The value of angle x is 127 degrees.
<h3>How to find angles?</h3>
The angle x can be found as follows:
Angle on a straight line is 180 degrees.
Therefore, the sum of 53 degrees and x degrees is 180 degrees.
Therefore,
53 + x = 180°(sum of angles on a straight line)
subtract 53 from both sides of the equation
53 - 53 + x = 180 - 53
x = 127°
Therefore, the angle of x is 127 degrees.
learn more on angles here: brainly.com/question/7153708
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Statistics should be used because the temperature would vary during January and you would want to give an accurate answer.
Could you send the picture so I could help please :)
Answer:
P ( 5 < X < 10 ) = 1
Step-by-step explanation:
Given:-
- Sample size n = 49
- The sample mean u = 8.0 mins
- The sample standard deviation s = 1.3 mins
Find:-
Find the probability that the average time waiting in line for these customers is between 5 and 10 minutes.
Solution:-
- We will assume that the random variable follows a normal distribution with, then its given that the sample also exhibits normality. The population distribution can be expressed as:
X ~ N ( u , s /√n )
Where
s /√n = 1.3 / √49 = 0.2143
- The required probability is P ( 5 < X < 10 ) minutes. The standardized values are:
P ( 5 < X < 10 ) = P ( (5 - 8) / 0.2143 < Z < (10-8) / 0.2143 )
= P ( -14.93 < Z < 8.4 )
- Using standard Z-table we have:
P ( 5 < X < 10 ) = P ( -14.93 < Z < 8.4 ) = 1
5 of the planets are earth like and 2 are mars like
5 * 2 = 10
<u>1 * 2 = 2</u>
Total 12
4 earth like and 4 mars like
Earth = 4*2 = 8
<u>Mars = 4 * 1 = 4</u>
Total 12
3 Like Earth 6 like mars
Earth 3 * 2 = 6
<u>Mars 6 * 1 = 6</u>
Total 12
Those answers are the only ones possible.
