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alukav5142 [94]

3 years ago

13

Use synthetic division to divide 3x*3-5x+10. By. X-1

1 answer:

Degger [83]3 years ago

8 0

Answer:

3x^2+3x-2+8/x-1

Step-by-step explanation:

Remainder: 8

Step 1 : Turn the x-1 to a positive 1.

Step 2: Write all the values

Step 3: Bring down the first value and multiply it bt 1

Step 4 : Subtract the next value from the previous answer.

Step 5 : Repeat till the last value.

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The amount of money spent on textbooks per year for students is approximately normal.

Ostrovityanka [42]

Answer:a

a

$336.04 < \mu < 443.96$

b

The margin of error will increase

c

The margin of error will decreases

d

The 99% confidence interval is $0.4107 < p < 0.4293$

Step-by-step explanation:

From the question we are told that

The sample size $n = 19$

The sample mean is $\= x = \$\ 390$

The standard deviation is $\sigma = \$ \ 120$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

So

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.96 * \frac{120}{\sqrt{19} }$

=> $E = 53.96$

The 95% confidence interval is

$\= x - E < \mu < \= x + E$

=> $390 - 53.96 < \mu < 390 - 53.96$

=> $336.04 < \mu < 443.96$

When the confidence level increases the $Z_{\frac{\alpha }{2} }$ also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

$n \ \ \alpha \ \ \frac{1}{E^2 }$

So if the sample size increases the margin of error decrease

The sample proportion is mathematically represented as

$\r p = \frac{210}{500}$

$\r p = 0.42$

Given that the confidence level is 0.99 the level of significance is $\alpha = 0.01$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }* \sqrt{ \frac{\r p (1- \r p )}{n} }$

=> $E = 0.42 * \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }$

=> $E = 0.0093$

The 99% confidence interval is

$\r p - E < p < \r p + E$

$0.42 - 0.0093 < p < 0.42 + 0.0093$

$0.4107 < p < 0.4293$

4 0

3 years ago

{(-2, 6), (2, 0), (3, 6), (4, -1), 5, 3)}<br> Dom:<br> Range:<br> Function?

kozerog [31]

Answer:

Domain = {-2, 2, 3, 4, 5}

Range= {6, 0, 6, -1, 3)

It is a function

Step-by-step explanation:

It is a function because there is only one y value for each x value

4 0

3 years ago

michael has a very large soup pot shape like a cylinder that has height of 15 inches and a radius of 6 inches

belka [17]

Answer:

1695.6 in³

Step-by-step explanation:

<em>Cylinder volume formula: V= πr²h</em>

<u>Given</u>

h = 15 in
r = 6 in

<u>Volume of soup pod</u>

V = 3.14*6²*15 = 1695.6 in³

8 0

3 years ago

Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2

Molodets [167]

Answer:

6 is your answer :)

6 0

3 years ago

What is the solution to the equation?

Oxana [17]

ANSWER

(C) d=1

EXPLANATION

The given equation is

$\frac{ - 3d}{ {d}^{2} - 2d - 8} + \frac{3}{d - 4} = \frac{ - 2}{d + 2}$

Factor the first fraction to get,

$\frac{ - 3d}{(d + 2)(d - 4)} + \frac{3}{d - 4} = \frac{ - 2}{d + 2}$

Multiply through by (d+2)(d-4)

$- 3d + 3(d + 2) = - 2(d - 4)$

Expand:

$- 3d + 3d + 6 = - 2d + 8$

$6 = - 2d + 8$

$6 - 8= - 2d$

$- 2 = - 2d$

divide both sides by -2

$d = 1$

7 0

3 years ago

Read 2 more answers