Find an equation for the nth term of the arithmetic sequence. -20, -16, -12, -8, ...

Mathematics

2 answers:

liq [111]3 years ago

5 0

Common difference = -16-(-20) = 4
nth term = -20+(n-1)4

Elza [17]3 years ago

3 0

Answer:

-4

Step-by-step explanation:

that is the nth termmmmm

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I’m short word form 2,000,000+500,000+30,000+5,000+8

sasho [114]

Answer:

2,535,008

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4 0

2 years ago

The amount of time Ricardo spends brushing his teeth follows a Normal distribution with unknown mean and standard deviation. Ric

Papessa [141]

Let $X$ denote the number of minutes spent brushing his teeth, and let $\mu$ be the mean and $\sigma$ the standard deviation for this distribution.

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The z-score corresponding to this probability is approximately $z=-0.2533$ , which means

$\dfrac{1-\mu}\sigma=-0.2533\iff\mu-0.2533\sigma=1$

Next, (note the sign change)

$\mathbb P(X>2)=0.02\implies\mathbb P(X\le2)=\mathbb P\left(\dfrac{X-\mu}\sigma\le\dfrac{2-\mu}\sigma\right)=0.98$

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$\dfrac{2-\mu}\sigma=2.0538\iff\mu+2.0538\sigma=2$

Solving the two equations for $\mu$ and $\sigma$ , you'll find that the mean is approximately $\mu=1.1098$ and the standard deviation is approximately $\sigma=0.4334$ .