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4 years ago

Which domain window settings would be appropriate if you wanted to graph the function below in degrees for exactly

Mathematics

2 answers:

kondor19780726 [428]4 years ago

7 0

Answer:

the answer is A. Xmin = –90 Xmax = 270

Step-by-step explanation:

liq [111]4 years ago

3 0

Answer:

The domain window setting that would be appropriate to graph the function is;

$x_{min}$ = -90°, $x_{max}$ = 270°

Step-by-step explanation:

The given equation is y = 4·sin(3·x)

We note that one period of the sine function = 2·π = 360°

Therefore, if we wanted to graph the above function for exactly three periods, then we should have;

The domain of the function will be from 0 to 3 × 360

Minimum value of 3·x = 0,

Maximum value of 3·x= 3 × 360°

Therefore;

Minimum value of x = 0°/3 = 0° and maximum value of x = 3 × 360°/3 = 360°

Which gives the extent of the domain as 360°

The appropriate domain window setting to graph the function therefore, $x_{min}$ = -90°, $x_{max}$ = 270° as the extent is 270 - (-90) = 360°

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Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25

aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0

3 years ago

85) A6-foot man casts an 8-foot shadow. How tall is a tree that casts a<br> 20-foot shadow?

vichka [17]

Answer:

15 foot

Step-by-step explanation:

6 foot = 8 foot shadow

3 foot= 4 foot shadow

15 foot=20 foot shadow

please give me brainliest!!!

5 0

3 years ago

Mary is making pillows for her Life Skill class. She bought 2 ½ yards of fabric. Her total cost was $15. What was the cost per y

BigorU [14]

Answer:

15 divided by 2 1/2

Step-by-step explanation:

$6 per yard.

4 0

3 years ago

Write a linear function ff with f(4)=−3f(4)=−3 and f(0)=−2f(0)=−2

Nonamiya [84]

<span>The line goes through the points (4,-3) and (0,-2), so its gradient is (-2-(-3))/(0-4) = -1/4. The y-intercept is -2 because f(0)=-2. So the equation of the line is y = -1/4 x - 2.This can be represented by the linear function f(x) = (-1/4)x - 2. The composite function ff is given by ff(x) = f(-1/4 x - 2) = (-1/4)((-1/4)x - 2) - 2 = x/16 - 3/2.</span>

7 0

3 years ago

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have t

zhannawk [14.2K]

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items. Use the drop-down menus to complete the statements below about the number of bags Cesar can make.

What is the greatest number of bags Cesar can make and Each bag would have _____ pasta and _____ jars of sauce

Answer:

The greatest number of bags Cesar can make is 16 bags.

Each bag would have 2 pasta and 3 of jars of sauce

Step-by-step explanation:

We solve the above question using Greatest Common Factor method

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Then the greatest common factor is 16.

Hence, the greatest number of bags Cesar can make is 16 bags.

For Pasta, We have 32 pasta

Each bag would have: 32/16

= 2 pasta

For Jars of sauce, we have 48 jars of sauce.= 48/16

= 3 jars of sauce

4 0

3 years ago