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the most effective way to stop the spread of conspiracy theories is to

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30. Ace! Professional tennis player Novak Diokovic hits the ball extremely hard. His first-serve speeds follow an approximately Normal distribution with mean 115 miles per hour ( mph ) and standard deviation 6 mph . Choose one of Diokovic's first serves at random. Let \( Y= \) its speed, measured in miles per hour. (a) Write the event "speed is between 100 and 120 miles per hour" in terms of \( Y \). Then find its probability. (b) Find the 15 th percentile of the distribution.

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For each ordered pair, determine whether it is a solution to the system of equations. \[ \left\{\begin{array}{l} y=-2 x-6 \\ 5 x-3 y=7 \end{array}\right. \] \begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{\( (x, y) \)} & \multicolumn{2}{|c|}{ Is it a solution? } \\ \cline { 2 - 3 } & Yes & No \\ \hline\( (-8,10) \) & \( \bigcirc \) & 0 \\ \hline\( (2,1) \) & \( \bigcirc \) & \( \bigcirc \) \\ \hline\( (9,0) \) & \( \bigcirc \) & \( \bigcirc \) \\ \hline\( (-1,-4) \) & \( \bigcirc \) & \( \bigcirc \) \\ \hline \end{tabular}

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Find the derivative of the function at $P_0$ in the direction of $A$. $f(x, y, z) = xy + yz + zx$, $(1, -1, -3)$, $A = 6i + 2j - 3k$

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2 P + 3 Cl$_2$ ? 2 PCl$_3$ + 576 kJ If 135.9 grams of PCl$_3$ are produced, how many kJ of heat will be absorbed or released?

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Let's walk through the process of performing a hypothesis test to determine whether the sample data provide sufficient evidence to contradict the claim that the population standard deviation 𝜎 \sigma is at most 𝑞 = 92 q=92 using a significance level 𝛼 = 0.01 \alpha =0.01. Step 1: State the null and alternate hypotheses Null Hypothesis 𝐻 0 H 0 : The population standard deviation is less than or equal to 92 92. 𝐻 0 : 𝜎 <= 92 H 0 :\sigma <=92 Alternate Hypothesis 𝐻 1 H 1 : The population standard deviation is greater than 92 92. 𝐻 1 : 𝜎 > 92 H 1 :\sigma >92 This is a right-tailed test because the alternate hypothesis is checking if the population standard deviation is greater than a specific value.

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Question 3 The diagram below, not drawn to scale, shows a circle centre O. RQ is a diameter and PM and PN are tangents to the circle. Angle MPN = 54° and angle RQM = 20°. R P 54° N M 20° O Q Calculate, giving reasons for your answer, the measure of (i) \angle MRQ (ii) \angle PMR marks) (iii) \angle PMN (2 marks) (2 (3 marks)

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In (Figure 1), take $b = 5.5 \text{ in.}$ and $h = 13 \text{ in.}$\newline\newlinePart A\newlineLocate the centroid $\bar{x}$ of the area.\newlineExpress your answer to three significant figures and include the\nappropriate units.

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2. Use the matrices below to compute the matrix combination of EDC. Be sure to show your work for each operation -6 E = 5 12 15 6 7 10 D 3 9 8 -1 C 10 5 429 120 296 3970 1351 3080 3706 1297 2909 -406 143 340 3988 1390 3123 [3693 1332 2862] 414 123 320 3978 1371 3100 3696 1317 2886 -406 -103 301 3975 1395 3080 3706 1294 2871 This operation cannot be performed with these matrices. U Font Family VAA P

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Which equation represents a parabola with a vertex at (3,9) and passes through the point (0,0) ?

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