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vredina [299]
2 years ago
6

A store is having a 20 percent off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of h

er purchase? Explain or show your reasoning.
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
3 0

Answer:

$65

Step-by-step explanation:

Given

Percentage discount = 20%

Equivalent amount saved = $13

Let the original price of the product be x

To get x;

20% of x  = 13

0.2x =  13

0.2x  = -13

0.2 = 13

x = 13/0.2

x = $65

Hence the original price of the product is $65

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Answer:

Alternate Interior angles

Explanation: Usually an angle of elevation is less than or equal to 90°. ... As a result the angles of elevation and depression are alternate (interior) angles. Since the transversal intersects two parallel lines, and alternate interior angles are congruent, the angle of elevation and angle of depression must also be congruent.

3 0
3 years ago
Can someone please help me with this question?? It’s really hard and once you understand it, can you please give me an explanati
Thepotemich [5.8K]

We want to subtract 8x + 3 from -2x+5. We can create an expression to represent this.

-2x + 5 - (8x + 3).


After this, lets distribute the - sign (think of this like expanding something with -1).

-2x + 5 - 8x - 3


Lastly, we just need to combine like terms.

-2x + 5 - 8x - 3


Combine the 5 and -3 to get 2.

-2x + 2 - 8x


Combine the -2x and -8x to get -10x.

-10x + 2


The final answer to the question is therefore A.

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3 years ago
Aran moved a cone-shaped pile of sand that had a height of 4 ft and a radius of 3.2 ft. He used all of the sand to fill a cylind
Yuliya22 [10]
So volue of a cone=area of circle base times heigt times 1/3

height=4
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2 years ago
Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te
andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 30 pound

Sample mean, \bar{x} = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s =  2 pounds

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}

We use one-tailed(left) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012

Now,

t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729

Since,                    

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

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3 years ago
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