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Nat2105 [25]
3 years ago
9

A number, n, is rounded to 2 decimal places.

Mathematics
1 answer:
frosja888 [35]3 years ago
7 0

Using<u> rounding concepts</u>, it is found that the error interval for n is:

3.865 \leq n < 3.875

The number is rounded to two decimal places, hence:

  • If the third decimal digit is 5 or more, one is added to the second decimal digit.
  • If the third decimal digit is of 4 or less, the second digit stays the same.

From this, we have that values between 3.865(inclusive) and 3.875(exclusive) are rounded to 3.87, which means that the error interval is:

3.865 \leq n < 3.875

A similar problem is given at brainly.com/question/21406226

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Find a polynomial f(x) of degree 3 that has the following zeros.
Thepotemich [5.8K]

Answer:

f (x) = x (x + 5) (x-9)

Step-by-step explanation:

The zeros of the polynomial are all the values of x for which the function f (x) = 0

In this case we know that the zeros are:

x = 9,\  x-9 =0

x = 0

x = -5, x + 5 = 0

Now we can write the polynomial as a product of its factors

f (x) = x (x + 5) (x-9)

Note that the polynomial is of degree 3 because the greatest exponent of the variable x that results from multiplying the factors of f (x) is 3

3 0
3 years ago
A survey of 100 people asked if they have a dog or a cat. The answers were: 56 people answered yes for dog and 51 people answere
den301095 [7]

Answer:  The maximum number of people who could answer yes for both cat and dog is 7.

Step-by-step explanation:  Given that a survey of 100 people asked if they have a dog or a cat.

Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.

We are to find the maximum number of people that could answer yes for both cat and dog.

Let A and B represents the set of people that answered Yes for dog and Yes for cat respectively.

Then, according to the given information, we have

n(A)=56,~~n(B)=51.

From Set Theory, we have

n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\\Rightarrow n(A\cup B)=56+51-n(A\cap B)\\\\\Rightarrow n(A\cup B)=107-n(A\cap B)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Since the total number of people is 100, so we get

n(A\cup B)\geq 100.

Therefore, from equation (i), we get

107-n(A\cap B)\geq 100\\\\\Rightarrow n(A\cap B)\leq 107-100\\\\\Rightarrow n(A\cap B)\leq 7.

Thus, the maximum number of people who could answer yes for both cat and dog is 7.

4 0
3 years ago
Read 2 more answers
Howard pays $327 for one dozen collector's edition baseball cards. About how much does he pay for each baseball card?
Novosadov [1.4K]
Divide 327 by 12 to get 27.25. Howard pays 27 dollars and 25 cents for each card.
4 0
3 years ago
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What is the standard equation of the circle in the graph
ivanzaharov [21]

Answer:

option 1

Step-by-step explanation:

formula:(x-h)^(2)*(y-k)^(2)=r^2

well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2

if you move the circle 2 units up, plug it in you get (-2), so it is

(x+3)^2*(y-2)^(2)=r^2

now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus

(x+3)^2*(y-2)^(2)=9

this is the answer, and the option that has it is answer is option 1

6 0
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If the radius of the cone is 9 inches,
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