So this one is a little tricky because in order to solve you need to combine like terms. The only problem is that two fractions don't have the same denominator.
This is what you do.
2/3 - 1/9
= (2*9) - (1*3) / 3*9
= 18 - 3 / 27
= 15/ 27
Simplify.
5/9 + y = 7/9
Now since you need to isolate the variable you have to subtract 5/9 from both sides. Since the denominator is the same you can just subtract the numerator.
So y = 2/9
I hope this helps love! :)
Answer: 64 centimeters squared.
Step-by-step explanation: This shape is a parallelogram. And the area of a parallelogram is just the base multiplied by the height. Here, the base is 10 cm and the height is 7 cm. So you might think the the area is just 70 centimeters squared. But here's the catch. There is a rectangular region in this parallelogram that is not shaded. But you can still easily solve this problem. All you need to do is find the area of that rectangular region and you already know the length and the width of this region. And, remember, the area of a rectangle is just the length and the width multiplied. So here, the area of that rectangular region is just 2 cm multiplied by 3 cm. Which will give you 6 centimeters squared. Now, all that's left to do is subtract the area of that rectangular region, 6 centimeters squared, from the total area of the parallelogram, 70 centimeters squared. And that should give you 64 centimeters squared as your final answer. I really hope this makes sense and is helpful.
Answer:
Step-by-step explanation:
We want to determine a 90% confidence interval for the mean amount of time that teens spend online each week.
Number of sample, n = 41
Mean, u = 43.1 hours
Standard deviation, s = 5.91 hours
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
43.1 ± 1.645 × 5.91/√41
= 43.1 ± 1.645 × 0.923
= 43.1 ± 1.52
The lower end of the confidence interval is 43.1 - 1.52 =41.58
The upper end of the confidence interval is 43.1 + 1.52 =44.62
Therefore, with 90% confidence interval, the mean amount of time that teens spend online each week is between 41.58 and 44.62
Answer:
C
Step-by-step explanation:
We can use process of elimination
D is incorrect because the roots are 3 and -4 and there are no negative roots visible
B is wrong because the roots -3 and -6 are both negative
You can factor A into (x-2)(x-3) and the roots are 2 and 3 but the roots on the graph look closer to 3 and 6
For C it can be factored as (x-6)(x-3) so the roots are 3 and 6 which look accurate
