Answer:
steal your teachers answer key
These girls really need to get their cookie situation organized!
Alright, so... first let's get this problem into a simpler form.
They made 3/5 of the total, then 2 dozen which = 24 and they still have to make 1/3 more.
So to make 3/5 and 1/3 more compatible, find the LCM of the Denominator. This = 15. 5*3=15 so take 3 (from 3/5) and multiply by 3, which is 9.
This turns 3/5 to 9/15
Then do the same to the other fraction. The Denominator (3) x 5 = 15, so take the Numerator (1)x5= 5.
This turns 1/3 to 5/15
Now that this is a little more clear, let's look at the problem with our equal and substituted values.
They made 9/15 of the total, then 2 dozen which = 24 and they still have to make 5/15 more.
So from this, we can see that after they made 24 (2 Dozen) that they need 5/15 more. 15/15 would mean they're done, so that minus 5/15 = 10/15.
The difference from 9/15 & 10/15 is 1/15. This is how much was added when they made 24 more. So now we know that 1/15=24.
With this information, we can finally solve the problem.
They plan to bake 15/15 of the cookies. This is just a term that is equal to 1 whole. The "whole" is the whole amount of cookies being baked. Since 1/15=24, we can figure out 15/15 by taking 15x24.
15 x 24 = 360. So they made 360 cookies. Sounds delicious.
I hope this helped! And hopefully these imaginary friends sell all 360 cookies!
Answer:
a) P(12≤χ²≤24)=0.690
b) k=35.85
c) Median=18.34
Step-by-step explanation:
<em>The question is incomplete: "Use the calculator provided to solve the following problems. Suppose that χ² follows a chi-square distribution with 19 degrees of freedom. Compute P(12≤χ²≤24) . Round your answer to at least three decimal places.</em>
<em>Suppose again that χ² follows a chi-square distribution with 19 degrees of freedom. Find k such that P(χ²>k)=0.025. Round your answer to at least two decimal places.</em>
<em>Find the median of the chi-square distribution with 19 degrees of freedom. Round your answer to at least two decimal places."</em>
Compute P(12≤χ²≤24)
Find k such that P(χ²>k)=0.025
The median of the chi-square is:
Total area = 134,835 + 3,011 = 137,846 square miles