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gulaghasi [49]
3 years ago
9

Action movies make up 85% of Devon’s movie collection. If he has 20 movies, how many action movies are in Devon’s collection ? E

xplain your reasoning to classmate
Mathematics
2 answers:
Nata [24]3 years ago
7 0
Simplu convert 85% by skipping to decimal points, making it .85

Multiply 20 and .85.

20 x .85 = 17

17 action movies are in Devon's collection.
Vedmedyk [2.9K]3 years ago
3 0
Action movies make up 85% of Devon's collection. His collection consists of 20 movies. Therefore, 85% of 20 movies are action movies.

85% of 20....turn ur percent to a decimal..." of " means multiply
0.85(20) = 17.....so Devon has 17 action movies <=

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Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

\overline{x}=19.1 years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : \alpha= 1-0.99=0.01

Degree of freedom : df= 8  (∵df =n-1)

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The 99% confidence interval for the population mean would be :-

\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}

19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)

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7 0
3 years ago
Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking.
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Step-by-step explanation:

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Flower garden is in rectangular shape. In rectangle, opposite sides are equal.

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C = 5x -x - 3 + 2

C = 4x - 1

4) Area of Vegetable garden = length * width

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Use FOIL method

                                               = 5x *9x  + 5x*2  + (-3)*9x + (-3)*2

                                                = 45x²  + 10x - 27x - 6  

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Answer:

<em>Option B; EF = ( About ) 4.47 units, Perimeter of Δ EFG = ( About ) 12.94 units</em>

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EH and FH are legs of a right triangle EFH, so that Pythagorean Theorem can be applied to solve for the length of EF and EG, knowing that as Δ EFG ⇒ Isosceles Δ, EF ≅ EG;

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