All categories

2 years ago

What is the equation for the linear model in the scatter plot obtained by choosing the two points to the closest line?

Mathematics

1 answer:

sergiy2304 [10]2 years ago

4 0

(4,12) (20,36)
slope = (36 - 12)/(20-4) = 24 / 16 = 3/2 = 1.5

y intercept (0,6) b = 6
equation
y = 1.5x + 6

answer
b. y = 1.5x + 6

You might be interested in

The population of Rock Springs is growing at a constant rate. The expression represents the increase in population in x years. 4

shusha [124]

The expression is given such as:
45, 200 + 1900x

We are asked to solve for the initial production, which means we have x = 0
The solution is shown below:
45, 200 + 1900*0
= 45,200 +0
=45, 200

The answer is letter "C" 45, 000.

8 0

2 years ago

The function f describes the value of a sculpture after t years. The function g describes the value of a painting by the same ar

Anna11 [10]

H(t) = f(t) - g(t)
= 500(1.2)^t - 380(1.15)^t
Taking out the greatest common factor, which is 20:
= 20[(25)(1.2)^t - (19)(1.15)^t]
This is the third choice.

Note that you cannot subtract the bases of the exponents, for example (1.2^t - 1.15^t) cannot be simplified into something like 0.05^t.

6 0

2 years ago

Read 2 more answers

Which decimal is terminating?

Elina [12.6K]

The answer is D. 0.7878

7 0

2 years ago

The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the n

wariber [46]

Answer:

Mean of the sample = 27.83

The variance of the the sample = 106.96

Standard deviation of the sample = 10.34

Step-by-step explanation:

Step(i):-

Given random sample of six employees

x 26 32 29 16 45 19

mean of the sample

$x^{-} = \frac{26+32+29+16+45+19}{6} = 27.83$

Mean of the given data = 27.83

Step(ii):-

Given data

x : 26 32 29 16 45 19

x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83

(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689

∑ (x-x⁻)² = 534.8245

Given sample size 'n' =6

The variance of given data

S² = ∑(x-x⁻)² / n-1

$S^{2} = \frac{534.8245}{6-1} = 106.9649$

The variance of the given sample = 106.9649

Step(iii):-

Standard deviation of the given data

$S = \sqrt{variance} = \sqrt{106.9649} =10.3423$

Standard deviation of the sample = 10.3423

8 0

2 years ago

martin will roll a number of cube 150 times.The number cube is labeled 1 to 6.How many times could Martin expect to roll a numbe

olga_2 [115]

So the probability of rolling a number greater than 2 is 4/6. So 4/6 times 150 should give you the answer 100.

7 0

2 years ago