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Naya [18.7K]
3 years ago
15

Let U represent the set of people in a certain community who were asked if they subscribe to an information source. Let D ={ x ∈

U | x subscribes to The Daily Informer } and N ={ x ∈ U | x subscribes to News Magazine } (Assume these sets are not disjoint.) Write the set that represents the set of people surveyed who subscribe to exactly one of the two news sources given.
a. N ∪ D
b. ( N c ∩ D ) ∪ ( N ∩ D c )
c. N c ∩ D
d. ( N ∩ D )c
e. ( N c ∪ D ) ∩ ( N ∪ D c )
Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0

Answer:

b. ( N^c \cap D ) \cup ( N \cap D^c )

Step-by-step explanation:

Here,

N = { x ∈ U | x subscribes to News Magazine },

D = { x ∈ U | x subscribes to The Daily Informer },

Such that N∩D ≠ ∅,

Now, the number of the set of people surveyed who subscribe only News Magazine

= Subscribe News Magazine and not Daily Informer

= N\cap D^c

Similarly, the number of the set of people surveyed who subscribe only Daily informer

= Subscribe Daily informer and not subscribe News Magazine

= D\cap N^c

Hence,  the set of people surveyed who subscribe to exactly one of the two news sources given

= Subscribe News Magazine and not subscribe Daily Informer or subscribe Daily informer and not subscribe News Magazine

= (N\cap D^c)\cup (D\cap N^c)

=( N^c \cap D ) \cup ( N \cap D^c )

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A physicist examines 25 water samples for nitrate concentration. The mean nitrate concentration for the sample data is 0.165 cc/
xz_007 [3.2K]

Answer:

The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).

Critical value t=1.318

Step-by-step explanation:

We have to calculate a 80% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=0.165.

The sample size is N=25.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{0.078}{\sqrt{25}}=\dfrac{0.078}{5}=0.016

The degrees of freedom for this sample size are:

df=n-1=25-1=24

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=1.318 \cdot 0.016=0.021

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 0.165-0.021=0.144\\\\UL=M+t \cdot s_M = 0.165+0.021=0.186

The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).

6 0
3 years ago
Helppppp meeee pleaseeee in horrible at math
rosijanka [135]
Circumference = 2×3.14×r
3.14 is pie and r is the radius.
To find the radius you divide the diameter by 2.
19 ÷ 2 = 9.5
2×3.14×9.5 = 59.66
Multiply 59.66 by 6 because ther are 6 pennies.

59.66 × 6 = 357.96 mm.
4 0
2 years ago
The United states currently has 50 states.What fraction of the states had become a part of the United States by 1795? (15) Write
Kryger [21]

Answer:

There are currently 50 states in the United States.

The number of states in 1795 in the United States = 15

Now, the fraction of the states that had become a part of the United States by 1795 is given below:

\frac{15}{50}=\frac{3}{10}



4 0
3 years ago
HELP <br> M Y BRO HE NEEDS HELP
Vikentia [17]

Answer:

4,2

Step-by-step explanation:

Isosceles mean two sides are same

My Question:

Why were there so many people on this question?

6 0
3 years ago
Solve the system.<br> 2x+y = 3<br> -2y = 14 - 6x
bezimeni [28]

Answer:

The solution is: (2, -1)

Step-by-step explanation:

First we rewrite the second system equation

-2y = 14 - 6x   →   6x-2y=14

Now we have the following system of equations:

2x+y = 3

6x-2y=14

To solve the system multiply the first equation by -3 and add it to the second equation

-6x+-3y = -9

6x-2y=14

--------------------------------------

0-5y=5

y=-1

Now we substitute the value of y in the first equation and solve for x

2x-1 = 3

2x= 4

x= 2

The solution is: (2, -1)

5 0
3 years ago
Read 2 more answers
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