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iogann1982 [59]
2 years ago
7

Which description matches the graph of the inequality y > -X - 3?

Mathematics
1 answer:
Montano1993 [528]2 years ago
4 0
Y is larger than minus x minus 3??
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The perimeter of the rectangle below is 16 Solve for X​
Mrac [35]

Answer:

x = 5

Step-by-step explanation:

The opposite sides of a rectangle are equal , then perimeter

2(- 2x - 6) + 2(4x + 4) = 16 ← distribute parenthesis and simplify left side

- 4x - 12 + 8x + 8 = 16

4x - 4 = 16 ( add 4 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

4 0
3 years ago
Read 2 more answers
Find the number of 3-digit numbers formed using the digits 1 to 9, without repetition, such the numbers either have all digits l
Tasya [4]

Answer: 120

Step-by-step explanation:

The total number of digits from 1 to 9 = 10

The number of digits from less than 5 (0,1,2,3,4)=5

Since repetition is not allowed so we use Permutations , then the number of 3-digit different codes will be formed :-

^5P_3=\dfrac{5!}{(5-3)!}=\dfrac{5\times4\times3\times2!}{2!}=5\times4\times3=60

The number of digits from greater than 4 (5,6,7,8,9)=5

Similarly, Number of 3-digit different codes will be formed :-

^5P_3=60

Hence, the required number of 3-digit different codes = 60+60=120

3 0
3 years ago
A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest
Degger [83]

Answer:

  8.89 feet

Step-by-step explanation:

The square of the side length is 79 ft², so the side length is the square root of that:

  √(79 ft²) ≈ 8.88819 ft ≈ 8.89 ft

3 0
3 years ago
A random variableX= {0, 1, 2, 3, ...} has cumulative distribution function.a) Calculate the probability that 3 ≤X≤ 5.b) Find the
olchik [2.2K]

Answer:

a) P ( 3 ≤X≤ 5 ) = 0.02619

b) E(X) = 1

Step-by-step explanation:

Given:

- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:

                    F(X) = P ( X =< x) = 1 - \frac{1}{(x+1)*(x+2)}

Find:

a.Calculate the probability that 3 ≤X≤ 5

b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that

Solution:

- The CDF gives the probability of (X < x) for any value of x. So to compute the P (  3 ≤X≤ 5 ) we will set the limits.

                   F(X) = P ( 3=

- The Expected Value can be determined by sum to infinity of CDF:

                   E(X) = Σ ( 1 - F(X) )

                   E(X) = \frac{1}{(x+1)*(x+2)} = \frac{1}{(x+1)} - \frac{1}{(x+2)} \\\\= \frac{1}{(1)} - \frac{1}{(2)}\\\\= \frac{1}{(2)} - \frac{1}{(3)} \\\\=  \frac{1}{(3)} - \frac{1}{(4)}\\\\= ............................................\\\\=  \frac{1}{(n)} - \frac{1}{(n+1)}\\\\=  \frac{1}{(n+1)} - \frac{1}{(n+ 2)}

                   E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]  

                   E(X) = 1

8 0
2 years ago
Lacey picks blueberries and raspberries from her garden. She has 1/5 as many pounds of blueberries as raspberries. If she picks
murzikaleks [220]

Answer:

1/5 + 1 4/5 = x.

Step-by-step explanation:

3 0
2 years ago
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