Answer:
78
Step-by-step explanation:
The mean is the sum of the 5 numbers, divided by 5:
µ = (9 + 18 + 27 + 30 + x)/5 = (84 +x)/5 = 16.8 +x/5
The median of a 5-number set will be the middle number. Depending on the value of x, the mean/median may be 18, x, or 27, so we have three possible equations for x.
16.8 +x/5 = 18
x/5 = 1.2 . . . . . subtract 16.8
x = 6 . . . . . . . . multiply by 5
___
16.8 +x/5 = x
16.8 = 4/5x . . . . subtract x/5
21 = x . . . . . . . . . multiply by 5/4
___
16.8 +x/5 = 27
x/5 = 10.2 . . . . . . subtract 16.8
x = 51 . . . . . . . . . . multiply by 5
___
The sum of the possible values of x is ...
sum = 6 + 21 + 51 = 78
Answer:
3x+4x+10/5+8/5
7x+10/5+8/5
7x+18/10
7x+9/5
Step-by-step explanation:
Answer:
A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.
Step-by-step explanation:
Standard deviation is a quantitative measure of the variability of traits of the subjects in a given population. These traits can range from age, height, weight e.t.c. This deviation is brought about by extreme or abnormal conditions, which is the reason why two deviations is more likely to occur than three deviations.
Moreover, going by the provisions of the empirical rule, If data comes from a population that is approximately symmetrical;
95% of the data will fall within two standard deviations.
99.7% will fall within three standard deviations
Find the attachment below.
Nevertheless, in a symmetrical distribution most of the data values fall around the mean. Two standard deviations is closer to the mean than 3 standard deviations hence more likely to occur.
The complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT
<h3>Similar triangles </h3>
From the question, we are to complete the given statement
From the given information,
We have that ΔPQR ≅ ΔSTR
This means ΔPQR is congruent to ΔSTR
Then,
∠PQR ≅ ∠STR
∠PRQ ≅ ∠SRT
∠QPR ≅ ∠TSR
Hence, the complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT
Learn more on Congruent Triangles here: brainly.com/question/28032367
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What? Where’s the question 11
