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vivado [14]
3 years ago
10

James has just sold his motorbike for £1,890.  He bought the motorbike for £2,700.  What fraction of the original cost did he se

ll the bike for?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0
Since the original cost is 2700, the fraction 1890 is of 2700 is 1890/2700. Since they both have a 0 at the end, we can cross that out to get 189/270. Next, since their digits add up to factors of 3 (1+8+9=18 and 2+7=9), we can factor 3 out to get 63/90. Repeating the process since these are factors of 3 too, we get 21/30. Doing it yet again since 21 and 30 are factors of 3, we get 7/10 as our answer
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Which inequality is represented by the graph?y > -2/3x + 1y < -2/3x + 1y < -3/2x + 1y > -3/2x + 1
Tanya [424]

Answer:

y < -\frac{3}{2}x+1

Step-by-step explanation:

Given:

From the graph shown,

The broken line means that the inequality sign will be either < or >.

The shaded region is to the left of the broken line. This means that y < f(x).

Now, in order to find equation of line, we need slope and y-intercept.

From the graph, the y intercept is at (0,1). So, y intercept is 1.

Also, if we consider two points (0,1)\textrm{ and }(2,-2) on the line, then slope is given as:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-2-1}{2-0}=\frac{-3}{2}=-\frac{3}{2}

Therefore, the equation of the line is given as:

y=mx+b\\y=-\frac{3}{2}x+1

But as the shaded region is to the left of the line,

∴ y is the correct answer.

7 0
3 years ago
7. The probability that a randomly chosen student will be left-handed is .09: a) In a class of 108, find the probability that th
vampirchik [111]

Solution :

Let x be student will be left handed

P = 0.09

Using the normal approximation to binomial distribution,

a). n = 108,

    μ = np = 9.72

    $\sigma = \sqrt{np(1-p)}$

       $=\sqrt{8.8452}$

       = 2.9741

Required probability,

P(x=8) = P(7.5 < x < 8.5)

$=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$

$=P(-0.75 < z < -0.41)$

Using z table,

= P(z<-0.41)-P(z<-0.75)

= 0.3409-0.2266

= 0.1143

b). P(x=12) = P(11.5 < x < 12.5)

$=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$

$=P(0.60 < z < 0.94)$

Using z table,

= P(z< 0.94)-P(z< 0.60)

= 0.8294 - 0.7257

= 0.1006

7 0
3 years ago
Please help me, I have no idea what I'm doing.
Tatiana [17]
It's a k skdvhejsbvaka aha a she ahwna
4 0
3 years ago
4x?=298 show your work
mote1985 [20]
Divide 298 by 4 then you should get your answer
5 0
3 years ago
Read 2 more answers
Find the 18th term of the arithmetic sequence-<br><br> -2, -6, -10, -14
tresset_1 [31]

Answer:

-2, -6, -10, -14, -18, -22, -26, -30, -34, -38, -42, -46, -50, -54, -58, -62, -66, -70

Step-by-step explanation:

The answer is -70.

Brainliest please! Visit my church's website at fbcinterlaken.org to learn more about God! It would mean a lot if you could also subscribe to the You Tube channel as well! Thank you and have a nice day! :)

3 0
2 years ago
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