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Pavel [41]
3 years ago
14

The distance from Wakefield to London is 180 miles. A train travels this distance in 2 hours 15 minutes. Calculate the average s

peed of the train.
Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

v = 80 mph

Step-by-step explanation:

Given that,

The distance from Wakefield to London is 180 miles.

The train travels this distance in 2 hours 15 minutes.

We need to find the average speed of the train. The average speed of the train is equal to the total distance covered divided by the time taken.

v=\dfrac{d}{t}\\\\v=\dfrac{180\ miles}{(2+\dfrac{15}{60})\ h}\\\\v=80\ mph

So, the required average speed of the train is 80 mph.

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Assume a normal distribution and that the average phone call in a certain town lasted 4 min, with a standard deviation of 1 min.
olya-2409 [2.1K]

SOLUTION

The mean is 4min

standard deviation is 1min

the z score is

z=\frac{x-\bar{x}}{\sigma}

where

\begin{gathered} x=3 \\ \bar{x}=4 \\ \sigma=1 \end{gathered}

then we have

\begin{gathered} z=\frac{3-4}{1}=\frac{-1}{1}=-1 \\ z=-1 \end{gathered}

The probability the call lasted less than 3 min will be

Therefore, the probability that (z < -1 ) is

[tex]\begin{gathered} Pr(z<-1)=Pr(0Hence, the percentage of the calls that lasted less than 3 min is 16%

4 0
1 year ago
What is the value of x in the equation. 8 x - 2 y= 48 when y =4​
goldfiish [28.3K]

\qquad❄️\boxed{\bf x = 7}\\\\

We are given –

\qquad \twoheadrightarrow\bf 8x -2 y =48

  • And also value of y's given. So, just put the value of y in the given equation.

___________________________________

\qquad \purple{\twoheadrightarrow\bf 8x -2 y =48}

\qquad \twoheadrightarrow\sf  8x - \underbrace{2 \times 4} =48

\qquad \twoheadrightarrow\sf  8x - 8 =48

\qquad \twoheadrightarrow\sf  8x = 48 +8

\qquad \twoheadrightarrow\sf  8x = 56

\qquad \twoheadrightarrow\sf  x =\cancel{\dfrac{56}{8}}

\qquad \purple{\twoheadrightarrow\bf x= 7}

  • Henceforth, value of x is 7.

_______________________________________

4 0
2 years ago
Read 2 more answers
HELP I NEED HELP ASAP
pentagon [3]

Answer:

Answer

Step-by-step explanation:

The answer is d because if you at 17 to 197 you'll get 203

6 0
2 years ago
A pottery shop uses 493 pounds of clay each week. About
Flura [38]

a pottery shop uses 493 pounds of clay each week. about

how many pounds of clay will the shop use in 36 weeks?

493*36= 17,748 pounds of clay

6 0
2 years ago
Work out the value of:<br> :<br> a? – 4b + 2c<br> 2<br> when a = 1,b = -3 and c= 2
cricket20 [7]

Answer:

The answer is 17

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • a² – 4b + 2c
  • a = 1, b = (-3) and c = 2
<h3><u>To </u><u>Find</u>;</h3>
  • The value of a² – 4b + 2c

Now, Evaluate

a² – 4b + 2c

(1)² – 4(-3) + 2(2)

1 + 12 + 4 = 17

Thus, The value is 17

<u>-TheUnknownScientist 72</u>

4 0
2 years ago
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