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3 years ago

Find the value of x in the triangle

Mathematics

2 answers:

horsena [70]3 years ago

5 0

Answer:

x=34

Step-by-step explanation:

There is 180 degrees in a triangle.

50+96=146

180-146=34

stellarik [79]3 years ago

4 0

Answer:

x = 34

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x+ 96+50 =180

Combine like terms

x + 146 = 180

Subtract 146 from each side

x+146-146 = 180-146

x = 34

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nydimaria [60]

This is the right answer

8 0

2 years ago

(1 point) An insurance company offers its policyholders a number of different premium payment options. For a randomly selected p

Olegator [25]

Answer:

X | 1 3 5 7

f(X) | 0.4 0.2 0.2 0.2

b) $P(4$

Step-by-step explanation:

For this case we have defined the cumulative distribution function like this:

$F(X) = 0, x$

$F(X) = 0.4, 1 \leq x$

$F(X) = 0.6, 3 \leq x$

$F(X) = 0.8, 5 \leq x$

$F(X) = 1, x \geq 7$

And we know that the general definition for the distribution function is given by:

$F(x) = P(X \leq x) = \sum_{i\leq k} f(i)$

Where f represent the density function.

Part a

For this case we need to find the density function, so we can find the values for the density for each value of X = 1,2,3,4,5,6,7,... since X is a discrete random variable.

$f(1) = P(X=1) = P(X \leq 1) - P(X=0) = F(1) -F(0) = 0.4-0=0.4$

$f(2) = P(X=2) = P(X \leq 2) - P(X=0)- P(X=1) = F(2) -F(1) = 0.4-0.4=0$

$f(3) = P(X=3) = P(X \leq 3) - P(X=0)- P(X=1) -P(X=2) = F(3) -F(2) = 0.6-0.4=0.2$

$f(4) = P(X=4) = P(X \leq 4) - P(X=0)- P(X=1) -P(X=2)-P(X=3) = F(4) -F(3) = 0.6-0.6=0$

$f(5) = P(X=5) = P(X \leq 5) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4) = F(5) -F(4) = 0.8-0.6=0.2$

$f(6) = P(X=6) = P(X \leq 6) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4)-P(X=5) = F(6) -F(5) = 0.8-0.8=0$

$f(7) = P(X=7) = P(X \leq 7) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4)-P(X=5)-P(X=6) = F(7) -F(6) = 1-0.8=0.2$

And for any value higher than 7 we have that:

$x_i \in [8,9,10,...]$

$f(x_i) = F(X_i) -F(X_i -1) = 1-1=0$

So then we have our density function defined like this:

X | 1 3 5 7

f(X) | 0.4 0.2 0.2 0.2

Part b

For this case we want to find this probability $P(4$

And since the random variable is discrete we can write this like that:

$P(4$

5 0

3 years ago

What is double of 3?

____ [38]

It will be 6 because you just add it twice the amount to 3. Therefore, 3 *2=6

8 0

3 years ago

Read 2 more answers

Expand & simplify:<br>3 (C-7)+2(3c+4)

cupoosta [38]

Answer: 3 (C-7)+2(3c+4)

Step-by-step explanation: Given

3(c - 7) + 2(3c + 4) ← distribute both parenthesis

= 3c - 21 + 6c + 8 ← collect like terms

= 9c - 13

4 0

3 years ago

Find the inverse of the function f(x) = 4x – 2.<br>Then graph the function and its inverse.<br>

NemiM [27]

Answer:

Y = 1/4x + 1/2

Step-by-step explanation:

The inverse is found by reflecting the graph across the y=x line. In the equation, this result by switching x and y then solving for y.

Y =4x-2

X=4y-2

X+2=4y

(X+2)/4= y

1/4x +1/2 =y

7 0

3 years ago