Answer:
The linear regression model is 
.
Step-by-step explanation:
The given data points are (-6 4) (-4 0) (-3 -2) (-1 -7). Plot these points on a coordinate plane.
From the graph it is clear that the point are in the form of a straight line, so we need to use the linear regression model.
The general linear regression model is
Using technology we get
Put a=-2.19 and b=-8.92 in the above equation.
Therefore the linear regression model is .
Answer:
x = 7.99 cm
Step-by-step explanation:
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(AC)cosC
Substitute the measures of the sides and the angle in this formula,
x² = 6² + 10² - 2(6)(10)cos(53°)
x² = 36 + 100 - 72.217
x² = 63.782
x = √(63.782)
x = 7.99 cm
The required probability of the coin landing tails up at least two times is 15/16.
Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.
<h3>What is probability?</h3>
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
In the given question,
let's approach inverse operation,
The probability of all tails = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
= 1 - 8 / 128
= 120 / 128
= 15 / 16
Thus, the required probability of the coin landing tails up at least two times is 15/16.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
Answer:
x = - 
Step-by-step explanation:
Given
(x + 5 
) = 
Multiply both sides by 8 to clear the fractions
6(x + 5 ) = 5 ← distribute parenthesis on left side
6x + 33 = 5 ( subtract 33 from both sides )
6x = - 28 ( divide both sides by 6 )
x = 
= -
Answer:
False, there are actually infinite solutions as these are parallel lines.
Step-by-step explanation:
