Answer:
The value of the tangent of ∠H to the nearest hundredth is 41.11⁰
Step-by-step explanation:
Given;
∠J=90°
JI = 48
IH = 73
HJ = 55
If we sketch this triangle, we will observe that ΔHIJ is a right angled triangle, with hypotenuse as "IH", opposite as "JI" and adjacent as "HJ".
To determine the value of the tangent of ∠H, we apply the following formula;
Therefore, the value of the tangent of ∠H to the nearest hundredth is 41.11⁰
For the answer to the question above the probability of exactly x successes is
P(X=x)=b(x;n,p) = (nCx)(p^x)((1-p)^(n-x))
where nCx is number of combinations of n things taken x at a time, and "^" means exponentiation.
n = 10
p = 0.2
P(X=7) = 10C7*(0.2^7)*(0.8^3) = 0.00079
P(X=8) = 10C8*(0.2^8)*(0.8^2) = 0.00007
P(X=9) = 10C9*(0.2^9)*(0.8^1) = 0.00000
P(X=10) = 10C10*(0.2^10)*(0.8^0) = 0.00000
.00079 + .00007 + 0 + 0 = .00086 = .0009 rounded
Answer: 
Step-by-step explanation:
This problem can be solved by the <u>Rule of Three</u>, which is a mathematical rule to find out an amount that is with another quantity given in the same relation as other two also known.
In this case, the 25 ounce drink represents the 
. So, if Mark drinks 5 ounces, this means he has 20 ounces left and we have to find the percent this represents:
------- 
-------- 
This is the percent of the drink Mark has left
Answer:
Step-by-step explanation:
66 mile per hour .
Answer:
1000%
Step-by-step explanation:
c=10d,
3c will become 3*10d=30d
d is 10 times to c which converts to 1000%
