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2 years ago

What is the answer for 6k-9=-15

Mathematics

2 answers:

Svetach [21]2 years ago

8 0

6k -9 = -15
+9 +9
6k = 24
/6 /6
k = 4

docker41 [41]2 years ago

5 0

Simplifying 6k + -9 = -15 Reorder the terms: -9 + 6k = -15 Solving -9 + 6k = -15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 6k = -15 + 9 Combine like terms: -9 + 9 = 0 0 + 6k = -15 + 9 6k = -15 + 9 Combine like terms: -15 + 9 = -6 6k = -6 Divide each side by '6'. k = -1

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Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below

mafiozo [28]

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a) $\bar X = 369.62$

b) $Median=175$

c) $Mode =450$

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And we can find the limits without any outliers using two deviations from the mean and we got:

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And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

Step-by-step explanation:

We have the following data set given:

49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000

Part a

The mean can be calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

Replacing we got:

$\bar X = 369.62$

Part b

Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

$Median=175$

Part c

The mode is the most repeated value in the sample and for this case is:

$Mode =450$

With a frequency of 4

Part d

The midrange for this case is defined as:

$MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

Part e

For this case we can calculate the deviation given by:

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

And replacing we got:

$s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

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2 years ago

Given that the measure of X is 57° and the measure of y is 51° find the measure of z

avanturin [10]

9514 1404 393

Answer:

132°

Step-by-step explanation:

Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.

Angle ZXQ is vertical to ∠x, so is the same measure.

Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...

∠YQX = 180° -51° -57° = 72°

This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...

∠z = 72° +60°

∠z = 132°

_____

Additional comment

The relations we used are ...

vertical angles are congruent
sum of angles in a triangle is 180°
an exterior angle is equal to the sum of the remote interior angles

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2 years ago