59.2g of sugar is needed to make 8 cakes. How much sugar is needed for 11 cakes?

2 answers:

8 0

The easiest way to solve this is by figuring out how much sugar is require for 1 cake.

to do this, you’d divide 59.2/8 to get 7.4

from there, you’d multiply 7.4 x 11 to get the require amount of sugar for 11 cakes!! (81.4g)

Eva8 [605]3 years ago

3 0

Answer:

81.4

Step-by-step explanation:

59.2g is for 8, so to find the price per, 59.2/8=7.4. 7.4*11=81.4

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Bad White [126]

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3 years ago

Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a certain mountain, the hourly rates have a

notsponge [240]

Answer:

$z=0.842$

And if we solve for a we got

$\mu=13.16 +0.842*3=15.69$

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 hourly rates of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,3)$

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

$P(X>13.16)=0.20$ (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 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20

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

$P(X$