Answer:
10 years.
Step-by-step explanation:
Let total age of five people be x;
x/5 = 40
x = 40*5
x = 200.
Let age of new person be y;
(200 + y)/ 6 = 35
200 + y = 210
y = 210-200
y= 10.
The age of the new person is 10.
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Answer:
d 0.5282
Step-by-step explanation:
Given the following :
Probability of getting to the bus on time = 70% = P = probability of success = 0.7
(1 - p) = probability of failure = 0.3
Number of trials(n) = 5 days
Number of sucesses (r) = atleast 4 days : >= 4
This is a binomial probability problem
P(r) = nCr × P^r × (1 - P)^(n - r)
P(X >=4) = P(4) + P(5)
P(4) = 5C4 × (0.7)^4 × (0.3)^1 = 0.36015
P(5) = 5C5 × (0.7)^5 × (0.3)^0 = 0.16807
P(4) + P(5) = 0.36015 + 0.16807 = 0.52822
Answer:
50+50
75+25
60+40
90+10
45+55
Step-by-step explanation:
Answer:
m∠b=20°
m∠c=160°
Step-by-step explanation:
∠c and the 160° angle are vertical, so they are congruent.
m∠c=160°
∠c and ∠b are supplementary, so their sum is 180°.


So, m∠b=20°.
First, fint the roots of the equation
1.

2. You can see that this equation has two different real roots. Note that you can make this statement without finding roots, only knowing the value of discriminant: since D=81>0, then the equation has two different real roots.