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mario62 [17]
3 years ago
15

There is a few questions but im stuck on this one. please help

Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

Calculating percentages are important as they apply to real life activities. For example, shopping. If you are on a budget and you want to know how much your total is with tax, you can convert the decimal for the tax, turn it into a percent and add it to your total. Another example is eating at a restaurant. A good tip is 15-20% so you can calculate this and add it to your price.

Step-by-step explanation:

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Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com
aliina [53]

Answer:

The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

g(x) = 7 + 0.x + 1.x²

h(x) = 7 - 1.x + 1.x²

Now,

The coefficient matrix becomes

A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

           = 7(1) - 1(0)

           = 7 - 0 = 7

⇒Det(A) = 7 ≠ 0

As the determinant is non- zero ,

So, The set of polynomial  is Linearly Independent.

5 0
2 years ago
Find the volume of the sphere .
mars1129 [50]

Answer:

1436.8cm³

Step-by-step explanation:

Formula :

\frac{4}{3}  \times \pi \times r ^{3}

\frac{4}{3}  \times \pi \times 7^{3}

=1436.75504cm³

to 1dp

=1436.8cm³

8 0
3 years ago
Stephan added 26 new contacts to his phone list. He had to delete 16 old contacts before he could add any more. Stefan now has a
bezimeni [28]

Answer: 26-16= c

c=10

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
If the inspection division of a county weights and measures department wants to estimate the mean amount of
Amanda [17]

If inspection department wants to estimate the mean amount with 95% confidence level with standard deviation 0.05 then it needed a sample size of 97.

Given 95% confidence level, standard deviation=0.05.

We know that margin of error is the range of values below and above the sample statistic in a confidence interval.

We assume that the values follow normal distribution. Normal distribution is a probability that is symmetric about the mean showing the data  near the mean are more frequent in occurence than data far from mean.

We know that margin of error for a confidence interval is given by:

Me=z/2* ST/\sqrt{N}

α=1-0.95=0.05

α/2=0.025

z with α/2=1.96 (using normal distribution table)

Solving for n using formula of margin of error.

n=(z/2ST/Me)^{2}

n=(1.96*0.05)^{2} /(0.01)^{2}

=96.4

By rounding off we will get 97.

Hence the sample size required will be 97.

Learn more about standard deviation at brainly.com/question/475676

#SPJ4

The given question is incomplete and the full question is as under:

If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2 liters bottles to within (0.01 liter with 95% confidence and also assumes that standard deviation is 0.05 liter. What is the sample size needed?

7 0
2 years ago
Last year Mr. Ingles total income was 52000+ total expenses were 53800 use expression I-E/12 where I represents total income in
Olegator [25]

Answer:

-$150

Step-by-step explanation:

Given:

(I - E) / 12

Where,

I = total income

E = total expenses

I = $52,000

E = $53,800

(I - E) / 12

= (52,000 - 53,800) / 12

= -1,800 / 12

= -150

-$150 shows that Mr. Engle's total expenses exceeds his total income per month with an average of $150

8 0
3 years ago
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