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Naddika [18.5K]
3 years ago
9

The length of a rectangle is 1 units more than the width. The area of the rectangle is 56 units. What is the length, in units, o

f the rectangle?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:

8

Step-by-step explanation:

Width is x.

Length is (x + 1).

Area = length*width

56 = x(x+1)

x² + x - 56 = 0

(x+8)(x-7)=0

x = - 8, or x = 7

"- 8" is impossible for width.

So, width x = 7

Length = (x+1) = 7+1 = 8

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The principal of a large high school wants to know if students spend more than 1 hour doing homework per night, on average. To i
MrRissso [65]

Answer:

If we define the random variable X ="time spend by the students doign homework"

And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:

Null hypothesis: \mu \leq 1

Alternative hypothesis: \mu >1

And they wnat to use a sample size of n = 100 and a significance level of 0.05

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

If we define the random variable X ="time spend by the students doign homework"

And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:

Null hypothesis: \mu \leq 1

Alternative hypothesis: \mu >1

And they wnat to use a sample size of n = 100 and a significance level of 0.05

7 0
3 years ago
Jeff typed a 5-page term paper with 600 words per page. He typed an average of 40 words per minute. If he started typing at 8:15
Leno4ka [110]

Answer:

If Jeff is types 5 pages at 600 words per page, then he types 3,000 words (5 x 600).

So, if Jeff started typing at 8:15 am, he'd finish at 9:30 am.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Simplify: -6x+3y-2x-5y
meriva

Answer:

-8x-2y

Step-by-step explanation:

Combine Like Terms (-6x + -2x) and (-5y + 3y).

5 0
3 years ago
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Which is a better deal: five tulips for $3.00 or seven tulips for $4.00?
guajiro [1.7K]

Answer:

Step-by-step explanation:

7 divided by $4.00 = $1.75/per tulip

5 divided by $3.00 = $1.67/per tulip

Five tulips for 3.00 dollars

5 0
2 years ago
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Simplify: 18q2−45q+25/9q2−25.
Svet_ta [14]

Answer:

\frac{(6q-5)}{(3q+5)}

Step-by-step explanation:

Given: \frac{18q^{2}-45q+25 }{9q^{2}-25 }

Factorizing the numerator and the denominator, we have:

18q^{2} - 45q + 25 = 18q^{2} - 30q - 15q + 25

                         = (3q - 5)(6q - 5)

and

9q^{2} - 25 = (3q - 5)(3q + 5)

So that,

\frac{18q^{2}-45q+25 }{9q^{2}-25 } = \frac{(3q-5)(6q-5)}{(3q-5)(3q+5)}

                 = \frac{(6q-5)}{(3q+5)}

Therefore,

\frac{18q^{2}-45q+25 }{9q^{2}-25 } = \frac{(6q-5)}{(3q+5)}

5 0
3 years ago
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