![dontcareanyonemo](/avatars/18381.jpg)
dontcareanyonemo
25.10.2020 •
Mathematics
Expansion of Binomials
Expand (2x + 3)5
Show all work for credit (show how you got each term within the expansion).
Solved
Show answers
More tips
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
Answers on questions: Mathematics
- M Mathematics 7. lude collects tey cars The rate of the number of his blue cars to red cars in his collection is 47. f he has 77 total cars that are the or red how many more red cars does...
- M Mathematics What is the multiplicative inverse of: ⅔...
- M Mathematics Raise h to the 4th power, then find the difference of the result and g...
- M Mathematics Dr. Blum conducts a study examining the relationship between health behaviors and anxiety in elementary school children. She predicts that physical activity is very important,...
- M Mathematics Subtract the mixed numbers!...
- B Biology What is the powerhouse of the cell organelle converts glucose energy into atp...
- B Biology Assuming the carbon cycle is a closed system, which of the following statements is true? a. the sun absorbs energy from the carbon cycle. b. when all the fossil fuels are used...
- M Mathematics The probloms in the picture ^^^^...
- M Mathematics What is the product of the polynomials below? (6x2-3x-6)(4x2 +5x+4)...
Ответ:
10x + 15
Step-by-step explanation:
Start by multiplying the terms
2x by 5 and multiply 3 by 5
that gives
10x + 15.
Ответ:
Question
The proportion of people who respond to a certain mail-order solicitation is a continuous random variable X that has the density function f(x) = 2(x+2)/5 , 0 <x< 1, 0, elsewhere.
(a) Show that P(0 <X< 1) = 1.
(b) Find the probability that more than ¼ but fewer than ½ of the people contacted will respond to this type of solicitation.
a. See Explanation Below
b. P(¼<X< ½) = 0.2375
Step-by-step explanation:
Given
f(x) = 2(x+2)/5 , 0 <x< 1
Calculating P(0 <X< 1)
P(0 <X< 1) = ∫ f(x) dx {0.1}
Substitute 2(x+2)/5 for f(x)
P(0 <X< 1) = ∫ 2(x+2)/5 dx {0.1}
P(0 <X< 1) = 2/5 ∫(x+2) dx {0.1}
Integrate with respect to x
P(0 <X< 1) = 2/5 (x²/2+2x) {0.1}
P(0 <X< 1) = 2/5 (1²/2+2(1))
P(0 <X< 1) = 2/5 (½+2)
P(0 <X< 1) = 2/5 * 5/2
P(0 <X< 1) = 1 Proved
b.
Here we're to solve for P(¼<X< ½)
P(¼<X< ½) = ∫ f(x) dx {¼,½}
Substitute 2(x+2)/5 for f(x)
P(¼<X< ½) = ∫ 2(x+2)/5 dx {¼,½}
P(¼<X< ½) = 2/5 ∫(x+2) dx {¼,½}
P(¼<X< ½) = 2/5 (x²/2+2x) {¼,½}
P(¼<X< ½) = 2/5 [ (½²/2+2(½)) - (¼²/2+2(¼))]
P(¼<X< ½) = 2/5 [(⅛+1)-(1/32 + ½)]
P(¼<X< ½) = 0.2375
The probability that more than ¼ but fewer than ½ of the people contacted will respond to this type of solicitation is 0.2375