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1 year ago

Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?

Mathematics

1 answer:

kvasek [131]1 year ago

3 0

Answer: Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.

To determine if a function is even, we need to check if f(-x)=f(x).

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Find the length of UW(with a line over it) if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.

stealth61 [152]

Answer:

8.9 cm

Step-by-step explanation:

We have
$\overline {UV} = 16.8 cm\\\\\overline {WV} = 7.9 cm\\\\ Since all lines are scalars, \overline{WV} = \overline{VW}\\\textrm{We see that \overline{UW} + \overline{WV} = \overline{UV}\\\\\overline {UW} \\ = \overline {UV} - \overline {WV} = 16.9 - 7.9 = 8.9 cm}$

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10 months ago

The switchboard in a Minneapolis law office gets an average of 5.5 incoming phone calls during the noon hour on Mondays. Experie

trasher [3.6K]

Answer:

2.35 calls

Step-by-step explanation:

The presented scenario can be modeled by a Poisson distribution with an average number of calls (μ) of 5.5 during the noon hour on Mondays.

Therefore, the standard deviation for the number of calls received, X, is given by:

$\sigma =\sqrt \mu\\\sigma =\sqrt5.5\\\sigma =2.35\ calls$

The standard deviation of X is 2.35 calls.

3 0

2 years ago

Read 2 more answers

For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

Recall that for $X\sim\mathrm{Bin}(n,p)$ , i.e. a random variable $X$ following a binomial distribution over $n$ trials and with probability parameter $p$ ,

$\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

So you have

$\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26$

$\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)$
$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
$=\dfrac{375}{1024}\approx0.37$

The expected value of $X\sim\mathrm{Bin}(n,p)$ is simply $np$ , while the standard deviation is $\sqrt{np(1-p)}$ . In this case, they are $\dfrac54=1.25$ and $\sqrt{\dfrac{15}{16}}\approx0.97$ , respectively.

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2 years ago

Simplify b^2/3a^-4 what's the answer

Andru [333]

Combine like terms. Is there a picture for this?

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2 years ago

Read 2 more answers

Please help. me with this

telo118 [61]

lol I'm in grade four , sorry I don't know

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3 years ago