Answer:
D.
Step-by-step explanation:
Answer:
The estimate is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 522
The sample proportion of students would like to talk about school is 
Given that the confidence level is 90 % then the level of significance can be mathematically evaluated as



Next we obtain the critical value of
from the normal distribution table, the value is

Generally the margin of error can be mathematically represented as

=> 
=> 
Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is

substituting values

The parallelogram will translate along the arrow and reach the head of the arrow.
The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.
In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.
In the given figure, the parallelogram is present at the tail of the arrow.
The arrow depicts the direction of the translational motion.
So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.
For more explanation about translation or rotation, refer to the following link:
hhttps://brainly.com/question/9032434
#SPJ10
Answer:
D) x = -12 or x = 2
Step-by-step explanation:
The given quadratic equation is:

When y=0, we obtain:

We split the middle term with -2, 12 because their product is is -24 and their sum is 10.

We factor by grouping to obtain:


Either
or 
Either
or 
Since we know x=6, replace all the x with 6 in the equation and then follow the PEMDAS rule. y= -2(6)^2 + 2(6) + 2 y= -2 (36) + 2 (6) + 2 y= -72 + 12 + 2 y= -60+2 y= -58