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o-na [289]
3 years ago
10

Write a function rule for "The output is 12 more than four times the input." Use x for the independent variable and y for the de

pendent variable. y=
Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

f(y) = 12 + 4x

Step-by-step explanation:

Output is 12 more than 4 timea the input

The dependent variable = y

The dependent variable = x

The input is the independent variable, x

Output is the dependent variable, y

Output = 12 + (4 * input)

Hence, the function rule can be written has :

f(y) = 12 + 4x

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Using traditional methods, it takes 10.8 hours to receive a basic flying license. A new license training method using Computer A
sesenic [268]

Answer:

Hence the value of the test statistic is 0.780.

Step-by-step explanation:

Given:

Test Statistic:-

t=\frac{\bar{X}-\mu }{\frac{S}{\sqrt{n}}}

t=\frac{11.2-10.8 }{\frac{1.7}{\sqrt{11}}}

t=\frac{0.4}{0.5126}\\t=0.780

4 0
3 years ago
Fill in the blanks to explain how Harry can check whether his solution is correct
Tresset [83]

<u><em>Answer is in bold</em></u>

Harry can first substitute 30 for t. He can then multiply \frac{1}{3} by 30 to get a product of 10. Since 15 is equal to 30 × 1/2, Harry's solution is not correct.

Hope this helps :)

Have a great day!

5 0
2 years ago
Otra forma de representar 42/9​
Oksi-84 [34.3K]

Answer:

(84/18, 14/3). These are the same as 42/9

3 0
3 years ago
let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t
AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

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}

Mean of 4 minutes

This means that m = 4, \mu = \frac{1}{4} = 0.25

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)

In which

P(X \leq 132) = 1 - e^{-0.25*132} = 1

P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469

P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

4 0
3 years ago
9. The scatter plot below shows the average yearly consumption of
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