Answer:
9/32 of the cookie was left for Stephanie to eat after lunch
Step-by-step explanation:
Anastasia’s mom baked a giant sugar cookie for her birthday.
On her birthday, ⅝ of the birthday cookie was eaten.
So, remaining cake =![1 - \frac{5}{8}=\frac{3}{8}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B5%7D%7B8%7D%3D%5Cfrac%7B3%7D%7B8%7D)
The next day her brother ate ¼ of what remained.
Amount of cake eaten by her brother = ![\frac{1}{4}(\frac{3}{8})=\frac{3}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%28%5Cfrac%7B3%7D%7B8%7D%29%3D%5Cfrac%7B3%7D%7B32%7D)
So, remaining cake = ![\frac{3}{8}-\frac{3}{32}=\frac{12-3}{32}=\frac{9}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D-%5Cfrac%7B3%7D%7B32%7D%3D%5Cfrac%7B12-3%7D%7B32%7D%3D%5Cfrac%7B9%7D%7B32%7D)
Hence 9/32 of the cookie was left for Stephanie to eat after lunch
Answer:
Louis has faster pitch when compared to each of their teams.
Step-by-step explanation:
We have two pitchers which we need to compare to each of their teams.
To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.
For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.
We can calculate the z-score for Jerry speed as:
![z=\dfrac{X-\mu}{\sigma}=\dfrac{86-93}{3}=\dfrac{-7}{3}= -2.333](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3D%5Cdfrac%7B86-93%7D%7B3%7D%3D%5Cdfrac%7B-7%7D%7B3%7D%3D%20-2.333)
The proportion of players that are below Jerry speed is approximated by the standard normal distribution:
![p=\Phi(z](https://tex.z-dn.net/?f=p%3D%5CPhi%28z%3C-2.333%29%3D0.00982)
For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.
We can calculate the z-score for Jerry speed as:
![z=\dfrac{X-\mu}{\sigma}=\dfrac{84-89}{3.5}=\dfrac{-5}{3.5}= -1.429](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3D%5Cdfrac%7B84-89%7D%7B3.5%7D%3D%5Cdfrac%7B-5%7D%7B3.5%7D%3D%20-1.429)
The proportion of players that are below Louis speed is approximated by the standard normal distribution:
![p=\Phi(z](https://tex.z-dn.net/?f=p%3D%5CPhi%28z%3C-1.429%29%3D0.0765)
As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.
The zeroes of the function will be equal to ( 7, -6 ).
<h3>
What is a quadratic equation?</h3>
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given function:-
As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.
( x- 7 ) = 0
x = 7
( x+ 6 ) = 0
x = -6
Therefore zeroes of the function will be equal to ( 7, -6 ).
To know more about quadratic equations follow
brainly.com/question/1214333
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