Answer:
x<-3 or x>2, 2<x<-3
Step-by-step explanation:
Subtract/add from each side then divide, if dividing by a negative reverse the sign.
Answer:
140 !!
Step-by-step explanation:
hope this helps :)
Write the equation
popcorn, x
drinks, y
51.25 = 5x + 5y
122.25 = 15x + 8y
<span>Multiply the 1st row by 3
</span><span>15x+15y=153.75</span>
<span><span><span>15x+8y=122.25</span>1
</span></span><span>Subtract the 2nd row from the 1st row
</span>7y=31.<span>5
</span>Divide both sides by <span><span>7
</span></span>y=<span><span><span>31.5</span></span><span>/7
simplify
y = 4.5
</span></span>Substitute <span>y=4.5</span><span> into any of the two equations above
Let's pick the first equation
</span><span><span><span>15x+15y=153.75
</span></span></span>15x+15(4.5)=153.75
<span>Simplify
</span>15x+67.5=153.7<span>5
</span>Subtract <span>67.5</span> from both sides
15x=153.75−67.<span>5
</span><span>Simplify
</span><span>15x=86.25</span>
Divide both sides by <span><span><span>15
</span></span></span><span>x=<span><span><span>86.25</span></span><span>/15
Simplify
</span></span></span><span><span>x=5.75
Therefore,
</span></span><span>x=5.75</span>
<span><span><span>y=4.5
Follow along on a piece of paper, it'll help you get it.</span></span></span>
Answer:
B) 1.622 to 1.778 includes the mean of the population beta.
Step-by-step explanation:
We have the standard deviation for the sample, so the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.9842
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.7 - 0.078 = 1.622.
The upper end of the interval is the sample mean added to M. So it is 1.7 + 0.078 = 1.778.
Thus the correct answer is given by option B.
If h have 2 to be left it will be 2 to the power of 5