Question:
Fill in the blank.
23 x 6 = (20 + 3) * 6
23 x 6 = _ + (3x6)
Options
20 * 6
20 * 3
20 * 5
Answer:
20 * 6
Step-by-step explanation:
Given
Expression 1: 23 * 6 = (20 + 3) * 6
Expression 2: 23 * 6 = __ + (3 * 6)
Required
Fill in the blank
From Expression 1
23 * 6 = (20 + 3)*6
Using Distributive Property; The expression becomes
23 * 6 = 20 * 6 + 3 * 6
23 * 6 = (20 * 6) + (3 * 6)
By Comparing this with expression 2
23 * 6 = __ + (3 * 6)
The blank position is occupied by 20 * 6.
Hence, the correct option that fills the missing blank correctly is 20 * 6
Answer: 
Step-by-step explanation:
The confidence interval estimate for the population mean is given by :-
, where 
is the sample mean and ME is the margin of error.
Given : Sample mean: 
The margin of error for a 98% confidence interval estimate for the population mean using the Student's t-distribution : 
Now, the confidence interval estimate for the population mean will be :-
Hence, the 98% confidence interval estimate for the population mean using the Student's t-distribution =
Answer:
The gardeners should buy 45 white hydrangeas and 104 pink hydrangeas.
Step-by-step explanation:
Let the gardeners at Middleton Place Gardens have to buy x numbers of white hydrangeas and y number of pink hydrangeas.
So, x + y = 41 {Given} ........... (1)
Again, for another flower bed they want to plant 108 hydrangeas, where the number of white ones is 2 times that of Middleton Place Gardens and the number of pink ones is 3 times that of Middleton Place Gardens.
So, 2x + 3y = 108 ........ (2)
Now, solving equations (1) and (2) we get,
3y - 2y = 108 - 82 = 26
⇒ y = 26
And from equation (1) we get,
x = 41 - 26 = 15.
So, the total number of white hydrangeas the gardeners have to buy is (x + 2x) = 3x = 3 × 15 = 45.
And the total number of pink hydrangeas the gardeners have to buy is (y + 3y) = 4y = 4 × 26 = 104. (Answer)
Answer:
C.
Step-by-step explanation:
55-6=49
49-6=43
43-6=37
etc.
Answer:
B.
R (2,4)
soln
center(h,k)=(6,1)
radius (r)=5units
so
eqn of circle is (x-6)^2+(y-1)^2=5^2
2 2
or, 25=x +y -12x-2y+36+1 now , only the given point (6,1)satisfies the eqn so this point lies on circle
