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barxatty [35]
3 years ago
13

What’s 4⁄5 ÷ 3⁄5 equals

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
7 0

Answer:

= 4/3

Step-by-step explanation:

4/5 ÷ 3/5

= 4/5 × 5/3

= 20/15

= 4/3

stepladder [879]3 years ago
3 0

Answer: 7/5

This is how we add

4/5+3/5

Step 1

Since our denominators match, we can add the numerators.

4 + 3 = 7

That gives us an answer of

7/5

Step 2

Can this fraction be reduced?

First, we attempt to divide it by 2...

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. 7 is larger than 5. So we're done reducing.

And we're done! Here's the final answer to 4/5 + 3/5

4/5 divided by 3/5 equals 7/5

Step-by-step explanation:

You might be interested in
A manufacturer reported a sample mean = 22.0 g and a sample standard deviation = 2.5 g based on a sample of 20 of their products
tester [92]

Answer:

n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5

So the answer for this case would be n=5 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=22 represent the sample mean

\mu population mean (variable of interest)

s=2.5 represent the sample standard deviation

n represent the sample size  

ME = 2 represent the margin of error accepted

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (2)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

n=(\frac{z_{\alpha/2} s}{ME})^2   (3)

We can use as estimator for the population deviation the sample deviation \hat \sigma = s

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got z_{\alpha/2}=1.640, replacing into formula (3) we got:

n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5

So the answer for this case would be n=5 rounded up to the nearest integer

6 0
3 years ago
Two gears in a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first gear has
Aleksandr [31]

Answer:

5

Step-by-step explanation:

for the first gear

revolutions/teeth

1 / 24

2 / 48

3 / 72

4 / 96

5 / 120

6 / 144

for the second gear

revolutions/teeth

1 / 40

2 / 80

3 / 120

4 / 160

<em>the two marks will meet after 120 teeth, 5 revolutions of the first gear and 3 revolutions of the second.</em>

the way to get that amount of teeth is

24 = 2 \times 2 \times 2 \times 3 =  {2}^{3}  \times 3

40 = 2 \times 2 \times 2 \times 5 =   {2}^{3}  \times 5

the Least Common Multiple equals the product of all factors, but those factors who are repeted for both numbers should be only once.

{2}^{3} \times 5 \times 3 = 120

120 teeth are 5 revolutions for gear1 and 3 por gear2

8 0
3 years ago
Rose bought 7/20 of candy and 0.4 killogram of fruit which did she buy more of explain your answer
Juliette [100K]

Simplify 7/20 to decimals by dividing.

7 divided by 20= 0.35

Rose bought 0.35 kilograms of candy and 0.4 kilograms of fruit.

So, she bought more fruit, since 7/20 is less than 0.4.

I hope this helps :)

6 0
3 years ago
What are three names for 3.09
mixas84 [53]

Answer:

1.Three and Nine Hundredths    2. 3 9/100      3. 390%

Step-by-step explanation:


7 0
3 years ago
What are the roots of the polynomial equation x^2+8x-48=0
____ [38]

<span> Given polynomial x^2+8x-48 = 0</span>

<span>x^2+12x-4x-48 = 0</span>

<span>x(x+12)-4(x+12) = 0</span>

<span>(x+12)(x-4) = 0</span>

<span>x+12 = 0</span>

Subtract 12 from each side.

<span>x+12-12 = 0-12</span>

<span>x = -12</span>

<span>and x-4 = 0</span>

Add 4 to each side.

<span>x-4+4 = 0+4</span>

<span>x = 4</span>

<span>Roots are -12,4.</span>

4 0
3 years ago
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