Solve the quadratic x²-8x+15=0.

Answer:

a) 182 possible ways.

b) 5148 possible ways.

c) 1378 possible ways.

d) 2899 possible ways.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question, we have that:

There are 52 total cards, of which:

13 are spades.

13 are diamonds.

13 are hearts.

13 are clubs.

(a)Two-pairs: Two pairs plus another card of a different value, for example:

2 pairs of 2 from sets os 13.

1 other card, from a set of 26(whichever two cards were not chosen above). So

[tex]T = 2C_{13,2} + C_{26,1} = 2*\frac{13!}{2!11!} + \frac{26!}{1!25!} = 182[/tex]

So 182 possible ways.

(b)Flush: five cards of the same suit but different values, for example:

4 combinations of 5 from a set of 13(can be all spades, all diamonds, and hearts or all clubs). So

[tex]T = 4*C_{13,5} = 4*\frac{13!}{5!8!} = 5148[/tex]

So 5148 possible ways.

(c)Full house: A three of a kind and a pair, for example:

4 combinations of 3 from a set of 13(three of a kind ,c an be all possible kinds).

3 combinations of 2 from a set of 13(the pair, cant be the kind chosen for the trio, so 3 combinations). So

[tex]T = 4*C_{13,3} + 3*C_{13.2} = 4*\frac{13!}{3!10!} + 3*\frac{13!}{2!11!} = 1378[/tex]

So 1378 possible ways.

(d)Four of a kind: Four cards of the same value, for example:

4 combinations of 4 from a set of 13(four of a kind, can be all spades, all diamonds, and hearts or all clubs).

1 from the remaining 39(do not involve the kind chosen above). So

[tex]T = 4*C_{13,4} + C_{39,1} = 4*\frac{13!}{4!9!} + \frac{39!}{1!38!} = 2899[/tex]

So 2899 possible ways.

Answer:

Step-by-step explanation:

It is not a function. (1,1) and (1,-4) are both points on the graph.

your answer would be 180 cubic inches which is option C

Answer:

.........................................................................................................................................................................

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 application on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools. Create and interpret a 95% confidence interval.

Answer and Step-by-step explanation: Th proportion of students that attend private schools in the sample is

[tex]p=\frac{46}{450}[/tex]

p = 0.102

At 95% confidence, z-score is 1.96.

Standard deviation for sample proportion is calculated as

[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]

For this sample, it will be

[tex]\sigma = \sqrt{\frac{0.10(1-0.1)}{450} }[/tex]

[tex]\sigma=\sqrt{0.0002}[/tex]

[tex]\sigma=0.01414[/tex]

Interval is calculated as

p ± zσ

Then

0.102 ± 1.96(0.01414)

0.102 ± 0.028

Interval is 0.074 < p < 0.13

What confidence interval means is that with a certainty of 95%, we are confident that  the true population proportion of students who attend private schools are between 0.074 and 0.13.

Answer:

3y=2y

Step-by-step explanation:

Im not sure if this is the answer your looking for but I hope this helped. I tried tho lol :)

Answer: a

Step-by-step explanation:

Answer:

An x-y axis, also known as a cartesian coordinate system or a coordinate plane, is a two-dimensional plane of points defined uniquely by a pair of coordinates. ... The horizontal line, then, is known as the x axis and measures the distance left or right from the vertical line.

Step-by-step explanation:

Given:

Base area of cone =20 m²

Volume of the cone = 160 m³

To find:

The height of the cone.

Solution:

We know that, the volume of a cone is

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the height of the cone.

Putting V=160 and B=20, we get

[tex]160=\dfrac{1}{3}(20)h[/tex]

[tex]480=20h[/tex]

[tex]\dfrac{480}{20}=h[/tex]

[tex]24=h[/tex]

Therefore, the height of the cone is 24 m.

Answer:

9/25 or .36

Step-by-step explanation:

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x  = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y  = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

Answer:

Step-by-step explanation:

Here are your workings

4.87 x 7.23  simplify

Step 2

(4.87)(7.23)  Add brackets(Optional)

Then you multiply the two exponents to get 35.2101

Your answer would be 35.2101

What phrases describes the expression of 16-y​

Answer: -9

Hope this helps~

Answer:

36

Step-by-step explanation:

36/4 = 9 wish this helps!

Answer:

A, C, and D.

Step-by-step explanation:

The situations that represent linear growth are:

a) Martin's savings account increases because he deposits $25 each week.

d) Mei-Lin earns $9 an hour at her job.

Given are conditions, we need to check which of them shows a linear growth,

Linear growth refers to a constant increase in a variable over time or with respect to another factor.

In both situations (a) and (d), the variables involved change at a constant rate.

In situation (a), Martin's savings account increases by $25 each week. This represents linear growth because the savings account balance is increasing by a fixed amount ($25) on a regular basis (each week).

In situation (d), Mei-Lin earns $9 an hour at her job. This also represents linear growth as the amount Mei-Lin earns increases at a fixed rate ($9) per unit of time (hour).

On the other hand, situations (b) and (c) do not represent linear growth:

In situation (b), Cali's pay increases by 3% per year. This represents exponential growth, not linear growth, because the percentage increase is applied to the current value each year, resulting in a compounding effect.

In situation (c), an athlete getting into shape loses 2 pounds each week. This represents a constant rate of change, but it is not linear growth because the weight loss is decreasing over time.

As the athlete loses weight, the rate of loss may decrease due to factors like metabolism or diminishing returns.

Hence the correct options are a) and d).

Learn more about linear growth, click;

https://brainly.com/question/17143060

#SPJ4

Answer:

$194.54!!

Step-by-step explanation:

Answer:

65.18

Step-by-step explanation:

Complete question :

Which inequality is true if p = 2.8?

3p < 10.2

13.6 ≤ 3.9p

5p > 17.1

8.5 ≥ 2.5p

Answer:

3p < 10.2

8.5 ≥ 2.5p

Step-by-step explanation:

To obtain the true expression, put p = 2.8 in all the options and choose the true inequality expression :

3(2.8) < 10.2

8.4 < 10.2 ( true)

13.6 ≤ 3.9p

13.6 ≤ 3.9(2.8)

13.6 ≤ 10.92 ( False)

5p > 17.1

5(2.8) > 17.1

14 > 17.1 ( False)

8.5 ≥ 2.5p

8.5 ≥ 2.5(2.8)

8.5 ≥ 7 (True)

Answer:

i think A sorry i dont know for suee

Step-by-step explanation:

_x_tens 5 ones=6tens 5 ones

5x=65

x=65/5

x=13

sorry i donot get answer at 15 ones.

Answer:

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]

Step-by-step explanation:

I notice you have a dx at the end of the equation, this leads me to believe this is an integral. With no bounds of integration, I will solve for the indefinite integral. I will also interpret your equation as follows:

[tex]\int \:2+5x+\frac{1}{2}x^3dx[/tex]

Sum rule tells us:

[tex]\int \:2dx+\int \:5xdx+\int \frac{1}{2}x^3dx[/tex]

From this we get:

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}[/tex]

Don't forget to add the constant!

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]

Answer:

A)Josh

B)Mila

C) Amir

Answer:

Sales tax:20%

Amount of tax:$60

Answer:

Your answer is 2.5

Hope that this is helpful. Vote and like it

Answer:

7.5

You know, you can just use a calculator.

Answer:

the sum of the numbers on Ella's five cards is -5

Step-by-step explanation:

Answer:

A) (0,2)

Step-by-step explanation:

The Y-Intercept is where the line on the coordinate plane meets the y axis which in this case is 2

Answer:

A. (0, 2)

Step-by-step explanation:

So first things first, you will want to either put the line on a graph by hand or, in a graphing calculator, I recommend DESMOS

the table is a set of coordinates so

(-4, -18) (-2.5, -10.5) (-.4, 0) (0, 2) (2, 12)

Then you'll put these coordinates into a graph and the point you see touching the y-line is your answer, (0, 2)

hope this helps!!