Answer:
The p -value is less than 0.001.
Step-by-step explanation:
Given information:
Sample size = 25 chips
Sample mean = 985
Sample standard deviation = 10
Let as assume that sample is distributed normally.
The formula for test statistic
where,
is sample mean
μ is population mean.
s is sample standard deviation.
n is sample size.
The value of test statistic is
The p-value is
Therefore the p -value is less than 0.001.
Answer: x^2 - 14x + 49
Explanation:
1) Divide the coefficient of x by 2:
14 / 2 = 7
2) so you have to add 7^2 = 49
x^2 - 14x + 49
3) that trinomial is equivalent to:
=> (x - 7)^2
4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2
(x - 7)^2 = x^2 - 14x + 49
Then you have to add 49 to complete the square. and form a perfect square trinomial.
radius = 3 feet
rearrange the formula making r the subject
πr³ = V ( multiply both sides by 3 to eliminate fraction )
4πr³ = 3V ( divide both sides by 4π )
r³ = 
= ( 3 × 36π ) / 4π = 3 × 9 = 27
take the cube root of both sides
r = ![\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D)
= 3
Answer:
Step-by-step explanation:
Given
+ x
Multiply x by 
to create a common denominator
= + x ×
= + 
=
So the question ask to determine how long that the wooden artifact found in an ancient tombs and contains 70% of the carbon-14 was made, and base on the fact and the given data about the said artifact, the possible answer would be that the the artifact is 2948 years old. I hope you are satisfied with my answer
