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Natasha2012 [34]
3 years ago
11

Your cell phone plan is by the minute. each minute of use cost $0.10. create a relation that represents the amount spent, A, per

minute, m, of call time. Then, use the relation to find the amount spent if you talk 65 minutes.
​
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
3 0

Answer:

Talking 65 minutes, $ 6.50 must be paid.

Step-by-step explanation:

Since your cell phone plan is by the minute, and each minute of use cost $ 0.10, to create a relation that represents the amount spent, A, per minute, m, of call time, and then use the relation to find the amount spent if you talk 65 minutes, the following calculations must be performed:

0.10 x M = A

0.10 x 65 = A

6.50 = A

Thus, talking 65 minutes, $ 6.50 must be paid.

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Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was
Marizza181 [45]

Answer:

The raw score for his exam grade is 99.69.

Step-by-step explanation:

Given : The professor announced that the mean for the class final exam was 88 with a standard deviation of 7. Given Daniel's z score of 1.67.

To find : What is the raw score for his exam grade?

Solution :

The formula use to find the z-score is

z=\dfrac{x-\mu}{\sigma}

Where, z=1.67 is the z-score

\mu=88  is the means

\sigma=7 is the standard deviation

x  is the raw score for his exam grade

Substitute the values,

1.67=\dfrac{x-88}{7}

1.67\times 7=x-88

11.69=x-88

x=88+11.69

x=99.69

Therefore, the raw score for his exam grade is 99.69.

7 0
3 years ago
ASAP WILL MARK BRAINLIEST!!!!
Savatey [412]
I’m going to guess D....
6 0
3 years ago
Read 2 more answers
Using the Taylor rule, if inflation is 1 percent, desired inflation is 2 percent, and output is 2 percentage points below potent
antoniya [11.8K]

Answer:

1.5%

Step-by-step explanation:

According to the Taylor rule, the federal funds rate targeted by the Fed is:

FFR = 2+AI+0.5*(AI-DI)+0.5PD

Where AI is the actual inflation (1%), DI is the desired inflation (2%) and PD is the deviation from potential (2%):

FFR = 2+1+0.5*(1-2)+0.5*(-2)\\FFR=1.5\%

The Fed should target a federal funds rate of 1.5%.

6 0
3 years ago
A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Kryger [21]

Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}

f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



8 0
4 years ago
A stick is broken into two pieces, at a uniformly random break point. Find the CDF and average of the length of the longer piece
Oksanka [162]

Answer:

P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1

Step-by-step explanation:

let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that

U≤ l and 1-U ≤l

P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1

this means 1-l≤U≤l

so we have

if we have L  [1/2,1]

then apply the formula we have E(L)=3/4

5 0
3 years ago
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