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3 years ago

12

The histogram shows the ages of people in a community chorus.

1 answer:

mamaluj [8]3 years ago

3 0

Answer: 13

Step-by-step explanation:

8 + 4 + 1 = 13

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Trisha bought a pair of shoes for $40 and a blouse for $35. Trisha's purchases are subject to a sales tax rate of 8.75%. Includi

Margarita [4]

$40+$35=$75
75/100*8.75=6.5625
6.5625+75=81.5625
approximately equal to $81.56

5 0

3 years ago

The use of mathematical methods to study the spread of contagious diseases goes back at least to some work by Daniel Bernoulli i

harina [27]

Answer:

a

$y(t) = y_o e^{\beta t}$

b

$x(t) = x_o e^{\frac{-\alpha y_o }{\beta }[e^{-\beta t} - 1] }$

c

$\lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }$

Step-by-step explanation:

From the question we are told that

$\frac{dy}{y} = -\beta dt$

Now integrating both sides

$ln y = \beta t + c$

Now taking the exponent of both sides

$y(t) = e^{\beta t + c}$

=> $y(t) = e^{\beta t} e^c$

Let $e^c = C$

So

$y(t) = C e^{\beta t}$

Now from the question we are told that

$y(0) = y_o$

Hence

$y(0) = y_o = Ce^{\beta * 0}$

=> $y_o = C$

So

$y(t) = y_o e^{\beta t}$

From the question we are told that

$\frac{dx}{dt} = -\alpha xy$

substituting for y

$\frac{dx}{dt} = - \alpha x(y_o e^{-\beta t })$

=> $\frac{dx}{x} = -\alpha y_oe^{-\beta t} dt$

Now integrating both sides

$lnx = \alpha \frac{y_o}{\beta } e^{-\beta t} + c$

Now taking the exponent of both sides

$x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} + c}$

=> $x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} } e^c$

Let $e^c = A$

=> $x(t) =K e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }$

Now from the question we are told that

$x(0) = x_o$

So

$x(0)=x_o =K e^{\alpha \frac{y_o}{\beta } e^{-\beta * 0} }$

=> $x_o = K e^{\frac {\alpha y_o }{\beta } }$

divide both side by $(K * x_o)$

=> $K = x_o e^{\frac {\alpha y_o }{\beta } }$

So

$x(t) =x_o e^{\frac {-\alpha y_o }{\beta } } * e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }$

=> $x(t)= x_o e^{\frac{-\alpha * y_o }{\beta} + \frac{\alpha y_o}{\beta } e^{-\beta t} }$

=> $x(t) = x_o e^{\frac{\alpha y_o }{\beta }[e^{-\beta t} - 1] }$

Generally as t tends to infinity , $e^{- \beta t}$ tends to zero

so

$\lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }$

5 0

3 years ago

Based on a poll, 63% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is

VashaNatasha [74]

Answer:

So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.

Step-by-step explanation:

3 0

2 years ago

(x + 5)2 + (y - 7)2 = 36, its radius is

sashaice [31]

6 because the 36 is r² where r is the radius, r² = 36; we have to isolate the r so it's by its self, so square root both sides, r = 6

5 0

3 years ago

A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in

lana [24]

Answer:

a. Probability = 0.15

b. Probability = 0.3

Step-by-step explanation:

Given

$P(Bedroom) = 0.4$

$P(Kitchen) = 0.1$

$P(Bathroom) = 0.2$

$P(Living\ room) = 0.15$

Solving (a): Probability of being somewhere else

This is calculated by subtracting the sum of given probabilities from 1.

$Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)$

$Probability = 1 - 0.85$

$Probability = 0.15$

Solving (b): Probability of being in bedroom or kitchen

This is calculated as:

$Probability = P(Bedroom) + P(Kitchen)$

$Probability = 0.2 + 0.1$

$Probability = 0.3$

6 0

3 years ago