Answer:

Now we can calculate the p value with the following probability

If we use the commonly significance level of 0.05 we see that the p value is lower than these values we can conclude that the true mean is different from the value of 465.6 at 5% of significance
Step-by-step explanation:
Data provided
represent the mean score on the standardized memory test
represent the population standard deviation
sample size
represent the value that we want to verify
z would represent the statistic
represent the p value
System of hypothesis
We are interested to check if the memory performance for elderly individuals differs from that of the general population (mean different from 465.6), the system of hypothesis are then:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation we can use the z statistic from the z test for the true mean:
(1)
Replacing the info given we got:

Now we can calculate the p value with the following probability

If we use the commonly significance level of 0.05 we see that the p value is lower than these values we can conclude that the true mean is different from the value of 465.6 at 5% of significance
The values of the missing sides is DE = 12 and AC = 6.5
<h3>
Similar triangles</h3>
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion. Also all the corresponding angles are congruent.
Using Pythagoras:
AC² = AB² + BC²
AC² = 2.5² + 6²
AC = 6.5
Using similar triangles:
BC / DE = AB / EF
6/DE = 2.5/5
DE = 12
The values of the missing sides is DE = 12 and AC = 6.5
Find out more on Similar triangles at: brainly.com/question/14285697
Step-by-step explanation:
The statement
y varies directly as x is written as
<h3>

</h3>
So we have
<h3>y = kx</h3>
First of all we must find the relationship between them
when
x = 5 and y = 9
We have
9 = 5k
Divide both sides by 5

So the equation for the variation is

<h2>b).</h2>
when x = 15

We have the answer as
<h3>y = 27</h3>
<h2>c).</h2>
when y = 6

We have the answer as

Hope this helps you
Translations are all about shifting the same thing.
A is more of a rotation
C is more of an enlargement
D is a mere reflection of what's on the other side.
The pattern or image that could best be described by a translation is (B) <span>seats on a school bus</span>