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tigry1 [53]
1 year ago
15

Round 0.9998 to 3 decimal places

Mathematics
2 answers:
pogonyaev1 year ago
5 0
<span>In the laws of mathematics, especially in rounding off digits, you should take note of the digit following that number no matter how long or short a number is. If the number is preceded by numbers between 0-4, the number does not change. However if its is preceded by numbers between 5-9, add one to the number. In this problem, you are required to round off each number to the nearest ten million before adding them. So 0.9998 is equal to 1 </span>
mojhsa [17]1 year ago
3 0
The answer would be one because  .9998 would round the 9 to a 10 which would round the second 9 and then the third nine to make 1

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C. (18+4)

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According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?f(X) 3x4 +2xfox)- (6x -4x5-10 3x2
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<u><em>Answer:</em></u>
A. (3x²-4x-5)(2x⁶-5)

<u><em>Explanation:</em></u>
<u>The fundamental theorem of Algebra states that:</u>
"A polynomial of degree 'n' will have exactly 'n' number of roots"

We know that the degree of the polynomial is given by the highest power of the polynomial.
Applying the above theorem on the given question, we can deduce that the polynomial that has exactly 8 roots is the polynomial of the 8th degree

<u>Now, let's check the choices:</u>
<u>A. (3x²-4x-5)(2x⁶-5)</u>
The term with the highest power will be (3x²)(2x⁶) = 6x⁸
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<u>B. (3x⁴+2x)⁴</u>
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<u>C. (4x²-7)³</u>
The term with the highest power will be (4x²)³ = 64x⁶
Therefore, the polynomial is of 6th degree which means that it has exactly 6 roots. This option is incorrect

<u>D. (6x⁸-4x⁵-1)(3x²-4)</u>
The term with the highest power will be (6x⁸)(3x²) = 18x¹⁰
Therefore, the polynomial is of 10th degree which means that it has exactly 10 roots. This option is incorrect

Hope this helps :)
6 0
2 years ago
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5 0
2 years ago
Sarah and thomas are going bowling. the probability that sarah scores more than 175 is 0.4, and the probability that thomas scor
pychu [463]

When the occurrence of one event say A does not affect the occurrence of another event say B, than the two events are said to be independent such that;

\\  &#10;P(A\cap B)=P(A)\times P(B)

where, P(A) = probability of occurrence of event A

and P(B) = probability of occurrence of event B

(a).

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

and P(B)= Probability that Thomas scores more than 175 = 0.2

Since, the scores are independent, thus the probability that both Sarah and Thomas scores more than 175 is,

\\  &#10;P(A\cap B)=P(A)\times P(B)\\  &#10;P(A\cap B)= 0.4\times 0.2= 0.08\\

Hence, the required probability is 0.08

(b).

When the occurrence of one event say A affects the occurrence of another event say B, than the two events are said to be dependent such that;

\\  &#10;P(A\cap B)=P(A)\times P(B\setminus A)\\

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

         P(B)= Probability that Thomas scores more than 175 = 0.2

and P(B|A) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.3

Thus, the required probability is calculated as follows;

\\  &#10;P(A\cap B)=P(A)\times P(B\setminus A)\\  &#10;P(A\cap B)=0.2\times 0.3=0.06



             



             


7 0
1 year ago
Which of the following notations correctly describe the end behavior of the polynomial graphed below?
algol13

The right answer is C

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x \rightarrow -\infty, f(x) \rightarrow -\infty \\ \\ x \rightarrow \infty, f(x) \rightarrow -\infty <em> </em>

4 0
1 year ago
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