Answer:
p=5
Step-by-step explanation:
a(x+y) is also (x+y)a
So if 3(n+5) has to be equivalent to (n+p)3, then p has to be 5.
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hope it helps
Answer:
B. z Subscript alpha divided by 2 zα/2 = 1.96.
Step-by-step explanation:
We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn girls:
n = 236, = 30.3 hg, s = 7.2 hg. The confidence level is 95%.
As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.
It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.
Here, = level of significance = 1 - 0.95 = 0.05 or 5%
= 0.025 or 2.5%
So, the value of in the z table is given as 1.96 with a 2.5% level of significance.
Answer:
65.56°
Step-by-step explanation:
We know that if we take dot product of two vectors then it is equal to the product of magnitudes of the vectors and cosine of the angle between them
That is let p and q be any two vectors and A be the angle between them
So, p·q=|p|*|q|*cosA
⇒
Given u=-8i-3j and v=-8i+8j
let A be angle before u and v
therefore,
⇒
Therefore angle between u and v is 65.56°
Possible unit is m³
<u>Step-by-step explanation:</u>
- The possible unit for volume of a cone is m³
- Volume of a cone = Base area × Height
- Here unit for volume will be square units and that of height will be in units. Together, they form cubic units.
- In the given options, the only unit that is in cubic form is m³