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nikdorinn [45]
8 months ago
15

Estimate the area of the square shown below A.) 36 ft^2B.) 20 ft^2C.) 100 ft^2D.) 81 ft^2

Mathematics
1 answer:
Novosadov [1.4K]8 months ago
3 0

The area of a square can be calculated by using this formula:

A=s^2

Where "s" is the length of a side of the square.

In this case, you can identify that:

s=9.7ft

Then, in order to estimate the area of the square, you can follow these steps:

1. Round the length "s" to the nearest whole number. Since the first digit after the Decimal point is 7 and:

7>5

You must round up:

s\approx10ft

2. Knowing that:

10^2=10\cdot10

You can determine that:

A\approx100ft^2

Hence, the answer is: Option C.

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The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150
tiny-mole [99]

Answer:

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related.

This means that n = 200, \pi = \frac{150}{200} = 0.75

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.}{2} = 0.975, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.6996

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.8004

As percent:

0.6996*100% = 69.96%

0.8004*100% = 80.04%.

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

6 0
3 years ago
If two lines are parallel and cut by a transversal, then the corresponding angles are congruent. What is the converse of this po
FromTheMoon [43]
If two lines are cut by a transversal and the corresponding angles are congruent, then the two lines are parallel.
5 0
2 years ago
Sophia buys a certain brand of cereal that costs $5 per box. Yani changes to a super-saving brand of the same size. The equation
koban [17]

$ 0.65 more dollars is the price of a box Sophia's original brand of cereal than the price of a box of the super-saving cereal

Amount saved each month with the change in cereal brand if he buys 5 cereal boxes each month is $ 3.25

<em><u>Solution:</u></em>

Given that Sophia buys a certain brand of cereal that costs $5 per box

The equation shows the price, y, as a function of the number of boxes, x, for the new brand:

y = 4.35x

<em><u>Part A:</u></em>

New brand, y = 4.35x where y is the price and x is the number of boxes

Original brand, y = 5x since given that cereal that costs $5 per box

If Sophia old cereal preference was $5, and the equation shows that the new cereal preference is $4.35, if I subtract the amount of the new one from the old,

we get , 5 - 4.35 = 0.65

Therefore, $ 0.65 more dollars is the price of a box Sophia's original brand of cereal than the price of a box of the super-saving cereal

<em><u>Part B:</u></em>

Given that if he buys 5 cereal boxes, let us calculate price for old and new brand

New brand, y = 4.35x

New brand, y = 4.35(5) = 21.75

Original brand, y = 5x = 5(5) = 25

Amount saved = $ 25 - $ 21.75 = $ 3.25

Thus amount saved each month with the change in cereal brand if he buys 5 cereal boxes each month is $ 3.25

6 0
3 years ago
Pls help! evaluate the sine of the real number, pls give exact answers
solong [7]

Answer:

 -\frac{\sqrt2}{2} \\  or exact is −0.70710678...

Step-by-step explanation:

Getting the point!

  1. If we look at the unit circle and we find -\frac{3\pi }{4} we see it is in the 3rd quadrant.
  2. We know that all points in the 3rd quadrant have both negative x and negative y values.
  3. We know that all radians with the base of 4 on the unit circle have the points of (\frac{\sqrt{2}}{2} ,\frac{\sqrt{2}}{2})
  4. Because we are in the 3rd quadrant and both x and y are negative we know the point of -\frac{3\pi }{4}  is (-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2})

Finding the sin!

  1. Because we know that sin is asking us for the y value
  2. We can just look at the point and find the y value!
  3. the y value is -\frac{\sqrt2}{2} \\
  4. Because this fraction does not need to be rationalized we are good!
  5. Use a calculator to find the exact value and you get -0.70710678...
  6. The final answer is  -\frac{\sqrt2}{2} \\ or exact is −0.70710678...

Hope this helps!! Please mark Brainliest!

4 0
1 year ago
A carpenter cut a 13 1/2 foot piece of wood into 3/4 foot pieces. After cutting the wood, how many pieces did the carpenter have
avanturin [10]

Answer:    

18

Step-by-step explanation:

  1. Turn the mixed number into an improper fractions: 13 × 2 = 26, 26 + 1 = 27
  2. Re-write improper fraction: \frac{27}{2}  
  3. \frac{27}{2} ÷ \frac{3}{4} = \frac{27}{2} × \frac{4}{3}  
  4. \frac{27}{2} × \frac{4}{3} = \frac{108}{6}  
  5. 108/6 = 18

I hope this helps!

4 0
2 years ago
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