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Leno4ka [110]
3 years ago
12

Find the greatest common divisor of 100 and 254, using • prime factorization- • euclidean algorithm-

Mathematics
1 answer:
larisa [96]3 years ago
4 0
Via prime factorization:

100=10^2=2^2\cdot5^2
254=2\cdot127

of which the only common factor is a single power of 2, so \mathrm{gcd}(100,254)=2.

Via the Euclidean algorithm:

254=2\cdot100+54
100=1\cdot54+46
54=1\cdot46+8
46=5\cdot8+6
8=1\cdot6+2
6=3\cdot2+0

which means \mathrm{gcd}(100,254)=2, as expected.
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Find the arithmetic mean of the sales per day in a fair price shop in a week.
BabaBlast [244]

Answer:

11060.83

Step-by-step explanation:

Sum = 10000 + 10250 + 10790 + 9865 + 15350 + 10110

= 66365

No. of days (N) = 6

Arithmetic mean = Sum/ N

= 66365/6

= 11060.83

4 0
2 years ago
Read 2 more answers
PLEASE HELP WITH ALGEBRA AND SHOW WORK :) an explanation would be nice too because this topic confuses me :/
fgiga [73]

A.

f(t) = t^2 + 4t-14\\ f(t)=t^2+4t+4-18\\ f(t)=(t+2)^2-18


B.

f(x)=(x-h)^2+k \Rightarrow \text{vertex}=(h,k)\\\\ f(t)=(t+2)^2-18 \Rightarrow \text{vertex}=(-2,-18)


It's a minimum, becuase a=1>0.


C.

The axis of symmetry is x=h. So, in this case, it's x=-2.


6 0
3 years ago
Sound City sells the ClearTone-400 satellite car radio. For this radio, historical sales records over the last 100 weeks show 5
Harman [31]

Answer:

μ =2.23

\sigma_x^2= 1.49

\sigma_x=1.22

Step-by-step explanation:

Radio(x)                            weeks                           P(x)

0                                         5                                 5/100 = 0.05

1                                           27                               27/100=0.27

2                                          27                                 27/100 = 0.27

3                                         27                                 27/100 = 0.27  

4                                           9                                    9/100=0.09

5                                             5                                    5/100=0.05

We know that

Mean ,μ

\mu =\sum x.P(x)

μ = 0 x 0.05 + 1 x 0.27 + 2 x 0.27 + 3 x 0.27 + 4 x 0 .09 + 5 x 0.05

μ =2.23

\sigma_x^2= \sum x^2\times P(x)-(\sum x.P(x))^2

\sigma_x^2= 0^2\times 0.05+ 1^2\times 0.27+ 2^2\times 0.27+ 3^2\times 0.27+ 4^2\times 0.09+5^2\times 0.05-2.23^2

\sigma_x^2= 1.49

\sigma_x= \sqrt{\sigma_x^2}

\sigma_x=1.22

7 0
3 years ago
X/15 = 4<br> What does X equal?
Yanka [14]
Your answer would be 60, you can multiply 15 by 4 to get that answer. If you plug in 60 for x it will work
4 0
3 years ago
Read 2 more answers
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FrozenT [24]

Answer:

252

Step-by-step explanation:

if you go around the faces, 20*5 is 100, 20*4 is 80, 20*3 is 60, 2*3 is 6 and another 2*3 is 6. add these together

3 0
3 years ago
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