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2 years ago

PLEASE HELP ME ASAP!!

Mathematics

2 answers:

Anni [7]2 years ago

8 0

Answer:

nine less than the product of five and seven

9966 [12]2 years ago

5 0

Nine less than the product of five and seven

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Suppose that f(x) and g(x) are given by the power series:

lukranit [14]

Answer:

c0 = 8
c1 = 24
c2 = 30
c3 = 42

Step-by-step explanation:

It is convenient to notice that the pattern of coefficients that need to be multiplied and summed is a pattern of Xs.

For the constant, c0, only the constants need to be multiplied.

c0 = 4·2 = 8

For the x-term coefficient, the constant of one series needs to be multiplied by the x-term of the other, and the two products added.

c1 = 4·5 +2·2

c1 = 24

If you draw real or imagined lines between the coefficients being multiplied, you see that they form an X.

For the x²-term coefficient, the above X gets wider, and a vertical | is added. That is constant multiplies x² term and x-term multiplies x-term. The sum has three terms:

c2 = 4·3 +2·4 +2·5

c2 = 30

For the x³ term, there are now two Xs, one wide and one narrower. Constant terms multiply x³ terms and x-terms multiply x² terms.

c3 = 4·3 +2·2 +2·3 +5·4

c3 = 42

_____

This sort of pattern of Xs can be used wherever polynomials (or multidigit numbers) are multiplied. It can help you ensure that all of the products that need to be included in a sum are accounted for.

6 0

3 years ago

What property is illustrated by 6 x 5 = 5 x 6?

Alisiya [41]

This is the commutative prorerty of the multiplication

5 0

3 years ago

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

Ostrovityanka [42]

Answer:a

$336.04 < \mu < 443.96$

The margin of error will increase

The margin of error will decreases

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

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

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

4 years ago

Please help me I will give you the briain thing and extra points. (image below) 7/13

Vitek1552 [10]

Answer:

it is B because the numbers are repeating on the y axis

7 0

3 years ago

Which pair of figures has the same number of faces as vertices?

Sophie [7]

Every Pyramid has the same number of faces as vertices, you can see it is only option C where both options are pyramid. so, it is correct

In short, Your Answer would be Option C

Hope this helps!

5 0

3 years ago

Read 2 more answers