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1 year ago

How fast does a driven gear turn if it has 25 teeth (t) and is driven by a10-tooth driver gear (T) at 250 RPM?

Mathematics

1 answer:

vazorg [7]1 year ago

3 0

Given:

The number of teeth = t = 25

The gear is driven by a 10-tooth driver gear (T) at 250 RPM

Let the speed = s

So, using the ratio and proportion

$\frac{25}{s}=\frac{10}{250}$

Solve for s:

$\begin{gathered} 10s=25\cdot250 \\ \\ s=\frac{25\cdot250}{10}=25\cdot25=625 \end{gathered}$

So, the fear will be driven by 625 RP

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The time between calls made to Amazon's customer service is exponentially distributed with a mean of 10 minutes (taken between e

daser333 [38]

Answer:

The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.

Step-by-step explanation:

Let X = time between calls made to Amazon's customer service.

The average time between calls is, β = 10 minutes.

The random variable X follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{10}=0.10$

The probability distribution function of X is:

$f_{X}(x)=\left \{ {{\lambda e^{-\lambda x};\ x>0}} \atop {0;\ otherwise}} \right.$

Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:

$P(3$

Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.

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3 years ago

Read 2 more answers

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pychu [463]

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3 years ago

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Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa

choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

$y=x^{2}-2x-3$

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

$(x - h)^{2}=4p(y - k)$

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

$y=x^{2}-2x-3$

$y+3=x^{2}-2x$

$y+3+1=x^{2}-2x+1$

$y+4=x^{2}-2x+1$

$y+4=(x-1)^{2}$

$(x-1)^{2}=(y+4)$ ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

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3 years ago

What is the y-intercept of the line represented by the equation y = 2x - 3?

cestrela7 [59]

Y =Mx + C
where M = gradient / slope
C = y intercept

comparing with y = 2x - 3
M = 2
C = -3

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2 years ago

Jake draws a drinking glass with a scale of 2 units on his graph paper represents 2.5 cm. The glass is 8 units tall in the drawi

alexandr1967 [171]

Answer:

Ratio 2= 2.5

8= 10

10cm

Step-by-step explanation:

Ratios and multiply each side by 4 to get the ratio 2:2.5 to 8:10

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3 years ago