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Pavel [41]
4 years ago
6

Given A = {a, b, c}, how many subsets does A have including ∅? a. 4 b. 7 c. 8

Mathematics
1 answer:
djverab [1.8K]4 years ago
8 0
A set of n elements has 2^n subsets.

There are 3 elements in the set A, so the number of subsets is 2^3=8

You can write them out:
\{\{\}, \{a\}, \{b\}, \{c\}, \{a, b\}, \{a, c\}, \{b, c\}, \{a, b, c\}\}
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Please answer my question
gregori [183]

Answer:

180 667 777 98827

Step-by-step

the graaph has three differnt lines that connet

4 0
3 years ago
A car is moving with an initial velocity of 10 mph accelerates at the rate of a(t)=2.5t mph per second for 5 seconds. How fast i
Rom4ik [11]

Answer:

The car is going up at a speed of 22.5 mph

Step-by-step explanation:

In this question, we are asked to calculate the speed of a moving car which started moving at an initial velocity for a specific period of time.

To calculate this, we use one of the basic equations of motion;

v = u + at

Where v is the final velocity, u is the initial velocity and t is the time

From the question, we can identify the parameters as follows;

v = ?

u = 10mph

a = 2.5t mph per second for 5 seconds.

Hence a here would be 2.5 * 5 = 12.5

Now, let’s put these values in the equation

v = 10 + 12.5

v = 22.5 mph

3 0
3 years ago
Read 2 more answers
Since an instant replay system for tennis was introduced at a majorâ tournament, men challenged 1399 refereeâ calls, with the re
prohojiy [21]

Answer: The value of test statistic is 0.696.

Step-by-step explanation:

Since we have given that

n_1=1399\\\\x_1=411\\\\p_1=\dfrac{x_1}{n_1}=\dfrac{411}{1399}=0.294

Similarly,

n_2=759, x_2=211\\\\p_2=\dfrac{x_2}{n_2}=\dfrac{211}{759}=0.278

At 0.01 level of significance.

Hypothesis are :

H_0:P_1=P_2=0.5\\\\H_a:P_1\neq P_2

So, the test statistic value would be

z=\dfrac{(p_1-p_2)-(P_1-P_2)}{\sqrt{\dfrac{P_1Q_1}{n_1}+\dfrac{P_2Q_2}{n_2}}}\\\\z=\dfrac{0.294-0.278}{\sqrt{0.5\times 0.5(\dfrac{1}{1399}+\dfrac{1}{759})}}\\\\z=\dfrac{0.016}{0.023}=0.696

Hence, the value of test statistic is 0.696.

3 0
3 years ago
Please give me the answer
Lunna [17]

Answer:

37°

Step-by-step explanation:

As we know the sum of angles of a triangle is 180  degrees.

Therefore,

angle A + angle B + angle C = 180°

In the given picture two angles are given and we have to find out the third angle.

x° + 45° + 98° = 180°

x° + 143° = 180°

x° = 180° - 143°

x° = 37°

The value of x in the triangle shown is 37°.

3 0
3 years ago
Which situation can be represented by the expression<br> 1/4 * 5
Juliette [100K]
I am making one________________

Katy has 5 cakes with each cake having 1/4 of a whole left. How many pieces does Katy have in all?


6 0
3 years ago
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