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Deffense [45]
3 years ago
14

G(x) to g(x)=-[x]+3 what is the domain of g(x)?

Mathematics
1 answer:
ddd [48]3 years ago
5 0

ANSWER

(-∞,∞)

EXPLANATION

The given function is

g(x)=-[x]+3

The parent greatest integer function is

f(x)=[x]

This function has been shifted down by 3 units and reflected in the x-axis.

The domain is all real numbers.

The reason is that any x-value has a corresponding y-value.

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PLEASE HELP IM STUCK
kkurt [141]

Answer:

y= 2x + 10

Step-by-step explanation:

The variable depends on the $2 so, the green box should be 2

4 0
1 year ago
A biker travels 10 miles in two hours, what is his speed?
Alinara [238K]

Answer:

5 mph

Step-by-step explanation:

10/2 is 5 miles in one hour.

7 0
3 years ago
Read 2 more answers
The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with me
lisov135 [29]

Answer:

a) <u>0.4647</u>

b) <u>24.6 secs</u>

Step-by-step explanation:

Let T be interval between two successive barges

t(t) = λe^λt where t > 0

The mean of the exponential

E(T) = 1/λ

E(T) = 8

1/λ = 8

λ = 1/8

∴ t(t) = 1/8×e^-t/8   [ t > 0]

Now the probability we need

p[T<5] = ₀∫⁵ t(t) dt

=₀∫⁵ 1/8×e^-t/8 dt

= 1/8 ₀∫⁵ e^-t/8 dt

= 1/8 [ (e^-t/8) / -1/8 ]₀⁵

= - [ e^-t/8]₀⁵

= - [ e^-5/8 - 1 ]

= 1 - e^-5/8 = <u>0.4647</u>

Therefore the probability that the time interval between two successive barges is less than 5 minutes is <u>0.4647</u>

<u></u>

b)

Now we find t such that;

p[T>t] = 0.95

so

t_∫¹⁰ t(x) dx = 0.95

t_∫¹⁰ 1/8×e^-x/8 = 0.95

1/8 t_∫¹⁰ e^-x/8 dx = 0.95

1/8 [( e^-x/8 ) / - 1/8 ]¹⁰_t  = 0.95

- [ e^-x/8]¹⁰_t = 0.96

- [ 0 - e^-t/8 ] = 0.95

e^-t/8 = 0.95

take log of both sides

log (e^-t/8) = log (0.95)

-t/8 = In(0.95)

-t/8 = -0.0513

t = 8 × 0.0513

t = 0.4104 (min)

so we convert to seconds

t = 0.4104 × 60

t = <u>24.6 secs</u>

Therefore the time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t is <u>24.6 secs</u>

6 0
2 years ago
Jackson is 5 years old. His brother Micah is 20 years older than him. Which equation represents Micah's age in comparison with J
mina [271]

Answer:

M=5+20

Step-by-step explanation:

I’m using M for representing Micah’s age.

This would represent Micah’s age because it says that Micah is 20 years older than Jackson, who is 5. Therefore, you would just need to add 5 and 20 together. Micah is 25 years old.

8 0
3 years ago
SHOW YOUR WORK!!!!!!!!!!!!!!!!!!!!
tresset_1 [31]
Old. new
100%. 45%
x. 42
45x= 4200
x=$93.33
8 0
3 years ago
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