All categories

2 years ago

Two linear equations are shown.

Mathematics

1 answer:

sergey [27]2 years ago

3 0

Answer:

(7, 13/3)

Step-by-step explanation:

Given the expressions

y = 1/3x + 2 and the second line y = 4/3x - 5

Equating both expressions

1/3x + 2 = 4/3x - 5

1/3x - 4/3x = -5 - 2

-3/3x = -7

-x = -7

x = 7

Substitute x = 7 into any of the equations

Using y = 1/3 x + 2

y = 1/3(7) + 2

y = 7/3 + 2

y = (7+6)/3

y = 13/3

Hence the solution to the system of the equation is (7, 13/3)

You might be interested in

P(A) = 0.8, P(B) = 0.55 and P(A and B) = 0.35.<br> What is P(A or B)?

Likurg_2 [28]

<h3>Answer: 1</h3>

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.8 + 0.55 - 0.35

P(A or B) = 1.35 - 0.35

P(A or B) = 1

A probability of 1 means there is 100% certainty the event happens. This must mean that there are only possible outcomes are: either event A happens, or B happens, or possibly both A and B happen simultaneously.

7 0

2 years ago

Read 2 more answers

Jeff is buying apples and bananas from the farmer's market. He know that to find his total cost he will use the expression 1.25a

yan [13]

Answer: 8.00

Step-by-step explanation:

1.25a=3 0.50=5 so the answer is D, 8.00

5 0

3 years ago

What is the simplest form of 3 to 6

antiseptic1488 [7]

Answer:

3/6 = 1/2

Hope this help

Step-by-step explanation:

4 0

3 years ago

Helppp me get this this right

irakobra [83]

Answer:

$4^{16}$

Step-by-step explanation:

$16^{8}=\\16*16*16*16*16*16*16*16=\\4*4*4*4*4*4*4*4*4*4*4*4*4*4*4*4=\\4^{16}$

4 0

2 years ago

The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds

Lerok [7]

Answer:

$P_B(X\leq35)=P_N(X$

Step-by-step explanation:

If we approximate the binomial distribution with a normal distribution, we have to apply a correction factor for the fact that we are now dealing with a continuous variable instead of a discrete one, as it was with the binomial distribution.

The probability of no more than 35 defective CDs: P(X<35)

In this case, as X=35 is not included in the interval, we start the interval from X=35-0.5=34.5.

$P_B(X\leq35)=P_N(X$

being Pb the probability under the binomial distribution and Pn the probability under the normal distribution.

The area for the normal distribution is the one below X=34 (or P(X<34)).

4 0

3 years ago