Answer:
x =7.62
Step-by-step explanation:
Using Pythagoras Theorem:
a² + b² = c²
7² + 3² = x²
x² = 49 + 9
x = √58 .......in radical form
x =7.62 .....in 2 decimal form
x = 7.6 ......in nearest tenth place
Answer: y=4x
Step-by-step explanation:x y
0 0
1 4
2 8
3 12
From the above data:
we can say that y varies directly with x.
Direct variation states that if y is expressed as the product of some constant number k and x.
i.e y=kx
Y=-3x+8
when x=-2:
y=-3(-2)+8
y=6+8
y=14
when x=0
y=-3(0)+8
y=0+8
y=8
when x=2
y=-3(2)+8
y=-6+8
y=2
Answer:
42 divided by 2
Step-by-step explanation:
That will give you 21.
Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
