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Kisachek [45]
3 years ago
12

What is an equation in point-slope form for the line that passes through the points (−3,5) and (2,−3)?

Mathematics
1 answer:
fredd [130]3 years ago
4 0
(-3,5). (2,-3)
x1,y1. x2,y2

y2-y1. -3-5. -8
--------- = ------- = ----- =8 =m
x2-x1. 2-3. -1

plug the rest in

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A=?<br><br> b=?<br><br> C =?<br><br> Can someone tell me the answer please
beks73 [17]

Answer:

Below.

Step-by-step explanation:

a = 37 degrees ( vertical angle to 37 )

c = 180 - 37 = 143 degrees (adjacent angles add up to 180).

b = 180 - 37 - 109 = 34 degrees   (angles in a triangle sum to 180 degrees).

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2 years ago
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Using the figure below, write the ratio for tan (C).<br> А<br> 25<br> C<br> 7<br> 24<br> B
miv72 [106K]

Answer:

come have it with me

Step-by-step explanation:

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3 years ago
How do you solve n-8=17​
Alexxandr [17]

Answer:

n = 25

Step-by-step explanation:

Add  to both sides.

n = 17 + 8 = 25

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3 years ago
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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

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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
What is the interquartile range (IQR) of the data set represented by this box<br> plot?
Zinaida [17]

Answer:

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Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile.

The upper quartile is the right side value of the box

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upper quartile = 61 and lower quartile = 39

IQR = 61 - 39 = 22 → B

7 0
3 years ago
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