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elena-s [515]
3 years ago
12

A dartboard has a diameter of 30 inches. What are its radius and circumference?

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

radius = 15 in.

circumference = 94.2 in.

Step-by-step explanation:

radius = diameter/2 = 30 in./2 = 15 in.

circumference = (pi)d = 3.14 * 30 in. = 94.2 in.

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PLZ HLP! You ask 125 randomly chosen students to name their favorite food. There are 1500 students in the school. Predict the nu
arsen [322]

Answer:

696

Step-by-step explanation:

58/125 = 46.4%

0.464 x 1500 = 696 people

6 0
3 years ago
There are n machines in a factory, each of them has defective rate of 0.01. Some maintainers are hired to help machines working.
frosja888 [35]

Answer:

a) 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b) 1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c) ∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

Step-by-step explanation:  

Given that;

if n ⇒ ∞

p ⇒ 0

⇒ np = Constant = λ,  we can apply poisson approximation

⇒ Here 'p' is small ( p=0.01)

⇒ if (n=large) we can approximate it as prior distribution

⇒ let the number of defective items be d

so p(d) = ((e^-λ) × λ) / d!

NOW

a)

Let there be x number of repairs, So they will repair 20x machines on time. So if the number of defective machine is greater than 20x they can not repair it on time.

λ[n0.01]

p[ d > 20x ] = 1 - [ d ≤ 20x ]

= 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b)

Similarly in this case if number of machines d > 80x/3;

Then it can not be repaired in time

p[ d > 80x/3 ]

1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c)

n = 300, lets do it for first case i.e;

p [ d > 20x } ≤ 0.01

1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.01

⇒ ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.99

⇒ ∑²⁰ˣ_k=0 (λ^k)/k! = 0.99e^λ

∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

8 0
3 years ago
Baseten school District bought 5,000 pencils.They are distributing the pencils evenly to 10 schools in the district.How many pen
katrin [286]
<h3>500 PENCILS ARE GOT TO 1 SCHOOL. because 10 is divided by 5000 </h3>
4 0
3 years ago
A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir
Trava [24]
The ratio is 4/5 girls to boys. if there are 60 girls you would divide 60 by 4 and get 15. you would then multiply that 15 by 5 to get the number of boys in the choir. your answer would be 75 because 15x5=75. there are 75 boys in the choir
7 0
2 years ago
Will get Brainliest plz help
ladessa [460]

Answer: B

Step-by-step explanation:

An equation is y=mx+b for regular equation stander form. C would automatically be eliminated that leaves you with A and B... a you don't have a y intercept so you would start at zero.

You have to pay an entrance fee plus any other souvenirs you would want. so the entrance fee would be the y intercept in "B"

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2 years ago
Read 2 more answers
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