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ch4aika [34]
3 years ago
9

Which of the following could be the first step in solving the equation below? 6^x=24

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
5 0

Answer:

the answer is d

Step-by-step explanation:

apex

qaws [65]3 years ago
3 0
D. Take the log of both sides first. You would then go on to solve by pulling the x down in front of the log 6 to get x log 6 = log 24. Divide both sides by log 6 to get x = log 24/log 6 and x = 1.7737
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Which the greatest value 562.71 562.17. 56.920
AlladinOne [14]
The greatest value is 562.71
8 0
3 years ago
Explain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that th
KatRina [158]

Answer:

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

Step-by-step explanation:

Previous concepts

The interquartile range is defined as the difference between the upper quartile and the first quartile and is a measure of dispersion for a dataset.

IQR= Q_3 -Q_1

The standard deviation is a measure of dispersion obatined from the sample variance and is given by:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Solution to the problem

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

8 0
3 years ago
Help with these questions Please :(
attashe74 [19]
The angle of YWZ is equal to the angle of YWX, and angle WYX is also a right angle due to the congruency of segments WZ and WX.

Every triangle has an angle total of 180 degrees, so angle WXY is equal to

180 - (WYX + YWX)
180 - (90 + 17)
73

Angle WXY has an angle value of 73 degrees.
8 0
3 years ago
Find the distance between points M (6,16) and Z (-1,14) to the nearest tenth, please help step by step
insens350 [35]
The distance between 2 points P(a, b) and Q(c,d) is given by the formula:

\displaystyle{d= \sqrt{(b-d)^2+(a-c)^2}, 


Apply the formula for the points M(6, 16) and Z(-1, 14):

\displaystyle{d= \sqrt{(16-14)^2+(6-(-1))^2}= \sqrt{2^2+7^2}= \sqrt{4+49}= \sqrt{53}\approx 7.28

which rounded to the nearest tenth is 7.3 (units)

Answer: 7.3 units
3 0
3 years ago
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round
TEA [102]
In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:

</span>\frac{13}{sin90^o}= \frac{12}{sin \alpha }   \ \ \to \ \ sin \alpha = \frac{12 \cdot sin90^o}{13}=  \frac{12*1}{13}  \approx 0.923 \ \ \to \ m\angle  \alpha \approx 67^o

In a triangle, the three interior angles always add to 180° ⇒

third angle = 180 - 90 - 67 = 23°

Answer:
67° and 23°  (to the nearest degree).
4 0
3 years ago
Read 2 more answers
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