Answer:
100
Step-by-step explanation:
because 4, 3, and 2 all make 180 and 4 and 2 are both 40 so you add that which makes 80 and then you take 180 and subtract 80 which gives you 100
Answer:
vertex = (- 5, - 8)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the x- coordinate of the vertex is
= - 
Given x² + 10x = - 17 ( add 17 to both sides )
x² + 10x + 17 = 0 ← in standard form
with a = 1, b = 10, c = 17, then
= - 
= - 5
Substitute x = - 5 into the quadratic for the corresponding value of y
y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8
Hence vertex = (- 5, - 8)
Answer:
D) There will be close to 3030 football players but probably not exactly 3030 football players who get a popsicle.
Step-by-step explanation:
We know that the Hendricksons are in charge of bringing treats for 5050 football players.
They brought 33 coolers of popsicles and 22 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat.
We conclude that:
D) There will be close to 3030 football players but probably not exactly 3030 football players who get a popsicle.
Answer:
a. There's a 95% chance that the true proportion is in the confidence interval.
Step-by-step explanation:
When we want to estimate a property of a population (a population's parameter), without surveying the population, we use samples.
Then, with the information of the samples we can calculate the statistics and infere properties about a population. This inferences obviously came with some uncertainty, depending on the properties of the sample and specially the sample size.
When we talk about confidence intervals, we use the statistic of the sample (in this case, the mean) to estimate a range of values it is expected to find the true mean of the population. The width of this interval depends on the sample standard deviation and the sample size.
The value of the confidence interval (95%, 99%, etc) represent the probabilty that the true mean is within this interval.
There will be 9 students left at the prep rally after 2 hours.
After 30 minutes
- Total Number of students = 729
- 2/3 of 729 = 486
- Number of students left = 729 - 486 = 243
After 1 hour:
- 2/3 of 243 = 162
- Number of students left = 243 - 162 = 81
After 1 hour 30 minutes :
- 2/3 of 81 = 54
- Number of students left = 81 - 54 = 27
After 2 hours :
- 2/3 of 27 = 18
- Number of students left = 27 - 18 = 9
Therefore, the Number of students left after 2 hours will be 9.
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