First step is to distribute.
-4a^2 - 6a +2 + 3a^2 -3
Combine like terms
-a^2 -6a -1
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:
• No
• Yes
• Yes
• No
Step-by-step explanation:
To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.
-2y +7≤ -5
Subtract 7 on both sides:
-2y≤ -5 -7
-2y≤ -12
Divide by -2 on both sides:
y≥ 6
This means that the solution can be 6 or greater than 6.
-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.
_______
Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.
Here's an example to check if -10 is a solution.
-2y +7≤ -5
When y= -10,
-2y +7
= -2(-10) +7
= 20 +7
= 27
Since 27 is greater than 5, it is <u>not</u> a solution to the inequality.
Answer:
7 and 14
Step-by-step explanation: