Answer:
E
Step-by-step explanation:
When you perform an experiment on a population, the majority of the time, you cannot use the entire population, so instead you use a sample of that population.
In this case, you mark 130 MendAliens out of an unknown population. After that you capture 90, and see that 20 are marked. You can use this to assume that for every 90 MendAliens, you marked 20, so if you calculate that as a percentage, you would get 22.22%.
This means that you marked approximately 22% of the population, when you marked those 130 MendAliens. Using basic math, we can work backwards to calculate the total population.
Percentage (%) = Sample / Total
Inserting the values we know...
22.22% = 130 / Total
Rearranging the formula, we get...
Total = 130 / 22.22%
Since we know 22.22% is actually equal to (22.22 / 100)= 0.2222
Total = 130 / 0.2222
Total = 585
Answer:
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Step-by-step explanation:
The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.
28x - 7 + 24x + 18 = 180
52x + 11 = 180
52x = 169
x = 169/52
x = 3.25
Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.
12y + 30 = 24x + 18
We know that x = 3.25.
12y + 30 = 24(3.25) + 18
12y + 30 = 78 + 18
12y = 66
y = 66/12
y = 5.5
I don't know what the problem is asking for since you don't show.
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
Answer:
to solve use the distributive property and multiply
Step-by-step explanation:
I'm sorry I do not have the product
Answer:
i liked this it made me feel smart. but julie will ride further by 4/15 miles
Step-by-step explanation:
