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2 years ago

which of the following choices is the standard deviation of the sample shown below here 17,18,19,20,21

1 answer:

4 0

Where are "the following choices?" Please don't overlook sharing this info with possible helpers. Thank you.

This kind of assignment can be one on a calculator; I typed in stdDev(17,18,19,20,21) an got std dev= 1.58.

working backward, the variance is the square of that: 2.5.

To find the variance: Find the mean of the given set of numbers. It is

17+18+19+20+21 95
------------------------- = ----- = 19
5 5

and then calculate the deviations of all 5 numbers from the mean:

17-19=-2
18-19= -1
19-19=0
20-19 = 1
21-19=2

Then sum up the squares of these: 4+1+0+1+4 = 10
Finally, divide this result by 5-1 (one less than the # of data points):

10
------- = 2.50 (variance)
(5-1)

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What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? 0 5 10 15

Elanso [62]

Answer: Second option is correct.

Explanation:

Since we have given that

$f(x)=3x^4+2x^3-x^2+2x-19$

And $g(x)=x+2$

To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

$x+2=0\\\\x=-2$

So, we will find f(-2) which will give us the required remainder,

$f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5$

Hence, Second option is correct.

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2 years ago

I need help with this !!

Zanzabum

Answer:

the twins will always have the same age

Step-by-step explanation:

the equation for jasmine's age is 2(3x+6), while the equation for james's age is 3(2x+4)

2(3x+6) = 2*3x + 2*6 = 6x + 12

3(2x+4) = 3*2x + 3*4 = 6x + 12

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2 years ago

Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets solo

Xelga [282]

Answer:

I do not see all the graphs but it would be the reverse of what is shown for A. graph. The tickets sold to total income would have to be a 1:4 ratio where every 4 dollar leap in the y-axis is a one point (1 unit change in x).

Step-by-step explanation:

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2 years ago

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vlada-n [284]

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2 years ago

Read 2 more answers

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the

Savatey [412]

Answer:

(A) The reasonable domain to plot the growth function is (0 ≤ n < 5).

(B) The y-intercept of the function is 10 cm. It represents the height of the plant at the beginning of the experiment.

Step-by-step explanation:

The equation representing the height of the plant is:

$f (n)=10\cdot (1.02)^{n}$

(A)

It is provided that at the end of the study the height of the plant was approximately 11.04 cm.

Compute the range of values of n as follows:

$f (n)=10\cdot (1.02)^{n}\\11.04 = 10\cdot(1.02)^{n}\\1.104 = 1.02^{n}\\\ln (1.104) = \ln (1.02^{n})\\\ln (1.104) = n \ln (1.02)\\\\n = \frac{\ln (1.104)}{ \ln (1.02)}\\\\n = 4.99630409516\\n\approx 5$

Thus, the reasonable domain to plot the growth function is (0 ≤ n < 5).

(B)

The y-intercept, in this case would represents the height of the plant when they began the experiment.

That is, the y-intercept of the function is the value of f (n) for n = 0.

Compute the value of f (n = 0) as follows:

$f (0)=10\cdot (1.02)^{0}=10$

Thus, the y-intercept of the function is 10 cm. It represents the height of the plant at the beginning of the experiment.

(C)

Compute the values of f (n = 1) and f (n = 5) as follows:

$f (1)=10\cdot (1.02)^{1}=10.2\\\\f (5)=10\cdot (1.02)^{5}=11.0408\approx 11.04$

Compute the average rate of change as follows:

$\text{Average rate of change}=\frac{f(n_{2})-f(n_{1})}{n_{2}-n_{1}}$

$=\frac{11.04-10.20}{5-1}\\\\=\frac{0.84}{4}\\\\=0.21$

Thus, the average rate of change of the function f(n) from n = 1 to n = 5 is 0.21.

The average rate of change is known as the slope of the function. The slope represents how much the plant is growing every day.

Thus, the slope of 0.21 implies that the plant is growing 0.21 cm every day.

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