The table shows a proportional relationship. Select the missing y-value.

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = x+1 1 X+ 3 2.

Troyanec [42]

Answer:

D. (4, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 1

y = 1/2x + 3

Step 2: Solve for x

Substitute in y: x + 1 = 1/2x + 3
Subtract 1/2x on both sides: 1/2x + 1 = 3
Subtract 1 on both sides: 1/2x = 2
Divide both sides by 1/2: x = 4

Step 3: Solve for y

Define original equation: y = x + 1
Substitute in x: y = 4 + 1
Add: y = 5

Step 4: Graph

We can confirm our answer.

8 0

3 years ago

A driver has three ways to get from one city to another. There is an 80 % chance of encountering atraffic jam given he is on rou

lukranit [14]

Answer:

The probability is 0.64

Step-by-step explanation:

What we want to calculate here is conditional probability.

Let P(A )= Probability of using route A = 50% = 0.5

Let P( B )= probability of using route B = 25% = 0.25

Let P (C )= probability of using route C = 25% = 0.25

Let T be the probability that he will be in a traffic Jam

The probability that he will be in a traffic Jam if he uses route A = 80%

Mathematically this is written as P( T | A) which is read as probability of T given A

so P( T | A) = 0.8

Same way for B and C which can be written as follows;

P( T | B) = 60% = 0.6

P( T | C) = 30% = 0.3

Now, what do we want to calculate?

He is in a traffic Jam, and we want to find the probability that he used route A. This means we want to find P(A) given T which can be written mathematically as P ( A | T)

We can find this using the other parameters and especially the equation below;

P ( A | T) = P(A) • P( T| A) / {P(A) • P ( T | A) + P(B)• P(T| B) + P(C) • P(T|C)

P( A | T) = (0.5 * 0.8)/ ( 0.5)(0.8) + (0.25)(0.6) + (0.25)(3) = 0.4/(0.4 + 0.75 + 0.075) = 0.4/0.625 = 0.64

4 0

3 years ago

The recycling bin for the school is in the shape of a rectangular prism. The bin has a length of 16 inches, a width of 14 inches

Romashka [77]

Answer:

3150 inches is the volume

Step-by-step explanation:

i hoped this helped

3 0

3 years ago

A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.50.

avanturin [10]

Step-by-step explanation:

The plumber's daily earnings have a mean of $145 per day with a standard deviation of

$16.50.

We want to find the probability that the plumber earns between $135 and

$175 on a given day, if the daily earnings follow a normal distribution.

That is we want to find P(135 <X<175).

Let us convert to z-scores using

$z = \frac{x - \mu}{ \sigma}$

This means that:

$P(135 \: < \: X \: < \: 175) = P( \frac{135 - 145}{16.5} \: < \: z \: < \frac{175 - 145}{ 16.5} )$

We simplify to get:

$P(135 \: < \: X \: < \: 175) = P( - 0.61\: < \: z \: < 1.82 )$

From the standard n normal distribution table,

P(z<1.82)=0.9656

P(z<-0.61)=0.2709

To find the area between the two z-scores, we subtract to obtain:

P(-0.61<z<1.82)=0.9656-0.2709=0.6947

This means that:

$P(135 \: < \: X \: < \: 175) =0.69$

The correct choice is C.

7 0

3 years ago

Find the location of K

SCORPION-xisa [38]

Answer:

-2

Step-by-step explanation:

8 0

3 years ago