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Citrus2011 [14]
3 years ago
13

In 2 pieces of cake there are 16

Mathematics
2 answers:
ankoles [38]3 years ago
3 0

Answer:

56 grams of sugar is the correct answer

dalvyx [7]3 years ago
3 0
Since there is 16 grams of sugar in 2 pieces of cake there is 48 grams in 6 and 16 divided by 2 is 8 so 48 plus 8 is 56 therefore there is 56 grams of sugar in 7 pieces of cake
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List one way a parallelogram and a rhombus are different
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The rhombus has equal side lengths while the parallelogram doesn't have equal side lengths.
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Which of the following would NOT work to make a triangle with the two side<br> lengths of 2 and 6?
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4

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

If you add 2 and 4, you will get 6. This is the right answer because the only answer that is incorrect is the 4th, it has to equal a minimum of 7, not 6.

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The average THC content of marijuana sold on the street is 9.3%. Suppose the THC content is normally distributed with standard d
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Answer:

a) X \sim N(9.3,1)  

b) P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z

c) The value of height that separates the bottom 75% of data from the top 25% is 9.9745.  

Step-by-step explanation:

1) 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".  

2) Part a

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:

X \sim N(9.3,1)  

Where \mu=9.3 and \sigma=1

3) Part b

We are interested on this probability

P(X>9.2)

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

z=\frac{x-\mu}{\sigma}

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

P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z

4) Part c

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.6745. On this case P(Z<0.6745)=0.75 and P(z>0.6745)=0.25

If we use condition (b) from previous we have this:

P(X  

P(Z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.6745

And if we solve for a we got

a=9.3 +1*0.6745=9.9745

So the value of height that separates the bottom 75% of data from the top 25% is 9.9745.  

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Answer:

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Step-by-step explanation:

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