Answer:
m=5
Step-by-step explanation:
c=30m+50
c=20m+100
substitute
20m+100=30m+50
like terms
100-50=30m-20m
50=10m
m=5
Answer:
1 out of 6 for green die and 1 out of 6 for red die
Step-by-step explanation:
As we know there are six numbers on both of the dices
so if we toss a die there is a 1 out of 6 outcomes that a 4 comes out for the green die and 1 out of 6 outcomes again for the red die
Answer:
a

b

Ca
Cb
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
Generally the sample mean is mathematically represented as

=> 
=> 
Generally the margin of error is mathematically represented as

=> 
=> 
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
=>
The sample size is n = 22
Given that the sample size is not sufficient enough i.e
we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as

=> 
=> 
Generally from the student t distribution table the critical value of
at a degree of freedom of 21 is
Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
AC is a common side, ∠ACD = ∠ACB and CD = BC ⇒ ΔACD and ΔABC <span>are congruent (SAS definition).
</span>Congruent triangles have exactly the same three angles, so ∠D = ∠B.<span>
</span>
Answer:
4π/3 square units
Step-by-step explanation:
Triangle XYZ is equilateral,
The central angle of the sector is 120°, or 2π/3 radians.
The area of a sector of central angle β is given by
.. A = (1/2)r^2*β . . . . . . β in radians
.. A = (1/2)*2^2*(2π/3) = 4π/3 square units