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3 years ago

1-4: Find the measures of central tendency, then determine the range of the data.

Mathematics

1 answer:

Hunter-Best [27]3 years ago

8 0

Answer:

Step-by-step explanation:

1=71

2=70

3= 68 and 75, they both appear twice

4= 8

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Solve the following equations;- x - 9 /√x + 3 =1

fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

$\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1$

Cross multiply ,

$\sf\implies x - 9 =\sqrt{ x +3}$

Squaring both sides ,

$\sf\implies (x - 9)^2 = x + 3$

Simplify the whole square ,

$\sf\implies x^2+9^2-2.9.x = x +3 \\$

$\sf\implies x^2+81 - 18x = x -3$

Add 3 and subtract x on both sides ,

$\sf\implies x^2 -18x-x +81-3=0$

Simplify ,

$\sf\implies x^2 -19x +78=0$

Split the middle term of the quadratic equation,

$\sf\implies x^2-13x-6x+78=0$

Take out common ,

$\sf\implies x( x -13)-6(x-13)=0$

Take out ( x -13 ) as common ,

$\sf\implies ( x -13)(x-6)=0$

Equate both factors to 0 ,

$\sf\implies \boxed{\pink{\sf x = 13,6}}$

Hence the value of x is 13 or 6 .

7 0

3 years ago

What is the equation of the line that passes through point(7, -8) and has a slope of zero? A. y =7B. x = 7C. x = -8D. y = -8

Bond [772]

y = -8

y = mx + b, where m is the slope and b is the y intercept

since m = 0, the term mx = 0

since the line passes throug (7, -8) then y = -8

6 0

1 year ago

The denominator of a fraction is 3 more than its numerator. If 2 is added to both the numerator and the denominator, the 2 new f

Julli [10]

Answer:

4/7

Step-by-step explanation:

Using the hint, we have an original fraction of x/(x+3). The given manipulations and relations can be used to find the value of x, and the original fraction.

<h3>adding 2 to each term</h3>

The new fraction is ...

$\dfrac{x+2}{(x+3)+2}=\dfrac{x+2}{x+5}\\$

<h3>new value</h3>

Apparently, the new value of this fraction is 2/3. We can use this to find the value of x.

$\dfrac{x+2}{x+5}=\dfrac{2}{3}\\\\3(x+2)=2(x+5)\qquad\text{multiply by $3(x+5)$}\\\\3x+6=2x+10\qquad\text{eliminate parentheses}\\\\x=4\qquad\text{subtract $2x+6$}$

The original fraction is ...

4/(4+3) = 4/7

_____

Alternate solution

In the ratio 2/3, the numerator is twice the difference between the denominator and numerator. 2 = 2(3 -2)

The problem statement tells us the difference between the numerator and denominator is 3. That is not changed by adding the same number to each. This means the fraction equivalent to 2/3 is (2·3)/(3·3) = 6/9. Subtracting 2 from each of the numerator and denominator gives the original fraction:

(6-2)/(9-2) = 4/7

7 0

2 years ago

What is the solution to the equation

Dimas [21]

Answer:

D) 21!

Step-by-step explanation:

So what we are dealing with here is some fractions that need to be made equal

Think about the fractions 1/2 and 2/4. They look different, right?

Well really, they are equal to another. All we need to do is simplify them!

If we divide the numerator and denominator (the top and bottom) of the fraction by, lets say, 2!

2 / 2 = 1

- -

4 / 2 = 2

And viola! It's been simplified down, and now we can see they are alike!

2 pieces of a pie cut in 4 pieces is the same as 1 piece of a pie cut in half!

(pro-tip, always try dividing a fraction by 2 first)

So now, using the same principal, we can solve this problem

By taking the denominators and dividing them like this:

35 / 5 = 7

We get 7! Now since we need to make these fractions equal, lets multiply the 7 we just got by the numerator of the second fraction, 3

7 x 3 = 21

So if we put the 21 over the 35, we get 21/35!

Thus, our answer is 21!

6 0

3 years ago

This is algebra please help

Ghella [55]

Answer:

1/8 and 1/16

Step-by-step explanation:

The negative exponent just means to right the negative inverse.

For example:

4^-2 means 4^2 but in a fraction

the answer would be 1/16

4 0

3 years ago