Answer:
3.4 kg
0.06 kg
Step-by-step explanation:
Given that:
Birthweight follows a normal distribution :
Mean weighf (m) = 3.4 kg
Standard deviation (σ) = 0.6 kg
Sample size (n) = 100 new born babies
calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution
The sample mean birth weight = population mean birth weight for a normal distribution according to the central Limit theorem.
Hence, sample mean birth weight = 3.4kg
Standard deviation of sampling distribution = standard error = σ/√n
0.6 / √100
= 0.6 / 10
= 0.06 kg
1) The population
Is the set of all the terms that the teacher taught this semester and which he wrote down on the note cards and put in the paper bag.
2) The sample is every set of five cards that is selected by each student.
3) I think the sample is representative because all ther terms have the same probability of being selected.
Further, given that the cards are replaced every time all the students will face the same population when they are going to select a sample.
9514 1404 393
Answer:
D The new line would be less steep than the original line.
Step-by-step explanation:
Assuming the slope is change from 3 to 1/3, the new line would be less steep.
__
The steepness of a line increases as the magnitude of the slope increases. The slope 1/3 is less than 3, so a line with that slope is less steep than a line with a slope of 3.
<span>we have that
H(t) = −16t</span>²<span> + 96t + 80
</span><span>g(t) = 31 + 32.2t
Part A)
see the attached table
</span><span>the solution to H(t) = g(t) is between t=4 sec and t=5 sec
for t=4 sec
H(4)=208 ft and g(4)=159.8 ft
so
H(t) > g(t)
</span>for t=5 sec
H(5)=160 ft and g(5)=192 ft
so
H(t) < g(t)
<span>that change of H(t) from being greater to becoming smaller tells me that the solution is in that interval [4, 5]
</span>
Part B)<span>Explain what the solution from Part A means in the context of the problem
</span>when H(t)=g(t) means <span>that the projectile destroyed the object N 2 in the interval [4,5]
to find the exact solution
</span>−16t² + 96t + 80=31 + 32.2t
−16t² + 96t + 80-31-32.2t=0
−16t² + 63.8t + 49=0<span>
using a graph tool
see the attached figure
the exact solution is
t=4.65 sec</span>
Answer:
11
Step-by-step explanation:
Let the no. of helmet be x
cost of 1 helmet = $12.00
cost of x helmet = $12.00*x = $12x
Let the no. of tire pumps be y
cost of 1 tire pumps = $8.00
cost of x tire pumps = $8.00*y = $8y
Given that total no. of helmet and pump is 18
thus
x + y = 18
y = 18-x
also given
total money spent is $188
thus
12x+8y = 188
using y = 18 - x
we have
12x + 8(18-x) = 188
=> 12x+ 144 - 8x = 188
=> 4x = 188-144 = 44
=> x = 44/4 = 11
Thus, no of helmet bought by Margo is 11.