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3 years ago

If two angles of a triangle each measure 54 what is the measure of the third angle

Mathematics

1 answer:

galben [10]3 years ago

6 0

Well what is 180-54-54 then you will have your answer because any triangle or straight line always equals 180

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Workout the 11th triangular number

Arturiano [62]

The 11th triangular number = 66

4 0

2 years ago

Which expression shows the result of applying the distributive property to 12(5y+4) ?

brilliants [131]

<span>12(5y+4)
= 12(5y) + 12(4)
= 60y + 48

hope it helps</span>

6 0

3 years ago

A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to

melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

$P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}$

Mean of X:

$E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42$

Variance of X:

$E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}$

$var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58$

5 0

3 years ago

Given the following functions f(x) and g(x), solve (f + g)(2) and select the correct answer below: (1 point)

Helen [10]

-27 hope this helps :): :): )(:

3 0

3 years ago

A game system allows players to design a personal picture. Each picture is designed by choosing from male or female, 8 face shap

astra-53 [7]

Answer:

The number of possible pictures:

N = 2 x 8 x 48 x 12 x 24 x 82 = 18137088

Hope this helps!

6 0

2 years ago