Answer:
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the difference between population means is:
The information provided is as follows:
The critical value of <em>z</em> for 98% confidence level is,
Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:
Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).
Answer:
exact value: 
approximate: x=0.349485
Step-by-step explanation:
Exact Value:
Approximate:
Answer:
x is less than or equal to negative 14.
Step-by-step explanation:
so for now we should pretend that the greater than or equal to is an equal sign, and simplify the problem to get x alone on a side
remove 5 from each side
-x/3=1/3-5
-x/3=14/3
multiply both sides by 3
-x=14
x=-14
so we can now replace the equal sign with the equal or greater to, so x is less than or equal to -14
<span>-6x - 2 = 40
-6x = 42
x = -7
..................</span>
Answer:
The question is asking to solve a problem that'll "add up", or in other words, makes sense; through the use of Trigonometric functions. The leaning ladder is the hypotenuse of 17ft, adjacent to that is a wall that measures 16.5ft above the ground. The angle both sides make must be <=70°. The function here is Opposite over Hypotenuse i.e 16.5/17 . We use the inverse operation of Sin which is Sin^(-1) to find if the angle is < or = to 70°. Using a calculator, we find the angle to be 76.06°, which is > more than, 70°.
Thus, the ladder will not be safe for its height and therefore won't make sense.
