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OlgaM077 [116]
3 years ago
13

Which graph represents the solution set of the system of inequalities? {y≤2x+1y>−2x−3

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

we have

------> inequality A

The solution of the inequality A is the shaded area below the solid red line

see the attached figure N      

------> inequality B

The solution of the inequality B is the shaded area above the dotted blue line

see the attached figure N  

therefore

The solution of the system of inequalities is the shaded area between the solid red line and the dotted blue line

see the attached figure N  

therefore

the answer in the attached figure N  

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PLZ HELP ME ASAP!!!!!!
ankoles [38]

Answer:

10xline y=46

Step-by-step explanation:

this is what i got dont thank me im not the best at math

6 0
3 years ago
Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the fiv
Nesterboy [21]

Answer:

a) It is probability distribution

b) mean = 2.5

c) Standard Deviation = 1.11

Step-by-step explanation:

We are given the following in the question:

x          0           1           2         3          4          5

P(x)  0.033   0.149   0.318   0.318   0.149   0.033

Probability distribution:

\displaystyle\sum P_i(x_i) = 0.033+ 0.149 +0.318+ 0.318+ 0.149 +0.033 = 1

Since, the summation of all the probabilities is 1 and each value of probability is between 0 and 1, the given is a probability distribution.

Mean of probability distribution:

E(x) = \displaystyle\sumx_iP(x_i)\\E(x) = 0(0.033)+ 1(0.149)+2(0.318)+3(0.318) +4(0.149) + 5(0.033)\\E(x) = 2.5

Thus, the mean of distribution is 2.5

Standard deviation of probability distribution:

E(x^2) = 0^2(0.033)+ 1^2(0.149)+2^2(0.318)+3^2(0.318) +4^2(0.149) + 5^2(0.033)\\E(x^2) = 7.492\\\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 7.492 - (2.5)^2 = 1.242\\\sigma= \sqrt{1.242} = 1.11

Thus, the standard deviation of the probability distribution is 1.11

5 0
4 years ago
What are the solutions to the equation (x + 2)^2 = 49?
Mekhanik [1.2K]

Answer:

X= 5, -9

Step-by-step explanation:

(X+2)² =49

Expand the bracket,


(X+2) (X+2)= 49

Apply the distributive property;

X(X+2) +2 (X+2) =49

X²+2X+2X+4=49

X²+4X+4=49

Move 49 to the left side of the equation;

X²+4X+4-49=0

X²+4X-45=0

Apply Factorisation method;

Consider the form

a²+bx+c=0  

Find two numbers whose sum is equal to b and whose product is equal to c.
Comparing with our equation;

B =4 and C =45

We can use 9 and -5, this is because ;

9+(-5)=4 and 9*(-5)= 45.

Replace X +4X-45=0 with (X-5) (X+9)=0

Therefore;

X-5=0

X+9=0

Moving to the left side of the equation;

Therefore X= 5 and -9

8 0
3 years ago
Read 2 more answers
Why is a cube root of a negative is always a negative? Need help! Thanks!
Fed [463]
A cube root is representaive of reverse mutiplication. E.g Square root of 4 is 2 (2x2)
Using this, we can see that anytime 3 negatives are multiplied, the answer will always be negative.
7 0
3 years ago
 The music teacher would like to have the same number of girls and of boys in the chorus. She finds that 5 8 of the chorus are g
ExtremeBDS [4]

106 students are in chorus.

About 110/200 students are in chorus.

6 0
3 years ago
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