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3 years ago

9

Select from the drop-down menus to correctly complete the statement. The product of 0.008 and 10,000,000 is ___ because the deci

mal point in 0.008 moves ___ places to the right

1 answer:

ozzi3 years ago

3 0

Answer:

80,000.000

The decimal moves three places to the right

Step-by-step explanation:

10,000,000

0.008

80,000.000

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Renee scores an average of 153 points in a game of bowling, and her points in a game of bowling are normally distributed. Suppos

Lelu [443]

Answer:

$\sigma=\frac{175-153}{2}=11$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent points in a game of bowling of a population, and for this case we know the distribution for X is given by:

$X \sim N(153,unknown)$

Where $\mu=153$ and $\sigma=?$

We know that the value for Renee is X=175 and the z score obteined was Z=2.

Solution to the problem

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{X-\mu}{\sigma}$

We are interested on the value of $\sigma$ and we can solv for it:

$z \sigma = X-\mu$

$\sigma=\frac{X-\mu}{z}$

And replacing the values we have:

$\sigma=\frac{175-153}{2}=11$

5 0

3 years ago

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6+3(13-2)-5 to the second power

Pepsi [2]

6+3(11)-5
6+33-5
(34)^2
1156

(Next time, a calculator would be helpful)

8 0

3 years ago

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Hello...please..............!

Zinaida [17]

I can't see. This is kinda blurry

3 0

3 years ago

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Which of the following is the complete list of roots for the polynomial function f(x)= (x^2-2x-15)(x^2+8x+17)

alexgriva [62]

Answer:

The complete set of roots is 5, -3, –4 + i, –4 – i

Step-by-step explanation:

The given polynomial is

$f(x)=(x^2-2x-15)(x^2+8x+17)$

We equate to zero to get:

$(x^2-2x-15)(x^2+8x+17)=0$

$(x^2-5x+3x-15)(x^2+8x+17)=0$

$(x(x-5)+3(x-5)(x^2+8x+17)=0$

$(x+3)(x-5)(x^2+8x+17)=0$

This implies that:

x+3=0,or x-5=0 or $(x^2+8x+17)=0$

x=-3,or x=5

For $(x^2+8x+17)=0$ , we use the quadratic formula to get;

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

where a=1,b=8,c=17

$x=\frac{-8\pm\sqrt{8^2-4(1)(17)} }{2(1)}$

$x=\frac{-8\pm\sqrt{-4} }{2}$

$x=-4-i$ or $x=-4+i$

The complete solution is 5, -3, –4 + i, –4 – i

5 0

3 years ago

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How do I find slope and Y-intercept?

anyanavicka [17]

Answer:

Slope = -5/1

Y-intercept = (0,-34)

Step-by-step explanation:

y= -5/1x -34

I hope it helps! Have a great day!!

Skye~

7 0

3 years ago

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