Circumference = PI x Diameter

circumference of tire = 3.14 x 1.1 = 3.454 feet

so every full turn of the tire the bike travels 3.454 feet

110 feet / 3.454 = 31.8 turns

3 0

3 years ago

If f(x) = 3x – 2 and g(x) = 2x + 1, find (f + g)(x). please help :C

Luba_88 [7]

(f+g)(x) = f(x) + g(x)

(f+g)(x) = 3x-2 + 2x+1

(f+g)(x) = (3x+2x) + (-2+1)

(f+g)(x) = 5x - 1

3 0

2 years ago

Read 2 more answers

If a student was randomly guessing while completing a 20 question multiple choice exam, what is the probability they would score

mario62 [17]

Answer:

you want 4 correct and 16 incorrect

there are 20 questions

each question has four answers, so

P(right answer) = 1/4

P(wrong answer) = 3/4

----

Since you want 4 correct of 20 we have a combination of 20C4

This is a binomial problem where p = 1/4, q = 3/4 and we get

(20 "choose" 4)*(probability correct)^(number correct)*(probability incorrect)^(number incorrect)

putting numbers in we get

(20c4)*(1/4)^4*(3/4)^16

This gives us

~ .189685

Step-by-step explanation:

7 0

3 years ago

Simplify the expression

AlexFokin [52]

Answer:

Step-by-step explanation:

$\frac{3+4\iota}{2+4\iota}=\frac{3+4 \iota}{2+4\iota} \times \frac{2-4 \iota}{2-4 \iota}\\=\frac{6 -12 \iota+8 \iota-16 \iota^2 }{4-16 \iota^2 }\\=\frac{ 6-4 \iota+16}{4+16}\\=\frac{22-4 \iota}{20}$

5 0

2 years ago