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erik [133]
1 year ago
12

Given the polynomial 21x 4 + 3y - 6x 2 + 34

Mathematics
1 answer:
padilas [110]1 year ago
5 0
The given polynomial is 21x⁴ + 3y - 6x² + 34

We want to subtract a polynomial, f(x) so that
21x⁴ + 3y - 6x² + 34 - f(x) = 29x² - 7

Therefore
-f(x) = 29x² - 7 - (21x⁴ + 3y - 6x² + 34)
       = -21x⁴ + 35x² - 3y - 41

Answer: 21x⁴ - 35x² + 3y + 41
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Employment data at a large company reveal that 74% of the workers are married, 42% are college graduates, and that 56% are marri
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Answer:

(E) None of these above are true.

Step-by-step explanation:

Married = 74% or 0.74

College graduates = 42% or 0.42

pr(married | college graduates) = 0.56

(A) These events are pairwise disjoint. This is false. Pairwise disjoint are also known as mutually exclusive events. Here we can see that both events are occurring at same time.

(B) These events are independent events. This is also false.

(C) These events are both independent and pairwise disjoint. False

(D) A worker is either married or a college graduate always. False

Here Probability(A or B) shall be 1

= Pr(A) + Pr(B) - Pr( A and B) = 0.74 + 0.42 - 0.56 * 0.42 = 0.9248

This is not equal to 1.

(E) None of these above are true. This is true.

8 0
2 years ago
2 A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must he use to make 50 grams of a
nalin [4]
<h2>Therefore he took 40 gram of 1^{st} type solution and 10 gram of 2^{nd} type solution.</h2>

Step-by-step explanation:

Given that , A pharmacist 13% alcohol solution another 18% alcohol solution .

Let he took x gram solution of 1^{st} type solution

and he took (50-x) gram of 2^{nd} type solution.

Total  amount of alcohol =[x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ] gram

Total amount of solution = 50 gram

According to problem

⇔\frac{ [x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ]}{50}= \frac{14}{100}

⇔\frac{13x +900-18x}{100\times50} =\frac{14}{100}

⇔- 5x= 700 - 900

⇔5x = 200

⇔x = 40 gram

Therefore he took 40 gram of 1^{st} type solution and (50 -40)gram = 10 gram of 2^{nd} type solution.

7 0
2 years ago
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Savatey [412]
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8 0
1 year ago
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The health benefits Tom receives from his employer cover 43% of the total monthly premium of $345.00. How much does Tom have to
Elza [17]

Answer:

The Amount tom has to pay is $196.65 therefore, Option b is correct

Step-by-step explanation:

Tom recieves 43% of total monthly premium

That means out of 100%  he is getting 43% he has to pay (100%-43%)= 57% of $345.00

The amount Tom has to pay each month is 57\%\cdot 345.00 it will become .57 \cdot 345.00=196.65

57\%=\frac{57}{100}=.57

Therefore,The Amount tom has to pay is $196.65 that is option b is correct


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1 year ago
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