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Sergio039 [100]
3 years ago
14

Nancy has a phone plan that she pays $60 a month for. She gets 30 GB of data included, but if she goes over, she gets charged an

additional $3.95 per GB. If her bill comes out to $87.65, how much data did she use in all?
(Just write the number in the answer box)
Mathematics
2 answers:
tigry1 [53]3 years ago
8 0

Answer:

37 GB

Step-by-step explanation:

neonofarm [45]3 years ago
6 0
87.65-60=27.65
27.65/3.95=7
Answer=7
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What is the first step in solving 3=r/10
True [87]

Answer:

multiply both sides by ten

Step-by-step explanation:

eliminate the ten by doing the opposite (x10 is the opposite of /10). and then you get the answer 30=r

7 0
3 years ago
3.14 The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable with cumula
vovangra [49]

Answer:

(a) The probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.

(b) The probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.

Step-by-step explanation:

The  cumulative distribution function of the random variable <em>X, </em>the waiting time, in hours, between successive speeders spotted by a radar unit is:

F(x)=\left \{ {{0;\ x

(a)

Compute the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function as follows:

12\ \text{minutes}=\frac{12}{60}=0.20\ \text{hours}

The probability is:

P(X

                  =(1-e^{-8x})|_{x=0.20}\\\\=1-e^{-8\times 0.20}\\\\=0.7981

Thus, the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.

(b)

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{d F (x)}{dx}=\left \{ {{0;\ x

Compute the probability of waiting less than 12 minutes between successive speeders using the probability density function as follows:

P(X

                  =8\times [\frac{-e^{-8x}}{8}]^{0.20}_{0}\\\\=[-e^{-8x}]^{0.20}_{0}\\\\=(-e^{-8\times 0.20})-(-e^{-8\times 0})\\\\=-0.2019+1\\\\=0.7981

Thus, the probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.

3 0
3 years ago
The Washington family had dinner at a restaurant and the bill was $85.00. They gave their server a $13.60 tip. What percent of t
Dmitry_Shevchenko [17]

Answer:

The tip for the server is 16%

Step-by-step explanation:

13.6 is 16% of 85.

8 0
3 years ago
7) What is the slope of a vertical line ?​
nexus9112 [7]

Answer:

UNDEFINED

Step-by-step explanation:

Any <em>vertical</em><em> </em><em>line</em><em> </em>is considered an <em>undefined rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>], in which everything is set to equal <em>x</em>.

I am joyous to assist you anytime.

5 0
3 years ago
Tom, Ulrika and Harriet each have some money.
Afina-wow [57]

Hey there! I'm happy to help!

Let's represent Tom's money as T, Ulrika's as U, and Harriet's as H. Let's put the information we have in a system of equations and solve the problem.

H=3U                       (Harriet has 3x as much as Ulrika)

H=T+304                      (Harriet has 304 more than Tom)

T=U                          (Tom has same amount as Ulrika.)

We see that 3U and T+304 are equal because they both equal H.

3U=T+304

Since T and U are interchangeable because they are equal, we can replace the U with T to solve for T, which is also the answer for U.

3T=T+304

We subtract T from both sides.

2T=304

We divide both sides by 2.

T=152

This also means that U=152.

So, Ulrika has $152.

Have a wonderful day!

8 0
4 years ago
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