Answer:
11
Step-by-step explanation:
Answer:
1/ 3
Step-by-step explanation:
If each of the cards is turned over, the probability of picking up a card of one type P(E) becomes equal to:
=> P(E) = number of cards of the required type/ total number of cards
● Total number of spades( ♤ ) = 3
{the queen, one ace and the nine are all spades}
● Total number of cards = 6
Probability of drawing a spade= 3/ 6
= 1/ 2
● Total number of "7" = 1
● Total number of cards = 6
Probability of drawing a 7
= 1/ 6
Now, what's asked is the difference in the probabilities of drawing a spade and a seven.
= 1/ 2 - 1/ 6
= 3/ 6 - 1/ 6
= 2/ 6
= 1/ 3
Hence, 1/ 3 of a greater chance of drawing a spade over a 7.
Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:
Note that in general a quadratic equation is such that:
In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:
Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:
Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.
Answer:
Step-by-step explanation:
I got 1 11/20.
hope this helps
Answer:
the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is <em>0.125</em>.
Step-by-step explanation:
The given information is:
- length of the hour hand, l = 6 inches
- length of the minute hand, b = 8 inches
Therefore, since the tip of the minute moves from 12 to 3, it moved a distance of:
s₁ = r θ
s₁ = (8)(π/2)
s₁ = 4π inches
The hour hand moves 30 degrees / 60 = 1/2 degree in a minute.
Therefore, in 30 minutes the hour hand moves a distance of:
s₂ = r θ
s₂ = 6(30×1/2×π/180)
s₂ = π/2 inches
Therefore, the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is:
s₂ / s₁ = (π/2) / 4π
<em>s₂ / s₁ = 0.125</em>
