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3 years ago

What is the perimeter of an isosceles triangle with base of 13 m and congruent sides of 9 m?

Mathematics

2 answers:

german3 years ago

4 0

<span>9+9+13

Perimeter= sum of all sides

Answer = 31</span>

Artemon [7]3 years ago

3 0

13 m + 9 m + 9 m = 31 m

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Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are sel

serious [3.7K]

Complete Questions:

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers.

a. 40

b. 48

c. 56

d. 64

Answer:

a. 0.35

b. 0.43

c. 0.49

d. 0.54

Step-by-step explanation:

(a)

The objective is to find the probability of selecting none of the correct six integers from the positive integers not exceeding 40.

Let s be the sample space of all integer not exceeding 40.

The total number of ways to select 6 numbers from 40 is $|S| = C(40,6)$ .

Let E be the event of selecting none of the correct six integers.

The total number of ways to select the 6 incorrect numbers from 34 numbers is:

$|E| = C(34,6)$

Thus, the probability of selecting none of the correct six integers, when the order in which they are selected does rot matter is

$P(E) = \frac{|E|}{|S|}$

$= \frac{C(34, 6)}{C(40, 6)}\\\\= \frac{1344904}{3838380}\\\\=0.35$

Therefore, the probability is 0.35

Check the attached files for additionals

8 0

3 years ago

What is the x-coordinate of the solution

Brut [27]

Answer:

x=-4

Step-by-step explanation:

3 0

3 years ago

What is the value of this expression -15-(-4)+17

Doss [256]

$\sf\implies \: - 15 - ( - 4) + 17$

$\sf \implies \: - 15 + 4 + 17$

$\sf \implies \: - 15 + 21$

$\boxed{ \tt \: ans \dashrightarrow 6}$

<h3>Remember these laws of integers:</h3>

(+)(-)=(-)
(-)(+)=(-)
(-)(-)=(+)
(+)(+)=(+)

7 0

2 years ago

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From the given information, find the value of x.

igor_vitrenko [27]

Answer:

X=45

Step-by-step explanation:

Lines AC and CD meet at a right angle so you half 90 =45

7 0

3 years ago

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Please answer fully>>>

svet-max [94.6K]

Let the function be represented by f(x).

Multiplying the number x by 4 results in 4x. Subtracting 2 from results give 4x - 2. So the function becomes:

f(x) = 4x - 2

Finding the inverse function:

Replace f(x) by y, and isolate x on one side of the equation and find the inverse:

$y = 4x - 2\\\\ y + 2 = 4x\\\\ x = \frac{1}{4}(y + 2)\\ \\ f^{-1}(y)=\frac{1}{4}(y + 2)\\ \\ f^{-1}(x)=\frac{1}{4}(x + 2)$

Yes the inverse function represents the reverse process. Original function involved multiplication by 4 and then subtraction of 2. Inverse function involves addition of 2 and then division by 4. So the inverse represents the reverse of the given process.

8 0

3 years ago

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