Answer:
Between 12.614 years and 16.386 years
Step-by-step explanation:
Given that:
Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9
α = 1 -c = 1 -0.9 = 0.1
The z score of 
is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:
The margin of error (e) = 
= 
The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)
Answer:
Step-by-step explanation:
11) Profit = Selling price - purchase price - other expenses
12) Profit = Selling price - purchase price - other expenses
(after rounding off)
13) Annual interest on bond
=INterest rate on face value of bond for 1 year
14)Cost of bond
= quoted value (rate)
=3500(80.5)
=2817.50
15) Cost of bond
= quoted value (rate)
=4250(83.5)
=3548.75
Answer:
1. this is the definition of a midpoint - bc the definition of a midpoint is: “If a point is a midpoint of a segment, then it divides that segment into two congruent parts” or “If a point divides a segment into two congruent parts, then it's the midpoint of that segment.”
2. this is the division property of equality -"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal". so, in this situation we want to isolate x which means dividing both sides by 20. This will keep both sides equal just more simplified ( before, it was 20 and 100, after dividing both sides by 20 it is 1 and 5 which is the same ratio therefore they are still equal)
3. this one's the subtraction property of equality- this property means you can subtract the same number from both sides of an equation and get an equivalent equation. in this situation, they subtracted 15 from both sides to get AB = 30 and it ends being still being equal to AB + 15= 45.
4. this is the symmetric property of equality - "This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement." "it states that values are still equal no matter which side of the equal sign they're on." That's why its possible for XY=ST and ST=XY
5. this is definition of congruence - which basically states that if a value of one thing is equal to the value of another thing those two things can be called congruent.
6. this is substitution property- this is the property that allows you to substitute one value for another in an equation. the property states that if
x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation, just like what they show here with 5AB substituting for CD in the equation.
i hope this helped! im not that good at explaining so if u have more questions lmk!
Answer:
4x^2 − 4x −1 + 11 / x+1
Step-by-step explanation:
The answer is
4x^2 − 4x −1 + 11 / x+1
Answer:
Step-by-step explanation:
we know that
1 mile=63,360 inches
step 1
Find the circumference of the wheels
we have
-----> the radius is half the diameter
substitute
assume
Remember that
The circumference of the wheels represent one revolution
Convert 59 miles per hour to inches per minute
using proportion find the number of revolutions
therefore
substitute
