Answer:
b = 3/4
Step-by-step explanation:
Using point slope: y - y1 = m(x - x1).
Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.
0.2 = 1/5, so 1/5 * 1/4 = 1/20
Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → <em>3/4</em>
The value of x is 8.
6x-2=46
+2 +2
6x=48
6/6 48/6
x=8
Answer:
B: 2800 hydrogen atoms
C: 6760 hydrogen atoms
D: y=amount of oxygen atoms*2
Step-by-step explanation:
B: We know the formula for water is H2O. SO that means that there is 2 hydrogen atoms and 1 oxygen atom. So there is 2 times the amount of hydrogen atoms so we can do 1400*2=2800, So there is 2800 hydrogen atoms in the water.
C: Same thing as B. 3380*2=6760
D: y=amount of oxygen atoms*2. Because there is one oxygen atom and two hydrogen atoms so 1*2=2.
Answer:
The 95% confidence interval for the true mean length of the shafts is ($3402.08, $4142.75).
Step-by-step explanation:
A (1 - <em>α</em>)% confidence interval for true mean (<em>μ</em>), when the population standard deviation is known is:
If the population standard deviation is not known, then the confidence interval for true mean is:
A 95% confidence interval for true mean is an interval estimate of the population mean. The interval has 0.95 probability of consisting the true value of the population mean.
It is provided that the 95% confidence interval for mean, based on a sample of size 30 is ($3402.08, $4142.75).
This interval implies that the true mean value is between $3402.08 and $4142.75 with 95% confidence.
Thus, the 95% confidence interval for the true mean length of the shafts is ($3402.08, $4142.75).
Answer:
100/729
Step-by-step explanation:
The basket contains 9 fruits: 4 apples and 5 peaches. Thus the probability of choosing one fruit can easily be determined.
P(Apple is selected) = number of apples / number of fruits= 4/9.
P(Peach is selected) = number of peaches / number of fruits= 5/9.
If the replacement is allowed, then the probabilities will remain unchanged for all the fruits. Therefore, the probability of selecting an apple in the any attempt is 4/9 and the probability of selecting a peach in any attempt is 5/9. Assuming that the selection of the fruits is independent, we can safely multiply the probabilities. Therefore, 4/9 * 5/9 * 5/9 = 100/729.
Therefore, the correct answer is 100/729!!!
