B.
If you go left 2 and up 3.5, you’ll get point A
Answer:
x > 4
Step-by-step explanation:
Calling x the number of days Rita needs to bake the total amount of cakes, then inequality is x*8 > 32. Because she has orders for more than 32 cakes and can make 8 cakes per day. Dividing by 8 every side of the inequality gives: x > 4. Graph of the solution is attached (notice that 4 is not included).
Answer: z(e) = 2.07
Step-by-step explanation:
1.-The problem is about a test of proportions. As research company claims than no more 55 % of Americans regularly watch Fox News
The null hypothesis is H₀ P₀ ≤ 0.55 from 55%
And the alternative hypothesis is Hₐ Pₐ > .55
Is one tail test
2.-We have to specify significance level we assume our test will be for a significance level α = 5% or α = 0,05
3.-Calculation of z (c) = ?? and z (e) = '??
For z (c) we find in z table the value of z(c) = 1.64
For z (e) = ( P -P₀)/√p₀q₀/n z(e) = 0.05 / √(0.55*0,45)/425 z(e) = 0,05/ 0.02413 z(e) = 2.07
z(e) > z(c) threfore z(e) is in the rejection zone . We reject null hyothesis

Let's solve ~
Equation of directrix is : y = 1, so we can say that it's a parabola of form : -

- h = x - coordinate of focus = -4
- k = y - coordinate of focus = 5
- a = half the perpendicular distance between directrix and focus = 1/2(5 - 1) = 1/2(4) = 2
and since the focus is above the directrix, it's a parabola with upward opening.




