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elena55 [62]
3 years ago
11

PLEASE HELP WITH MATH!!!!!!! 60 points and brainliest!!!!!!

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
5 0

Answer:  The inequalities are solved below.

Step-by-step explanation:  We are given to solve the following inequalities:

(1) The first inequality is :

5x

The solution is as follows:

5x

Thus, (c) x < 4 is the correct solution.

(2) The second inequality is :

12x

The solution is as follows:

12x

Thus, (c) x < 2 is the correct solution.

(4) The fourth inequality is :

13x-4

The solution is as follows:

13x-4

Thus, (a) x < 3 is the correct solution.

(4) The fourth inequality is :

13x-4

The solution is as follows:

13x-4

Thus, (a) x < 3 is the correct solution.

(5) The fifth inequality is :

3-5(2x+1)\geq 10.

The solution is as follows:

3-5(2x+1)\geq 10\\\\\Rightarrow 3-10x-5\geq 10\\\\\Rightarrow -10x-2\geq 10\\\\\Rightarrow -10x\geq 12\\\\\Rightarrow 10x\leq -12\\\\\Rightarrow x\leq -\dfrac{6}{5}.

Thus, (b) x\leq -\dfrac{6}{5} is the correct solution.

(6) The sixth inequality is :

7(x-2)

The solution is as follows:

7(x-2)

Thus, (a) x is the correct solution.

Thus, all the inequalities are solved.

bearhunter [10]3 years ago
3 0
1. subtract over the x on the right side of the inequality so you get 4x<16  divide 4 over to get x alone the inequality turns into x<4.
2. subtract over the x on the right side so you get 11x<22 divide over 11 to get x<2 
3. Add over 10 to get -8x>7x+30 subtract over 7x to get -15x>30 divide by -15 to get x<-2 make sure to flip over the sign since you're dividing by a negative 
4. Add over the 4 to get 13x<12x+3 subtract over 12 and get x<3
5. I can't solve five since their is no inequality sign, the answers show it both ways so i need a starting one to go off on but it is either A or B just flip over the original sign and that will be the answer .
6. Distribute the 7 to get 7x-14<-5 add over the 14 and get 7x<9 divide over the 7 and get x<9/7

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ehidna [41]

Answer:

P(X>1000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(950,50)  

Where \mu=950 and \sigma=50

We are interested on this probability

P(X>1000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>1000)=P(\frac{X-\mu}{\sigma}>\frac{1000-\mu}{\sigma})=P(Z>\frac{1000-950}{50})=P(z>1)

And we can find this probability using the complement rule and the normal standard table and we got:

P(z>1)=1-P(z

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3 years ago
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jasenka [17]

Answer:

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Step-by-step explanation:

310

-10

-----

300

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