Answer:
C = 80
Step-by-step explanation:
A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.
It has 1 interesting property that should concern you: <B + <D = 180 degrees.
3x - 59 + 2x - 1 = 180 Combine like terms
5x - 60 = 180 Add 60 to both sides.
5x = 180 + 60
5x = 240
x = 240/5
x = 48
Now go to 2x + 4.
x = 48
A = 2*48 + 4
A = 96 + 4
A = 100
So C = 180 - 100
C = 80
Answer:
x=−7/5and y=−6/5
Step-by-step explanation:
Step: Substitute−2x−4foryiny=3x+3:
y=3x+3
−2x−4=3x+3
−2x−4+−3x=3x+3+−3x(Add -3x to both sides)
−5x−4=3
−5x−4+4=3+4(Add 4 to both sides)
−5x=7
−5x
−5
=
7
−5
(Divide both sides by -5)
x=−7/5
Answer:
A. 0.0049
B. Yes
Step-by-step explanation:
Sample proportion = 0.64
N = 1000
Population proportion = 0.60
We solve for standard deviation
= √p(1-p)/n
= √0.60(1-0.60)/1000
= √0.60x0.40/1000
= √0.00024
= 0.0155
A.
The probability of sample >=0.64
Z>=0.64-0.60/0.0155
Z >= 0.04/0.0155
So z >= 2.5806
Using excel this equal to 0.0049
0.0049 is probability of sample proportion being 0.64 at least.
B.
This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.
Answer:
$46.00
Step-by-step explanation:
$46.00 - $20 + $5 = $21
Yellow:blue is a ratio of 2:3, meaning that 2/5 of the desired mixture is yellow. From this, you need to find how much yellow is necessary for 20 ounces. Well, 2/5 of the 20 ounces will be yellow paint, while the other 3/5 will be blue. So she will need 8 ounces of yellow paint to get 20 ounces of the desired mixture. Hope this helps! :)
