Answer:
59.0°
Step-by-step explanation:
Many triangle solvers are available for your phone, tablet, or browser. The attachments show the input and output of one of them.
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You can use the law of cosines to compute the result yourself.
b^2 = a^2 + c^2 - 2ac·cos(B)
cos(B) = (a^2 +c^2 -b^2)/(2ac) = (22^2 +18^2 -20^2)/(2·22·18) = 408/792
B = arccos(408/792) ≈ 58.9924° ≈ 59.0°
Answer:
$47
Step-by-step explanation:
Create a system of equations where s is the cost of a shirt and t is the cost of a tie:
s + t = 64
s = t + 30
Solve by substitution by substituting (t + 30) into the first equation as s:
s + t = 64
(t + 30) + t = 64
Add like terms and solve for t:
2t + 30 = 64
2t = 34
t = 17
Then, plug in 17 as t into one of the equations to find s:
s = t + 30
s = 17 + 30
s = 47
So, the cost of the shirt is $47
Answer:
Step-by-step explanation:
Given that a loan company knows that 5% of its loans will be delinquent.
since each loan is independent of the other p , probability for any random loan to be delinquent is constant 0.05
X no of delinquent loan accounts is binomial with n =400 and p = 0.05
Since n is very large and also np = 20 and nq >5 we can approximate to normal
Mean = np = 20 : Variance = npq = 19
Std dev = 4.36
X is N(1, 4.36)
With continuity correcton we calculate the prob
a) that exactly 25 accounts will be delinquent?
=
b) that fewer than 30 accounts will be delinquent?
=P(X<29.5)
= 0.9854
c) more than 24 accounts will be delinquent
=P(X>24,5)
=0.1509
Answer:80
Step-by-step explanation: and its ok if its not 71 points