the answers as follows
a) 16 b) 13 c) 16 d) 46 e) -630 f) 18 g) -32 h) 50 i) -6 j)38 l)61
Step-by-step explanation:
a) p + 9 = 7 + 9 = 16
b) p - s = 7 - (-4) = 7 + 4 = 13
c) r - q = 10 - (-6) = 16
d)q + 52 = -6 + 52 = 46
e) pqr = 7 X (-6) X 10 = -630
f) r + 8 = 10 + 8 = 18
g) pq + r = 7 X (-6) + 10 = -42 + 10 = -32
h) r - qs = 10 - (10 X (-4))= 10 + 40 = 50
i) 3r + 6q = 3 X 10 + 6 X (-6) = 30 - 36 = -6
j) 59 - 3p = 59 - 3 X 7 = 59 - 21 = 38
k) check your question
l) 4q + 85 = 4 x (-6) + 85 = -24 + 85 = 61
Answer:
a) 0.145
b) 0.013
c) 0.783
d) 0.586
Step-by-step explanation:
a) there are always 52 cards in total, 13 hearts
Pa = 39/52 × 38/51 × 13/50 = 19266/132600 = 257/1700 =0.145
b) there are always 13 diamonds in a complete card
Pb = 13/52 × 12/51× 11/50 = 11/850 = 0.013
c) there are always 4 aces, and 48 that are not aces
Pc = 48/52 × 47/51 × 46/50 = 4324/5525 = 0.783
d) there are 13 hearts,to get at least one heart we have.
Pd = 1 - p
Where p is the probability of no hearts
p = 39/52 × 38/51 × 37/50 = 703/1700 = 0.414
Pd = 1 - 0.414
Pd = 0.586
I do believe that the answer to your question is 60%
Answer:
215.20 ft^2
Step-by-step explanation:
The figure has 2 semi-circles.
First we find the area of each circle using the formula
because that is the area formula for a circle.
The semi-circle to the left gives the diameter which is 22 feet. The radius would be half the diameter thus r=11 for semi-circle one.
Then we are to find the diameter of the second semi-circle. Given the entire length to be 30 feet, 30-22 leaves us with 8 feet as its diameter thus r=4.
Left: r=11
Right: r=4
Then, plugging both into the formula for area of a circle, we get
Left: 380.1327
Right: 50.26548
We must divide each by two because we are only looking for semi-circle which is exactly half the area of a full circle.
Then,
Left: 190.066
Right: 25.1327
190.066+ 25.1327= 215.199 = 215.2ft^2