What is the factored form of the following polynomial? 8x^2 + 12x

Hal and Renee play the following game a bag has 11 tiles in it each with a letter from the word probably in it Hal and Renee tak

Masteriza [31]

Answer:

D. The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter

Explanation:

The word is not probably, which has 8 letters, but probability, which has 11 letters

1. Hal

Probability of drawing a vowel

The vowels are: o, a, i, i, and y: 5

The total number of letters in the bag is 11.

Probability of vowel = 5 / 11

2. Renee

Probability of drawing a consonant

The consonants are: p, r, b, b, l, t, and y: 7

Probability of a drawing a consonant: 7 /11

<h2>Conclusion</h2>

As you see, the probability of drawing a vowel (5/11), which is the winning letter for Hal, is less than the probability of drawing a consonant (7/11), which is the winning letter of Renee. Then,

The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter.

8 0

3 years ago

I lowkey need help on number five like I don’t get it . Am I doing something wrong cause I feel like I am ? And which equation w

Tpy6a [65]

43,802 round to tha nearest thounsand

5 0

2 years ago

Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From

maksim [4K]

Answer:

The 95% CI for the difference of means is:

$-155.45 \leq \mu_1-\mu_2 \leq -44.55$

Step-by-step explanation:

The question is incomplete:

"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size: 4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

$M_d=M_1-M_2=200-300=-100$

The standard deviation can be estimated as:

$\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45$

The degrees of freedom are:

$df=n_1+n_2-2=10+4-2=12$

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

$M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55$

8 0

3 years ago

How to find area of parallelogram with coordinates of verticles?

ExtremeBDS [4]

You find a parallelogram area by this formula:
$A=b\cdot h$
Where b is its base and h, its height.
You get b's value applying distance between two points formula.
If A and B points form the base:
$A(x_1,y_1)\;\;\;\;B(x_2,y_2) \\ \\ 
d_{AB}= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} =b$

And h is the perpendicular distance between both bases.
You can visit next link to know further about it:
https://www.ck12.org/geometry/Distance-Between-Parallel-Lines/lesson/Distance-Between-Parallel-Lines
-GEOM/

And in attached picture you can find an example in progress you may want to finish.

5 0

3 years ago

You charge $5.50 an hour for babysitting. At the end of the week you earn $82.50. How many hours did you work this week?

lana [24]

Answer:

15 hours.

Step-by-step explanation:

3 0

3 years ago