<h3>
Answer: x = 12</h3>
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Explanation:
C is the midpoint of AB. This means AC is half as long as AB
Put another way, AB is twice as long as AC
AB = 2*AC
AB = 2*( AC )
32 = 2*( x/2 + 10 ) .... substitution
32 = 2*(x/2) + 2*10 ... distribute
32 = x + 20
x+20 = 32
x = 32-20 .... subtract 20 from both sides
x = 12
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If x = 12, then
AC = x/2 + 10
AC = 12/2 + 10
AC = 6+10
AC = 16
which is half of AB = 32, so it confirms our answer.
Your answer should be 4,719,000
Answer:
The smallest integer is -27 and the integers are -27, -26, and -25
Step-by-step explanation:
We can represent this with:
x + x - 1 + x - 2 = -78
Simplify.
3x - 3 = -78
Add 3 to both sides.
3x = -75
Divide both sides by 3.
x = -25
So, the first integer is -25.
Subtract two to get the smallest integer.
-25 - 2 = - 27
Answer:
a) The equation is:
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b) The 98% confidence interval = (5.62784, 6.37216)
Step-by-step explanation:
a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
Mean = 6 days
Standard deviation = 1.6 days
Number of samples = 100
Z score of 98% confidence interval = 2.326
Confidence interval = 6 ± 2.326 × 1.6/√100
= 6 ± 2.326 × 1.6/10
= 6 ± 0.37216
= 6 - 0.37216
= 5.62784
6 + 0.37216
= 6.37216
Therefore, the 98% confidence interval = (5.62784, 6.37216)