Step-by-step explanation:
1) i will asume x2 and z2 are squares here.
ok, here we only have restrictions to x and z, so y can take all the values in R.
is a circle of radius 6, you can see this if for example we set z = 0, then x goes from -6 to 6, the same if we set x = 0 then z goes from -6 to 6.
and the equation
describes a circle.
So here, the region is the solid cylinder of radius 6, where the Y axis is also the axis of the cylinder.
2) you tipped the same inequality but different numbers in the right side, here i think you are saying that the inequalities describes the set of all points whose distance from the y-axis is equal or less tan 6.
The average winning per bet is the mean or the expected value of winning a bet.
The statistical term that represents $0.94 is (c) the expected value
From the question, we understand that the gambler has an average winning of $0.94, when he places a bet of $1
This means that:
The average winning on a bet of $1 is $0.94
Average, in statistics means the mean or expected value
Hence, the statistical term for $0.94 is (c) the expected value
Read more about expected values at:
brainly.com/question/14452320
Answer:

Step-by-step explanation:
Given that,
In an AP, the 6th term is 39 i.e.

In the same AP, the 19th term is 7.8 i.e.

Subtract equation (1) from (2).
7.8 - 39 = a+18d - (a+5d)
-31.2 = a +18d-a-5d
-31.2 = 13d
d = -2.4
Put the value of d in equation (!).
39 = a+5(-2.4)
39 = a- 12
a = 39+12
a = 51
The sum of n terms of an AP is given by :
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Put n = 25 and respected values,
![S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555](https://tex.z-dn.net/?f=S_%7B25%7D%3D%5Cdfrac%7B25%7D%7B2%7D%5B2%2851%29%2B24%28-2.4%29%5D%5C%5C%5C%5C%3D555)
Hence, the sum of first 25 terms of the AP is equal to 555.
Answer:
3/8
Step-by-step explanation:
1/2 * 3/4
Multiply the numerators
1*3 = 3
Multiply the denominators
2*4 = 8
Put the numerator over the denominator
3/8
The options of the question are
A between
and 
B between
and 
C between
and 
D between
and 
Step 1
Multiply
by 

Step 2
<u>Compare the product with the options</u>
Option A
-------> is not true
therefore
the option A is not the solution
Option B
-------> is not true
therefore
the option B is not the solution
Option C
-------> is not true
therefore
the option C is not the solution
Option D
-------> is true
therefore
the option D is the solution
<u>the answer is </u>
between
and 