Answer:
Step-by-step explanation:
80 x 4 = 79+81+77+x
320=237 + x
320-237 = x
83=x
so Marianne must score 83 points or higher on her last test
binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22
(assuming children are independent and male and female are equally likely)
| probability
less than 16 boys | 0.9534
16 or less boys | 0.9827
more than 16 boys | 0.01734
16 or more boys | 0.04657
fraction of boys | 16/(16 + 7) ≈ 0.695652
fraction of girls | 7/(16 + 7) ≈ 0.304348
expected value | 11.5
standard deviation | 2.398
variance | 5.75
11.5
Answer:
875 calories
Step-by-step explanation:
100%=2500calories
35% represents veggies
35*2500=87500÷100=875
875calories
We have been given a right angled triangle, hypotenuse is known, and angle has been given. we need to find the adjacent side to the angle.
we use trigonometry ratios.
the ratio where we relate the hypotenuse and adjacent side is the cosine.
cos θ = adjacent side / hypotenuse
where θ = 39°
hypotenuse - 17 m
adjacent side - x
we need to solve for x
cos 39° = x / 17
cos 39° = 0.77
0.7771 = x/17
x = 0.7771 x 17
x = 13.21 m
distance from Roman's feet to the base of the pole is 13.21
