Please help i need the answer im horrible at these

An experiment consists of dealing 7 cards from a standard deck of 52 playing cards. What is the probability of being dealt exact

In-s [12.5K]

Answer: 0.00153

Step-by-step explanation:

Given: An experiment consists of dealing 7 cards from a standard deck of 52 playing cards.

Number of ways of dealing 7 cards from 52 cards = $^{52}C_7$

Since there are 13 clubs and 13 spades.

Number of ways of getting exactly 4 clubs and 3 spades= $^{13}C_4\times\ ^{13}C_3$

Now, the probability of being dealt exactly 4 clubs and 3 spades

$=\dfrac{^{13}C_4\times\ ^{13}C_3}{^{52}C_7}\\\\\\=\dfrac{{\dfrac{13!}{4!(9!)}\times\dfrac{13!}{3!10!}}}{\dfrac{52!}{7!45!}}\\\\=\dfrac{715\times286}{133784560}\\\\=0.00152850224271\approx0.00153$

Hence, the probability of being dealt exactly 4 clubs and 3 spades = 0.00153

6 0

3 years ago

In order to test for the significance of a regression model involving 4 independent variables and 47 observations, the numerator

Karolina [17]

Answer:

c. 4 and 42

Step-by-step explanation:

Given

$p = 4$ -- independent variables

$n = 47$ ---- observations

Required

The numerator and denominator degrees of freedom

The denominator degrees of freedom is:

$df =n - p - 1$

$df =47 - 4 - 1$

$df =42$

For the numerator, we have:

$df = p$

$df = 4$

8 0

3 years ago

15 points and brainliest!! please help !!

Arte-miy333 [17]

This will be solved by solving for x first. Firstly you multiply the top equation by 2 and the bottom by -3. This will change both equation to (top)-10x+6y=-54 and (bottom) 27x-6y=-57. Now when you add the factors the y-values cancel out leaving you with; 17x=-3. now you have to divide by 17 on both sides giving you x=-0.17647058823 (not the prettiest solution but you can round if you want to). After that pick an equation to solve for y (I'm picking the top); the equation will be 5(-0.17647058823)+3y=-27. multiply the negative decimal and 5 to get -0.88235294117 (again not the prettiest). Add that to both sides which will give you 3y=-26.1176470588. After this divide both sides by 3 which will give you y=-8.70588235294. Your answer is (-0.17647058823,-8.70588235294) You can divide to the second or third decimal if needed-----remember that as you round from left to right on a decimal if it's below five you leave it and if it's above 5 then round up 1. I hope this help :)

3 0

3 years ago

The graph of a line and an exponential can intersect twice, once or not at all. Describe the possible number of intersections fo

Katyanochek1 [597]

Answer:

c) parabola and circle: 0, 1, 2, 3, 4 times

d) parabola and hyperbola: 1, 2, 3 times

Step-by-step explanation:

c. A parabola can miss a circle, be tangent to it in 1 or 2 places, intersect it 2 places and be tangent at a 3rd, or intersect in 4 places.

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d. A parabola must intersect a hyperbola in at least one place, but cannot intersect in more than 3 places. If the parabola is tangent to the hyperbola, the number of intersections will be 2.

If the parabola or the hyperbola are "off-axis", then the number of intersections may be 0 or 4 as well. Those cases seem to be excluded in this problem statement.