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3 years ago

PLS HELP SHOW ALL YOUR WORKING OUT :D BRAINLIEST

Mathematics

1 answer:

vazorg [7]3 years ago

6 0

Answer:

18.1 cm

Step-by-step explanation:

Work out CD

$\sqrt{16^{2}-7^{2} } = 14.38749457$ ⇒ Pythagoras Theorem

Use CD and AD to work out AC

$\sqrt{14.38749457^{2}+11^{2} } = 18.11077028$ ⇒ Pythagoras Theorem

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Which theorem or postulate proves that △ABC and △DEF are similar?

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A clothing manufacturer produces 120 garments per hour, of which 5 are damaged. How many garments without damage would the manuf

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<h2>Step-by-step explanation:</h2>

First we have to found all the clothes that the manufacturer produces in 8 hours,

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3 years ago

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An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results an

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Answer:

Mean = 1.57

Variance=0.31

Step-by-step explanation:

To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:

1) Both surgeries are successful (X=2).

$P(e_1)=0.90*0.67=0.603$

2) Left knee unsuccessful and right knee successful (X=1).

$P(e_2)=(1-0.9)*0.67=0.1*0.67=0.067$

3) Right knee unsuccessful and left knee successful (X=1).

$P(e_3)=0.90*(1-0.67)=0.9*0.33=0.297$

4) Both surgeries are unsuccessful (X=0).

$P(e_4)=(1-0.90)*(1-0.67)=0.1*0.33=0.033$

Then, the mean can be calculated as the expected value:

$M=\sum p_iX_i=0.603*2+0.067*1+0.297*1+0.033*0\\\\M=1.206+0.067+0.297+0\\\\M=1.57$

The variance can be calculated as:

$V=\sum p_i(X_i-\bar{X})^2\\\\V=0.603(2-1.57)^2+(0.067+0.297)*(1-1.57)^2+0.033*(0-1.57)^2\\\\V=0.603*0.1849+0.364*0.3249+0.033*2.4649\\\\V=0.1115+0.1183+0.0813\\\\V=0.3111$

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3 years ago