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3 years ago

Consider the following data set:

Mathematics

1 answer:

Komok [63]3 years ago

3 0

Answer:

+5 Range; The range is now 25

Step-by-step explanation:

The original range would be calculated by subtracting 20 from 40, giving you 20 as the range. However, with the point 15 added, there would be a new lowest number, making the new range be 40-15, which is 25.

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Find the value of x. Round to the nearest tenth. 20 X 35

uranmaximum [27]

Answer:

i think it's 40 I don't know.

Step-by-step explanation:

5 0

3 years ago

Solution to the inequality 16x−33x<37x+27.

astra-53 [7]

The solution to the inequality is:

$x>\frac{-1}{2}$

Solution:

Given inequality is:

$16x-33x$

We have to find the solution to given inequality

$\mathrm{Add\:similar\:elements:}\:16x-33x=-17x$

$-17x$

$\mathrm{Subtract\:}37x\mathrm{\:from\:both\:sides}$

$-17x-37x$

Simplify the above inequality

$-54x$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

Remember that, change the inequality sign if you divide or multiply both sides by a negative number

If you divide or multiply both sides by a positive number,the inequality sign will not change

$\left(-54x\right)\left(-1\right)>27\left(-1\right)\\\\54x>-27$

$\mathrm{Divide\:both\:sides\:by\:}54$

$\frac{54x}{54}>\frac{-27}{54}\\\\x>-\frac{1}{2}$

Thus the solution to inequality is found

3 0

4 years ago

The lengths of two sides of a triangle are 7.8 cm and 5.6 cm. Between what two measures should the length of the third side fall

zloy xaker [14]

Hello! To draw a triangle, first, we have to follow a condition of existence.

This rule is:

• one of the sides must be ,bigger, ,than the absolute value, of the ,difference between the other two, sides

• the unknown side must be ,smaller ,than the ,sum of the other, two sides.

Let's write these rules using a, b, and c for the sides:

Considering a = 7.8 and b = 5.6:

[tex]\begin{gathered} |a-b|So, the third side must be smaller than 13.4 and bigger than 2.2.

8 0

1 year ago

X^2-8x+16=5 what are the solutions?

svp [43]

Hey!

The first step to solving this equation would be to subtract 5 from both sides of the equation.

Original Equation :
$x^{2}$ - 8x + 16 = 5

New Equation {Added Subtract 5 to Both Sides} :
$x^{2}$ - 8x + 16 - 5 = 5 - 5

Now we solve our new equation.

Old Equation :
$x^{2}$ - 8x + 16 - 5 = 5 - 5

Solution {Old Equation Solved} :
$x^{2}$ - 8x + 11 = 0

The next step would be to solve with the quadratic formula.

Quadratic Equation ( 1 ) :
$x = \frac{-(-8) + \sqrt{(-8)^{2} -4 * 1 * 11 } }{2*1}$

Quadratic Equation ( 1 ) {Solved} :
4 + $\sqrt{5}$

Quadratic Equation ( 2 ) :
$x = \frac{-(-8) - \sqrt{(-8)^{2}-4 *1*11 } }{2*1}$

Quadratic Equation ( 2 ) {Solved} :
4 - $\sqrt{5}$

So, our final solutions for the equation $x^{2}$ - 8x + 16 = 5 are...

x = 4 + $\sqrt{5}$

and 

x = 4 - $\sqrt{5}$

Hope this helps!

- Lindsey Frazier ♥

5 0

3 years ago

A survey was conducted with a large group of teenagers from 6 different states and it asked them for their favourite sport out o

UkoKoshka [18]

Answer:

H0: There is no association between state and sporting preference.

H1: There is an association between state and sporting preference

Step-by-step explanation:

The hypothesis to be tested for is whether the factor 'state' is associated with the factor 'sporting preference'.

The study is therefore about 'association' and whether the distributions of sporting preferences are identical across states. In scenario in this case is the test for association which is the most appropriate test.

Two factors are deemed to not be associated unless there is supporting evidence to suggest otherwise. Since the null hypothesis is the default belief, the correct pair of hypotheses are:

H0: There is no association between state and sporting preference.

H1: There is an association between state and sporting preference

3 0

3 years ago