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2 years ago

If a−3b/a+b = 3/4 , what are the following ratios? a+b/a

Mathematics

1 answer:

ivanzaharov [21]2 years ago

6 0

Answer:

16/15

Step-by-step explanation:

We are given the equation;

a−3b/a+b = 3/4

We are required to determine the ratio a+b/a

It will be easier to first determine the value of a/b

Using cross multiplication;

a−3b/a+b = 3/4 becomes,

4(a-3b) = 3(a+b)

4a - 12b = 3a + 3b

Combining the like terms;

4a - 3a = 3b + 12b

a = 15 b

Thus, a/b = 15/1

Taking a = 15 and b = 1

Then,

a+b/a = (15 + 1)/15

= 16/15

Therefore, the ratio a+b/a is 16/15

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How many thirds are in - 4 2/3

lisov135 [29]

There are 14 thirds in 4 2/3

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3 years ago

4/9 divided by what equals 12

Dahasolnce [82]

(4/9)/x= 12

Multiply both sides by x
4/9=12x

Divide both sides by 12
(4/9)*(1/12)= 4/108
4/108= 1/27

Final answer: 1/27

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2 years ago

Max's trip home takes 3 2 32 minutes. What is the latest time he can leave to be home by a quarter before 5 5?

Phantasy [73]

Answer:

Latest time he can leave to be home by a quarter before 5 is 4:13

Step-by-step explanation:

Given Max's trip home takes 32 minutes. we have to find the time at which he can leave to be home by a quarter before 5.

quarter before 5 means 4:45

Max's takes 32 min to come to home so he has to leave 32 minutes before the given time.

Hence, latest time he can leave to be home by a quarter before 5 is 4:45-32 = 4:13

3 0

3 years ago

Assume a simple random sample of 10 BMIs with a standard deviation of 1.186 is selected from a normally distributed population o

kirza4 [7]

Answer:

a) H0: $\sigma = 1.34$

H1: $\sigma \neq 1.34$

b) $df = n-1= 10-1=9$

And the critical values with $\alpha/2=0.005$ on each tail are:

$\chi_{\alpha/2}= 1.735, \chi_{1-\alpha/2}= 23.589$

c) $t=(10-1) [\frac{1.186}{1.34}]^2 =7.05$

d) For this case since the critical value is not higher or lower than the critical values we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not significantly different from 1.34

Step-by-step explanation:

Information provided

n = 10 sample size

s= 1.186 the sample deviation

$\sigma_o =1.34$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic (chi square test)

$\alpha=0.01$ significance level

Part a

On this case we want to test if the true deviation is 1,34 or no, so the system of hypothesis are:

H0: $\sigma = 1.34$

H1: $\sigma \neq 1.34$

The statistic is given by:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

Part b

The degrees of freedom are given by:

$df = n-1= 10-1=9$

And the critical values with $\alpha/2=0.005$ on each tail are:

$\chi_{\alpha/2}= 1.735, \chi_{1-\alpha/2}= 23.589$

Part c

Replacing the info we got:

$t=(10-1) [\frac{1.186}{1.34}]^2 =7.05$

Part d

For this case since the critical value is not higher or lower than the critical values we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not significantly different from 1.34

5 0

2 years ago

-4/9x-5/72x+1/8x= -56 please help me guys

geniusboy [140]

Answer:

$x=144$

Step-by-step explanation:

Therefore, $x=144$ should be your final answer.

3 0

2 years ago