So you add 13+5=18
Then you do 144/18=8
8x13=104 8x5=40
104+40=144✅
Answer= 104 : 40
Multiply the two probabilities together to get the answer. 3/10 ×8/10 = 24/100 or 24 %
1/2 + 3/x = 3/4
multiply everything by x
1/2x + 3 = 3/4x...subtract 1/2x from both sides
3 = 3/4x - 1/2x
3 = 3/4x - 2/4x
3 = 1/4x...multiply both sides by 4
4 * 3 = x
12 = x
Answer:
a 0
b) 0.9
c) 0.85
d) 0.25
e) 0.1
f) 0.0375
Step-by-step explanation:
a)
As A and B are two disjoints events, then P(A and B) is
P(A and B)=0
b)
As A and B are two disjoints events, then P(A or B) is
P(A or B)=P(A)+P(B)
P(A or B)=0.15+0.75=0.9
c)
P(not A)=1-P(A)
P(not A)=1-0.15=0.85
d)
P(not B)=1-P(B)
P(not B)=1-0.75=0.25
e)
P(not (A or B))=1-P(A or B)
P(not (A or B))=1-0.9=0.1
f)
P(A and (not B))=P(A)*P(not B)
P(A and (not B))=0.15*0.25=0.0375
Answer:
74.5°
Step-by-step explanation:
Hannah, the kite and Patricia form the vertices of a right-angled triangle with the hypotenuse side the length of the string L = 60 feet and adjacent side the distance between Hannah and Patricia = d = 16 feet.
Let the angle between the string and the sand be Ф.
By trigonometric ratios,
cosФ = adjacent/hypotenuse
= d/L
= 16 feet/60 feet
= 0.2667
Ф = cos⁻¹(0.2667)
= 74.53°
≅ 74.5°
So, he angle between the string and the sand is Ф = 74.5°
