Answer:
tan56°
Step-by-step explanation:
The Addition identity for tangent ratio is
tan(x + y) = , thus
= tan(24 + 32)° = tan56°
Can someone please help me asap!!??
2 answers:
Answer:
(second option in your list)
Step-by-step explanation:
Notice that every base with negative exponent can be written with positive exponent on the opposite side of the fraction line, therefore:
The a to the exponent "-4" in the denominator can be written as a to the exponent 4 in the numerator, thus giving two bases a in the numerator, one with exponent 3 and another one with exponent 4 which combined with the rule of product of numbers with same base, leads to the addition ofthe exponents: a to the power 7 in the numerator.
We do something similar with the base b (which in the numerator appears with a "-1" in the exponent), we write it in the denominator with exponent "+1".
Therefore we end up with the following:
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Answer:
Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:
Where and
We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean is given by:
And for this case the standard error would be:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:
Where and
We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean is given by:
And for this case the standard error would be: