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3 years ago

Find 2 equivalent fractions for each of the following:

Mathematics

1 answer:

valentinak56 [21]3 years ago

6 0

4 and 5 are equivalent

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5/6k+2/3=4/3 <br> What is K? <br> I don't understand how to do these

Drupady [299]

First, subtract 2/3 from both sides and you get $\frac{5}{6} k = \frac{2}{3}$
Then multiply both sides by 6/5 and you get $k = \frac{4}{5}$

8 0

2 years ago

How many solutions do these equations have y= 3x+4 y+6=3x

Nataly [62]

Answer:

Step-by-step explanation:

hello :

the system is : y= 3x+4....(*)

y+6=3x....(**)

by (**) : y = 3x - 6

so : y= 3x+4

y= 3x - 6

means : 3x+4 = 3x - 6

4= -6.......(false)

conclusion : no reals solutions

5 0

2 years ago

We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden

True [87]

Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

In this problem, we have that:

$p = 0.5, M = 0.1$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}$

$0.1\sqrt{n} = 0.98$

$\sqrt{n} = 9.8$

$(\sqrt{n})^{2} = (9.8)^{2}$

$n = 96$

The minimum number of cities we need to contact is 96.

8 0

2 years ago

DedPeter [7]

33 Caribbean dollars

Step-by-step explanation:

$6 US dollars = 16 Caribbean dollars,

6 into 16 =2.66 x 12 = 31.92 = 32 Caribbean dollars for $12 US dollars

8 0

2 years ago

Find the equivalent exponential expression.<br> (4^2)4

steposvetlana [31]

Answer:

4^8

Step-by-step explanation:

If the second 4 is an exponent, as in (4^2)^4, then multiply the exponents.

(4^2)^4 = 4^(2 * 4) = 4^8

3 0

3 years ago