Ask question

Ask question

All categories

3 years ago

12

Ivan and tanya share £150 in the ratio 4:1

1 answer:

netineya [11]3 years ago

6 0

Answer:

Ivan got £90 more than tanya.

Step-by-step explanation:

£150/(4+1)

=£150/5

=£30

Ivan: £30 x 4=£120

Tanya: £30 x 1=£30

Ivan - Tnaya=£120 - £30=£90

Hope it helps.

You might be interested in

13. Evaluate for a = -6 and b = -2. Find ab.

Vika [28.1K]

Solution:

Given;

$a=-6,b=-2$ $ab=-6\times-2$ $ab=12$

4 0

1 year ago

3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

dlinn [17]

Answer:

a

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

The null hypothesis is rejected

b

The 99% confidence level is $13.3930 < \mu < 13.3994$

Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

$\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}$

=> $\= x = 13.3962$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

=> $\sigma =0.0039$

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

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

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

=> $z = 3.08$

Generally the p-value is mathematically represented as

$p-value = 2P( z > 3.08)$

From the z-table $P(z > 3.08)= 0.001035$

So

$p-value = 2* 0.001035$

$p-value = 0.00207$

So from the obtained value we see that

$p-value < \alpha$

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is 99% then the level of significance is

$\alpha = (100 -99)\%$

=> $\alpha = 0.01$

Generally from the normal distribution table critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 2.58 * \frac{0.0039}{\sqrt{10} }$

=> $E = 0.00318$

Generally the 99% confidence interval is mathematically represented as

$13.3962 - 0.00318 < \mu < 13.3962 + 0.00318$

=> $13.3930 < \mu < 13.3994$

7 0

3 years ago

Given ; 2(10-13x)+9x=-34x+60

rewona [7]

Try comparing your solution with the following:

Solution:

$2(10-13x)+9x=-34x+60\\(20-26x)+9x=-34x+60\\20-26x+9x=-34x+60\\20-17x=-34x+60\\20-60=-34x+17x\\-40=-17x\\x=\frac{40}{17}$

Answer:

$x=\frac{40}{17}$

Check:

$2[10-13(\frac{40}{17})]+9(\frac{40}{17})=-34(\frac{40}{17})+60\\-20=-20$

<em>Hope this was helpful.</em>

3 0

3 years ago

Y=3(x-2)+1 how can i graph this into slope intercept form

liraira [26]

Answer: y=3x--5

Step-by-step explanation: First simplify by distribution and lie terms to get:

y=3x-5

3 is your slope which means every time your y goes up three your x goes across one.

-5 is your y-intercept which means (0,-5) goes through your line

3 0

3 years ago

What is the anwser to ½ of ½?

Anuta_ua [19.1K]

Hey there!

1/2 * 1/2

= 1(1) / 2(2)

= 1 / 4 ≈ 0.25

Therefore, your answer is: 1/4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

6 0

2 years ago