3 dumplings can be made by Serenity
<em><u>Solution:</u></em>
Given that,
Serenity has
cups of dough to make dumplings
She uses
cup of dough for each dumpling
To find: Number of whole dumplings made
From given information,
![\text{Total cups of dough } = 2\frac{1}{2} = \frac{2 \times 2+1}{2} =\frac{5}{2}](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cups%20of%20dough%20%7D%20%3D%202%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B2%20%5Ctimes%202%2B1%7D%7B2%7D%20%3D%5Cfrac%7B5%7D%7B2%7D)
![\text{Cups of dough for 1 dumpling } = \frac{3}{4}](https://tex.z-dn.net/?f=%5Ctext%7BCups%20of%20dough%20for%201%20dumpling%20%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling
![\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = \frac{\frac{5}{2}}{\frac{3}{4}} = \frac{5}{2} \times \frac{4}{3}\\\\\text{Number of whole dumplings made } = \frac{10}{3} = 3.33 \approx 3](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20whole%20dumplings%20made%20%7D%20%3D%20%5Cfrac%7B%5Ctext%7Btotal%20cups%20of%20dough%7D%7D%7B%5Ctext%7Bcups%20of%20dough%20for%201%20dumpling%7D%7D%5C%5C%5C%5C%5Ctext%7BNumber%20of%20whole%20dumplings%20made%20%7D%20%3D%20%5Cfrac%7B%5Cfrac%7B5%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5C%5Ctext%7BNumber%20of%20whole%20dumplings%20made%20%7D%20%3D%20%5Cfrac%7B10%7D%7B3%7D%20%3D%203.33%20%5Capprox%203)
Thus 3 dumplings can be made
Answer:
0.44
Step-by-step explanation:
Given the estimated logistic regression model on risk of having squamous cell carcinoma
-4.84 + 4.6*(SMOKER)
SMOKER = 0 (non-smoker) ; 1 (SMOKER)
What is the predicted probability of a smoker having squamous cell carcinoma?
exp(-4.84 + 4.6*(SMOKER)) / 1 + exp(-4.84 + 4.6*(SMOKER))
SMOKER = 1
exp(-4.84 + 4.6) / 1 + exp(-4.84 + 4.6)
exp^(-0.24) / (1 + exp^(-0.24))
0.7866278 / 1.7866278
= 0.4402863
= 0.44
Answer:
7, 8, 9, 10
Step-by-step explanation:
If Zoe worked 4 hours of babysitting at $7 per hour, she earned $28. Therefore, she must earn another $102 to earn at least $130. At $15 per hour, she must work a minimum of 7 hours clearing tables to make at least $102. This is fine since she can work another 10 hours before reaching her maximum of 14 total hours. Therefore, all possible values for the number of whole hours clearing tables that she must work to meet her requirements are 7, 8, 9, 10.
Answer:
I believe this would be B
Step-by-step explanation:
The way I do improper fractions is called the 'boot'
It is where you take the whole number and the denominator and circle both of them so it kind of looks like a boot and you multiply those together.
So 5 * 8= 40 then you add your numerator to that which gets you 45, and you keep the denominator the same
So you end up with 45/8
Sorry if its a little confusing
Hope this helps :)
Answer:
AB = 2.18 units
Step-by-step explanation:
![\tan 52\degree =\frac{AB}{BC} \\ \\ AB = BC \tan 52\degree \\ \\ AB = 1.7 \times 1.2799416322 \\ \\ AB = 1.7 \times 1.2799416322 \\ \\AB = 2.17590077 \\ \\ AB \approx 2.18 \: units](https://tex.z-dn.net/?f=%5Ctan%2052%5Cdegree%20%3D%5Cfrac%7BAB%7D%7BBC%7D%20%20%5C%5C%20%20%5C%5C%20AB%20%3D%20BC%20%5Ctan%2052%5Cdegree%20%5C%5C%20%20%5C%5C%20AB%20%3D%201.7%20%20%5Ctimes%201.2799416322%20%5C%5C%20%20%5C%5C%20AB%20%3D%201.7%20%20%5Ctimes%201.2799416322%20%5C%5C%20%20%5C%5CAB%20%3D%202.17590077%20%5C%5C%20%20%5C%5C%20AB%20%20%5Capprox%202.18%20%5C%3A%20units)