Mathematics, 25.06.2019 21:50 abbypoletick

Part a theresa and her brother, ruben, are getting phones that each have 32 gigabytes of storage. how many bits of storage come with each phone? type your answer in both scientific and standard notation. part b theresa’s parents, cal and julia, are getting phones that each have 64 gigabytes of storage. how many bits of storage come with each phone? type your answer in both scientific and standard notation. part c because they are getting four new phones, the family also gets two free tablets. each tablet has 16 gigabytes of storage. how many bits of storage come with each tablet? part d theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation. part e with their plan, the family also gets access to storage on the cloud. they can store a total of 40 gigabytes on the cloud. how many bits of storage do they get on the cloud? type your answer in both scientific and standard notation.

Answers: 1

Show answers

Answers

Answer from: azduce

Part A)

scientific notation ------> $2.56*10^{11}\ bits$

standard notation -----> $256,000,000,000\ bits$

Part B)

scientific notation ------> $5.12*10^{11}\ bits$

standard notation -----> $512,000,000,000\ bits$

Part C)

scientific notation ------> $1.28*10^{11}\ bits$

standard notation -----> $128,000,000,000\ bits$

Part D)

scientific notation ------> $6.4*10^{10}\ bits$

standard notation -----> $64,000,000,000\ bits$

Part E)

scientific notation ------> $3.2*10^{11}\ bits$

standard notation -----> $320,000,000,000\ bits$

Step-by-step explanation:

we know that

$1\ Gigabyte=1*10^{9}\ bytes\\ 1\ byte=8\ bits$

therefore

$1\ Gigabyte=8*10^{9}\ bits$

Part A

Theresa and her brother, Ruben, are getting phones that each have 32 gigabytes of storage. How many bits of storage come with each phone? Type your answer in both scientific and standard notation

we know that

Each phone have 32 gigabytes of storage

using proportion

$\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{32}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=32*8*10^{9}\\ \\x=256*10^{9}\ bits\\ \\x=2.56*10^{11}\ bits$

scientific notation ------> $2.56*10^{11}\ bits$

standard notation -----> $256,000,000,000\ bits$

Part B

Theresa’s parents, Cal and Julia, are getting phones that each have 64 gigabytes of storage. How many bits of storage come with each phone? Type your answer in both scientific and standard notation.

we know that

Each phone have 64 gigabytes of storage

using proportion

$\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{64}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=64*8*10^{9}\\ \\x=512*10^{9}\ bits\\ \\x=5.12*10^{11}\ bits$

scientific notation ------> $5.12*10^{11}\ bits$

standard notation -----> $512,000,000,000\ bits$

Part C

Because they are getting four new phones, the family also gets two free tablets. Each tablet has 16 gigabytes of storage. How many bits of storage come with each tablet?

we know that

Each tablet have 16 gigabytes of storage

using proportion

$\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{16}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=16*8*10^{9}\\ \\x=128*10^{9}\ bits\\ \\x=1.28*10^{11}\ bits$

scientific notation ------> $1.28*10^{11}\ bits$

standard notation -----> $128,000,000,000\ bits$

Part D

Theresa talked her parents into getting SD cards for her phone and her brother’s phone. Inserting an SD card into a phone gives it more storage. They both get 8-gigabyte SD cards. How many bits of storage come with each SD card? Type your answer in both scientific and standard notation

we know that

Each SD card have 8 gigabytes of storage

using proportion

$\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{8}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=8*8*10^{9}\\ \\x=64*10^{9}\ bits\\ \\x=6.4*10^{10}\ bits$

scientific notation ------> $6.4*10^{10}\ bits$

standard notation -----> $64,000,000,000\ bits$

Part E

With their plan, the family also gets access to storage on the cloud. They can store a total of 40 gigabytes on the cloud. How many bits of storage do they get on the cloud? Type your answer in both scientific and standard notation

we know that

The cloud have 40 gigabytes of storage

using proportion

$\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{40}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=40*8*10^{9}\\ \\x=320*10^{9}\ bits\\ \\x=3.2*10^{11}\ bits$

scientific notation ------> $3.2*10^{11}\ bits$

standard notation -----> $320,000,000,000\ bits$

Answer from: Quest

a. -0.3 > -0.33

Answer from: Quest

Definitely

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 17:30, ninaaforever

The sum of two numbers is 12 and their difference is 18 what are the two numbers

Answers: 1

continue

Mathematics, 21.06.2019 18:00, rick4763

When lulu enlarged her drawing of a rabbit, the enlarged picture appeared to be distorted. which statement about the transformation applied to her drawing is true?

Answers: 2

continue

Mathematics, 21.06.2019 20:20, bbyjoker

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?

Answers: 1

continue

Mathematics, 21.06.2019 20:30, alexialiles19

Max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Answers: 2

continue

You know the right answer?

Part a theresa and her brother, ruben, are getting phones that each have 32 gigabytes of storage. ho...