Your answer is d Its on the fourth quadrant! that Is really easy!
Answer:
2 : 1
12 : 6
30 : 15
Step-by-step explanation:
Look at the ratios one by one. Starting with 6 : 3, we can see that it's of the form 2a : a.
2 : 1
12 : 6
30 : 15
These are all equivalent.
Answer:
C
Step-by-step explanation:
Firstly, we set up the null and alternative hypothesis as follows;
The null hypothesis is;
H0: μ ≥ 12
The alternative hypothesis is;
Ha : μ < 12
Next step is to calculate the test statistic z
Mathematically;
z = (x - μ )/ σ /√n
= (11.58 - 12) /1.93/√(80
Test statistic z = -1.92
Now we proceed to find the probability value that is equal to the value of the test statistic. We can find this by using the standard normal table or NORMSTD function on excel
P(z < -1.92) = 0.0274
P-value = 0.0274
alpha = 0.05
From the above, we can see that
P-value < alpha
And because of this, we are going to reject the null hypothesis and therefore accept the alternative.
We then conclude that there is sufficient evidence to conclude that "The average battery life (between charges) of this model of tablet is at least 12 hours."
Answer:
C
Step-by-step explanation:
We know that the volume of a cylinder is given by the formula:
And we want to find the expression that represents the volume when the radius is (x+8) and the height is (2x+3).
So, let's substitute (x+8) for r and (2x+3) for h. This yields:
Let's expand.
Expand the square term first. We can use the perfect square trinomial pattern, which is:
Here, our a is x and b is 8. So:
Simplify:
Expand further. This time, we will use the distribute property. So:
Multiply:
Combine like terms:
Add:
Distribute the π:
So, our answer is C.
And we're done!
