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3 years ago

14

Rodrigo traveled at an average speed of 55 miles per hour for 5 hours to get from one national park to the next on his vacation.

What is the distance between the national parks?

1 answer:

goblinko [34]3 years ago

7 0

275 miles

Explanation: take 55 miles per hour times the number of hours (5 hours as listed in problem)

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Reposting this because no body gave me the equation. An equation would be appreciated :)

o-na [289]

bring the like terms together,

$\frac{6q}{5} + \frac{4q}{5} \leqslant 28 + 3 + 3 - 3$

$\frac{10q}{5} \leqslant 31$

$2q \leqslant 31$

$q \leqslant \frac{31}{2}$

3 0

3 years ago

Read 2 more answers

Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,

IrinaK [193]

Answer:

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

Step-by-step explanation:

We are given the following data in the question:

10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{225}{15} = 15$

Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128

$S.D = \sqrt{\dfrac{128}{14}} = 3.02$

Empirical rule:

According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
About 68% of data lies within one standard deviation of the mean.
About 95% of data lies within two standard deviations of mean.
Arround 99.7% of data lies within three standard deviation of mean.

Thus, by empirical rule,

$\mu \pm 1\sigma = 15\pm (3.02) = (11.98,18.02)$

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

5 0

3 years ago

Which of these is the graph of −2−3i ?

Sav [38]

Answer:

-2-3i in the complex plane would be 2 units to the right of the origin and

3 units below the Real number line.

Step-by-step explanation:

Think of the complex plane as being the Cartesian plane but with the X-axis replaced by the Real component of a complex number and the Y-axis replaced by the imaginary component.

3 0

3 years ago

What shows the equation 12x +4y=140 in general form

baherus [9]

If general form means y=mx+b form then your answer would be B

3 0

3 years ago

Deep's property tax is $690.65 and is due April 15. He does not pay until July 6. The county adds a penalty of 7.3% simple int

bazaltina [42]

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$690.65\\
r=rate\to 7.3\%\to \frac{7.3}{100}\to &0.073\\
t=years\to &\frac{15+31+30+6}{365}
\end{cases}$

the penalty he'll incurred into, since July 6 is after the deadline of April 15, is I = Prt

now "t" is in years, how many days after April 15 to July 6? well, 15 + 31 + 30 +6, to convert to years, divide by 365

3 0

3 years ago