Answer:
The coordinates of B is (3, - 5)
Step-by-step explanation:
A(6, 1)
C(2, -7)
Coordinates of point B such that AB = 1/3 × BC
Hence we have;
Therefore BC = 3/4 × AC
Hence, AB = 1/3 × BC = 1/3 × 3/4 × AC = 1/4 × AC
AC = √((6 - 2)² + (1 - (-7))²) = √(16 + 64) = √80 = 4·√5
AB = 1/4 × 4·√5 = √5
Therefore;
AB² = (x - 6)² + (y - 1)² = 5
Slope = (1 - (-7))/(6 - 2) = 2
Hence the y coordinate of B = -7 + sin(tan⁻¹(2)) ×√5 = -5
The x coordinate of B = 2 + cos(tan⁻¹(2)) ×√5 = 3
The coordinates of B = (3, - 5)
Answer:
The function that would correctly calculate the 90% range of likely sample means is given by:
B. 4,200±CONFIDENCE.T(0.10,140,12)
Step-by-step explanation:
In Microsoft Excel, the syntax
returns the confidence interval for the population mean, using the students T-distribution.
The standard deviation is given as $140 and the sample size is 12.
In constructing the confidence interval we use:
Let us substitute the values to get:
We use the T distribution because is unknown
Answer:
(A)6
Step-by-step explanation:
Given the quadratic expression:
We factorize:
Therefore, the missing number that will complete the factorization is 6.
Answer:
d = 6t
Step-by-step explanation:
Firstly, lets change the 2 hours and 30 minutes to 2.5 hours, you could devide the time in minutes by 60 to get that number 2[hours]+()[minutes to hours] = 2.5Hours.
Anyway, John ran 15 miles in 2.5 hours which means he ran (15÷2.5) in one hour which is equal to 6miles per hour. That means if you multiply the hours he ran by 6 you will get the miles he ran.
So the answer would be:
d = 6t