4 - 8 = -4.
Note that 8 (in the equation) comes after 4 (also in the equation) so, that makes the answer negative. If you wrote the equation like this:
8 - 4 = 4. Then it would equal 4, not negative 4 as given.
So,
a = 8
D. 8y^3 + 6y^2 - 29y + 15
Okay, so the y-intercept is the "b" in this case and the m is your slope so, therefore, you have y=- 1/2x-5
Answer:
Correct option: (D).
Step-by-step explanation:
The hypothesis for testing whether there is a difference between the two population proportions is:
<em>H₀</em>: The population proportion of students who drive to school for R and S is same, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: The population proportion of students who drive to school for R was greater than that for S, i.e. <em>p</em>₁ > <em>p</em>₂.
The difference between the two sample proportion is,
![\hat p_{1}-\hat p_{2}=0.07](https://tex.z-dn.net/?f=%5Chat%20p_%7B1%7D-%5Chat%20p_%7B2%7D%3D0.07)
And the <em>p</em>-value of the test is:
<em>p</em>-value = 0.114
The <em>p</em>-value is well defined as the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.
We reject a hypothesis if the <em>p</em>-value of a statistic is lower than the level of significance <em>α</em>.
The <em>p-</em>value of 0.114 indicates that, assuming the null hypothesis to be true, the probability of obtaining a difference between the two sample proportions of at least 0.07 is 0.114.
The correct option is (D).
Answer:
20 hours
Step-by-step explanation:
To find the answer, you first should find out how long is 25% of the original battery life, 16 hours. To find this, you can divide 16 by 4, or multiply 16 by 0.25. Either works.
16/4=4.
So the new battery lasts 4 hours more than the old battery. Then, add this to the original length to find how long the new battery will last in total.
16+4=20