TRUE. 25 is the greatest common factor (GCF) of 75,100 and 175. There is no factor higher than 25 that both these numbers share.
Answer:
d) demoralization
Step-by-step explanation:
I will tell him that it happened due to the demoralization. The first time you got 99th percentile and the second time for the same exam you got 84th percentile, it denotes that you had been demoralized and it may happen due to thinking too much about your reputation among friends that what will happen if you would not get the same or higher percentile on the second time test.
Answer:
-60 ? At least that's if you meant like
Answer:
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n = 160
The sample mean is
The variance is
The level of significance is
The null hypothesis is
The alternative hypothesis is
Generally the standard deviation is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
From the z table the area under the normal curve to the left corresponding to 2.53 is
From the value obtained we see that the hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the believe that the valve performs above the specifications is true
<em><u>The pattern for six factors of -3 is:</u></em>
(-3)(-3) = 9
(-3)(-3)(-3) = -27
(-3)(-3)(-3)(-3) = 81
(-3)(-3)(-3)(-3)(-3) = -243
(-3)(-3)(-3)(-3)(-3)(-3) = 729
<em><u>Solution:</u></em>
Given that we have to extend the pattern to six factors of -3
<em><u>Given pattern is:</u></em>
(-3)(-3) = 9
(-3)(-3)(-3) = -27
(-3)(-3)(-3)(-3) = 81
<u><em>Remember:</em></u>
When multiplying more than two positive and negative numbers, use the Even-Odd Rule: Count the number of negative signs — if you have an even number of negatives, the result is positive, but if you have an odd number of negatives, the result is negative.
Let us extend the pattern to five factors of -3 and then to six factors of -3
(-3)(-3)(-3)(-3)(-3)
Multiply them together to get result
(-3)(-3)(-3)(-3)(-3) = 9 x 9 x (-3) = 81 x (-3) = -243
Now find for six factors of -6
(-3)(-3)(-3)(-3)(-3)(-3) = 9 x 9 x 9 = 729
Thus pattern for six factors of -3 is:
(-3)(-3) = 9
(-3)(-3)(-3) = -27
(-3)(-3)(-3)(-3) = 81
(-3)(-3)(-3)(-3)(-3) = -243
(-3)(-3)(-3)(-3)(-3)(-3) = 729