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2 years ago

What is the slope of the line graphed in the coordinate grid?

Mathematics

1 answer:

zvonat [6]2 years ago

5 0

Answer:

3/4

Step-by-step explanation:

I drew a slope triangle and found the slope by finding the distance between two points on the line.

$vertical distance/horizontal distance$

Hope this helped!

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How do you square a scale factor? DONT COPY OFF GOOGLLE

Alinara [238K]

you have to find the scale factor by its length

how to : scale factor = dimension of the new shape ÷ dimension of the original shape

but if it is scaled then do

scale factor = larger figure dimensions ÷ smaller figure dimensions

3 0

1 year ago

What is the image of (6,-2) under the translation (x,y) (x-5,y-8)

german

The new point would then be at (1, -10)

6 0

2 years ago

find the dimensions of the sports field at the right if the width is at least 60 yards AREA = 240 - 400X SQUARE YARDS

charle [14.2K]

Answer:

The dimensions of the sports field are 80 yards and 3 - 5x yards

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Width of the sports field = At least 60 yards

Area of the sports field = 240 - 400x square yards

We can conclude the shape of the sports field is rectangular.

2. Find the dimensions of the sports field.

A. We need to find the Greatest Common factor between 240 and 400, this way:

The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 .

The factors of 400 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 .

Then the greatest common factor is 80.

This GCF is also higher than 60, therefore it's one of the dimensions of the sports field.

Now, we calculate the other side of the sports, this way:

Second dimension of the sports field = (240 - 400x)/80

Second dimension of the sports field = 3 -5x

The dimensions of the sports field are 80 yards and 3 - 5x yards

8 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) 0.4647

b) 24.6 secs

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 = 0.4647

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

Now we find t such that;

p[T>t] = 0.95

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 = 24.6 secs

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 24.6 secs

6 0

2 years ago

What common base can be used to rewrite each side of the resulting equation? 2 4 16 32

Scorpion4ik [409]

Answer:2

Step-by-step explanation:

6 0

2 years ago

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