Answer:
10 degrees
Step-by-step explanation:
sdfsdfs
You calculate this using the Cosine Rule
x^2 = 60.5^2 + 226^2 - 2*60.5*226 cos 39
= 33484.42
x = 182.98
He threw the ball approximately 183 feet.
Answer:
H
Step-by-step explanation:
Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 1 over 32
1
3
= ( 2 × 3 ) over 3
2 × 3
3
+ 1 over 3
1
3
= ( 6 + 1 ) over 3
6 + 1
3
= 7 over 3
7
3
Step 1 of 2: Subtract, sub-step c: Find common denominator.
Find common denominator
32 over 9
32
9
− 7 over 3
7
3
= ( 32 × 1 ) over ( 9 × 1 )
32 × 1
9 × 1
− ( 7 × 3 ) over ( 3 × 3 )
7 × 3
3 × 3
= 32 over 9
32
9
− 21 over 9
21
9
9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step d: Subtract.
Subtract
32 over 9
32
9
− 21 over 9
21
9
= ( 32 − 21 ) over 9
32 − 21
9
= 11 over 9
11
9
Step 1 of 2: Subtract.
Step 2 of 2: Simplify.
Simplify
11 over 9
11
9
= 1 and 2 over 91
2
9
Answer:
Expected revenue from the single trip is $ 13.14
Step-by-step explanation:
y
p(x,y) 0 1 2 g(x)
x 0 0.025 0.015 0.010 0.05
1 0.050 0.030 0.020 0.1
2 0.115 0.075 0.050 0.24
3 0.150 0.090 0.060 0.3
<u>4 0.100 0.060 0.040 0.2 </u>
h(y) 0.325 0.27 0.18
E (x+Y) = E(X) +E(Y)
E(X)= ∑ xi g(x)i
= ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)
= 0 + 0.1+ 0.48 + 0.9+0.8
=2.28
E(Y)= ∑yi h(y)
= (0* 0.325) + (1*0.27) + (2*0.18)
= 0 +0.27+ 0.36
= 0.63
E (x+Y) = E(X) +E(Y)
= 2.28 + 0.63
= 2.91
But the equation is 3x+ 10y
E(3x+ 10y)= 3E(x) + 10 E(y)
= 3(2.28) + 10 (0.63)
= 6.84 +6.3
= 13.14
Expected revenue from the single trip is $ 13.14
