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Anna [14]
2 years ago
8

The data show the traveler spending in billions of dollars for a recent year for a sample of the states. Round your answers to t

wo decimal places. 20.933.1 21.8 58.5 23.5 110.9 30.4 24.9 74.1 60.3 40.445.4 Download data Part 1 out of 3 Find the range. The range is CHECK NEXT Submi
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
7 0

Answer:

The range of given data set is 90.

Step-by-step explanation:

We are given the following data:

20.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.4

When this data is arranged in ascending order, we get:

20.9 , 21.8 , 23.5 , 24.9 , 30.4 , 33.1 , 40.4 , 45.4 , 58.5 , 60.3 , 74.1 , 110.9

Range is a measure of dispersion and can be easily calculated.

Formula:

Range = \text{Maximum values - minimum value}

Range = 110.9 - 20.9 = 90

Thus, the range of given data set is 90.

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The solution to the system -2x+5y=-15 and 5x+2y=-6 is what
cupoosta [38]

Step-by-step explanation:

−2x+5y=−15 and 5x+2y=−6

Rewrite equations:

−2x+5y=−15;5x+2y=−6

Step: Solve−2x+5y=−15for x:

−2x+5y=−15

−2x+5y+−5y=−15+−5y(Add -5y to both sides)

−2x=−5y−15

−2x−2=−5y−15−2(Divide both sides by -2)

x=52y+152

Step: Substitute52y+152forxin5x+2y=−6:

5x+2y=−6

5(52y+152)+2y=−6

292y+752=−6(Simplify both sides of the equation)

292y+752+−752=−6+−752(Add (-75)/2 to both sides)

292y=−872

292y292=−872292(Divide both sides by 29/2)

y=−3

Step: Substitute−3foryinx=52y+152:

x=52y+152

x=52(−3)+152

x=0(Simplify both sides of the equation)

Answer:

x=0 and y=−3

8 0
2 years ago
Please help |x+10| , if x=−12
Pani-rosa [81]

Answer:

2

Step-by-step explanation:

All you do is substitute x.

Add.

|-12 + 10|

Find the absolute value of |-2|.

|-2|

2

4 0
3 years ago
After stepping into your room with unusual lighting Michaels pupil has a diameter of 6 millimeters.What is the pupils radius
Leokris [45]
To find radius just divide diameter by 2
So the answer will be
6 divide 2 = 3mm
8 0
3 years ago
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

  • <u>AB = RS</u>
  • <u>∠ABC ~ ∠RST</u>
  • <u>ΔABC = ΔRST</u>
  • <u>m∠BAC = m∠SRT</u>

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
  • <u>ΔABC = ΔRST</u>; By definition of congruency
  • <u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

7 0
3 years ago
Can anyone help me figure out the answer to this
Alex17521 [72]
3x-11=17-4x  add 4x to both sides

7x-11=17  add 11 to both sides

7x=28  divide both sides by 7

x=4


4 0
3 years ago
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