All categories

3 years ago

There is a high-speed rail track between London and Manchester.

Mathematics

2 answers:

Keith_Richards [23]3 years ago

7 0

Answer:

Step-by-step explanation:

this is the famous dirt formula, :P I made it up :D

D=rt ( notice it looks like Dirt , kinda, but it also means it dirt simple )

D= distance

r = rate ( think speed or how fast)

t = time ( in what ever units of time you want to use, seconds, minutes, hours )

13:28 - 11:20 = 128 minutes ( b/c the question is asking in MPH convert to hours) 2.4666667 hours

210 miles = r * 2.46666667

210 / 2.46666667 = r ( in MPH) ( does anyone else find it odd that they are saying miles in London instead of kilometers? :/ )

85.135 MPH = rate

so no, not even close to 104 MPH :/

aksik [14]3 years ago

3 0

Answer:

Average speed is 98 mph

Step-by-step explanation:

$\frac{distance (miles)}{time (hours)}$ = speed $\frac{mile}{hours}$ (miles per hour is a ratio)

The time is 2 hours and 8 minutes.

$\frac{8}{60}$ = .13333 ( 8 minutes / 60 minutes in a hour)

So time is 2.133333 hours .

Divide the distance 210 by the time 2.13333 and get the speed.

Its 98.437..

Round to 98 miles per hour.

You might be interested in

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point

kiruha [24]

This is going to be an long answer, so I'm putting the answer first. y=3x-7

First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3

Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7

Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.

5 0

3 years ago

Read 2 more answers

The bread is on sale for $1.50 so Erica is also going to buy candy or gum. Which can she afford?

Alborosie

Ok, so she started off with $5.00.

She bought milk for $2.99.

She buys bread, which costs $1.50.

Subtracting the money she wasted, the total would be $0.51.

The only thing she could buy is 5 pieces of gum for 25 cents.

Her change will be $0.26.

Hope this helps!

6 0

3 years ago

A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$