Answer:
12 noodles
Step-by-step explanation:
If each child is given x amount of noodles, and there are 276 noodles to split among 23 students, set up the equation as seen below:
276÷23=12
276 noodles divided by 23 children = 12 noodles per child.
Answer:
x = 13.5 units
Step-by-step explanation:
Segment drawn to join the two sides of the triangle is parallel to third side of the triangle.
Therefore, by basic proportionality theorem:

Answer:
1. B) Figure B.
2. C) Figure C.
3. D) Figure D.
4. C) Figure C.
Step-by-step explanation:
Given: Radius of Circle A= 4
Radius of Circle B= 5
Radius of circle C= 6
Radius of circle D= 7
Now, finding circumference and area of all the circle.
We know, circumference of circle= 
Area of circle= 
Where, r= radius of circle and π = 3.14
First, solving for figure A
Circumference= 
Area= 
Solving for Figure B
Circumference= 
Area= 
Solving for Figure C
Circumference= 
Area= 
Solving for Figure D
Circumference= 
Area= 
∴ 1. Answer is Figure B.
2. Answer is figure C.
3. Answer is Figure D
4. Answer is Figure C.
Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%
Step-by-step explanation:
Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.
Let x be the weights of legal U.S. quarters .
Required probability: 
![=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275 \ \ \ [By\ P-value\ calculator]](https://tex.z-dn.net/?f=%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B5.33-5.67%7D%7B0.07%7D%29%2BP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B5.81-5.67%7D%7B0.07%7D%29%5C%5C%5C%5C%3DP%28z%3C-4.857%29%2BP%28z%3E2%29%5Capprox0.02275%20%20%20%20%5C%20%5C%20%5C%20%5BBy%5C%20%20P-value%5C%20calculator%5D)
The percentage of legal quarters will be rejected by the vending machine = 2.275%
Answer:
Step-by-step explanation:
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