Answer:
(a) 1/2
(b) 9/10
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
(a) Number of possible outcomes = 5 questions, number of total outcomes = 10 questions
Probability (I answer all 5 problems correctly) = 5/10 = 1/2
(b) Probability (I answer at least 4 of the problems correctly) means I either answer 4 of the problems or all 5 problems correctly = 4/10 + 5/10 = 9/10
Answer:
x = 10√3
Step-by-step explanation:
Because of the right angles, we can use Pythagoras
30² - x² = y² (a) Largest triangle
y² - 20² = h² (b) Medium triangle
substitute y² from (a) into (b)
30² - x² - 20² = h²
500 - x² = h² (d)
x² - h² = (30 - 20)² (c) smallest triangle
substitute h² from (d) into (c)
x² - (500 - x²) = 100
2x² = 600
x² = 300
x = 10√3
Answer:
Step-by-step explanation:
all we have to do is plug in 2 for x into the equation:
-8(2) + 5 -2(2) -4 + 5(2)
-16 + 5 -4 -4 + 10
-11 -8 + 10
-19 + 10
the answer is
-9
to simplify the equation we’ll combine like terms
-8x + 5 -2x -4 + 5x
-10x + 1 + 5x
-5x + 1
now we’ll plug in 2 for x
-5(2) + 1
-10 + 1
the answer is still
-9
the rectangle is but the line is not because the line has to have another side !
Answer:
9.426 units
Step-by-step explanation:
Given data
Diameter= 3 units
Radius= 1.5 units
The circumference is given as
C=2πr
C=2*3.142*1.5
C=9.426 units
Hence the circumference is 9.426 units
