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jek_recluse [69]
3 years ago
10

Is the answer a, b, c, or d.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0
The correct answer is D.

-2 \leq y\ \textless \ 3

The graph shows the set of values that y takes, so you can see that the thick black line goes from -2 to 3 and the black point at -2 represents a closed interval at this point and the empty point at 3 represents an open interval at that point.
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just olya [345]

Answer:

3)7/12

4)2*14/25

5)25

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3 0
3 years ago
Read 2 more answers
Find the solution of the system of equations. – 5 - 6y = -32 4x - 6y = 4​
amid [387]

Equation (1)

-5 - 6y = -32

Equation (2)

4x - 6y = 4

Get y alone in equation (1)

-5 - 6y = - 32\\-6y = -32 + 5\\-6y = -27\\y = \frac{-27}{-6} = \frac{9}{2}

Insert y in equation (2)

4x - 6 \cdot \frac{9}{2} = 4\\4x - 27 = 4\\4x = 4 + 27\\4x = 31\\x = \frac{31}{4}

8 0
3 years ago
When an automobile is stopped with a roving safety patrol,each tire is checked for tire wear, and each headlight is checkedto se
ryzh [129]

Answer:

a) Joint ptobability distribution

\begin{pmatrix}  &Y=0&Y=1&Y=2&Y=3&Y=4\\X=0&0.3&0.05&0.025&0.025&0.1\\ X=1&0.18&0.03&0.015&0.015&0.06 \\ X=2&0.12&0.02&0.01&0.01&0.04\end{pmatrix}

b) P(X<= 1 and Y <= 1) = P(X<= 1) * P(Y<=1) = 0.56

c) P(X + Y = 0)=0.3

d) P(X + Y <= 1)=0.53

Step-by-step explanation:

We have to construct the joint probability table with the marginal probabilities of X and Y.

X can take values from 0 to 2, and Y can take values from 0 to 4.

We can calculate each point of the joint probability as:

P(x,y)=P_x(x)*P_y(y)

Then, the joint probabilities are:

X=0 Y=0 Px=0.5 Px=0.6 P(0,0)=0.3

X=0 Y=1 Px=0.5 Px=0.1 P(0,1)=0.05

X=0 Y=2 Px=0.5 Px=0.05 P(0,2)=0.025

X=0 Y=3 Px=0.5 Px=0.05 P(0,3)=0.025

X=0 Y=4 Px=0.5 Px=0.2 P(0,4)=0.1

X=1 Y=0 Px=0.3 Px=0.6 P(1,0)=0.18

X=1 Y=1 Px=0.3 Px=0.1 P(1,1)=0.03

X=1 Y=2 Px=0.3 Px=0.05 P(1,2)=0.015

X=1 Y=3 Px=0.3 Px=0.05 P(1,3)=0.015

X=1 Y=4 Px=0.3 Px=0.2 P(1,4)=0.06

X=2 Y=0 Px=0.2 Px=0.6 P(2,0)=0.12

X=2 Y=1 Px=0.2 Px=0.1 P(2,1)=0.02

X=2 Y=2 Px=0.2 Px=0.05 P(2,2)=0.01

X=2 Y=3 Px=0.2 Px=0.05 P(2,3)=0.01

X=2 Y=4 Px=0.2 Px=0.2 P(2,4)=0.04

We can write it in the form of a matrix:

\begin{pmatrix}  &Y=0&Y=1&Y=2&Y=3&Y=4\\X=0&0.3&0.05&0.025&0.025&0.1\\ X=1&0.18&0.03&0.015&0.015&0.06 \\ X=2&0.12&0.02&0.01&0.01&0.04\end{pmatrix}

b) From the joint probability P(X<= 1 and Y <= 1) is equal to

P(X\leq 1 \& Y \leq 1)=P(0,0)+P(0,1)+P(1,0)+P(1,1)\\\\P(X\leq 1 \& Y \leq 1)=0.3+0.05+0.18+0.03=0.56

We can calculate P(X<= 1) * P(Y<=1)

P_x(X\leq 1)=P_x(0)+P_x(1)=0.5+0.3=0.8\\\\P_y(Y\leq1)=P_y(0)+P_y(1)=0.6+0.1=0.7\\\\P_x(X\leq1)*P_y(Y\leq1)=0.8*0.7=0.56

Both calculations give the same result.

c) Probability of no violations

P(X+Y=0)=P(0,0)=0.3

d) P(X + Y <= 1)

P(X+Y \leq 1)=P(0,0)+P(0,1)+P(1,0)\\\\P(X+Y \leq 1)=0.3+0.05+0.18=0.53

5 0
3 years ago
In the data set #2 {75,80,85,75,85}, what is the mean?
Fantom [35]

Answer:

80

Step-by-step explanation:

7 0
3 years ago
What is ​ BC ​?
gtnhenbr [62]

BC = 18

AB = AC, hence

8x - 4 = 5x + 11 ( subtract 5x from both sides )

3x - 4 = 11 ( add 4 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

BC = 4x - 2 = (4 × 5 ) - 2 = 20 - 2 = 18


3 0
3 years ago
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