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GrogVix [38]
2 years ago
13

Choose all fractions equivalent to each given fraction

Mathematics
2 answers:
AnnZ [28]2 years ago
4 0

For a, 7/-8 and -(7/8) are both equivalent to -7/8 because they have 1 negative sign. It doesn't matter where it is on the fraction as long as there is only 1 negative sign.

For b, -2/-3 is equivalent to 2/3 because the double negatives cancel each other out to equal a positive.

Airida [17]2 years ago
3 0

Answer:

\frac{-7}{8} = -\frac{7}{8}

\frac{2}{3} = \frac{-2}{-3}

Step-by-step explanation:

the negative can just move down on -7

the negatives cancel out on -2/-3 to make 2/3

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For the 1,000-meter running event, Abby's mean time is 4.5 minutes with a standard deviation of 0.75 minutes. For the 800-meter
Lilit [14]

Answer:

He performed better in the 800 m race

Step-by-step explanation:

Obtain the standardized score for each event :

Zscore = (score - mean) / standard deviation

1000 meter :

Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1

Zscore = (4.1 - 4.5) / 0.75

Zscore = - 0.4 / 0.75 = - 0.5333

800 meter :

Mean = 3.2 ; Standard deviation = 0.4 ; x = 3

Zscore = (3 - 3.2) / 0.4

Zscore = - 0.2 / 0.4 = - 0.5

-0.5 > - 0.533

Hence, he performed better in the 800 m race

3 0
3 years ago
Read 2 more answers
The directrix of a parabola is x = 4. Its focus is (2,6) .
Sati [7]

Answer:

Step-by-step explanation:

If you plot the directrix and the focus, you can see that the focus is to the left of the directrix.  Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific.  The formula for the parabola that opens to the left is

-(y-k)^2=4p(x-h)

We will solve this for x at the end.  The negative is out front because it opens to the left.  If it opened to the right, it would be positive.

The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus.  Since the vertex is directly between both the directrix and the focus, each distance is the same.  P = 1.  Filling in what we have now:

-(y-6)^2=4(1)(x-3) which simplifies to

-(y-6)^2=4(x-3)

Now we will solve it for x.

-(y-6)^2=4x-12 and

-(y-6)^2+12=4x so

-\frac{1}{4}(y-6)^2+12=x

4 0
3 years ago
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avanturin [10]

Answer:$1.08 cents.

Step-by-step explanation:

$6 - $4.52 = $1.08.

6 0
2 years ago
-6t-7=17 what does t equal
Grace [21]

Answer:

t=-4

Step-by-step explanation:

I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4

7 0
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I think the slope is 5 and 7
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