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erica [24]
3 years ago
6

Numbers 11-14 pls I’m having a lot of trouble

Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0

The term "closed" in math means that if you take two items from a set, do some operation, then you'll always get another value in the same set (sometimes you may get the same value as used before). For example, adding two whole numbers leads to another whole number. We therefore say "the set of whole numbers is closed under addition". This applies to integers as well because integers are positive and negative whole numbers. So we can say that integers are closed under addition.

Integers are not closed under division. Take two integers like 2 an 5 and divide: 2/5 = 0.4 which is not an integer. Integers don't have decimal parts.

The set of whole numbers is {0,1,2,3,...} and we can subtract the two values 1 and 2 to get 1-2 = -1. The order matters here. Subtracting a larger value from a smaller leads to a negative. The value -1 is not in the set of whole numbers. So we can say that whole numbers is not closed under subtraction

Finally, the set of irrational numbers is closed under addition. Adding any two irrational numbers leads to another irrational number. For instance, pi+sqrt(2) = 3.142 + 1.414 = 4.556; I'm using rounded decimals as approximate values. An irrational number is one where we cannot write it as a fraction of integers. Contrast that with a rational number in which we can write it as a fraction of integers. Example: 10 = 10/1 is a rational number.

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Half x s for s equals 3/10
777dan777 [17]
1/2 x s, where s equals 3/10 means,

(1/2) x (3/10) which will give (3/20)

You simply multiply the numerators to get 3 and the denominators to get 20.
8 0
3 years ago
Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court
Ksju [112]

Answer:

(a)\dfrac{92}{117}

(b)\dfrac{8}{39}

(c)\dfrac{25}{117}

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed)=P(MW)+P(WM)

=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.
  • Two women are appointed

P(at least one woman is appointed)=P(MW)+P(WM)+P(WW)

P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}

In Part B, P(MW)+P(WM)=\frac{8}{39}

Therefore:

P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}

5 0
3 years ago
What is the sum of the measures of the interior angles of this heptagon? A 7-sided figure. 720 degrees 900 degrees 1,080 degrees
NeTakaya

Answer:

900°

Step-by-step explanation:

interior angles of a polygon = (n−2)×180°, where n is number of sides

for heptagon it is: (7-2)×180°= 900°

8 0
3 years ago
Read 2 more answers
Brian and Steve want to compare the prices of their favorite cereals to determine which is less expensive. The table below shows
Nitella [24]

Answer:

Step-by-step explanation:

it wasx^{2} \int\limits^a_b {x} \, dx \geq \left \{ {{y=2} \atop {x=2}} \right. \leq \int\limits^a_b {x} \, dx  \lim_{n \to \infty} a_n \sqrt[n]{x} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \neq \\ \geq \geq \neq \geq \\ \leq \leq \neq \neq \leq \geq x^{2} \int\limits^a_b {x} \, dx \neq  \lim_{n \to \infty} a_n \sqrt[n]{x} \frac{x}{y} x_{123} \beta

4 0
3 years ago
What is the area of a circle with a diameter of 16.2 in.?
Mumz [18]

Answer

206.02

Step-by-step explanation:

r=d/2

=16.2/2=8.1

3.12*8.1*8.1=206.0154

to the nearest hundred=206.02

3 0
3 years ago
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