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2 years ago

After a 16% increase the price of a pair of running shoes was $40.60. What was the old price of the shoes

Mathematics

1 answer:

Delvig [45]2 years ago

5 0

Answer:

34.10

Step-by-step explanation:

Note:

16% = .16

Important:

What was the old price of the shoes

Solution:

40.60 x .16 = 6.946 [Round:6.50]

40.60-6.50= 34.10

Hence, the old price of the shoes is $34.10

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The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1610 and a stand

romanna [79]

Answer:

Step-by-step explanation:

We know that in normal distribution, approximately 34% of bags will fall with in one standard deviation on one side. On both sides within the range of 1 standard deviation, 34 + 34 = 68 % of bags will fall.

Our range is:

1600 to 1620

1610 - 10 to 1610 + 10

So the answer is 1

That means, that 68% is the answer.

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What is the rule for the reflection?

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The answer is C because if you put
$x = - 2 \\ y = 1 \\$
Find the reflected two points which are:
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3 years ago

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Which rectangle if reflected over the x-axis and then translated 8 units right will result in rectangle E?

Komok [63]

Answer:

Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E

Step-by-step explanation:

The coordinates of rectangle D are:

(-1, 1)

(-1, 4)

(-3, 1) and

(-3, 4)

The rule of reflection across x-axis is given by:

$(x, y) \rightarrow (x , -y)$

$(-1, 1) \rightarrow (-1 , -1)$

$(-1, 4) \rightarrow (-1 , -4)$

$(-3, 1) \rightarrow (-3 , -1)$

$(-3, 4) \rightarrow (-3 , -4)$

Next, translate this 8 unit right which is given by:

$(x, y) \rightarrow (x+8 , y)$

$(-1, -1) \rightarrow (-1+8 , -1) =(7, -1)$

$(-1, -4) \rightarrow (-1+8 , -4) =(7, -4)$

$(-3, -1) \rightarrow (-3+8 , -1) =(5, -1)$

$(-3, -4) \rightarrow (-3+8 , -4) =(5, -4)$

⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.

Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E

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3 years ago

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The mean of the scores obtained by a class of students on a physics test is 42. The standard deviation is 8%. Students have to s

NemiM [27]

The correct answer is:
16%.

Explanation: 
We use a z-score to answer this question.
The formula for a z-score is:
z= $\frac{x-mue}{sigma}$ ,
where mue is the mean and sigma is the standard deviation.

Using our information, we have:
z= $\frac{50-42}{8} = \frac{8}{8} = 1$ .

Using a z-table, we see that the area to the left of, or less than, this score is 0.8413. We want to know how many students scored more than this, so we subtract from 1:
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Nataliya [291]

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=5x+2 f - 1 ( x ) = 5 x + 2 is the inverse of f(x)=5x−2 f ( x ) = 5 x - 2 .

Step-by-step explanation:

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2 years ago