Answer:
The Trout will have to jump 49 cm in order to catch the insect
Step-by-step explanation:
Here, we want to calculate the distance the Trout has to jump in order to catch the Insect
To calculate this, we need to know the difference in the distances
From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake
The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;
17 + 32 = 49 cm
Answer:
x=4
Step-by-step explanation:
If all the figures are similar, we'll have to shrink them at the same rate as the rest.
The ratio here is 2/5. So,
2/5 = 6.4/16
2/5 = x/10
x=4
To answer this
problem, we use the binomial distribution formula for probability:
P (x) = [n!
/ (n-x)! x!] p^x q^(n-x)
Where,
n = the
total number of test questions = 10
<span>x = the
total number of test questions to pass = >6</span>
p =
probability of success = 0.5
q =
probability of failure = 0.5
Given the
formula, let us calculate for the probabilities that the student will get at
least 6 correct questions by guessing.
P (6) = [10!
/ (4)! 6!] (0.5)^6 0.5^(4) = 0.205078
P (7) = [10!
/ (3)! 7!] (0.5)^7 0.5^(3) = 0.117188
P (8) = [10!
/ (2)! 8!] (0.5)^8 0.5^(2) = 0.043945
P (9) = [10!
/ (1)! 9!] (0.5)^9 0.5^(1) = 0.009766
P (10) = [10!
/ (0)! 10!] (0.5)^10 0.5^(0) = 0.000977
Total
Probability = 0.376953 = 0.38 = 38%
<span>There is a
38% chance the student will pass.</span>
2⃣, -4⃣ = x; no radical necessary.
Answer:
-39 2/3
Step-by-step explanation:
t - 122= 2t - 3
subtract 't' from each side to get:
-122 = 3t - 3
add 3 to each side to get:
-119 = 3t
divide each side by 3 to get:
t = -39 2/3
