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Mathematics

1 answer:

Serjik [45]1 year ago

5 0

$h=-16t^2+36t+4\implies \stackrel{h}{0}=4(-4t^2+9t+1)\implies 0=-4t^2+9t+1 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-4}t^2\stackrel{\stackrel{b}{\downarrow }}{+9}t\stackrel{\stackrel{c}{\downarrow }}{+1} \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}$

$t= \cfrac{ - (9) \pm \sqrt { (9)^2 -4(-4)(1)}}{2(-4)} \implies t = \cfrac{ -9 \pm \sqrt { 81 +16}}{ -8 } \\\\\\ t= \cfrac{ -9 \pm \sqrt { 97 }}{ -8 }\implies t=\cfrac{9\mp\sqrt{97}}{8}$

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If a triangle with angle measures 40,30.and 120 centimeters possible?

vagabundo [1.1K]

No, the longest side must be less than the sum of the smaller sides or else they won't connect (try it yourself with straw or something)

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false, therfor they canonot be a triangle

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3 years ago

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d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 46.8, \sigma = 1.75$