Since we want just the top 20% applicants and the data is normally distributed, we can use a z-score table to check the z-score that gives this percentage.
The z-score table usually shows the percentage for the values below a certain z-score, but since the whole distribution accounts to 100%, we can do the following.
We want a z* such that:
But, to use a value that is in a z-score table, we do the following:
So, we want a z-score that give a percentage of 80% for the value below it.
Using the z-score table or a z-score calculator, we can see that:
![\begin{gathered} P(zNow that we have the z-score cutoff, we can convert it to the score cutoff by using:[tex]z=\frac{x-\mu}{\sigma}\Longrightarrow x=z\sigma+\mu](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28zNow%20that%20we%20have%20the%20z-score%20cutoff%2C%20we%20can%20convert%20it%20to%20the%20score%20cutoff%20by%20using%3A%5Btex%5Dz%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5CLongrightarrow%20x%3Dz%5Csigma%2B%5Cmu)
Where z is the z-score we have, μ is the mean and σ is the standard deviation, so:
so, the cutoff score is approximately 72.
The exponent cannot be
added to the product because it stated in the law of exponents. An
exponent is simply the shorthand in multiplying your base number. Exponent
will give how many times you will multiply the base numbers. It is not
possible that you add both exponents in the given situation because they
have different value together.
=> 12^3 x 11^3
If we solve this equation following the rule of exponent will get the
correct answer:
=> (12 x 12 x 12) x (11 x 11 x 11)
=> 1728 X 1331
=> the answer is 2 299 968
But if we add the exponent, the answer would be wrong
=> 12^3 x 11^3
=> 132^6
=> 5289852801024 which is wrong.
Answer:
The quantities used by Manuela were correct
Step-by-step explanation:
The question is
Did Manuela use the right quantities?
Let
x -----> the parts of oil
y ----> the parts of vinegar
we know that
The ratio of the parts of oil by the parts of vinegar of recipe is
Determine the relation used by Manuela
Compare with the recipe
Is true, the quantities are proportional
therefore
The quantities used by Manuela were correct
Area of pizza = pi × r^2
pi × r^2 = 220 Sq. cm
22/7 × r^2 =220
r^2 = 220 × 7/22
r^2 = 70
r = square root of 70
r = 8.36
therefore , radius of the pizza is 8.36 cm
(please do mark as brainliest)
