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2 years ago

FInd the range and IQR of 3, 7, 4, 6, 5

Mathematics

2 answers:

Charra [1.4K]2 years ago

8 0

3<y<7 y is greater than 3 but less than 7

melomori [17]2 years ago

7 0

First the data must be ordered:
3, 4, 5, 6, 7.
The range is 7 - 3 = 4.
The LQ is (3 + 4)/2 = 3.5.
The UQ is (6 + 7)/2 = 6.5.
Therefore the IQR is 6.5 - 3.5 = 3.

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Solve the equation -6(2a + 7) = -22- 8a

Andru [333]

Answer: a = -5

Step-by-step explanation:

First, open up the brackets, and solve it

-12a -42 = -22 -8a. (-6 x 2a, and -6 x 7)

bring the -8a to the left side, so that all the a’s are together

-12a -42 + 8a = -22 (add -42 on both sides like we did with -8a)

-12a + 8a = -22 + 42

solve

-4a = 20

divide -4 on both sides

a = -5

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3 years ago

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What geographical information was used in alloying the first three digits of social security numbers to the state

Gala2k [10]

Since 1973, social security numbers have been issued by our central office. The first three (3) digits of a person's social security number are determined by the ZIP Code of the mailing address shown on the application for a social security number. Prior to 1973, social security numbers were assigned by our field offices. The number merely established that his/her card was issued by one of our offices in that State. See also High Group List<span> of SSN's.</span>

5 0

2 years ago

Solve the quadratic equation<br> give your answer to 2 decimal places<br> : 3x^2+x-5=0

Dima020 [189]

Given:

The quadratic equation is:

$3x^2+x-5=0$

To find:

The solution for the given equation rounded to 2 decimal places.

Solution:

Quadratic formula: If a quadratic equation is $ax^2+bx+c=0$ , then:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

We have,

$3x^2+x-5=0$

Here, $a=3,b=1,c=-5$ . Using the quadratic formula, we get

$x=\dfrac{-1\pm \sqrt{1^2-4(3)(-5)}}{2(3)}$

$x=\dfrac{-1\pm \sqrt{1+60}}{6}$

$x=\dfrac{-1\pm \sqrt{61}}{6}$

$x=\dfrac{-1\pm 7.81025}{6}$

Now,

$x=\dfrac{-1+7.81025}{6}$

$x=1.13504167$

$x\approx 1.14$

And

$x=\dfrac{-1-7.81025}{6}$

$x=-1.468375$

$x\approx -1.47$

Therefore, the required solutions are 1.14 and -1.47.

3 0

2 years ago

A person 2 m tall casts a shadow 10 m long. At the same time, a building casts a shadow 80 m long. How tall is the building ?

Novosadov [1.4K]

Answer:

The building is 16 m tall.

Step-by-step explanation:

x/2 = 80/10

10x=160

10x/10 = 160/10

x=16

8 0

2 years ago

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The sum of three consecutive even integers is -198. find the largest integer.

Kaylis [27]

Let, the integers = x, x + 2, x+ 4

It is given that, x + x+2 + x+4 = -198
3x + 6 = -198
3x = -198 - 6
x = -204/3
x = -68
Largest number, x+4 = -68+4 = -64

In short, Your Answer would be: -64

Hope this helps!

4 0

3 years ago

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