Answer:
Answers are given below.
Step-by-step explanation:
a) one-to-one correspondence between the set of positiveintegers and that set.
Whenever we have one to one correspondence with positive integers, the set is countable and here infinite.
b) integers divisible by 5 and not 7
..This set is all integers divisible by 5 but not by 7. This is a discrete set and hence countable and infinite.
c) the real numbers with decimal representationsconsisting of all 1’s
-- This cannot be counted and hence uncountable but infinite.
d) the real numbers with decimal representationsconsisting of all 1’s or 9’s
-- This is also uncountable but infinite.
Answer:
The answer to your question is x = 18
Step-by-step explanation:
Use this problem using proportions
![\frac{QR}{LM} = \frac{RT}{MO}](https://tex.z-dn.net/?f=%5Cfrac%7BQR%7D%7BLM%7D%20%3D%20%5Cfrac%7BRT%7D%7BMO%7D)
Substitution
![\frac{x}{30} = \frac{9}{15}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B30%7D%20%3D%20%5Cfrac%7B9%7D%7B15%7D)
Solve for "x"
x = ![(30) \frac{9}{15}](https://tex.z-dn.net/?f=%2830%29%20%5Cfrac%7B9%7D%7B15%7D)
Simplification
x = ![\frac{270}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B270%7D%7B15%7D)
x = 18
Answer:
![\boxed {s = 14}](https://tex.z-dn.net/?f=%5Cboxed%20%7Bs%20%3D%2014%7D)
Step-by-step explanation:
Solve for the value of
:
![\frac{2}{3}s + \frac{5}{6}s = 21](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Ds%20%2B%20%5Cfrac%7B5%7D%7B6%7Ds%20%3D%2021)
-Combine like terms:
![\frac{2}{3}s + \frac{5}{6}s = 21](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Ds%20%2B%20%5Cfrac%7B5%7D%7B6%7Ds%20%3D%2021)
![\frac{3}{2}s = 21](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7Ds%20%3D%2021)
-Multiply
on both sides, which is the reciprocal of
, and multiply
and
:
![s = 21 \times (\frac{2}{3})](https://tex.z-dn.net/?f=s%20%3D%2021%20%5Ctimes%20%28%5Cfrac%7B2%7D%7B3%7D%29)
![s = \frac{21 \times 2}{3}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B21%20%5Ctimes%202%7D%7B3%7D)
![s = \frac{42}{3}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B42%7D%7B3%7D)
-Divide
by
:
![s = \frac{42}{3}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B42%7D%7B3%7D)
![\boxed {s = 14}](https://tex.z-dn.net/?f=%5Cboxed%20%7Bs%20%3D%2014%7D)
Therefore, the value of
is
.
Step-by-step explanation:
Box plots give the five number summary of the data set. The whiskers indicate the minimum daily travel time, which is 11 minutes, and the maximum daily travel time, which is 45 minutes. These values are not outliers because they are connected to the box with whiskers. Meanwhile, the box indicates that the first quartile of the data set is 16, the median is 28, and the third quartile is 36.
Answer:
x=2, y=4. (2, 4).
Step-by-step explanation:
x+y=6
3x-2y=-2
---------------
y=6-x
3x-2(6-x)=-2
3x-12+2x=-2
5x-12=-2
5x=-2+12
5x=10
x=10/5
x=2
y=6-(2)=6-2=4