is defined as follows:Two expressions A and B are equivalent if A can produce B, and B can produce A. It means A implies B and B implies A.</span>
6 0
4 years ago
How do you graph y equals 3 over 2x -4
lesya692 [45]

Answer:

Step-by-step explanation:

3/2 is the slope in y=mx+b format

b= y-intercept witch would be -4 sense it is subtracting not adding

m=slope witch is 3/2

x=x-axis

8 0
3 years ago
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