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3 years ago

7 times as much as the sum of 1/3 and 4/5

2 answers:

7 0

First of all, you add 1/3 and 4/5, so you get:
$\frac{1}{3} + \frac{4}{5}$

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:
$\frac{1*5}{3*5} + \frac{4*3}{5*3}$
$\frac{5}{15} + \frac{12}{15}$

Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:
$\frac{5+12}{15}$
$\frac{17}{15}$

That's the sum of 1/3 + 4/5.

Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:
$\frac{17}{15} * \frac{7}{1}$

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:
$\frac{17*7}{15*1}$
$\frac{119}{15}$

Since 119 and 15 don't have a common factor, so they can't be simplified.
So, the answer is 119/15.

Hope this Helps! :D

Anna11 [10]3 years ago

3 0

What you have to do first is to add $\frac{1}{3}$ and $\frac{4}{5}$ ,

<h2>Further Explanation</h2>

Therefore we have:

= $\frac{1}{3}$ + $\frac{4}{5}$

= ( $\frac{1}{3}$ + $\frac{4}{5}$ ) / 15 (15 is the smallest number that divide both denominator also known as LCD)

= (5 x 1) + (3 x 4) / 15

= 5 + 12 / 15

= $\frac{17}{15}$

Therefore, the sum of $\frac{1}{3}$ + $\frac{4}{5}$ is $\frac{17}{15}$

But since the question says you should determine the sum of the 2 fractions, therefore you should multiply $\frac{17}{15}$ by 7. Therefore you should have:

$\frac{17}{15}$ X 7 (7 can also be expressed as $\frac{7}{1}$ )

= $\frac{17}{15}$ x $\frac{7}{1}$ (notably, in multiplication there is no need for the fraction to have the same denominator. You can multiply both numbers at the top together (numerator) and do same with the denominator.

= $\frac{119}{15}$

= $7\frac{14}{15}$

Therefore, 7 times as much as the sum of $\frac{1}{3}$ and $\frac{4}{5}$ is $7\frac{14}{15}$

LEARN MORE:

7 times as much as the sum of 1/3 and 4/5 brainly.com/question/1063624
7 times as much as the sum of 1/3 and 4/5 brainly.com/question/282415

KEYWORDS:

multiplication
addition
sum
denominator
numerator

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Answer:

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If f(x) = 2, then x = -5

Step-by-step explanation:

Looking at the graph, we can easily determine the value of the given functions.

f(-3) = -2 (This function basically asks, if x = -3, what is the value of y? In the graph, it shows that the value of y is -2).

f( 1 ) = - 1 (Similarly, this function asks, if x = 1, what is the value of y? In the graph, it shows that the value of y is -1).

If f(x) = -2, then x = ? ←← For this particular question, you're given the value of y = -2. All you need to do is look at the graph to see what is the value of x given that y = -2. Even though it is not clearly labeled on the graph, it shows the value of x = 3 (it is right where the end arrow is located).

Therefore, If f(x) = -2, then x = 3.

If f(x) = 2, then x = ? ←← Similar to the previous question, you're given the value of y = 2. In the graph, one of the given points has the coordinates of (-5, 2). This gives you the value of x = -5.

Therefore, If f(x) = 2, then x = -5.

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Biologists have observed that the chirping rate of crickets of a certain species is related to temperature, and the relationship

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(a) Find the linear equation that relates the temperature t and the number of chirps per minute n.
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t = 5/24 n + 45

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Answer:

1) n=114

2) n=59

3) On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.2$ and $\alpha/2 =0.1$ . And the critical value would be given by:

$z_{\alpha/2}=-1.28, z_{1-\alpha/2}=1.28$

Part 1

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.06$ or 6% points, and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have a prior estimate of $\het p$ we can use 0.5 as a good estimate, replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.06}{1.28})^2}=113.77$

And rounded up we have that n=114

Part 2

On this case we have a prior estimate for the population proportion and is $\hat p =0.85$ so replacing the values into equation (b) we got:

$n=\frac{0.85(1-0.85)}{(\frac{0.06}{1.28})^2}=58.027$

And rounded up we have that n=59

Part 3

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