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love history [14]
3 years ago
5

Tina wants to decorate a rectangular picture frame measuring 18 w 14 tall she has 4 ft of rope dies she have enough rope

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Tina does not have enough rope to decorate the frame

Step-by-step explanation:

Tina wants to decorate a rectangular picture frame

  • The width of the frame is 18 inches
  • The length of the frame is 14 inches
  • She has 4 feet rope

We want to know if she has enough rope or not to decorate the frame

∵ The frame is in the shape of the rectangle

- The length of the rope must be equal the perimeter of the frame

∵ The perimeter of a rectangle = 2 length + 2 width

∵ The length = 14 inches

∵ The width = 18 inches

∴ The perimeter of the frame = 2(14) + 2(18) = 28 + 36 = 64 inches

∵ The length of the rope is 4 feet

∵ 1 foot = 12 inches

∴ The length of the rope = 4 × 12 = 48 inches

∵ 48 < 64

∴ The length of the rope is less than the perimeter of the frame

∴ Tina does not have enough rope

Tina does not have enough rope to decorate the frame

Learn more:

You can learn more about word problems in brainly.com/question/12148432

#LearnwithBrainly

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Suppose the parent population has an exponential distribution with a mean of 15 and standard deviation of 12. Use the Central Li
bazaltina [42]

Answer:

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population, we have that:

Mean = 15

Standard deviaiton = 12

Sample of 30

By the Central Limit Theorem

Mean 15

Standard deviation s = \frac{12}{\sqrt{30}} = 2.19

Approximately normal

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

4 0
3 years ago
Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X. Show all work
aleksandr82 [10.1K]

Answer:

Equation of line is y=(12/5)x+2

Step-by-step explanation:

The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.

Now, point X satisfies the equation. Plugging in the slope of the line we end up with

y=(12/5)*x+c, now to find c

-10=(12/5)*(-5)+c, c=2

Equation of line is y=(12/5)x+2

7 0
3 years ago
If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
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2 years ago
5x + y = -5<br> I need to graph this pls help
Lisa [10]
Hope this helps
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A rectangle has an area of 822.4 square miles and a base of 32 miles. What is the height?
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I believe it would be 25.7 miles. I just divide 822.4 by 32.
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3 years ago
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