Answer:
x = 35°
Step-by-step explanation:
The question is as following
cos x = sin(20 + x)° and 0° < x < 90° , find X?
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cos x = sin(20 + x)°
sin and cos are co-functions,
which means that: cos x = cos [90 - (20 + x)]
∴ x = 70 - x
∴ 2x = 70
∴ x = 35°
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Note: cos θ = sin ( 90 - θ )
Answer: what do you need help with
Explanation: you never posted a problem
Answer:
B swim and dive easily , this is the answer
Answer:
p-q= -4
p=q-4
x^2 + px + q=0
=> x^2 + (q-4)x + q = 0
d= b^2-4ac
=(q-4)^2 - 4(1)(q)
= q^2 + 16 -8q - 4q
=q^2 -12q+16
given that D=16
q^2 -12q+16 = 16
=> q^2 -12q = 0
=> q^2 = 12q
=> q = 12q/q
=> q= 12
Therefore the value of q is 12 and the value of p is q-4 = 12-4= 8
Hope you understood............
Answer:
The probability that exactly 6 transactions will be made at an ATM in the next 20 minutes = 0.06306 = 0.0631 to 4d.p
Step-by-step explanation:
This is a Poisson distribution problem
The Poisson distribution formula is given as
P(X = x) = (e^-λ)(λˣ)/x!
where λ = mean = 10 transactions per 20 minutes
x = variable whose probability is required = 6 transactions in the next 20 minutes
P(X = 6) = (e⁻¹⁰)(10⁶)/6! = 0.06306
