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Vsevolod [243]
3 years ago
11

3. Tim has 5/12 of a jar of blackberry jam and 3/8

Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

Answer:

The answers are 10/24 and 9/24.

Step-by-step explanation:

Given:

Tim has 5/12 of a jar of blackberry jam and 3/8  of a jar of strawberry jam.

Now, to write using a common denominator.​

So, we get the multiples of denominator of the fractions to get common denominator:

12 - 12, <u>24</u>, 36.

8  -  8, 16, <u>24</u>.

Here we see that <u>24</u> is the common denominator.

Now, we multiply the numerator and denominator with the same number to get the common denominator of the fractions:

⇒  \frac{5}{12}=\frac{5\times 2}{12\times 2} =\frac{10}{24}

⇒  \frac{3}{8}=\frac{3\times 3}{8\times 3} =\frac{9}{24}

Therefore, the answers are 10/24 and 9/24.

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1/5n+3/5n=7/9<br><br> Can you help?
ArbitrLikvidat [17]

The value of n in 1/5n+3/5n=7/9 is 35/36

<h3>How to solve the equation?</h3>

The equation is given as:

1/5n+3/5n=7/9

Multiply through by 5

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Evaluate the sum

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Divide both sides by 4

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Hence, the value of n in 1/5n+3/5n=7/9 is 35/36

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Answer:

P(5

And we can find this probability with thie difference:

P(-2

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-2

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

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Where \mu=6 and \sigma=0.5

We are interested on this probability

P(5

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

P(5

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