Zapisz odpowiedzi w postaciach wyrażeń alegebraicznych:

And amusement parks his child and adult tickets on a ratio of 8 to 1 on Saturday they sold 147 more child tickets then adult tic

BARSIC [14]

Dosen't make sense.. 8-1?

6 0

3 years ago

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It is reported that 25% of the flights arriving at the Washington Dulles airport in January 2008 were late. Assume the populatio

lawyer [7]

Answer:

$P(0.22$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

For this case the standard error is given by:

$SE =\sqrt{\frac{p(1-p)}{n}} =\sqrt{\frac{0.25(1-0.25)}{625}}=0.0173$

Solution to the problem

For this case we want to find the probability that the sample proportion will be within +-.03 of the population proportion like this:

$P(0.25-0.03 < p< 0.25+0.03) =P (0.22$

And for this case we can use the following z score:

$z = \frac{\hat p - p}{SE_{p}}$

And using this formula we got:

$P(0.22$

And we can find this probability like this:

$P(-1.732$

8 0

3 years ago

35x2 + 63x4<br> Helppppppppppppppp

umka21 [38]

Answer:

Step-by-step explanation:

4 0

3 years ago

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It takes mike 30 minutes to get to work, and 30 minutes to get back

madreJ [45]

Answer: one hour aka 1hr

Step-by-step explanation:

5 0

2 years ago

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Find a vector equation and parametric equations for the line segment that joins p to q.P(0, - 1, 1), Q(1/2, 1/3, 1/4)

lakkis [162]

Answer:

vector equation:

$\overrightarrow{PQ}=\begin{bmatrix}1/2}\\4/3\\-3/4\end{bmatrix}$

parametric equations:

$r_x = \dfrac{1}{2}t\\r_y = -1 +\dfrac{4}{3}t\\r_z = 1=\dfrac{3}{4}t$

Step-by-step explanation:

The coordinates of the points are given as:

P(0,-1,1) and Q(1/2,1/3,1/4)

the coordinates of any points are also position vectors (vectors starting from the origin to that point), and can be represented as:

$\overrightarrow{OP} = 0\hat{i}-1\hat{j}+1\hat{k}$

or

$\overrightarrow{OP} = \begin{bmatrix}0\\-1\\1\end{bmatrix}$

similarly,

$\overrightarrow{OQ} =\dfrac{1}{2}\hat{i}+\dfrac{1}{3}\hat{j}+\dfrac{1}{4}\hat{k}$

or

$\overrightarrow{OQ} = \begin{bmatrix}1/2}\\1/3\\1/4\end{bmatrix}$

the vector PQ can be described as:

$\overrightarrow{PQ}=\overrightarrow{OQ}-\overrightarrow{OP}$

$\overrightarrow{PQ}=\begin{bmatrix}1/2}\\1/3\\1/4\end{bmatrix}-\begin{bmatrix}0\\-1\\1\end{bmatrix}$

$\overrightarrow{PQ}=\begin{bmatrix}1/2}\\4/3\\-3/4\end{bmatrix}$

this is the vector equation of the line segment from P to Q.

to make the parametric equations:

we know that the general equation of a line is represented as:

$\overrightarrow{r} = \overrightarrow{r_0} + t\overrightarrow{d}$

here, $\overrightarrow{r_0}$ : is the initial position or the starting point. in our case it is the position vector of P

and $\overrightarrow{d}$ : is the direction vector or the direction of the line. in our case that's PQ vector.

$\overrightarrow{r} = \begin{bmatrix}0\\-1\\1\end{bmatrix} + t\begin{bmatrix}1/2}\\4/3\\-3/4\end{bmatrix}$

that parametric equations can now be easily formed:

$\begin{bmatrix}r_x\\r_y\\r_z\end{bmatrix} = \begin{bmatrix}0\\-1\\1\end{bmatrix} + t\begin{bmatrix}1/2}\\4/3\\-3/4\end{bmatrix}$

$r_x = \dfrac{1}{2}t\\r_y = -1 +\dfrac{4}{3}t\\r_z = 1=\dfrac{3}{4}t$

these are the parametric equations of the line PQ

4 0

3 years ago