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aleksandrvk [35]
3 years ago
8

Out of a 52 deck of cards what's the probability that you pull a card above a jack

Mathematics
1 answer:
bazaltina [42]3 years ago
7 0

Answer: 3/13

Step-by-step explanation:

There are 12 cards above the jack in a deck of 52 cards

Probability = 12/52 = 3/13

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Solve for y, 2y=-4x-14
BabaBlast [244]

Hello from MrBillDoesMath!

Answer:    y = 2x - 7

Discussion:

Divide both sides of the equation by 2:

2y /2  = (4x-14)/2 = 4x/2 -14/2

or


y = 2x - 7

Thank you,

MrB

7 0
3 years ago
What is the equation of a line in slope intercept form that passes through the points (-4,3) and (-2,4)
Aleks [24]

Answer:

y=1/2x+5

Step-by-step explanation:

y-y/x-x for slope

4-3/-2-(-4) 1/2

7 0
3 years ago
Read 2 more answers
1. Draw a diagram to show how many 3/4 foot pieces of string can be cut from a piece of 4 1/2 feet long string.(How many times d
Blizzard [7]
1. 6
2. 6/60=1/10
3. 12
4. 24/2=12
5. 6/4=3/2= 1 1/2
6. 1
7. 7.5= 7 whole servings
7 0
3 years ago
A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis
VMariaS [17]

Answer:

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=320128 represent the sample mean

\mu population mean (variable of interest)

\sigma=50324 represent the population standard deviation

n=529 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

8 0
3 years ago
PLEASE HURRYY I AM BEGGING FOR HELP IVE BEEN STUCK FOR AN HOUR
saul85 [17]

Part A:

Look at the image attached to my answer for the graph of the inequalities.

There are two different lines provided, one with a more negative slope than the other. The shaded area between them represents the solution set.

The green line is 2x+y≤8, the blue line is x+y≥4

Part B:

To test if (8, 10) is included, substitute x = 8 and y = 10 into both inequalities. If it doesn't satisfy one of them, then it isn't included in the solution area.

2(8) + 10 ≤ 8

16 + 10 ≤ 8

26 ≤ 8... 26 is NOT less then or equal to 8

Thus, (8, 10) cannot be a solution since the inequality is not true.

Part C:

I'm going to choose a random point from the graph, (2, 3). For your answer, any point in the shaded region where both x and y is positive will work.

The point (2, 3) means that Sarah can buy 2 cupcakes and 3 pieces of fudge to get at least 4 pastries for her siblings while staying within her 8 dollar budget.

Let me know if you need any clarifications. Happy Studying~

3 0
3 years ago
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