If that is a decimal the 1 would be in the tenths. If it is a whole number it would be in the hundred thousands
The probability is 1/30.
There are 5 possibilities for the spinner and 6 for the number cube, so this gives us 5*6= 30 outcomes.
There is only one way to spin a 3 and roll a 3 at the same time, so the probability is 1/30.
Answer:
Step-by-step explanation:
Hi there,
To get started, recall the logarithm rules. For this question, we can use the log rule specifically when subtracting two log functions that have the same base:
![log_b\alpha -log_b\beta =log_b[\frac{\alpha }{\beta } ]](https://tex.z-dn.net/?f=log_b%5Calpha%20-log_b%5Cbeta%20%3Dlog_b%5B%5Cfrac%7B%5Calpha%20%7D%7B%5Cbeta%20%7D%20%5D)
In this prompt, our base is 4, so b in the above formula. Using this formula, we can find the missing <u><em>argument</em></u> (the number inside of the log, what we are asked to solve for):
![log_49-log_411=log_4[\frac{9}{11} ]\\](https://tex.z-dn.net/?f=log_49-log_411%3Dlog_4%5B%5Cfrac%7B9%7D%7B11%7D%20%5D%5C%5C)
hence the missing argument is 9/11
At this point, there is no easier say to simplify, unless you wish to approximate 9/11 as 0.818. If you wish to solve for the exponent, you will have to use common log or natural log to do so.
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thanks,
The Associative Property allows you to "regroup" addition and multiplication problems. You can group this problem in two other ways,
(8 + 4) + 3 and (8 + 3) + 4.
Answer:
A) x ≥ 0.074; B) x ≥ 0.108; C) x ≤ 0.006; D) 0.04 ≤ x ≤ 0.108
Step-by-step explanation:
68% of data will fall within 1 standard deviation of the mean; 95% of data will fall within 2 standard deviations of the mean; and 99.7% of data will fall within 3 standard deviations of the mean.
Breaking this down, we find that 34% of data fall from the mean to 1 standard deviation above the mean; 13.5% of data fall from 1 standard deviation above the mean to 2 standard deviations above the mean; 2.35% of data fall from 2 standard deviations above the mean to 3 standard deviations above the mean; and 0.15% of data fall above 3 standard deviations above the mean.
The same percentages apply to the standard deviations below the mean.
The highest 50% of data will fall from the mean to the end of the right tail. This means the inequality for the highest 50% will be x ≥ 0.074, the mean.
The highest 16% of data will fall from 1 standard deviation above the mean to the end of the right tail. This means the inequality for the highest 16% will be x ≥ 0.074+0.034, or x ≥ 0.108.
The lowest 2.5% of data will fall from 2 standard deviations below the mean to the end of the left tail. This means the inequality for the lowest 2.5% will be x ≤ 0.074-0.034-0.034, or x ≤ 0.066.
The middle 68% will fall from 1 standard deviation below the mean to 1 standard deviation above the mean; this means the inequality for the middle 68% will be
0.074-0.034 ≤ x ≤ 0.074+0.034, or
0.04 ≤ x ≤ 0.108
