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kirill [66]
2 years ago
9

PLEAS HELP ME :) (Above)

Mathematics
2 answers:
Naddika [18.5K]2 years ago
8 0

Answer:

A) 137/219

Step-by-step explanation:

The total number of students in the sample  = 219

The total number of students in the 23+ category = 137

Finally, the fraction of students in the 23 + category to that of the total sample

is 137/219

Aleksandr-060686 [28]2 years ago
5 0
I don’t understand it ;(
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HELP ASAP PLEASE & SHOW UR WORK!! THANK YOU <3
olchik [2.2K]

Answer:

x^2 - 5x = 14

x^2 - 5x-14 = 0

Now, we have to find the multiples of -14 and numbers that add/subtract to -5; this helps to find the factors.

-7+2 = -5

-7*2 = -14

Based on the above info, we can find out my factors; they are:-

(x-7)(x+2)

4 0
3 years ago
The incline of a roller coaster is 2 times as long as its elevation, and the horizontal length of the roller coaster is 11 m mor
Gelneren [198K]
Let 
x-------> t<span>he horizontal length of the roller coaster
y------> </span>the elevation of the roller coaster
c------> t<span>he incline of a roller coaster
</span>
we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3

substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is 
y=15.026 m

c=2*y-----> c=2*15.026----> c=30.052 m

the answer is
30.05 m


7 0
3 years ago
(True or False) 17/20 is equivalent to 85%
34kurt
The answer is true!!
3 0
2 years ago
Read 2 more answers
A rectangular sheet of metal has identical squares cut from each corner. The sheet is then bent along the dotted lines to form a
Reika [66]

The <em><u>correct answer</u></em> is:

3 inches.

Explanation:

We will use the Rational Roots Theorem to solve this.

First we can divide both sides of the equation by 4 in order to simplify it:

\frac{4x^3-72x^2+320x}{4}=\frac{420}[4} \\ \\x^3-18x^2+80=105

In order to solve this, we want the polynomial set equal to 0. To do this, subtract 105 from both sides:

x^3-18x^2+80x-105=105-105 \\x^3-18x^2+80x-105=0

The Rational Roots Theorem says that if p/q is a root of the polynomial, then p is a factor of the constant term and q is a factor of the leading coefficient. The constant term is -105. Drawing a factor tree, we find that the factors of this number are 1, -1, 3, -3, 5, -5, 7, -5, 15, -15, 21, -21. The leading coefficient is 1; its only factor is 1. This means p/q must be a whole number, and can be any of the factors of 105.

Using synthetic division, we try 1 in the box:

<u>1 |</u> 1 -18 80 -105

_______<u> 1</u>__<u> -17</u>___<u>63</u>__

1 -17 63 -42

Since there is a remainder, this is not a root. Trying -1,

<u>-1 |</u> 1 -18 80 -105

_______<u>-1</u>__<u> 19 </u>_<u>-99</u>_

1 -19 99 -204

This is not a root; in fact, it shows us that none of the negatives will be a factor, as the absolute values increase as we complete the synthetic division.

Trying 3,

3 | 1 -18 80 -105

________<u>3</u>__<u>-45</u>___<u>105</u>_

1 -15 35 0

Since there is no remainder, 3 is a root, and is the answer we are looking for.

3 0
3 years ago
Read 2 more answers
The three sides of a triangle are n. 4n + 1. and 4n - 2. If the perimeter of the triangle is 71 feet, what is the length of each
Charra [1.4K]

Answer:

8

Step-by-step explanation:

n+(4n+1)+(4n-2) = 71

n+4n+1+4n-2= 71

   9n-1=71

    9n= 72

      n=8

3 0
3 years ago
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