Answer:
The 99% confidence interval of the standard deviation of the pulse rates of men is
Step-by-step explanation:
From the question we are told that
The sample size is n = 40
The mean is
The standard deviation is
Generally the degree of freedom is mathematically represented as
=>
=>
From the question we are told the confidence level is 99% , hence the level of significance is
=>
Generally from the chi distribution table the critical value of at a degree of freedom of is
Generally from the chi distribution table the critical value of at a degree of freedom of is
Generally the 99% confidence interval of the standard deviation of the pulse rates of men is mathematically represented as
=>
=>
Answer:
1.8
Step-by-step explanation:
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>
i think it's the first option since the others make no sense
we are given
position function as
Since, we have to find velocity
so, we will find derivative with respect to t
now, we can plug t=1
.................Answer