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statuscvo [17]
3 years ago
13

FIRST TO ANSWER WILL GET BRAINLIEST, THANKS AND 5 STAR RATING HURRRRRRYYY'

Mathematics
1 answer:
anygoal [31]3 years ago
4 0

Answer:

Mean: 41.8

Median:41

Mode:27

Range:46

Step-by-step explanation:

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2 thousands + 12 hundreds = write sum in standard form
timofeeve [1]
2000+1200=3200=thirty two hundreds
6 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
3 years ago
The sum of a number squared and 15
professor190 [17]

Answer:

x^2+15

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Karisha drew pentagon A on a coordinate grid. She then performed a rotation followed by a dilation with scale factor 5 to produc
alex41 [277]

Answer:

A.

Step-by-step explanation:

Rotation is a transformation that turns a figure about a fixed point. An object and its rotation image are the same shape and size, but the figures may be turned in different directions. So, rotation gives us two congruent pentagons.

Dilation is a transformation that produces an image that is the same shape as the original (similar to original), but is a different size. So, dilation gives us two similar pentagons.

A sequence of rotation and dilation produces pentagon that is similar to the initial, but not congruent.

In attached diagram you can see the pictorial representation:

  • pentagon FGHIJ is the rotation image of pentagon ABCDE
  • pentagon KLMNO is dilation image of pentagon FGHIJ

5 0
3 years ago
I really need help, I don't know how to do this problem I don't have many points so I cant give much-3√75^8
a_sh-v [17]

Answer:

(√ 1001129150390620( or (9.99623899 *10^ − 6)

Step-by-step explanation:

7 0
3 years ago
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