Yousef is making cookies for a friend's birthday. The recipe only makes one dozen cookies, and he wants to take 4 dozen to the b
irthday
party. If he needs 1 cups of flour to make one dozen, how much flour will he need to make 4 dozen? Simplify your answer and write it as
a mixed number
party. If he needs 1 cups of flour to make one dozen, how much flour will he need to make 4 dozen? Simplify your answer and write it as
a mixed number
1 answer:
You might be interested in
Answer:
(- 2, 15 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = 3x² - 2x - 1 → (1)
2x + y = 11 → (2) ← subtract 2x from both sides
y = 11 - 2x → (3)
Substitute y = 3x² - 2x - 1 into (3)
3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± = ± 2
Substitute these values into (3) for corresponding values of y
x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )
x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )
Answer:
The sum of two even numbers is even and greater than the addends.
Step-by-step explanation:
Let 2n and 2m be two even numbers.
The sum of these numbers is
Use distributive property:
This number is even because 2 is its factor.
Note that
Thus, correct option is:
The sum of two even numbers is even and greater than the addends.
Answer with explanation:
The 90% confidence interval (51%, 61%) for proportion means that the proportion of getting heads lie in it.
Given : Total number of times coin is tossed = 250
Number of times they got head =140
The probability of getting a head = 0.56
The confidence interval for proportion is given by :-
Given significance level :
Critical value :
Now, the 90% confidence interval for proportion will be :-
Hence, the given confidence interval is correct.