Answer:
Step-by-step explanation:
Given :In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegetables, and 458 reported that they preferred eating vegetables.
To Find :What value of z should be used to calculate a confidence interval with a 95 % confidence level?
Solution:
Confidence level = 95 % i.e.0.95
So, significance level = 5% i.e. 0.05
So, the value of z corresponding to significance level 0.05 should be used to calculate a confidence interval with a 95 % confidence level
So,
Hence z should be 1.645 to calculate a confidence interval with a 95 % confidence level.
Since the Venus orbits round the sun, the sun is the center of the circular path of the revolution of the planet, Venus.
Thus, the distance of the planet, Venus fron the sun is given by the distance between the points (0, 0) and (41, 53).
Recall that the distance between two points
and
is given by
Thus, the distance between the points (0, 0) and (41, 53) is given by:
Given that each unit of the plane represents 1 million miles, therefore, the distance from the sun to the Venus is 67 million miles.
If Melanie get's 4.10$, then Jacob get's 20.50$.
We can divide to get the unit rate:
20.50 ÷ 4.10 = 5
This means that if Jacob gets 5$, then Melanie will get 1$.
So in this case, Melanie get's 1$.
So first you have to find the perfect square that matches up with x^2 + 6x
so half of 6, and square it. your perfect square is 9
x^2 + 6x + 9 = 7 + 9
then, condense the left side of the equation into a squared binomial:
(x + 3)^2 = 16
take the square root of both sides:
x + 3 = ± √16
therefore:
x + 3 = ± 4
x = - 3 ± 4
so your solution set is:
x = 1, -7
Answer:
6 cm
Step-by-step explanation:
If the linear scale factor of two solids is k, then the volume scale factor is k^3.
The volume scale factor is 128/54 = 64/27 = (4/3)^3.
The linear scale factor is 4/3.
4.5 cm * 4/3 = 6 cm
Answer: The height of the larger container is 6 cm.
