Answer:
<u>Michelle has 17 pencils</u>
Step-by-step explanation:
Number of pencils Leslie has = 8 (She has 9 fewer pencils than Michelle)
Number of pencils Michelle has = 9 more than Leslie
How many pencils does Michelle have?
If Leslie has 8 and she has 9 fewer than Michelle, then:
Michelle has 9 more than Leslie
<u>Michelle has 9 + 8 = 17 pencils</u>
Answer:
a) f(-1/2) = -2 is NOT TRUE.
b) f(0) =3/2 is TRUE.
c) f(1) = -1 is NOT TRUE.
d) f(2) = 1 is NOT TRUE.
e) f(4) = 7/2 is TRUE.
Step-by-step explanation:
Here, the given function is 
Now, checking for each values for the given function:
a) Putting x = (-1/2):

and (5/4) ≠ -2
Hence, f(-1/2) = -2 is NOT TRUE.
b)Putting x = 0 :

Hence, f(0) =3/2 is TRUE.
c) Putting x = 1:

Hence, f(1) = -1 is NOT TRUE.
d)Putting x = 2:

and (5/2) ≠ 1
Hence, f(2) = 1 is NOT TRUE.
e)Putting x = 4:

Hence, f(4) = 7/2 is TRUE.
Answer:
The <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.
Step-by-step explanation:
The confidence interval formula for mean difference for a paired data is as follows:

Here,
= sample mean of the difference,
= sample standard deviation of the difference,
<em>n </em>= sample size (both samples are of same size).
= critical value of <em>t</em>
(<em>n</em> - 1) = degrees of freedom
The information provided is:
<em>n</em> = 5
Confidence level = 95%
The critical value of <em>t</em> is:



*Use a <em>t</em>-table for the critical value of <em>t</em>.
Thus, the <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.
Answer:
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,
<em>A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2.
</em>
<em>What is the volume of the pyramid?</em>
My answer:
As we know, The volume of a pyramid =
base area × its height
Given:
- Side lenght of the base is;

=> The area of the base is
- In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°
We use:
<=> BC = 
= 4 cm
And BC is the height of the the pyramid
=> The volume of a pyramid =
* 4 cm
=
The answer is 115
The sequence of the total apples look like this:
23 _ 46 _ 69_92_X
In which x is the total amount of apples eaten in the october.
From the sequence above we can see that each months gred and george consume additional of 23 apples
proof:
46 - 23 = 23
69 - 46 = 23
92 - 69 = 23
So, the amount of apples they will eat in November is:
92 + 23 = 115