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jeka57 [31]
3 years ago
14

Simplify the polynomial. a. 18a+(a–9)^2

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
5 0

Answer:

a² + 81 is your answer

Step-by-step explanation:

First, expand the power:

(a - 9)² = (a - 9)(a  - 9)

Use the FOIL method.

(a)(a) = a²

(a)(-9) = -9a

(-9)(a) = -9a

(-9)(-9) = 81

Combine like terms: a² - 9a - 9a + 81

a² (- 9a - 9a) + 81

a² - 18a + 81

Simplify. Combine like terms:

18a + a² - 18a + 81

a² + (18a - 18a) + 81

a² + 81

a² + 81 is your answer

~

motikmotik3 years ago
4 0
18a+(a−9)2

Distribute:

=18a+a2+−18a+81

Combine Like Terms:

=18a+a2+−18a+81

=(a2)+(18a+−18a)+(81)

=a2+81

Answer:

=a2+81

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An experimenter flips a coin 100 times and gets 59 heads. Find the 98% confidence interval for the probability of flipping a hea
lara [203]

Answer:

The 98% confidence interval for the probability of flipping a head with this coin is (0.4756, 0.7044).

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}.

An experimenter flips a coin 100 times and gets 59 heads.

This means that n = 100, \pi = \frac{59}{100} = 0.59

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.59 - 2.327\sqrt{\frac{0.59*0.41}{100}} = 0.4756

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.59 + 2.327\sqrt{\frac{0.59*0.41}{100}} = 0.7044

The 98% confidence interval for the probability of flipping a head with this coin is (0.4756, 0.7044).

5 0
3 years ago
Need help plz due on Monday I believe
ra1l [238]

Answer:

1(a) = 10

1(b) = 9

1(c) = 12

2(a) = 8

2(b) = 10

2(c) = 1

Step-by-step explanation:

1(a) = 22 - 2.6

     = 22 - 12 = 10

1(b) = 6 - 1/4 . 16 + 21 / 3

     = 6 - 16/4 + 7

     = 6 - 4 + 7

     = 9

1(c) = (8-5). (5-3)^2

     = 3*2^2

     = 3*4

     = 12

2(a) = 4(x-2)/(x-1) when x = 0

       = 4(0-2)/ (0-1)

       = 4*-2/-1

       = -8 / -1

       = 8

2(b) = (-3x^2 + 4) / 4 when x = -2

       = (6^2 + 4) / 4

        = (36 + 4) / 4

       = 40 / 4 = 10

2(c) = [-2x/4 + 4*(x-1)] / x^2 - 1 when x = 2

      = (-1 + 4 * 1) / 4 - 1

      = 3 / 3

      = 1

         

6 0
3 years ago
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kari74 [83]

 1.Since 5 is less than 8, borrow 1 from the next column to make 15.



 2.Calculate 15 - 8, which is 7.


 3.Calculate 3 - 3, which is 0.

 4.Since 2 is less than 5, borrow 1 from the next column to make 12.


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7.<span>Therefore, 102.45 - 25.38 = 77.07.</span>
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