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77julia77 [94]
3 years ago
11

You pull a Queen (any of 4 suits) out of 52-card deck. I pull a pair of grey socks from the 12 -pair pack. There are 3 pairs of

grey socks. What event has a smaller chance to happen?
Mathematics
1 answer:
nignag [31]3 years ago
4 0

Answer: The probability of pulling a Queen has a smaller chance of happening.

Step-by-step explanation: In a 52-card deck, you have 4 Queens altogether belonging to each of the four suits. If you pull a card at random out of a complete pack, the probability of picking a Queen would be as follows;

P(Q) = Number of required outcomes/Number of all possible outcomes

P(Q) = 4/52

P(Q) = 1/13

P(Q) = 0.07692 or 7.69%

Also in a 12-pair pack of socks, you have 3 pairs with the color grey. The probability of picking a pair of grey socks at random is given as follows;

P(G) = Number of required outcomes/Number of all possible outcomes

P(G) = 3/12

P(G) = 1/4

P(G) = 0.25 or 25%

Therefore the probability of pulling a Queen has a 7.69% chance of happening and thats a lower chance.

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The cost for the raw materials of marble countertops, can be represented by the function , where is the area of the countertops.
Lady_Fox [76]

Answer:

m(c(a)) = 4.8875a

Step-by-step explanation:

The missing parameters are:

c(a) = 4.25a --- Cost of marble countertops

m(c) = 1.15c --- Cost of retail markup

Required

The cost of marked up price

This implies that we calculate m(c(a))

We have:

c(a) = 4.25a

m(c) = 1.15c

m(c) = 1.15c can be written as:

m(c(a)) = 1.15*c(a)

Substitute: c(a) = 4.25a

m(c(a)) = 1.15*4.25a

m(c(a)) = 4.8875a

Hence, the cost of marked up price is: m(c(a)) = 4.8875a

5 0
2 years ago
A public health department wants to determine the rate that parents of teen boys are choosing to vaccinate their sons for HPV wi
viktelen [127]

Answer:

The correct option is  B

Step-by-step explanation:

From the question we are told that

   The  sample size is  n  =  64

    The  proportion that choose to vaccinate the teen boys is  \r p =  0.12

considering the first statement

The 95% confidence interval is 12% ± the margin of error*standard deviation is  false because

The 95% confidence interval is is  %12 ± the margin of error

considering the second statement

The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem

   np =  64 * 0.12 =  7.68

and this value is  less than 10  hence the confidence interval should not be calculated

considering the third statement

A 99% confidence interval will be smaller than the 90% confidence interval is false

  This is because as the confidence level increase (for example  from 90% to  99%) the margin of error increase which increases the confidence interval  

 

5 0
2 years ago
An arc of length 30 meters is formed by a central angle A on a circle of radius 15. The measure of A in degrees (to two decimal
Iteru [2.4K]
An arc of length 30 m : l = 30 m.
r = 15 m,  ∠ A = ?
Formula for the length of an arc is:
 l = r π A / 180°  ( where A is the central angle )
A = l · 180 / r π = ( 30 · 180 ) / ( 15 · 3.1415926 ) = 114.43 °
This is very close to your result. 
3 0
3 years ago
Read 2 more answers
What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?
zlopas [31]
<h3>given:</h3>

radius= 8 m

<h3>to find:</h3>

the volume of the sphere

<h3>solution:</h3>

v =  \frac{4}{3} \pi {r}^{3}

v =  \frac{4}{3}  \times \pi \times  {8}^{3}

v = 2144.66058 \:  {m}^{3}

v = 2144.7 \:  {m}^{3}

<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>sphere</u><u> </u><u>is</u><u> </u><u>2144.7</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>

6 0
2 years ago
Work out the greatest possible value of 3x-2y with the numbers 5,6,7,8,9,10
Gekata [30.6K]

Answer:

The greatest possible value of 3x - 2y is 20

Step-by-step explanation:

3x - 2y ------- 1

For getting the greatest possible value we must get the greatest value available, which is 10 and put it in place of x .

As 2y is being subtracted in the eq 1, we must put the smallest value available in the eq 1 to get the greatest possible result.

put x = 10 and y = 5 in eq 1

3(10) - 2(5)

= 30 - 10

= 20


Smallest possible value from the eqaution will be obtained by putting y = 10 and x = 5

3 (5) - 2 (10)

= 15 - 20

= -5



4 0
2 years ago
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