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2 years ago

I need help with Standard Deviation!

1 answer:

3 0

<span>A: The middle 95% contain between 23.8 and 24.2 oz.(2 SDs under and over the mean) B: Approximately 68% of boxes have between 23.9 and 24.1 oz of cereal (1 SD under and over the mean) C: 2.5% of boxes contain more than 24.2, because 95% are within 2 SDs, and that includes lower and higher extremes. D: 16% of boxes have more than 24.1, because 68% are within 1 SD of the mean, so 32 are left, and that includes lower and higher extremes.</span>

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This equation has one soulution 5(x-1)+3x=7(x+1) what is the soulution

Aloiza [94]

Answer:

X=6

Step-by-step explanation:

5(x-1)+3x=7(x+1)

5x-5+3x=7x+1

8x-5=7x+1

8x-7x=1+5

X=6

So the answer is X=6

7 0

2 years ago

Which of the following data sets has the mean, median, mode, and range as the same number?

I am Lyosha [343]

Answer:

Step-by-step explanation:

6, 11,14,14,19,20

Adding these 6 numbers we get 84.

84 / 6 = 14 = mean.

Median = middle number(s) = 14

Mode = number occurring most = 14.

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1 year ago

You have 10 marbles in a bag: 3 blue, 2 green, 4 yellow, and 1 purple. If you close your eyes and choose a marble at random, wha

Naily [24]

Answer:

3/10

Step-by-step explanation:there are 10 marbles all together three blue ones

4 0

3 years ago

Read 2 more answers

HELP IM IN A QUIZZ... In a certain game, players earn 10 points for each question answered correctly and -5 points for questions

spayn [35]

Answer:

-10

Step-by-step explanation:

Just set up a simple equation.

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2 years ago

Read 2 more answers

g Use this to find the equation of the tangent line to the parabola y = 2 x 2 − 7 x + 6 at the point ( 4 , 10 ) . The equation o

natali 33 [55]

Answer:

The tangent line to the given curve at the given point is $y=9x-26$ .

Step-by-step explanation:

To find the slope of the tangent line we to compute the derivative of $y=2x^2-7x+6$ and then evaluate it for $x=4$ .

$(y=2x^2-7x+6)'$ Differentiate the equation.

$(y)'=(2x^2-7x+6)'$ Differentiate both sides.

$y'=(2x^2)'-(7x)'+(6)'$ Sum/Difference rule applied: $(f(x)\pmg(x))'=f'(x)\pm g'(x)$

$y'=2(x^2)'-7(x)'+(6)'$ Constant multiple rule applied: $(cf)'=c(f)'$

$y'2(2x)-7(1)+(6)'$ Applied power rule: $(x^n)'=nx^{n-1}$

$y'=4x-7+0$ Simplifying and apply constant rule: $(c)'=0$

$y'=4x-7$ Simplify.

Evaluate y' for x=4:

$y'=4(4)-7$

$y'=16-7$

$y'=9$ is the slope of the tangent line.

Point slope form of a line is:

$y-y_1=m(x-x_1)$

where $m$ is the slope and $(x_1,y_1)$ is a point on the line.

Insert 9 for $m$ and (4,10) for $(x_1,y_1)$ :

$y-10=9(x-4)$

The intended form is $y=mx+b$ which means we are going need to distribute and solve for $y$ .

Distribute:

$y-10=9x-36$

Add 10 on both sides:

$y=9x-26$

The tangent line to the given curve at the given point is $y=9x-26$ .

------------Formal Definition of Derivative----------------

The following limit will give us the derivative of the function $f(x)=2x^2-7x+6$ at $x=4$ (the slope of the tangent line at $x=4$ ):

$\lim_{x \rightarrow 4}\frac{f(x)-f(4)}{x-4}$

$\lim_{x \rightarrow 4}\frac{2x^2-7x+6-10}{x-4}$ We are given f(4)=10.

$\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}$

Let's see if we can factor the top so we can cancel a pair of common factors from top and bottom to get rid of the x-4 on bottom:

$2x^2-7x-4=(x-4)(2x+1)$

Let's check this with FOIL:

First: $x(2x)=2x^2$

Outer: $x(1)=x$

Inner: $(-4)(2x)=-8x$

Last: $-4(1)=-4$

---------------------------------Add!

$2x^2-7x-4$

So the numerator and the denominator do contain a common factor.

This means we have this so far in the simplifying of the above limit:

$\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}$

$\lim_{x \rightarrow 4}\frac{(x-4)(2x+1)}{x-4}$

$\lim_{x \rightarrow 4}(2x+1)$

Now we get to replace x with 4 since we have no division by 0 to worry about:

2(4)+1=8+1=9.

6 0

3 years ago