Answer:
>=
Step-by-step explanation:
since the shaded area is above the line y must be > or >= 1/4x-4, so the symbol must be > or >=. since the line isn't dashed, points on the line also fit the inequality meaning that the answer is >=
Answer:
A 99% confidence interval will be wider than a 95% confidence interval
Step-by-step explanation:
From the question we are told that
The 95% confidence interval for for the mean foot length for students at the college is found to be 21.709 to 25.091 cm
Generally the width of a confidence interval is dependent on the margin of error.
Generally the margin of error is mathematically represented as
From the above equation we see that
Here
is the critical value of the half of the level of significance and this value increase as the confidence level increase
Now if a 99% confidence level is used , it then means that the value of
will increase, this in turn will increase the margin of error and in turn this will increase the width of the confidence interval
Hence a 99% confidence interval will be wider than a 95% confidence interval
To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
Answer:
I guess you are trying to find the perimeter of the parking lot.
the fomula is P= 2L+2W.
Step by step:
20yards( 2 ft )+ 30 yards +20 yards + 30 yards=
100 yards 2 ft.
I hope it's help.
Answer:
It is very likely that Rosa wins both prizes.
Step-by-step explanation:
The probability of winning a T‐shirt is 0.89 and the probability of winning a $20 gift certificate is 0.05. Which statement correctly describes the chances of Rosa winning a T‐shirt or a $20 gift certificate?
We have these three possibe outcomes.
Win t-shirt(0.89 probability) and lose the gift certiciate(1 - 0.05 = 0.95 probability)
Lose t-shirt(0.11 probability) and win the gift certiciate(0.05 probability).
Win both.
So

0.8955 = 89.55% probability of Rosa winning a T‐shirt or a $20 gift certificate, which is considered a very likely probability. So the answer is:
It is very likely that Rosa wins both prizes.