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3 months ago

8

I have a total of 10 gigabytes of data on my computer, x gigabytes are movies, pictures take up half the amount of space that mo

vies do and the rest is music. How many gigabytes of music is stored on my computer?

1 answer:

Zina [12.3K]3 months ago

5 0

Response:

Films: x gig

Images: x/2 gig

Audio: 10 - x - x/2 = 10 - (3/2)x

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Megan's room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. part a)

Zina [12379]

Response: a) $\frac{175}{100}xy\\\\=1.75xy\\\\$

b) The area has grown by 0.75 square meters.

Detailed breakdown:

Let the room's length be l

Let the room's breadth be 'b'

The area of a rectangle is calculated using the formula:

$Area=Length\times breadth\\\\Area=l\times b$

Per the problem, the room's new area equals 175% of its old area.

Thus, a) The new area of the room is determined as

$\frac{175}{100}xy\\\\=1.75xy\\\\$

This indicates a 175% increase in the room's length, resulting in a 175% increase in area.

b) The increase in square meters for Megan's room area is

$1.75xy-1xy=0.75\\\\\text{So, by 0.75 square meters the new area is increased.}$

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1 month ago

A special shape is 2.02 m long and 1.22 m wide. A double row of tiles makes a border . Each tile is 2cm by 2cm. How many tiles a

Svet_ta [12734]

Response:

6.48

Detailed explanation:

The calculation required to determine the number of tiles for the border is presented below:-

$= 2 \times (length + breadth)$

Here,

The length measures 2.02 m

And the width is 1.22

Substituting these dimensions into the formula provided above

Consequently, the total number of tiles necessary to create the border is

$= 2 \times (2.02 + 1.22)$

$= 2 \times 3.24$

= 6.48

Hence, to find the tiles required for the border, we utilized the aforementioned formula.

3 0

2 months ago

In a sample of 88 adults selected randomly from one town, it is found that 6 of them have been exposed to a particular strain of

tester [12383]

Response with clarification:

Let p denote the proportion of adults in the town who have encountered this flu strain.

According to the provided information

$H_0:p=0.08\\\\ H_a: p\neq0.08$

∵ $H_a$ this is a two-tailed test.

Test statistic:

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where p= denotes the population proportion

${\hat{p}$ = signifies the sample proportion

n= represents the sample size

Setting n= 6 and ${\hat{p}=\dfrac{6}{88}\approx0.068$ and p=0.08

$z=\dfrac{0.068-0.08}{\sqrt{\dfrac{0.08(1-0.08)}{88}}}$

$z=\dfrac{-0.012}{0.0289199522192}\approx-0.415$

P-value for the two-tailed test:[2P(Z>|z|)

=2P(Z>|-0.415|)

=2P(Z>0.415) = 2[1-P(Z≤0.415)] [∵ P(Z>z)=1-P(Z≤z)]

=2(1-0.6609) [from the z-table]

=0.6782

Decision: Because the p-value(0.6782) exceeds the significance level of 0.01, we do not reject the null hypothesis.

This leads us to conclude that there is insufficient evidence to back the assertion that the percentage of all adults in this town exposed to this flu strain deviates from the national average of 8%.

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1 month ago

Find the value of x in the isosceles triangle shown below.

Leona [12618]

Solution:

x=8

Detailed explanation:

This isosceles triangle consists of two right triangles with sides equal to 8, $\sqrt{80}$ , and y

Considering we possess two sides of a right triangle, determining the third side can be achieved using the Pythagorean Theorem

$(\sqrt{80} )^2=8^2+y^2\\\\80=64+y^2\\\\y^2=16\\\\y=4$

Because it is an isosceles triangle, these two right triangles are the same, thus x=2y

Hence, x=2(4)=8

8 0

2 months ago

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