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3 years ago

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Here is another riddle: The sum of two numbers is less than 2. If we subtract the second number from the first, the difference i

s greater than 1. What are the two numbers? The riddle can be represented by a system of inequalities. Write an inequality for each statement.

1 answer:

aivan3 [116]3 years ago

4 0

Answer:

Let x, y be the two numbers under consideration. Then, x+y<2 and x-y>1.

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39-(-46)+29= show steps

Leno4ka [110]

Basically your negatives beside each other turn into a positive because two negatives equals a positive

8 0

3 years ago

Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP

BARSIC [14]

Step-by-step explanation:

The 2 lines are parallel to each other which means that angle #5 and 93° are alternate interior angles so by definition, they are equal. Hence angle 5 = 93°

8 0

2 years ago

taurus [48]

Answer:

Slope = 2

Step-by-step explanation:

(1,3) and (3,7)

m = (7-3)/3-1)

= 4/2

= 2

5 0

2 years ago

Please help me ive been stuck on this question for days! Thank you

Zielflug [23.3K]

Okay, so this is basically telling you that there is no solution. You don't have to worry about there being one. You just have to justify (or explain) why there isn't one.

Basically, neither y or x is equal to anything. You couldn't make x equal to a value in y because x and y are both together in the equation and equal to numbers.

We can always move a factor to the other side. So,

x-2y= -8

Add 2y to the other side.

x= -8+2y

Now, plug in -8+2y as x.

3(-8+2y)- 6y=-12

-24+6y-6y= -12

The 6y's cancel out. So, we can't figure out what y is.

-24=-12 <- no y.

These two lines are parallel. They have direct proportion in each other. That is why there is no solution because the lines never cross. Parallel lines do not cross.

I hope this helps!
~kaikers

6 0

3 years ago