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TEA [102]
3 years ago
11

Your sock drawer in all mixed up! You

Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0

Step-by-step explanation:

There are 21 socks in total. Only 7 of them are white.

When you pick your 1st sock, you have a 7/21 chance to get white.

When you pick your 2nd sock, you have a 6/21 chance to get another white, since you already picked a white.

So the probability to get a pair of white socks is 2/21.

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Jose's gas tank is 1/5 full. After he buys 9 gallons of gas, it is 7/10 full. How many gallons can Jose's tank hold?
Anika [276]

Answer:

  • 18 gallons

Step-by-step explanation:

<u>Let the capacity of tank is x</u>

  • 1/5x + 9 = 7/10x
  • 2/10x + 9 = 7/10x
  • 5/10x = 9
  • 1/2x = 9
  • x = 18 gallons
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B2%7D%7B15y%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B5y%20%7B%7D%5E%7B3%7D%20%7D" id="
Xelga [282]

Answer:

2y²   +   9

---------------

      15y³

Step-by-step explanation:

Start by identifying the LCD, and then change each fraction so that its denominator is the LCD.

Here the LCD is 15y³, which is evenly divisible by 15y and 5y³.

Focus now on the first fraction:  2 / (15y).  Multiplying numerator and denominator of this fraction by y² results in

y²·2          2y²

--------- → ----------

y²·15y       15y³           ←This is the correct LCD

Multiplying numerator and denominator of the second fraction by 3 results in:

   3·3            9

------------ → ---------

 3·5y³         15y³          ←This is the correct LCD

So now those two original terms look like:

 2y²         9

--------- + --------

 15y³       15y³

and this can be written in simpler form as:

2y²   +   9

---------------

      15y³

3 0
3 years ago
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe
podryga [215]

Answer:

The value  is  n = 384

The correct option is a

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =  0.05

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of   is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally since the sample proportion is not given we will assume it to be

      \^ p = 0.5

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)

=>   n = 384

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

Generally if the level of confidence increases,  the critical value of  \frac{\alpha }{2}  increase and from the equation for margin of error we see the the critical  value varies directly with the margin of error , hence the margin of error  will increase also  

So  If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

8 0
3 years ago
How is the graph of Y=√X) -5 translated from the graph of √X ?
Tom [10]
Shifted 5 units to the left.
8 0
3 years ago
A plane intersects this rectangular prism perpendicular to the prism’s base.
Alexandra [31]
A rectangle, presumably, as the cross section is going to be whatever shape the outward faces are (in the case of a vertical cross section like this one)
4 0
3 years ago
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