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allsm [11]
3 years ago
7

Evaluate the expression 14c5

Mathematics
1 answer:
kramer3 years ago
4 0

If you are looking for the possible combinations in that equation, you’ll have to use the combination formula which is n factorial over r factorial

 

So in the problem, there are 14 possible combinations

<span>                                               5 </span>

 

It is computed by

<span>14! = 14*13*12*11*10 divided by</span>

<span>5! = 5*4*3*2*1</span>

<span>
</span>

<span>So the answer is there are 2002 possible combinations</span>

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Show that the following parallelogram is a rhombus.
Alex17521 [72]

Answer:

They are equal

Step-by-step explanation:

All the sides are equal, because you use the pythagoreon theorem to find out that all the sides are equal.

8 0
3 years ago
An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results an
igomit [66]

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

3 0
4 years ago
Find the length of side x in simplest radical form with a rational denominator<br><br>​
HACTEHA [7]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
In the figure shown to the right, two angle measurements are given. Determine the others.
creativ13 [48]

The figure is shown below

From the figure

Angle 150 degree and angle p forms angles on a straight

Since the sum of angles on a straight line equals 180 degrees

Hence

150^{\circ}+p=180^{\circ}

Solve for p in the equation

\begin{gathered} p=180^{\circ}-150^{\circ} \\ p=30^{\circ} \end{gathered}

Hence, p = 30

From the figure

Angle p and angle q are vertically opposite angles

Since vertically opposite angles are equal then

p=q=30^{\circ}

Hence, q = 30

Applying the rule of angles on a straight line

This implies

q+w+60=180

Substitute q = 30 into the equation

30+w+60=180

Solve for w

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8 0
1 year ago
What is the volume of a sphere with a radius of 6mm
sertanlavr [38]
Approximately 904.78
8 0
4 years ago
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