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2 years ago

Find the range of 2,7,3.1,4.2,1.9,2.4,and 2.7

Mathematics

2 answers:

aliina [53]2 years ago

6 0

Answer:2244.23136

Step-by-step explanation:

rjkz [21]2 years ago

5 0

Answer:

5.1

Step-by-step explanation:

Range = largest value in data set - smallest value in data set

largest value = 7 and smallest value = 1.9, hence

range = 7 - 1.9 = 5.1

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Part B

Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is $4.6\ miles$

Part B) The length of a straight line between the school and the hospital is $2.1\ miles$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and C(4.3,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(4.3)^{2}}$

$d=4.6\ miles$

Part B) we have that

The hospital is 3.1 miles west of the fire station

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and D(1.2,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(1.2)^{2}}$

$d=2.1\ miles$

7 0

2 years ago

What is the area of the shaded region?

azamat

Answer:

$(25\pi\ -24)\ cm^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of the two isosceles triangles

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

where r is the radius of the circle

In this problem we have

$r=5\ cm$

substitute

$A=\pi (5)^{2}$

$A1=25\pi\ cm^{2}$

Find the area of the two triangles

The area of the two isosceles triangles is equal to

$A=2[\frac{1}{2}bh]=bh$

we have

$b=6\ cm$

$h=5-1=4\ cm$

substitute

$A2=6*4=24\ cm^{2}$

Find the area of the shaded region

$A1-A2=(25\pi\ -24)\ cm^{2}$

5 0

2 years ago

Read 2 more answers

A circular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b

Artyom0805 [142]

Answer:

D. 108 degrees

Step-by-step explanation:

use the formula (n-2)180/n, n being number of sides.

In this case, the number of sides is 5.

plug it into the formula and solve:

(5-2)180/5

(3)180/5

540/5

108 degrees.

6 0

2 years ago

Read 2 more answers

In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10 adults in the United States wil

V125BC [204]

Answer:

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

Step-by-step explanation:

We are given the following information:

We treat adult adults wear glasses or contact lenses as a success.

P(Adults wear glasses or contact lenses) = 75% = 0.75

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(fewer than 8 of the selected adults wear glasses or contact lenses)

$P(x < 8)\\=1 - P(x = 8) - P(x = 9) - P(x = 10)\\=1 - \binom{10}{8}(0.75)^8(1-0.75)^2 - \binom{10}{9}(0.75)^9(1-0.75)^1- \binom{10}{10}(0.75)^10(1-0.75)^0\\=1 - 0.2815-0.1877-0.0563\\= 0.4745$

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

4 0

2 years ago

Nina has x coins. Clayton has 5 fewer coins than six times the number of coins Nina has. Write an expression for the total numbe

DedPeter [7]

Answer:

7x - 5

Step-by-step explanation:

Let

Nina = x coins

Clayton = 6x - 5 coins

Expression for the total number of coins Nina and Clayton have altogether.

Nina + Clayton

= x + (6x - 5)

= x + 6x - 5

= 7x - 5

The correct answer and expression is 7x - 5

7 0

2 years ago

Read 2 more answers