According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.
<h3>What is linear regression?</h3>
Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.
- Time (minutes X) 0, 0.5,1.0, 1.5, 2.0,2.5,3.0, 3.5, 4, 4.5.
- Temperature (° Celsius Y) 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.
The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,
- The mean of time value, 2.25.
- The mean of temperature value 88.05
- Sum of squares 20.625
- Sum of products 93.625
The regression equation for this data can be given as,
![\hat y=4.53939 X+77.83636](https://tex.z-dn.net/?f=%5Chat%20y%3D4.53939%20X%2B77.83636)
Put the value of temperature (y) 100 in this equation.
![100=4.53939 X+77.83636\\X=\dfrac{100-77.83636}{4.53939}\\X\approx 5](https://tex.z-dn.net/?f=100%3D4.53939%20X%2B77.83636%5C%5CX%3D%5Cdfrac%7B100-77.83636%7D%7B4.53939%7D%5C%5CX%5Capprox%205)
Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.
Learn more about the regression here;
brainly.com/question/25226042
Answer:
8.15
Step-by-step explanation:
Answer:
h = 7.1 cm
Step-by-step explanation:
To find the height of the triangle, we can first find the area of the triangle using the Heron's formula:
![S = \sqrt{p(p-a)(p-b)(p-c)}](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7Bp%28p-a%29%28p-b%29%28p-c%29%7D)
Where a, b and c are the sides of the triangle and p is the semi perimeter of the triangle:
![p = \frac{a+b+c}{2} = \frac{15 + 8 + 17 }{2} = 20\ cm](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7Ba%2Bb%2Bc%7D%7B2%7D%20%3D%20%5Cfrac%7B15%20%2B%208%20%2B%2017%20%7D%7B2%7D%20%3D%2020%5C%20cm)
So the area of the triangle is:
![S = \sqrt{20(20-15)(20-8)(20-17)}](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7B20%2820-15%29%2820-8%29%2820-17%29%7D)
![S = 60\ cm^2](https://tex.z-dn.net/?f=S%20%3D%2060%5C%20cm%5E2)
Now, to find the height, we can use the following equation for the area of the triangle:
![S = base * height/2](https://tex.z-dn.net/?f=S%20%3D%20base%20%2A%20height%2F2)
The height draw in the figure is relative to the side of 17 cm, so this side is the value of base used in the formula. So we have that:
![60 = 17 * h/2](https://tex.z-dn.net/?f=60%20%3D%2017%20%2A%20h%2F2)
![h = 120/17](https://tex.z-dn.net/?f=h%20%3D%20120%2F17)
![h = 7.06\ cm](https://tex.z-dn.net/?f=h%20%3D%207.06%5C%20cm)
Rounding to the nearest tenth, we have h = 7.1 cm
Answer:
Zeroes: x=4, x=-1/2, and x=6
Step-by-step explanation:
Use Synthetic Division where x-4=0 to find another factor:
4 | 2 -19 +38 +24
<u> ___8_-44_-24</u>
2 -11 -6 | 0
So far, your two factors are x-4 and 2x^2-11x-6.
We can actually factor 2x^2-11x-6 into (2x+1)(x-6), so we have three factors which are (x-4), (2x+1), and (x-6)!
By the Zero Product Property, x=4, x=-1/2, and x=6 are your zeroes.
132-cm is her heigth. I figured this out by dividing 264 by 2 and I got 132-cm