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How do i solve this?

timofeeve [1]

(f - g)(x) = f(x) - g(x)

… = (3x² - 4) - (4x + 1)

… = 3x² - 4x - 5

3 0

2 years ago

Find the standard deviation for the set of data. (17,26,28,9,30, 29,6,21,23}

gogolik [260]

Using it's concept, the standard deviation for the given data-set is of 8.22.

<h3>What are the mean and the standard deviation of a data-set?</h3>

The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.

The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.

The mean for this problem is:

M = (17 + 26 + 28 + 9 + 30 + 29 + 6 + 21 + 23)/9 = 21

Hence the standard deviation is:

$S = \sqrt{\frac{(17-21)^2 + (26-21)^2 + (28-21)^2 + \cdots + (21-21)^2 + (23-21)^2}{9}} = 8.22$

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

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7 0

2 years ago

Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year

kifflom [539]

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

$A=P\left(1+\dfrac{r}{n}\right)^{nt}$

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting $P=14000,r=0.10,n=2,t=11$ in the above formula, we get

$A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}$

$A=14000\left(1+0.05\right)^{22}$

$A=14000\left(1.05\right)^{22}$

$A\approx 40953.65$

Therefore, the accumulated value of the given investment is $40953.65.

8 0

2 years ago

Read 2 more answers

Andrew can paint the neighbor's house 6 times as fast as The year and worked together, it took them 5 days. How long would it

Rina8888 [55]

Answer: $\dfrac{35}{6}\ \text{days},\ 35\ \text{days}$

Step-by-step explanation:

Given

Andrew can paint times faster than the other

Suppose the other person take 6x days

So, andrew takes only x days to paint alone

When they work together, it took them 5 days i.e.

$\Rightarrow \dfrac{1}{x}+\dfrac{1}{6x}=\dfrac{1}{5}\\\\\Rightarrow \dfrac{6+1}{6x}=\dfrac{1}{5}\\\\\Rightarrow x=\dfrac{35}{6}\ \text{days}$

So, time taken by the to finish individually is given by

$\Rightarrow \text{Andrew= }\dfrac{35}{6}\ \text{days}\\\\\Rightarrow \text{Other Person}=6\times \dfrac{35}{6}\\\\\Rightarrow \text{Other Person}=35\ \text{days}$

5 0

3 years ago

Pls answer ASAP<br>Lesson: Probability<br>Ty in advance

hammer [34]

The probability can be calculated as given because there are a total of 52 cards.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of card = 52

Number of king of heart = 1

P(getting a king of hearts) = 1/52

P(getting a spade) = 13/52 = 1/4

P (getting a 5 or a club) = (16/52) = 4/13

P(getting a 5 or a 7) = 4/52 + 4/52 = 8/52 = 2/13

P(getting a card which is not a spade) = 1 - 1/4 = 3/4

P(getting 11 of clubs) = 1/52

Thus, the probability can be calculated as given because there are a total of 52 cards.

Learn more about the probability here:

brainly.com/question/11234923

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8 0

2 years ago

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