Answer:
1)A parabola is defined as a set of points in a plane which are equidistant from a straight line or directrix and focus.
The hyperbola can be defined as the difference of distances between a set of points, which are present in a plane to two fixed points is a positive constant.
2)A parabola has single focus and directrix
A hyperbola has two foci and two directrices
3)Eccentricity, e = 1(parabola)
Eccentricity, e>1(hyperbola)
4)The two arms present in a parabola should be parallel to each other
The arms present in hyperbola are not parallel to each other
5)It has no asymptotes(parabola)
It has two asymptotes(hyperbola)
Answer:
AD ≅ BC | Given
AD ║ BC | Given
AC ≅ AC | Reflexive Property
∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the | alternate interior ∠s are congruent.
ΔADC ≅ ΔBCA | S.A.S Postulate
BA ≅ DC | Corresponding sides of congruent Δs
So, quad. ABCD is a ║gm | If a quad. has its opposite sides
| congruent, the quad. is a parallelogram.
Step-by-step explanation:
Answer:
d) $128.65
Step-by-step explanation:
The table format from the question can be properly expressed as :
Coefficients Standard Error t Statistic p value
Intercept 39.14942 22.30182 1.755436 0.109712
x 1.792312 0.407507 4.398234 0.001339
Source df SS MS F = 29.51443
Regression 1 16850.99 16850.99 19.34446 = 0.682478
Residual 9 7839.915 871.1017
Total 10 24690.91
For a rural household with $90,000 annual income, Abby's model predicts weekly grocery expenditure of:_________.
The estimated regression equation is as follows:
Expenditure (y) = 39.15 + 1.79 x
For a rural household with $90,000 annual income; the independent variables will assume the following values
x = 50
Thus; the estimated groceries expenditure is computed from the above regression equation by replacing the values of the independent variables;
This can be expressed as:
y = 39.15 + 1.79 (50)
y = 39.15 + 89.5
y = $128.65
Answer:
n(n-18)-81
Step-by-step explanation:
n^2-18n-81
=n(n-18)-81
I hope this helps!
Answer:
There is no enough evidence to claim that there is a difference between the two population proportions.
Step-by-step explanation:
We have to perform an hypothesis testing for a difference between two population proportions.
The null hypothesis will state that both proportions are the same, and the alternative hypothesis will state that they differ. This would be than a two-side hypothesis test.
We can write this as:
The significance level for this test is 0.05.
The sample of city residents with school-age children has a sample size n1=230 and a sample proportion p1=0.41
The sample of city residents without school-age children has a sample size n2=341 and a sample proportion p2=0.51
The weighted p, needed to calculate the standard error, is the weighted average of both sample proportions:
The standard error of the difference of proportions can now be calculated as:
The test statistic z is:
The P-value for this two side test and this value of the z-statistic is:
The P-value is bigger than the significance level, so the effect is not significant. The null hypothesis failed to be rejected.
There is no enough evidence to claim that there is a difference between the two population proportions.