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dalvyx [7]
2 years ago
6

Find the slope of the line passing through the points A(-1, 1) and B(4,-5).

Mathematics
1 answer:
SpyIntel [72]2 years ago
4 0

Answer:

is there supposed to be a picture?

Step-by-step explanation:

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A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value t
e-lub [12.9K]

Answer:

137.8

Step-by-step explanation:

3 0
3 years ago
Determine the probability of a negative result for a batch of size 10 if the positivity rate
Vlad1618 [11]

The probability of a negative result for a batch will be "0.3487".

Given values are:

Positivity rate,

  • p = 10% or, 0.1

Batch size,

  • n = 10

Now,

The probability of negative result will be:

→ P (batch \ negative) = (1-p)^n

By substituting the values, we get

→                               =(1-0.1)^{10}

→                               = (0.9)^{10}

→                               = 0.3487

Thus the answer above is right.

Learn more about the probability here:

brainly.com/question/17927863

8 0
2 years ago
Use each model to predict the life expectancy of residents of a country for which the average annual income is $80,000
Mandarinka [93]

The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393

The life expectancies of the models are given as:

y =69.9352 + 0.1530\times (income) --- model 1

y =4.2436 + 0.0021\times (income) --- model 2

y =4.1393 + 0.0603\times (income) --- model 3

Given that the average annual income is $80,000;

We simply substitute 80000 for income in the equations of the three models.

So, we have:

<u>Model 1</u>

y =69.9352 + 0.1530\times (income)

y =69.9352 + 0.1530\times 80000

y =12309.9352

<u>Model 2</u>

y =4.2436 + 0.0021\times (income)

y =4.2436 + 0.0021\times 80000

y =172.2436

<u>Model 3</u>

y =4.1393 + 0.0603\times (income)

y =4.1393 + 0.0603\times 80000

y =4828.1393

Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393

Read more about linear models at:

brainly.com/question/8609070

4 0
2 years ago
The college is selling tickets to the basketball ball game for $59.30 each.So far they have made $213,480 in ticket sales . How
Alex73 [517]

Answer:

<h2>3600</h2>

Step-by-step explanation:

Shift the decimals of both 213480 and 59.3 to the right by 2 decimal places. (This is needed to convert 59.3 to 5930, since long division must divide by a whole number.)

21348000÷5930

Therefore, 213480\div 59.3=3600213480÷59.3=3600.

3 0
3 years ago
At noon, ship A is 130 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is
Hitman42 [59]

Answer:

answer = 12.87 km/h

Step-by-step explanation:

Given

Ship A is sailing east at 25 km/h = \frac{dx}{dt}

ship B is sailing north at 20 km/h =\frac{dy}{dt}

here x and y are the  sailing at t = 4 : 00 pm for ship A and B respectively

so we get x = 4 ×25 =100 km/h

                 y = 4× 20 = 80 km/h

let z is the distance between the ships, we need to find \frac{dz}{dt} at t = 4 hr

At noon, ship A is 130 km west of ship B (12:00 pm)

so equation will be

z^2 = (130-x)^2 + y^2......................(i)\\put x = 100 and y = 80 \\\\we |  | get \\

z^2 = 30^2 + 80^2\\z =\sqrt{7300} km/h

derivative first equation w . r. to t we get

2z\frac{dz}{dt} =-2(130-x)\frac{dx}{dt}+2y\frac{dy}{dt}

\frac{dz}{dt} =\frac{1}{z}[(x -130)\frac{dx}{dt} +y\frac{dy}{dt}]

\frac{dz}{dt} = \frac{( -20\times25 + 80\times20)}{\sqrt{7300} }

     = \frac{1100}{85.44}\\  = 12.87km/h

8 0
3 years ago
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