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torisob [31]
3 years ago
7

If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new s

quare?
Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

\frac{1}{4}

Step-by-step explanation:

Let 's' be the side of the original square

the length of the side of a square is doubled, so the length of the new square is 2s

Area of the original square with side length 's' is s^2

Area of the new square with side length '2s' is (2s)^2=4s^2

Area of the new square is 4  times the area of the original square

ratio of the areas of the original square to the area of the new square

\frac{s^2}{4s^2} =\frac{1}{4}

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Find the slope of 10y = 7x + 5.<br> Round to the third.
hram777 [196]

Answer:

0.7

Step-by-step explanation:

10y = 7x + 5

Divide both sides by 10.

y = 7x/10 + 5/10

y = 0.7x + 0.5

On a straight line of the form y = kx + m, k is the slope of the line.

In our line, y = 0.7x + 0.5, k is 0.7. Thus, the slope of our function is 0.7

Answer: 0.7

8 0
3 years ago
The goal of a nutritional study was to compare the caloric intake of adolescents living in rural areas of the US with the calori
stiks02 [169]

Answer:

To give more clarity to the question, lets examine the attached back-to-back stem plot.

A)

Having examined the stem plot, we can using quick calculations, summarize that:

The mean (40.45 cal/kg) and median (41 cal/kg) daily caloric intake of ninth-grade students in the rural school is higher than the corresponding measures of center, mean (32.6 cal/kg) and median (32 cal/kg), for ninth-graders in the urban school.

The median and the mean for the students in the 9th grade in the urban school is lower than that of those of their contemporaries in the rural school. The respective medians and means are stated below:

Urban 9th Grade Students

Median = 32 cal/kg

Mean = 36 cal/kg

Rural 9th Grade Students

Median = 41 cal/kg

Mean = 41 cal/kg

Please note that all figures above have been approximated to the nearest whole number.

B)

It is unreasonable to generalize the findings of this study to all rural and urban 9th-grade students in the United States because the sample is too small compared to the target population size.

To allow for generalization, they would have to collect and analyze more samples say from every state within America.

Cheers!

5 0
3 years ago
Below we give the overall dining experience ratings (Outstanding, Very Good, Good, Average, or Poor) of 30 randomly selected pat
Rina8888 [55]

Answer:

Kindly check explanation

Step-by-step explanation:

Relative frequency = frequency / total frequency

Total frequency = 30

Outstanding = 14 / 30 = 0. 467 = 46.7%

Very good = 10/30 = 0.333 = 33.3%

Good = 5 / 30 = 0.167 = 16.7%

Average = 1 / 30 = 0.0333 = 3.3%

Poor = 0

_______Rating : frequency : R/ frequency

Outstanding _____ 14 _______0.467

Very good _______10 _______0.333

Good ___________ 5 _______ 0.167

Average _________ 1 _______ 0.033

Poor ____________ 0 _______ 0

8 0
2 years ago
The angle measurements in the diagram are represented by the following expressions.
maw [93]

point A (-1-1) point B(-2-1)

4 0
2 years ago
Are all vertical lines parallel?
BartSMP [9]

Answer: Yes

Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.

4 0
3 years ago
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