Answer:
True
Step-by-step explanation:
The equation 2x² - 3x + 1 = 0 is in quadratic form.
H = x, L = 1.5 x;
L + W + H = 6
x + 1.5 x + W = 6
W = 6 - 2.5 x
Dimensions of the camera in terms of x:
x, 1.5 x, 6 - 2.5 x.
V = L x W x H
V = x * 1.5 x * ( 6 - 2.5 x ) = 9 x² - 3.75 x³
V ` = 18 x - 11.25 x² ( V max is when V` = 0 )
18 x - 11.25 x² = 0
x ( 18 - 11.25 x ) = 0
11.25 x = 18
x = 18 : 11.25
x = 1.6
The dimensions are:
L = 2.4
W = 2.0
H = 1.6
Answer:
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite sides congruent.
Step-by-step explanation:
Given the quadrilateral with the four vertices.
- Now in order to determine whether the given quadrilateral is a parallelogram or not, we need to check whether the opposite sides are congruent or not.
- It is clear that the given quadrilateral has opposite sides congruent.
Therefore, the given quadrilateral represents Parallelogram.
Hence,
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite sides congruent.
Answer:
Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.
Step-by-step explanation:
The national average is 17% .The z proportional hypothesis test is used.
1) Let the null and alternate hypothesis be
H0: p =0.17
against the claim
Ha: p ≠ 0.17
Choose the significance level ∝= 0.05
The critical region is z > 1.96 and Z <- 1.96 because it is two tailed test.
Computing
z= p^-p / sqrt [pq/n]
Z= 0.22-0.17/ √0.17*(1- 0.17)/90147
z= 39.965
Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.
1.) Let's say that the circle on the graph below represents x. The arrow is pointing to all the numbers greater than x, which happens to be on -2. If it points right, this means that x can equal to any number greater than -2. So your answer is x > -2.
2.) For inequalities such as these, you can simplify just like what you do for normal equations. Let's isolate x.
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