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ikadub [295]
3 years ago
10

The circumference or perimeter of a circle can be found by multiplying its diameter by 3.14. What is the circumference of a circ

le that has a diameter of 1/2 inch?
Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

The circumference of the circle with half inch diameter is 1. 57 inch.

Step-by-step explanation:

D = 1/2 inch  =  0.5 inch

Circumference = 3.14  x Diameter

So, now the circumference of the circle  =  d  x 3.14

                                                                   = 0.5 inch x 3.14  

                                                                    = 1.57 inch

Or, C = 1.57 inch

Hence, the circumference of the circle with half inch diameter is 1. 57 inch.

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At an airport, 76% of recent flights have arrived on time. A sample of 11 flights is studied. Find the probability that no more
I am Lyosha [343]

Answer:

The probability is  P( X \le 4 ) = 0.0054

Step-by-step explanation:

From the question we are told that

   The percentage that are on time is  p =  0.76

   The  sample size is n =  11

   

Generally the percentage that are not on time is

     q =  1- p

     q =  1-  0.76

     q = 0.24

The  probability that no more than 4 of them were on time is mathematically represented as

        P( X \le 4 ) =  P(1 ) +  P(2) + P(3) +  P(4)

=>     P( X \le 4 ) =  \left n } \atop {}} \right.C_1 p^{1}  q^{n- 1} +   \left n } \atop {}} \right.C_2p^{2}  q^{n- 2} +  \left n } \atop {}} \right.C_3 p^{3}  q^{n- 3}  +  \left n } \atop {}} \right.C_4 p^{4}  q^{n- 4}

P( X \le 4 ) =  \left 11 } \atop {}} \right.C_1 p^{1}  q^{11- 1} +   \left 11 } \atop {}} \right.C_2p^{2}  q^{11- 2} +  \left 11 } \atop {}} \right.C_3 p^{3}  q^{11- 3}  +  \left 11 } \atop {}} \right.C_4 p^{4}  q^{11- 4}

P( X \le 4 ) =  \left 11 } \atop {}} \right.C_1 p^{1}  q^{10} +   \left 11 } \atop {}} \right.C_2p^{2}  q^{9} +  \left 11 } \atop {}} \right.C_3 p^{3}  q^{8}  +  \left 11 } \atop {}} \right.C_4 p^{4}  q^{7}

= \frac{11! }{ 10! 1!}  (0.76)^{1}  (0.24)^{10} +   \frac{11!}{9! 2!}  (0.76)^2 (0.24)^{9} + \frac{11!}{8! 3!}  (0.76)^{3}  (0.24)^{8}  + \frac{11!}{7!4!}  (0.76)^{4}  (0.24)^{7}

P( X \le 4 ) = 0.0054

4 0
3 years ago
Answer to 3,4,5,6,7,8,9,10,11,12 !!
sineoko [7]
3. i=129; j=112
4.k=90;l=116;m=64;n=86
5.o=13;p=78;q=91
6.a=120;b=60;c=140
Can't see #7
You did 8 I believe
9.v=39;w=59;x=121
10.y=59;z=93
11.a=42;b=48;c=132
12.a=60;b=50;c=80;d=100
8 0
3 years ago
25 marble, 5 are red what pecent is that?​
CaHeK987 [17]

Answer:

20%

Step-by-step explanation:

To find the decimal answer, we just do 5/25 which is equivalent to 0.2

Then, we multiply 0.2 by 100 to get the percentage:

0.2*100=20

8 0
3 years ago
Gym a: $20 joining fee and $ 40 monthly charges
LUCKY_DIMON [66]

Answer:

4 months

Step-by-step explanation:

A

20 + 40(4) = 180

B

45 x 4 = 180

5 0
3 years ago
Read 2 more answers
Choose the correct slope of the line that passes through the points (-4, 8) and (-3, -6).. Answer. 0. 14. 7. -14.
Shkiper50 [21]
The slope m is found from the following formula:
m=\frac{y- y_{1} }{x- x_{1} }=\frac{8-(-6)}{-4-(-3)}=-14
The correct choice is -14.
3 0
3 years ago
Read 2 more answers
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