Answer:
The answer is B. 12 cm
Step-by-step explanation:
ABC is a right triangle
AB and BC are the legs and AC is the hypotenuse.
The Pythagorean theorem a^2 + b^2 = c^2 can be manipulated to solve for a and get 12.
If the question is, "What is the scale factor." That would be a scale (factor) of 2.
Answer:
15 packages
Step-by-step explanation:
Set up a proportion, where x is the number of packages she can wrap with 2.5 rolls of wrapping paper:
= ![\frac{x}{2.5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2.5%7D)
Cross multiply and solve for x:
0.5x = 7.5
x = 15
So, with 2.5 rolls of wrapping paper, she can wrap 15 packages
Answer:
expression: 3(d+35)
simplified expression: 3d + 105
Step-by-step explanation:
The first drone costs d. This means the expression = d
The second drone costs d and an additional $35. Expression = d + 35
The third drone costs 3 times as much as the previous one. Expression = 3(d+35)
To simplify it, you just distribute. Hope this helps :)
Answer:
The error E = ± 4.04 %
Step-by-step explanation:
Solution:-
- The sample data is used to estimate the population proportion ( p ).
- The success p^ = success percentage = 40 %
- The confidence interval CI = 98%
- The sample size n = 800
- The margin of error E:
- The margin of error "E" for estimation of population proportion ( p ) is given by:
![E = z-critical*\sqrt{\frac{p~ ( 1 - p~ )}{n} }](https://tex.z-dn.net/?f=E%20%3D%20z-critical%2A%5Csqrt%7B%5Cfrac%7Bp~%20%28%201%20-%20p~%20%29%7D%7Bn%7D%20%7D)
Where, Z-critical value is defined by the significance level:
P ( Z < Z-critical ) = α / 2
Where, α : Significance level
α = 1 - CI
P ( Z < Z-critical ) = (1 - 0.98) / 2
P ( Z < Z-critical ) = 0.01
Z-critical = 2.33
- The error E of estimation is:
![E = 2.33*\sqrt{\frac{0.4 ( 1 - 0.4 )}{800} }\\\\E = 0.04035](https://tex.z-dn.net/?f=E%20%3D%202.33%2A%5Csqrt%7B%5Cfrac%7B0.4%20%28%201%20-%200.4%20%29%7D%7B800%7D%20%7D%5C%5C%5C%5CE%20%3D%200.04035)
- The error E = ± 4.04 %