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Sauron [17]
3 years ago
15

Find the distance between points C(-1, -1) and D(6, 2) to the nearest tenth.

Mathematics
1 answer:
givi [52]3 years ago
8 0

Answer:

≈ 7.6

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (6, 2)

d = \sqrt{(6+1)^2+(2+1)^2}

  = \sqrt{7^2+3^2}

  = \sqrt{49+9}

  = \sqrt{58} ≈ 7.6 ( to the nearest tenth )

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anzhelika [568]

Answer:

Lucey reads 10 pages fewer than Carey.

4 0
3 years ago
What are 2 equivalent ratios to 27:9?​
Andrei [34K]

Answer:

3:1

54:18

Step-by-step explanation:

You can divide both sides by 9 to get one ratio:

27/9:9/9

3:1

You can also multiply both sides by 2 to get another ratio:

27(2):9(2)

54:18

8 0
3 years ago
For each graph below, state whether it represents a function.
valina [46]
Graph 1 and 3 are the only functions
6 0
3 years ago
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
Plzzz help I will mark Brainlyest
Katyanochek1 [597]

Answer:

6

Explanation:

the sum of all four angles in a quadrilateral is 360°. thus, to find the angle ∠JML, we need to subtract the values of the other angles from 360° as such:

360° - 66° - 74° - 110° = 110°

the total value of angle ∠JML is 110°.

now, since ∠JML is equal to 17x + 8, we can subtract 8° from 110° to get 102°. following that, we can divide 102° by 17 which yields us the result of 6. hence, we now know that <u>x = 6</u>.

7 0
2 years ago
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