Answer
2(7x + 3) - x
= 13x + 6
Explanation
2(7x + 3) - x
= 14x + 6 - x
= 14x - x + 6
= 13x + 6
Hope this Helps!!!
Answer:
12
Step-by-step explanation:there are only 12 girls so that is the only amount of groups to be formed
Answer:
95.02% of squirrels have a weight between 3 and 5 pounds.
Step-by-step explanation:
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 4.1 pounds
Standard Deviation, σ = 0.5 pounds
We are given that the distribution of weight is a bell shaped distribution that is a normal distribution.
Formula:
P(weight between 3 and 5 pounds)
95.02% of squirrels have a weight between 3 and 5 pounds.
Using the concepts of normal distribution and Z-scores, it is found that approximately 95% of the squirrels have weights between 3 and 5 pounds.
The problem involves the use of the concept of normal distribution in statistics. In this case, we have a mean of 4.1 pounds and a standard deviation of 0.5 pounds. We have two weight points, namely 3 pounds and 5 pounds. To find out the percentage in this interval, we need to convert the weights into z-scores, which standardizes them. The formula for this is Z = (X - μ) / σ, where X is the weight point, μ is the mean, and σ is the standard deviation.
The Z-score for 3 pounds is Z1 = (3 - 4.1) / 0.5 = -2.2, and the Z-score for 5 pounds is Z2 = (5 - 4.1) / 0.5 = 1.8. Looking these Z-scores up in the standard normal table (or using a calculator with a normal distribution function), we get 0.9857 for Z1 and 0.9641 for Z2. The difference between these values gives the percentage of squirrels within the interval, which is 0.9641 - (1 - 0.9857) = 0.950 or 95%. Hence, approximately 95% of the squirrels have a weight between 3 and 5 pounds.
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Answer:
1/3
.................
your answer to 4 decimal places, if necessary.
Answer:
The probability that her internet service will not be broken for five days in a row is 243/1024
Step-by-step explanation:
Here, we want to calculate the probability that her internet service is not broken for five days in a row
Let the event that her internet will be broken be B and the event that her internet will not be broken be N
P(B ) = 25% = 0.25
P(N) = 1-0.25 = 0.75 = 3/4
Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)
= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024
Answer:
Area = 81; Side Length = 3
Step-by-step explanation:
The area of a square is the side lenght squared, and 9² is 81.
The side lengh can be found by taking the square root of the area. √9 = 3