Answer:
376 squared inches for the hole bird house, 60 for the side with the whole.
Step-by-step explanation:
1 side is 60 inches squared, another is 48 inches squared, and another is 80 inches squared, and there are two of each side so you get 120+96+160= 376.
Answer:
(-15)/3 = -5
Step-by-step explanation:
(-15)/3
Assume that your positive tiles are yellow, and your negative tiles are red.
The question is asking, "if you take 15 red tiles and split them into three equal groups, how many will you have in each group?"
How can you model the first value of -15? With 15 red tiles.
Let’s model how to divide the tiles into three equal groups by moving one tile at a time into three separate groups until all 15 tiles have been moved.
Step 1.
Start with 15 red tiles, as in the first picture.
Step 2.
Start by moving tiles one at a time to begin creating three new groups.
The middle picture shows the situation after you have moved the first three tiles.
Step 3.
Continue moving tiles one at a time from the original group and stacking them evenly in the three new groups until you have no more tiles to move.
The third picture shows the situation when you have finished.
How many red tiles are in each group? There are five.
Is the answer positive or negative? The answer is negative, because there are five red negative tiles in each group.
Conclusion? (-15)/3 = -5
<span>Use the distance formula to find the length of each side and then add the lengths.
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.</span>
For this case we have the following equation:
y = 3619000 (2.7) ^ 0.009t
We must evaluate the equation for the year 2000.
Therefore, we must replace the following value of t:
t = 2000 - 1994
t = 6
Substituting we have:
y = 3619000 (2.7) ^ (0.009 * 6)
y = 3818407.078
Round to the nearest ten thousand:
y = 3820000
Answer:
3820000 residents are living in that city in 2000
Answer:
25
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 175cm
Standard deviation = 6 cm
Percentage of students below 163 cm
163 = 175 - 2*6
So 163 is two standard deviations below the mean.
By the Empirical rule, 95% of the heights are within 2 standard deviations of the mean. The other 100-95 = 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of them are more than 2 standard deviations below the mean(so below 163cm) and 2.5% are more than two standard deviations above the mean.
2.5% of the students have heights less than 163cm.
Out of 1000
0.025*1000 = 25
25 is the answer
