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3 years ago

13

Complete each statement from the information given and state the reasons and the triangle criterion you used

1 answer:

kupik [55]3 years ago

8 0

Answer:

Triangle RED ≈ Triangle BUL

By-

SAS Congruencey

Beacause-

RE = BU (S)

ang RDE = ang BLU (A)

RD = BL (S)

(All the info for the relationship is given in the diagram itself)

Thus it's SAS Congruencey

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In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0

kolbaska11 [484]

Answer:

$Q_3 = 56.45$ --- The third quartile

$Var = 370.18$ -- Variance

Step-by-step explanation:

Given

$Q_1 = 30.8$ -- First quartile

$Q_2 = 48.5$ --- Median

$\bar x = 42$ --- Mean

$Skp = -0.38$ --- Coefficient of skewness

Solving (9): The third quartile $Q_3$

This is calculated from

$Skp = \frac{Q_1 + Q_3 - 2Q_2}{Q_3 - Q_1}$

So, we have:

$-0.38 = \frac{30.8 + Q_3- 2*48.5}{Q_3 - 30.8}$

Cross Multiply

$-0.38 (Q_3 - 30.8)= 30.8 + Q_3- 2*48.5$

Open bracket

$-0.38Q_3 + 11.704= 30.8 + Q_3- 97.0$

Collect like terms

$-0.38Q_3 -Q_3= 30.8 - 97.0- 11.704$

$-1.38Q_3= -77.904$

Divide both sides -1.38

$Q_3 = \frac{-77.904}{-1.38}$

$Q_3 = 56.45$ --- approximated

Solving (b): The variance

First, calculate the standard deviation from:

$3IQR = 4SD$

$IQR= Q_3 - Q_1$

So:

$3IQR = 4SD$

$3(Q_3 - Q_1) = 4SD$

Make SD the subject

$SD = \frac{3}{4}(Q_3 - Q_1)$

$SD = \frac{3}{4}(56.45 - 30.8)$

$SD = \frac{3}{4}*25.65$

$SD = \frac{3*25.65}{4}$

$SD = \frac{76.95}{4}$

$SD = 19.24$

So, the variance is:

$Var = SD^2$

$Var = 19.24^2$

$Var = 370.18$

5 0

3 years ago

Find x. please give calculation too. please

ELEN [110]

$log_{2}x -log_{4}x= -2 \\ \\ log_{2}x -\frac{log_{2}x}{log_{2}4}= -2 \\ \\ log_{2}x*(1-\frac{1}{log_{2}4})=-2 \\ \\ log_{2}x*(1-\frac{1}{2})=-2 \\ \\\frac{1}{2}*log_{2}x=-2 \\ \\ log_{2}x=-4, \\ \\ x=2^{-4} = \frac{1}{2^{4}}=0.0625$

5 0

3 years ago

The diagram shows a prism work out the volume???

julia-pushkina [17]

Answer:

Volume is equal to

L×W×H

=(10×9×7)cm

=90×7

=630

8 0

3 years ago

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alexdok [17]

Answer:

the answer wouldbe 8585434930.123

Step-by-step explanation:

7 0

3 years ago

The graph of g(x)

erik [133]

The graphic you are looking for looks like the one shown in the attached figure.Remember that to graph a line you need two points, which you give them. The equation of the line you are looking for in this case will be given by y = 2x + 1

6 0

3 years ago

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