The system of equations have 2 solutions
<h3>How to determine the number of solutions?</h3>
The system of equations is given as:
-1/3x² = 5/6 + 1/3y²
5y² = 25/2 - 5x²
Next, we plot the graph of the system of equations.
From the attached graph, the equations intersect at two points
Hence, the system of equations have 2 solutions
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34/40 = 17/20 in fraction form
& 0.85 in decimal form
Answer:
d. 10
Step-by-step explanation:
Answer:
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Step-by-step explanation:
We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.
This means the alternative hypothesis will have an average less than 52. Thus;
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Answer:
The output for NAND gate is false if all the inputs are true. it is true if either A or B is False.
Step-by-step explanation:
Step1
NAND operator:
NAND is a logic or Boolean expression and is a combination of NOT and AND Gate.
NAND gate is built using various junction diodes and transistors.
Step2
The output of NAND can be 0 or 1. Here, LOW (0) and HIGH (1). 0 or 1 is commonly named as FALSE or TRUE respectively.
It is basically the complement of AND gate. If all its inputs are True or 1, then the output is False or 0 else if either A or B is 0 or 1 then it will give the output as TRUE.
Step3
Here, A and B are 2 inputs used to make the truth table for NAND.
In 1st row, when A and B are both 0, the output for NAND is 1.
Likewise, in 2st row and 3rd row, when either A or B is 0 or 1, the output for NAND is 1 that is TRUE.
But in last row, when both inputs A and B are true, then the output for NAND gate is FALSE or 0.
The diagram and truth table for NAND is shown below.