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Dmitrij [34]
3 years ago
8

A homeowner measured her rectangular backyard as having a length of 40 yards and a width of 25 yards. Her measurements were accu

rate to the
nearest yard. What is the range of possible values for A, the actual area in square yards of her backyard?
A
936 < A < 1,066
B
967. 75 < A< 1,032.75
с
999 < A< 1,001
D
999.5
Mathematics
1 answer:
kotegsom [21]3 years ago
7 0

Answer:

B.

Step-by-step explanation:

You might be interested in
Which two rational numbers does √14 lie between?
Fiesta28 [93]

First, let's find what √14 equals.

√14 ≈ 3.74

Now, we can solve for all the answer choices.

Option A:

19/6 = 3.1666...

22/7 = 3.1428...

Option B:

Doesn't need to be solved.

3.17

3.71

Option C:

√4 = 2

√9 = 3

Option D:

Doesn't need to be solved.

3.70

3.75

The only option that contains √14 between it, is Option D.

Hope This Helped! Good Luck!

7 0
3 years ago
Read 2 more answers
What are the characteristics of the function f(x)=2(x-4)^5? Check all that apply
GaryK [48]

Answer:

Option B , C , E are characteristics of the function .

Step-by-step explanation:

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

Solution : We have given that f(x)=2(x-4)^{5}.

By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.

Since , Option E is correct.

It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.

Option C is also correct.

By transformation rule it is vertical stretch and shift to right (B )

Therefore, Option B , C , E are characteristics of the function .

3 0
4 years ago
Find all angles, 0 ≤C&lt;360 that satisfy the equation below, to the nearest tenth of a degree.
ludmilkaskok [199]

Move all the terms involving the sine to one side, and all the numbers to the other:

9\sin(c)-2=\sin(c)-7 \iff 8\sin(c) = -5\iff \sin(c)=-\dfrac{5}{8} \iff c = \arcsin\left(-\dfrac{5}{8}\right)\approx 321.3

7 0
4 years ago
Please give me the correct answer. No mistakes. Thanks.
IceJOKER [234]

Answer:

Hello there, I think the answer you are looking for is 16.6

Step-by-step explanation:

I'm Katie, I hope this helps you. :] , have a great day.

6 0
3 years ago
A regression of y = calcium content (g/L) on x = dissolved material (mg/cm2) was reported in the article "Use of Fly Ash or Sili
MatroZZZ [7]

Answer:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

b) 10.878

c) S ≈ 1.99

Step-by-step explanation:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

<u>B) Point estimate of true average calcium content </u>

Given that dissolved material = 50 mg/cm^2

= 3.678 + 0.144 * dissolved material

=  3.678 + 7.2 =  10.878

<u>C) Determine an estimate of error standard deviation </u>

Given that ; sum of squares ( SST ) = 320.398

                   COD ( r )  = 0.86

first;  calculate the value of SSE = SST - SST ( r^2 )

SSE = 320.398 - 320.398 ( 0.86) ^2

       = 83.43

Finally ; determine the estimate of error standard deviation

S^2 = SSE / n -2

      = 83.43 / 23 - 2

∴ S ≈ 1.99

6 0
3 years ago
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