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2 years ago

A drawer contains 5 white shirts, 3 yellow shirts, and 4 black shirts. a shirt is randomly selected from the drawer and set asid

e. then another shirt is randomly selected from the drawer. what is the probability that the first shirt is yellow and the second shirt is black?

Mathematics

1 answer:

KatRina [158]2 years ago

4 0

$|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%$

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The area of a rectangular parking lot is represented by A = 6x^2 − 19x − 7 If x represents 15 m, what are the length and width o

Mekhanik [1.2K]

Answer:

The length and width of the parking lot are $\frac{46}{3}$ meters and $\frac{23}{2}$ meters, respectively.

Step-by-step explanation:

The surface formula ( $A$ ) for the rectangular parking lot is represented by:

$A = w\cdot l$

Where:

$w$ - Width of the rectangle, measured in meters.

$l$ - Length of the rectangle, measured in meters.

Since, surface formula is a second-order polynomial, in which each binomial is associated with width and length. If $A = 6\cdot x^{2}-19\cdot x -7$ , the factorized form is:

$A = \left(x-\frac{7}{2}\,m \right)\cdot \left(x+\frac{1}{3}\,m \right)$

Now, let consider that $w = \left(x-\frac{7}{2}\,m \right)$ and $l = \left(x+\frac{1}{3}\,m \right)$ , if $x = 15\,m$ , the length and width of the parking lot are, respectively:

$w =\left(15\,m-\frac{7}{2}\,m \right)$

$w = \frac{23}{2}\,m$

$l =\left(15\,m+\frac{1}{3}\,m \right)$

$l = \frac{46}{3}\,m$

The length and width of the parking lot are $\frac{46}{3}$ meters and $\frac{23}{2}$ meters, respectively.

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3 years ago

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 1 of 2: Su

AVprozaik [17]

Answer:

0.249 is the required proportion.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 822

Number of people who preferred foreign cars over domestic, x = 205

We have to find the proportion of new car buyers who prefer foreign cars.

Formula:

$\hat{p} = \dfrac{x}{n}$

Putting values, we get,

$\hat{p} = \dfrac{205}{822}\\\\\hat{p} = 0.249$

Thus, 0.249 is the proportion of the new car buyers who preferred foreign over domestic cars..

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3 years ago

Plz help! I will mark you brainliest!

s2008m [1.1K]

Answer:

A. 80

Step-by-step explanation:

No math necessary. You know the brace needs to be longer than the distance between posts, so cannot be 4, 15, or 42 inches. The only answer choice longer than 64 inches is the correct one:

80 inches

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