Answer:
True
Step-by-step explanation:
If the triangle was a right angled triangle then we can prove it using the Pythagoras theorem: c² = a² + b²
c is the largest side and a and b are the two smaller sides of the triangle.
So if this is true then √72² + 154² should be 170:
170² = 72² + 154²
28900 = 5184 + 23716
28900 = 28900
So we have proved using Pythagoras theorem that the triangle is a right angled triangle.
The regression equation is (d) log(y) = 0.064x + 1.706
<h3>How to determine the regression equation?</h3>
The table of values is given as:
x 2 3 4 5 6
y 73 77 85 101 133
Calculate the logarithm of the y values.
So, we have:
x 2 3 4 5 6
log(y) 1.86 1.89 1.93 2 2.12
Next, we enter the above values in a regression calculator.
From the calculator, we have the following summary:
- Sum of X = 20
- Sum of Y = 9.8
- Mean X = 4
- Mean Y = 1.96
- Sum of squares (SSX) = 10
- Sum of products (SP) = 0.63
The regression equation is then represented as:
log(y) = bx + a
Where:
b = SP/SSX = 0.64/10 = 0.064
a = MY - bMX = 1.96 - (0.064*4) = 1.706
So, we have:
log(y) = 0.064x + 1.706
Hence, the regression equation is (d) log(y) = 0.064x + 1.706
Read more about regression at:
brainly.com/question/17844286
#SPJ1
Answer:
Step-by-step explanation: Round to the nearest whole number. In order to find the standard deviation, we first have to calculate the mean (average) of the numbers. To get this we add all the numbers together and then divide by 12 since there are 12 numbers. The mean = 782. Next, we take each number and subtract the mean, taking the result and squaring it.
Grouping method works best on this one:
<span>ab+a+4+4b=a<span>(b+1)</span>+4<span>(b+1)</span></span>
<span>=<span>(a+4)</span><span>(b+1<span>)
</span></span></span>
In order to do this, we multiply both sides be the amount that would make the left side equal to 1. This number is the reciprocal of the fraction, so we multiply both sides by 3/2. This is equal to:
w = 9/8
So, the blueberries in crystal's basket will weigh 9/8 pounds when it is full.
Your welcome!