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satela [25.4K]
3 years ago
12

Horace take a taxi uptown and the fare is $12.78 he wants to give the taxi a 10% tip if Horace gives the driver a $20 bill how m

uch change should he ask for
Mathematics
1 answer:
Olegator [25]3 years ago
7 0

Answer:

$5.94

Step-by-step e

12.78 + 10% (1.28) = 14.06

20.00 - 14.06 = 5.94

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Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and th
Marizza181 [45]

Answer:

\mu = 8.8\\\sigma = 1.9

Now we are supposed to find probabilities that the response time is between 5 and 10 minutes i.e P(5<x<10)

Formula : z= \frac{x-\mu}{\sigma}

at x = 5

z= \frac{5-8.8}{1.9}

z=-2

at x = 10

z= \frac{10-8.8}{1.9}

z=0.6315

P(-2<z<0.6315)=P(z<0.6315)-P(z<-2)

Refer the z table

P(-2<z<10)=0.7357-0.0228=0.7129

So, the probability that response time is between 5 and 10 minutes  is 0.7129

b)the response time is less than 5 minutes

at x = 5

z= \frac{5-8.8}{1.9}

z=-2

P(x<5)=P(z<-2)=0.0228

So, the probability that  the response time is less than 5 minutes is 0.0228

c)the response time is more than 10 minutes

at x = 10

z= \frac{10-8.8}{1.9}

z=0.6315

P(x>10) = 1-P(x<10) = 1-P(z<0.63) = 1-0.7357 = 0.2643

So, The probability that  the response time is more than 10 minutes is 0.2643

4 0
3 years ago
Please help me!!!!!!
anastassius [24]

The answer is A

Step-by-step explanation:

hope it helps!!

3 0
3 years ago
Read 2 more answers
George makes two transactions today what can be the sum of 78+ (-34) mean in terms of George bank account
Alinara [238K]
Aacanding th the title a tite sic is 7R t Cz4
78t1-341=78-34=44 iThe iome is psitive aad the withdraual is
regative
so the sum TRIc-3) is mean the situation of the Gearge's acount
after the two transactions today


Gerge is bank account cared 44 today
8 0
2 years ago
Add 5+[-8] what is the awenser or sum.
Arte-miy333 [17]

Answer:

Your answer is -3

Step-by-step explanation:

We know your answer is going to be the answer because 8 is a bigger number than 5, so you take 5 away from (-8)

Which leaves you with -3

Hope this helps!

-Payshence

7 0
4 years ago
Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap
pantera1 [17]

Answer:

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e \dfrac{dV}{dt}= 20 \ ft^3/min

we know that radius r is always twice the   diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

V = \dfrac{\pi r^2 h}{3}

V = \dfrac{\pi (h/2)^2 h}{3}

V = \dfrac{1}{12} \pi h^3

V = \dfrac{ \pi h^3}{12}

Taking the differentiation of volume V with respect to time t; we have:

\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}

\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}

we know that:

\dfrac{dV}{dt}= 20 \ ft^3/min

So;we have:

20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}

20= 56.25 \pi \times \dfrac{dh}{dt}

\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

8 0
4 years ago
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