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2 years ago

You are dealt one card from a standart 52-card deck. Find the probability of being dealt a six.

Mathematics

2 answers:

makkiz [27]2 years ago

5 0

Answer: 1 in 13

Step-by-step explanation:

Yes

ohaa [14]2 years ago

5 0

Answer:

1/13 or 7.7%

Step-by-step explanation:

There are 4 sixes in a deck of cards. (6 of clubs, 6 of hearts, 6 of spades, and 6 of diamonds)

So you have 4 possible cards out of the total 52 to be dealt a 6.

4/52 = 1/13

You might be interested in

What is the answer to -3(1+6r)=14-r

Ilia_Sergeevich [38]

<span>-3(1+6r)=14-r
-3 - 18r = 14 - r ...expand by using distributive property
-3 -17r = 14 ...add (r) to both sides
-17r = 17 ...add (3) to both sides
r = -1 ....divide both sides by (-17)</span>

5 0

2 years ago

Read 2 more answers

9. Your mathematics instructor claims that, over the years, 88% of his students have said that math is their favorite class. In

Tatiana [17]

Answer:

Step-by-step explanation:

For the null hypothesis,

H0: p = 88

For the alternative hypothesis,

Ha: p < 88

Considering the population proportion, probability of success, p = 0.88

q = probability of failure = 1 - p

q = 1 - 0.88 = 0.12

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 21

n = number of samples = 32

P = 21/32 = 0.66

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.66 - 0.88)/√(0.88 × 0.12)/32 = - 3.83

The corresponding p value would be determined by looking at the normal distribution table for the area below the z score. Therefore,

P value = 0.00006

8 0

3 years ago

A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line?

harina [27]

To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.

SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.

To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.

To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.

Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.

Using the graph, we can see the equation for this line is y=1/2x+1.5.

8 0

2 years ago

What is the next number in the series 4 12 6 9 8 6

NNADVOKAT [17]

4,6,8 are being counted by twos so the next one is 10
4•3= 12, 6+3=9, 8-3=6, the next operation I assume would be division so 10/3= 3.34

8 0

2 years ago

Read 2 more answers

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

5 0

2 years ago