Answer:
Correct answer: C (6.5 , - 8)
Step-by-step explanation:
Given points A(-1,-2) and B(9, -10)
The formula by which we calculate the coordinates of a point, let be C, that divides the line segment in the given ratio is.
Xc = (Xa + λ · Xb) / (1 + λ) and Yc = (Ya + λ · Yb) / (1 + λ)
Where λ is the coefficient which depends on the direction of the ratio in this case is:
λ = 3 : 1 = 3
Xc = (-1 + 3 · 9) / (1 + 3) = (-1 + 27)/ 4 = 26 / 4 = 6.5
Xc = 6.5
Yc = (-2 + 3 · (-10) / (1 + 3) = (-2 - 30)/ 4 = -32 / 4 = - 8
Yc = - 8
God is with you!!!
The length of each side of the larger square is 8 cm.
<u>Step-by-step explanation</u>:
Step 1 ;
- The combined area of two squares = 80 sq.cm
- The side of small square = x
- The side of larger square = 2x
Step 2 :
Area of the square = a^2
Area of small square + area of large square = 80
x^2 + (2x)^2 = 80
x^2 + 4x^2 = 80
5x^2 = 80
x^2 = 80/5
x^2 = 16
x = ±4
Step 3 :
Since length cannot be negative, the value of x= 4
∴ The length of the side of small square = 4cm
The length of the side of larger square = 2x = 8cm
Answer:
• you have correctly identified the radius as 157 miles
• 77,398 square miles is the coverage area
Step-by-step explanation:
The area of a circle is given by the formula ...
A = π·r^2
Filling in your numbers and doing the arithmetic, we get ...
A = 3.14·(157 mi)^2 = 77,397.86 mi^2
The area is approximately 77,398 square miles.
No, it is not a linear equation.
Answer:
Since the calculated value of t =-0.427 does not fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
Step-by-step explanation:
The given data is
Difference d= -24 -12 -55 -15 -30 -60 -14 -21 -48 -12 -25 -53 -61 -69 -80
∑ d= -579
∑d²= 29871
1) Let the hypotheses be
H0: ud= 25 against the claim Ha: ud ≠25
H0 : mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
Ha: mean difference in the age of onset of symptoms and age of diagnosis is not 25 months.
2) The degrees of freedom = n-1= 15-1= 14
3) The significance level is 0.05
4) The test statistic is
t= d`/sd/√n
The critical region is ║t║≤ t (0.025,14) = ±2.145
d`= ∑di/n= -579/15= -38.6
Sd= 23.178 (using calculators)
Therefore
t= d`/ sd/√n
t= -38.6/ 23.178√15
t= -1.655/3.872= -0.427
5) Since the calculated value of t =-0.427 does not fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the age of onset of symptoms and age of diagnosis is 25 months .