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lorasvet [3.4K]
3 years ago
6

What is the lower quartile of the annual wind speeds in Chicago?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

9.1

Step-by-step explanation:

The lower quartile, denoted as Q1, gives the value of the lower quartile, from a box plot, the value of the lower quartile is the value at the starting point of the box. In the box plot given for the windspeed in Chicago, the starting point of the box is the point marked with the reading 9.1. Hence we can conclude that the lower quartile is 9.1

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A circle of red roses is planted in Lowell's central park. The circle has a radius of 1 meter.
Damm [24]

Answer:

The circle's circumference is 6.28 m.

Step-by-step explanation:

We have,

The circle has a radius of 1 meter.

It is required to find the circumference of the circle. The formula of the circumference of circle is given by :

C=2\pi r

r is radius

C=2\times 3.14\times 1\\\\C=6.28\ m

So, the circle's circumference is 6.28 m.

4 0
3 years ago
A circle is shown. Secant X Z and tangent W Z intersect at point Z outside of the circle. Secant X Z goes through the center of
andriy [413]

Answer:

16

Step-by-step explanation:

7 0
3 years ago
Solve for the following equation step by step and justify your steps when using an exponential property.
mel-nik [20]

x = \frac{5}{7}

using the ' laws of exponents '

• a^{m} × a^{n} = a^{( m + n )}

•  a^{m} ÷ a^{n} = a^{(m - n)}

• (a^{m})^n = a^{mn}

7^{2} × 7^{3} = 7^{5} ÷ 7^{3x} = 7^{5 - 3x}

7^{4x} = 7^{5 - 3x}

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x =\frac{5}{7}




4 0
3 years ago
HELP ASAP FOR BRAINLIEST:
goldenfox [79]

Answer: y = -14/9(x + 4)^2 + 7

Step-by-step explanation:

The given roots of the quadratic function is (-1, -7)

The vertex is at (-4, 7)

The formula is

y = a(x - h)^2 + k

The vertex is (h, k)

Comparing with the given vertex, (-4, 7), h = -4 and k = 7

Substituting into the formula

y = a(x - h)^2 + k, it becomes

y = a(x - - 4)^2 + 7

y = a(x + 4)^2 + 7

From the roots given (-1, -7)

x = -1 and y = -7

Substituting x = -1 and y = -7 into the equation,

y = a(x + 4)^2 + 7, it becomes

-7 = a(-1+4)^2 + 7

-7 = a(3^2 ) + 7

- 7 = 9a + 7

-7-7 = 9a

9a = -14

a = -14/9

Substituting a = - 14/9 into the equation, it becomes

y = -14/9(x + 4)^2 + 7

8 0
3 years ago
The length of a rectangle is 3 m less than twice the width if the area of the rectangle is 66 5 m² find the dimensions
goblinko [34]

Let the width be x.

Then,Length = ( 2x - 3 ) m

<u>According to the question, </u>

Area of rectangle = 665 m² [ Given ]

Formula: Area of rectangle = Length × Width

\sf \implies \: length \:  \times breadth = 665 \: m {}^{2}

\sf\implies \: (2x - 3) \times x = 665

\sf \implies \: 2 {x}^{2}  - 3x = 665

\sf \implies \:  {2x}^{2}  - 3x - 665 = 0

<u>By split middle term </u>

\sf \implies \: 2 {x}^{2}  - 38x  + 35x - 665 = 0

\sf\implies \: 2x(x - 19) + 35(x - 19) = 0

\sf \implies \: (2x + 35) = 0 \: or \: (x  - 19) = 0

\sf \implies \: x =  \dfrac{ - 35}{2}  \: or \:  \: x = 19 \:

Note: Ignore negative number.

Now,

Width of a rectangle = 19 m

Length of a rectangle = 2x - 3 = 2 × 19 - 3 = 38 - 3 = 35 m

8 0
3 years ago
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