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nadezda [96]
2 years ago
13

The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario. Fran sp

un the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded?
a.The flight will be late all three days.
b.The flight will be on time all three days.
c.The flight will be late on one of the three days.
d.The flight will be on time on one of the three days.
Mathematics
2 answers:
damaskus [11]2 years ago
7 0

Answer:

Choice C; The flight will be late on one of the three days.

Step-by-step explanation:

The flight is 75% of the time. This means that out of 4 flights, 3 are on time and  the result of Franc's spinner should reflect this fact, i.e his spinner should give 75% probability of flights on time.

Choice A says the flight is on time 0% of the time, This is not true, therefore this is not a correct interpretation of the three spins.

Choice B says the flight is on time 100% of the time, This is not true, therefore this is not a correct interpretation of the three spins.

Choice C says the flight is on time 66% of the time, which is close to 75%. Therefore this choice is close and correct.

Choice D says the flight is on time 30% of the time, This is not true, therefore this is not a correct interpretation of the three spins.

Thus only choice C is correct.

Andrei [34K]2 years ago
5 0

Answer:

its C

Step-by-step explanation:

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According to industry sources, online banking is expected to take off in the near future. The projected number of households (in
Airida [17]

Answer:

(a) The least-square regression line is: y=4.662+2.709x.

(b) The number of households using online banking at the beginning of 2007 is 31.8.

Step-by-step explanation:

The general form of a least square regression line is:

y=\alpha +\beta x

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

(a)

The formula to compute intercept and slope is:

\begin{aligned}        \alpha  &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}  \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        \end{aligned}

The values of ∑<em>X</em>, ∑<em>Y</em>, ∑<em>XY</em> and ∑<em>X</em>² are computed in the table below.

Compute the value of intercept and slope as follows:

\begin{aligned}        \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 68.6 \cdot 55 - 15 \cdot 218.9}{ 6 \cdot 55 - 15^2} \approx 4.662 \\ \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 218.9 - 15 \cdot 68.6 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 2.709\end{aligned}

The least-square regression line is:

y=4.662+2.709x

(b)

For the year 2007 the value of <em>x</em> is 10.

Compute the value of <em>y</em> for <em>x</em> = 10 as follows:

y=4.662+2.709x

  =4.662+(2.709\times10)\\=4.662+27.09\\=31.752\\\approx 31.8

Thus, the number of households using online banking at the beginning of 2007 is 31.8.

5 0
3 years ago
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