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Ilia_Sergeevich [38]
3 years ago
8

Is 3/7 greater than 2/5?

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0

Answer:

Yes, 3/7 is bigger than 2/5

Step-by-step explanation:

First, put the fraction side by side

\frac{3}{7}  \frac{2}{5}

Multiply diagonally. So multiply 3 × 5 and 2 × 7

3 × 5 = 15

2 × 7 = 14

15 >14

\frac{3}{7}  > \frac{2}{5}

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The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of
nalin [4]

Given:

The  function that represents how the amount of fuel changes as a function of distance flown is

f(x)=-0.9x+665

where x represents miles flown, and f(x) represents the amount of fuel remaining.

To find:

The rate of change for this scenario.

Solution:

The slope intercept form of a linear function is

y=mx+b        ...(i)

Where, m is the slope or rate of change and b is the y-intercept.

We have,

f(x)=-0.9x+665        ...(ii)

On comparing (i) and (ii), we get

m=-0.9

Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.

8 0
3 years ago
Answer right and I will mark brainiest and give 50 points...
Korolek [52]

Answer:

1.08T/ (1+8/100)T

Step-by-step explanation:

There is an easier way instead of doing 0.08 of t and then adding. You can do 108% of t which immediately gives the answer.

Hope this helps:)

3 0
3 years ago
Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below
mafiozo [28]

Answer:

a) \bar X = 369.62

b) Median=175

c) Mode =450

With a frequency of 4

d) MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5

<u>e)</u>s = 621.76

And we can find the limits without any outliers using two deviations from the mean and we got:

\bar X+2\sigma = 369.62 +2*621.76 = 1361

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

Step-by-step explanation:

We have the following data set given:

49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000

Part a

The mean can be calculated with this formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

Replacing we got:

\bar X = 369.62

Part b

Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

Median=175

Part c

The mode is the most repeated value in the sample and for this case is:

Mode =450

With a frequency of 4

Part d

The midrange for this case is defined as:

MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5

Part e

For this case we can calculate the deviation given by:

s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s = 621.76

And we can find the limits without any outliers using two deviations from the mean and we got:

\bar X+2\sigma = 369.62 +2*621.76 = 1361

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

5 0
3 years ago
Betty is making 6 skirts. Each skirt uses 2/3 of a yard. How many yards does she need?
AysviL [449]

Answer:

She needs 4 yards.

Step-by-step explanation:

To multiply fractions, you just multiply the whole number by the numerator of the fraction.

<em>The numerator is the top number of a fraction.</em>

<em>The denominator is the bottom number of a fraction.</em>

You can think of the whole number 6 as the fraction 6/1.

<h3>Step 1</h3>

Multiply 6/1 by 2/3

6x2=12

1x3=3

So, 6/1x2/3=<u>12/3</u>

<u></u>

<h3>Step 2</h3>

Now you need to simplify the fraction

Because the numerator is a muliple (number that can be devided by) of 3, devide the numerator by the denominator.

12÷3=4

<h2>So betty needs 4 yards of fabric to make 6 skirts.</h2>

8 0
3 years ago
Write the number in standard form.
WINSTONCH [101]

Answer:

The number in standard form is 233.64

8 0
3 years ago
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