For system to have infinite solutions, both equation must be similar.
Noticed that second is the first equation times 3:
3[ 2x - 4y = 18]
6x - 12y = 54
So you should fill in 12 in box.
Significant figures are the digits that carry meaning to its measurement. Significant figures includes all the numbers excluding all the leading zeros, trailing zeros. All non zero digits are significant. Zeros between the non zero digits are significant. In a decimal number, trailing zeros are significant.
Now, consider the given number 0.23350
Since, in a decimal number all the trailing zeros are significant.
So, in the number 0.23350 there are five significant figures 2,3,4,5 and 0.
Therefore, there are 5 significant figures in the given number.
Answer:
acute
Step-by-step explanation:
the answer would be acute because of the fact that none of the angles are more than 90°
Option 1: 6a = 420 requires division property of equality to be solved
Step-by-step explanation:
Solving an equation means to find the value of a variable by isolating the variable on one side of the equation.
We will see all the options one by one.
<u>Option 1:</u>
In this option, 6 is multiplied with the variable so we have to divide the whole equation by 6 to find the value of a.
So we will use "Division property of Equality"
Dividing both sides by 6
Hence,
Option 1: 6a = 420 requires division property of equality to be solved
Keywords: Linear equation, variables
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Answer:
She should offer a guarantee of 6.24 years.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
This is the value of X when Z has a pvalue of 0.03. So it is X when Z = -1.88. So
She should offer a guarantee of 6.24 years.