Answer:
Y = - 12.55X1 + 276.52
Step-by-step explanation:
Given the data:
Age of child :(X) : 4, 6, 10, 13, 14, 17
Time (seconds) (Y) : 230, 205, 132, 119, 108, 62
Using technology, the linear regression equation obtained using the data Given is :
Y = - 12.55X1 + 276.52
Where :
Slope = - 12.55
Intercept = 276.52
This also indicates that a negative slope is present and hence a negative relationship between age of Child and time in seconds.
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
The ratio here is
3/4 cup milk 6 cups milk
-------------------- Now equate this to -----------------
1 beaten egg x
Solving this equation, (3/4)x = 6, and x = 8 (eggs) (answer)
Check: Note that 3/4 / 1 = 6 / 8
Answer:
In the movie, Tweedledee and Tweedledum and the talking flowers are incorporated into the original plot from Alice's Adventures in Wonderland. In the book, Alice eats little cakes in the White Rabbit's house to become smaller. In the movie, Alice eats carrots from The White Rabbit's garden to become smaller.
Step-by-step explanation:
