Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
we have
The parent function is
This is a vertical parabola open upward with vertex at origin (0,0)
Part 1) Reflection over the x-axis
The rule of the reflection across the x=axis is equal to
(x,y) ------> (x,-y)
so
f(x) -----> g(x)
The function g(x) will be
Part 2) Horizontal shift left 3 units
The rule of the translation is
(x,y) ------> (x-3,-y)
so
f(x) -----> g(x)
The function g(x) will be
Part 3) Vertical shift up 7 units
The rule of the translation is
(x,y) ------> (x,y+7)
so
f(x) -----> g(x)
The function g(x) will be
Answer:
Hello!
If their recipe calls for 1.6 ounces of ground beef per person, Nadia and Dalilah need 33.6 ounces.
Hope this helps!!
Answer:
No. we cannot believe it as per hypothesis test done.
Step-by-step explanation:
Given that five hundred draws are made at random with replacement from a box of numbered tickets; 276 are positive.
To test the claim whether the proportion for positive numbers is 50% let us conduct a hypothesis test for proportions.
(Two tailed test at 5% significance level)
Sample proportion p =
Std error of p =
(assuming null hypothesis to be true)
Here P = 0.50
Test statistic = p difference/std error =
Z test is used for this proportion.
p value = 0.0198
Since p value <0.05 we reject null hypothesis
At 95% confidence level, there is statistical evidence to show that sample mean is not 50%
Answer:
93 degrees
Step-by-step explanation:
The angles in a triangle add to be 180 so
180-56-31=x
x=93