The value of x is 5
Explanation
Given <ACD=2x+4
<ACB=5x-11
Given that ABCD is a rhombus. So the opposite angles will be same and all the sides will be equal.
diagonal AC divides the rhombus into two triangles ACD and ACB
according to angle sum property, the sum of all angles of a triangle is 180.
consider triangle ACD
Answer:
3x
Step-by-step explanation:
gradient is slope.
rise/run = 3/1x = 3x
Glenn made 16 muffins- 1/4 of 16= 4 muffins with nuts
Catrina made 15 muffins- 1/3 of 15= 5 muffins with nuts
Lisa made 18 muffins- 1/3 of 18= 6 muffins with nuts
Meg made 18 muffins- 1/2 of 18= 9 muffins with nuts
4+5+6+9= 24
Subtract 87-24= 60
Wayne made 60 muffins- 1/4 of 60= 15 muffins with nuts
4+5+6+9+15= 39 muffins with nuts in all
Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:
P(X) = .
P(20) =
P(20) =
P(20) = 0.0552
To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:
n . p = 53*0.3 = 15.9
n.(1-p) = 53(1-0.3) = 37.1
Since both ARE greater than 5, normal distribution can be used.
To approximate:
mean = n . p = 15.9
standard deviation = = 3.34
Find the z-score:
z = =
z-score = 0.8907
Comparing values:
0.8907 - 0.0552 = 0.8355
[ ( |500,000-700,000| ) / 500,000 ] * 100 = 40%