Answer:
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 13 by 10 units + Two times the area of one semicircle with radius (10/2 = 5) 5 units.
![= lb + 2 \times \frac{1}{2} \pi {r}^{2} \\ = 13 \times 10 + 3.14 {(5)}^{2} \\ = 130 + 3.14 \times 25 \\ = 130 + 78.5 \\ = 208.5 \: {units}^{2}](https://tex.z-dn.net/?f=%20%3D%20lb%20%2B%202%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%20%3D%2013%20%5Ctimes%2010%20%2B%203.14%20%7B%285%29%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%20130%20%2B%203.14%20%5Ctimes%2025%20%5C%5C%20%20%3D%20130%20%2B%2078.5%20%5C%5C%20%20%3D%20208.5%20%5C%3A%20%20%7Bunits%7D%5E%7B2%7D%20)
The smallest number would be 23.
<span> Let "n" represent the smallest odd number.
So the consecutive odd integers would be:
n
n+2
n+4
Adding these 3 will give you 75.
Here's a breakdown:
n + n+2 + n+4 = 75
3n + 6 = 75
3n = 75 - 6
3n = 69
n = 69/3
n = 23
So here's how to find the consecutive numbers:
n = 23 < --- (smallest number)
n+2 = 23+2 = 25
n+4 = 23+4 = 27
So, the three consecutive odd numbers are 23, 25, 27.
23+25+27 = 75</span>
Answer:
The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:
c). Reject H0 if test statistic is greater than 1.895.
Step-by-step explanation:
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
The degrees of freedom are given by:
The p value for this case can be calculated from this probability:
The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:
c). Reject H0 if test statistic is greater than 1.895.
Answer:
y = -6x - 7
Step-by-step explanation:
y = mx + b
5 = -6(-2) + b
5 = 12 + b
b = -7
y = -6x - 7
Answer:
y = 3x + 8
Step-by-step explanation:
to find slope intercept if we have 2 points use this formula:
find the slope first: m= (y2-y1)/ (x2-x1)
after get the slope, use this formula:
y-y1 = m(x-x1)
Answer:
m= (y2-y1)/ (x2-x1)
= (2-8)/ (-2-0)= -6/-2 = 3
y-y1 = m(x-x1)
y-8 = 3 (x-0)
y = 3x + 8
hope it helps