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Musya8 [376]
2 years ago
12

A group of dental researchers are testing the effects of acidic drinks on dental crowns. They have five containers of crowns lab

eled V, W, X, Y, and Z. They will randomly select one of the containers to be the control for the experiment by drawing one of five well-mixed slips of paper with the same labels from a hat. Which of the following is the probability model for the control container?
Mathematics
1 answer:
mestny [16]2 years ago
5 0

Answer:

\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}

Step-by-step explanation:

Given

S = \{V,W,X,Y,Z\}

n(S) = 5

Required

The probability model

To do this, we simply calculate the probability of each container.

So, we have:

P(V) = \frac{n(V)}{n(S)} = \frac{1}{5} = 0.20

P(W) = \frac{n(W)}{n(S)} = \frac{1}{5} = 0.20

P(X) = \frac{n(X)}{n(S)} = \frac{1}{5} = 0.20

P(Y) = \frac{n(Y)}{n(S)} = \frac{1}{5} = 0.20

P(Z) = \frac{n(Z)}{n(S)} = \frac{1}{5} = 0.20

So, the probability model is:

\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}

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nadezda [96]

Answer:

m∠A = 30°

m∠B = 80°

m∠C = 70°

Step-by-step explanation:

By applying cosine rule in the given triangle,

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From the given triangle,

a = 14 m

b = 28 m

c = 24 m

(28)² = (14)² + (24)² - 2(14)(24)cos(B)

784 = 196 + 576 - 672cos(∠B)

cos(∠B) = 0.1786

∠B = \text{cos}^{-1}(0.1786)

∠B = 79.71°

∠B = 80°

By applying sine rule in the given triangle,

\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}

\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}

\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}

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sinA = 0.491958

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By applying triangle sum theorem,

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Definition: A histogram visualises the distribution of data over a continuous interval or certain time period. Each bar in a histogram represents the tabulated frequency at each interval.

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This shows that the data is symmetrical and the majority of the attendees were between the ages of 21 and 60 (40 times).

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