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Serjik [45]
3 years ago
5

70 students at a school were asked to complete a survey about the location of their next field trip. 28 students chose the zoo a

nd 33 students chose the amusement park. The remaining students did not complete the survey. Which expression gives the percent of survey participants who chose the zoo?
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Step-by-step explanation:

28 / (28 + 33) = .4 = 40%


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3 years ago
Express the complex number in trigonometric form. -6 + 6 square root of 3 i ?
bagirrra123 [75]
\bf \begin{array}{clclll}
-6&+&6\sqrt{3}\ i\\
\uparrow &&\uparrow \\
a&&b
\end{array}\qquad 
\begin{cases}
r=\sqrt{a^2+b^2}\\
\theta =tan^{-1}\left( \frac{b}{a} \right)
\end{cases}\qquad r[cos(\theta )+i\ sin(\theta )]\\\\
-------------------------------\\\\

\bf r=\sqrt{(-6)^2+(6\sqrt{3})^2}\implies r=\sqrt{36+(6^2\cdot 3)}\implies r=\sqrt{144}
\\\\\\
r=12\leftarrow 
\\\\\\
\theta =tan^{-1}\left( \frac{6\sqrt{3}}{-6} \right)\implies \theta =tan^{-1}\left( -\sqrt{3}\right)\implies \theta =
\begin{cases}
\frac{2\pi }{3}\leftarrow \\
\frac{5\pi }{3}
\end{cases}

now, notice, there are two valid angles for such a tangent, however, if we look at the complex pair, the "a" is negative and the "b" is positive, that means, "x" is negative and "y" is positive, and that only occurs in the 2nd quadrant, so the angle is in the second quadrant, not on the fourth quadrant.

thus         \bf 12\left[cos\left( \frac{2\pi }{3} \right) +i\ sin\left( \frac{2\pi }{3} \right) \right]
5 0
3 years ago
A set of average city temperatures in July are normally distributed
Archy [21]

Answer:

a) 59.87%

Step-by-step explanation:

Given that the mean temperature (μ) = 23.5°C and the standard deviation (σ) is 2 °C.

The z score is used in statistics to measure number of standard deviation by which the raw score is above or below the mean value, It is calculated using the equation:

z=\frac{x-\mu}{\sigma}

The average temperature of the City of Van Nuys is 23 degrees. The z score is

z=\frac{x-\mu}{\sigma}=\frac{23-23,5}{2} =-0.25

P(x > 23) = P(z > -0.25) = 1 - P(z < -0.25) = 1 - 0.4013 = 0.5987 = 59.87%

3 0
3 years ago
Simplify the expression –3(x 3)2 – 3 3x. what is the simplified expression in standard form?
777dan777 [17]

-3(x^{2} +5x+10) is the standard form of the given expression

The given expression is:

=-3(x+3)^{2} -3+3x\\\\=-3*(x^{2} +2*3*x+3^{2} )-3+3x\\\\=-3x^{2} -3*6x-3*9-3+3x\\\\=-3x^{2} -18x-27-3+3x\\\\=-3x^{2} -15x-30\\\\=-3(x^{2} +5x+10)

This is the standard form of the given expression.

Learn more about Simplifying expression here brainly.com/question/723406

#SPJ4

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cluponka [151]

Answer:

Nadal won but it is the only major he hasn't won at least twice with 13 at Roland Harris four at the U.S

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