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Alisiya [41]
3 years ago
15

Need help solving for X

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0
X = 2 \sqrt{13}
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Sam kept track of the number of problems he was assigned for his math homework on the box plot.
yulyashka [42]

Answer:

Statement A is correct about Sam's box and whisker plot.

Step-by-step explanation:

We have been given a box plot and we are asked to find out true statement according to the box plot.

Since we know data represented by box plot is divided in four equal parts.

Upon looking at our box plot we can see that our data is symmetric. It's median is 15, which means half the math assignments have less than 15 problems and half of the math assignments have more than 15 problems.

Interquartile range represents 50% values of data and it is the difference between upper quartile and lower quartile. IQR is not affected by outliers.

IQR=Q_3-Q_1

Upon substituting given values from box plot we get,

IQR=19-11=8

From IQR we can conclude that half of the assignments contained 15 problems or fewer.Therefore, option A is the correct choice.


4 0
3 years ago
Read 2 more answers
Write in decimal form:4 x 100 +2 x 10+4 X 1 +7 (1/10) +7 x (1/100) +0 x (1/1000)
Helga [31]

This number is written in extended form. Each multiplication determines the place the digit is in the number you have to determine.

4*100 → This indicates that the first digit of the number is in the place of the "hundreds", if you solve the multiplication the result is 400

2*10 → This multiplication indicates that the second digit of the number is in the place of the "tens", the result of the multiplication is 20

4*1 → This multiplication indicartes that the third digit of the number represents the "units", te result of the multiplication is 4

After the units you have to put the decimal point and all digits below it will be decimal values.

7*(1/10) → The first digit after the decimal point is in the "tenths" place, you can write it as 0.7

7*(1/100) → This indicates that this digit is in the second place after the decimal dot, in the "hundredths" place, you can write it as 0.07

0*(1/1000)→ The multiplication indicates that the digit is in the third place after the decimal dot, in the "thousands" place, you can write it as 0.000

To write the number in decimal form you have to put each digit in their given order, or add the result of each multiplicatin toghether:

400+20+4+0.7+0.07+0.000

424.770

7 0
1 year ago
On a coordinate plane, triangle L M N has points (1, negative 1), (3, 2), and (1, 3). An altitude is drawn from point M to point
PIT_PIT [208]
The answer is 4 units.
7 0
3 years ago
Read 2 more answers
1. If the length of a rectangle is 6 more than its width, and its perimeter is 48
Salsk061 [2.6K]

For this case we have that by definition, the perimeter of the rectangle is given by:

P = 2w + 2L

Where:

W: Is the width of the rectangle

L: is the length of the rectangle

According to the data we have:

L = 6 + w\\P = 48

Substituting:

48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9

So, the width of the rectangle is 9 inches

L = 6 + 9 = 15

So, the length of the rectangle is 15 inches

Answer:

the width of the rectangle is 9 inches

the length of the rectangle is 15 inches

5 0
3 years ago
The surface area of a pyramid is 327 square meters. what is the surface area of a similar pyramid that is smaller by a scale fac
N76 [4]

Answer:

\boxed{\text{144.33 m}^{2}}

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two pyramids.  

The ratio of the areas is the square of the scale factor.

\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}

4 0
3 years ago
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