in which set are all of the numbers solutions to the inequality x < -3?

Answer:

Solution given:

5,6,7,8,9,

When repeated:

it has

5 ways for each

different five digit members can be formed from the digits:5*5*5*5*5=3125

When not repeated:

it has

5 ways for 1st

4 ways for 2nd

3 ways for 3rd

2 ways for 4th

1 ways for 5th

different five digit members can be formed from the digits:5*4*3*2*1=120

Answers:

Note: The answer to problem 7 is a single value. The comma is there to make the number more readable.

========================================================

Explanation for problem 7)

There are 26 red cards (13 diamonds + 13 hearts).

We have 26 ways to pick the first red card, and then 25 ways to pick the second red card. If order mattered, then we'd have 26*25 = 650 ways to do this. However, order doesn't matter. All that matters is the hand itself rather than the individual cards. By "hand" I mean the collection of cards, and not the literal physical hand holding them.

Since the count 650 is a double count, this means 650/2 = 325 is the correct count where order doesn't matter. The black cards will follow identical logic to get the same value. There are 325 ways to pick the two black cards. This is because there are an equal number of red and black cards, and we're selecting an equal number of both colors.

So we have 325*325 =  105,625 different hands possible.

To help show some context, there are 52C4 = 270,725 different ways to pick four cards without any restrictions. I'm using the nCr combination formula.

----------------------

Explanation for problem 8)

The face cards are Jack, Queen, King. There are 3 face cards per suit and 4 suits total, so 3*4 = 12 face cards in all.

We have 12*11*10 = 1320 permutations and 1320/(3!) = 1320/6 = 220 combinations. We side with combinations because like before, order doesn't matter. There are 220 different ways to pick the three face cards. Then we have 52-12 = 40 ways to pick the fourth non-face card.

Overall, we have 220*40 = 8800 different ways to pick exactly three face cards.

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Explanation for problem 9)

There are 13 diamond cards, so n = 13. We're filling r = 4 slots.

Use the nCr combination formula to find that 13C4 = 715

See the attached image below for more detailed steps.

We have 715 ways to pick all diamonds.

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Explanation for problem 10)

We'll build from problem 9. We found there are 715 ways to pick four diamonds. This is the same number of ways to pick four hearts, or four clubs, or four spades. The actual suit doesn't matter. So we have 4*715 = 2860 different ways to pick 4 cards of the same suit

In poker, having all cards of the same suit is known as a flush. Though with poker, it involves 5 cards instead of 4.

Answer:

4/10 8/20 16/40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Right side =

sin A / cos A + sinB/ cosB         (sinAcosB + sinB cos A ) *   cosA cosB

-------------------------------------    =          cosA cosB                (sinAcosB - snBcosA )        sinA/cosA -  sinB/cos B

= Left side.

The trigonometry identity [tex]\frac{sin(A+B)}{sin(A-B)}[/tex] is equals to [tex]\frac{tan(A)+tan(B)}{tan(A)-tan(B)}[/tex].

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

According to the given question.

We have a trigonometric identity.

[tex]\frac{sin(A+B)}{sin(A-B)} =\frac{tan(A)+tan(B)}{tan(A)-tan(B)}[/tex]

To prove the above  trigonometric identity we will show L.H.S = R.H.S

[tex]L.H.S=\frac{sin(A+B)}{sin(A-B)}[/tex]

⇒ [tex]L.H.S = \frac{cosBsinA-sinBcosA}{sinAcosB-cosAsinB}[/tex]

⇒ [tex]L.H.S = \frac{\frac{sinAcosB}{cosAcosB} + \frac{sinBsinA}{cosBcosA} }{\frac{sinAcosB}{cosAcosB}-\frac{cosAsinB}{cosAcosB} }[/tex]     (dividing the numerator and denominator by [tex]cosAcosB[/tex] )

⇒ [tex]L.H.S = \frac{\frac{sinA}{cosA} +\frac{sinB}{cosB} }{\frac{sinA}{cosA}-\frac{sinB}{cosB} }[/tex]

⇒ [tex]L.H.S = \frac{tanA+tanB}{tanA- tanB}= R.H.S[/tex]

Hence, L.H.S = R.H.S

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Answer:

3 is the right one

Step-by-step explanation:

Simple math you know

Answer:

20 mph

Step-by-step explanation:

Varies inversely

ts = k

------------------------------

It takes Danielle 24 minutes to get to work when he drives at an average speed of 30 mph

24(30) = 720

------------------------

What is Danielle's average speed if he gets to work in 36 minutes.

36s = 720

s = 720/36

s = 20

20 mph

Answer:

268 m²

Step-by-step explanation:

8x26=208

3x10x2=60

208+60=268

Answer:

C. 8/25 - 19/25i

Step-by-step explanation:

Given that:

[tex]\dfrac{4-i}{3+4i}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)} \\ \\ =\dfrac{12 -16i -3i+4i^2}{9 - 12i +12i -16i^2} \\ \\ = \dfrac{12-19i+4i^2}{9-16i^2} \\ \\ = \dfrac{8-19i}{25}[/tex]

[tex]=\dfrac{8}{25}- \dfrac{19i}{25}[/tex]

Answer:

0.0416

Step-by-step explanation:

Given :

Number of balls :

Pink = 8 ; black = 9

Total number of balls = 8+9 = 17

Choosing with replacement :

Probability = required outcome / Total possible outcomes

Required outcome = number of black balls

Total possible outcomes = total number of balls

P(black) = 9/17

Number of picks = 5

Hence, Probability that all 5 picks are black :

P(all black) = 9/17 * 9/17 * 9/17 * 9/17 * 9/17 = 0.0415879

= 0.0416

Answer:

C

Step-by-step explanation:

C= 2* pi*r = 2* pi* 5 ≈ 31.4 cm

Answer:

The vertex of the parabola is [tex]V(x,y) = (0, 3)[/tex].

Step-by-step explanation:

In this case, the vertex of the parabola is the absolute maximum of the graph, that is, the point [tex]V(x,y) = (0, 3)[/tex].  Mathematically speaking, the vertex of the parabola is represents the only point of the range ([tex]y[/tex]) which is related to an only value of the domain ([tex]x[/tex]).

Answer:

Step-by-step explanation:

take 64 degree as reference angle

using cos rule

cos 64=adjacent/hypotemuse

0.43=QR/10

10*0.43=QR

4.3=QR

Step-by-step explanation:

By question , it's given that the X intercept is (5,0) and the y intercept is (0,8) . And we need to find the y-intercept of the graph of f(x) + 3 . For that , firstly let's find out the equation of the line.

[tex]\sf\implies y- y_1 = \bigg(\dfrac{y_2-y_1}{x_2-x_1}\bigg) ( x - x_1) \\\\\sf\implies y - 0 = \bigg(\dfrac{0-8}{5-0}\bigg)( x - 5 ) \\\\\sf\implies y = \dfrac{-8}{5}( x - 5 ) \\\\\sf\implies 5y = -8x +40 \\\\\sf\implies 8x + 5y - 40 = 0 [/tex]

Let us say that this is f(x) :-

[tex]\\\\\sf\implies f(x) = 8x + 5y - 40 \\\\\sf\implies \boxed{\sf\red{ f(x)+3 = 8x +5y -37 }}[/tex]

Plot its graph :-

We can either convert it into intercept form but plotting a graph can also be done to find y intercept .

[tex]\implies \boxed{\pink{\sf y - intercept = 7.4}}[/tex]

Refer to attachment for graph .

Hence the y Intercept is 7.4 .

Answer:

37.7

Step-by-step explanation:

Circumference = [tex]2\pi r[/tex]

Circumference = [tex](2)(\pi )(6)[/tex]

Circumference = 37.69911184 / 37.7

Therefore, circumference of the circle with the radius 6 cm is 37.7.

Answer:

37.7

Step-by-step explanation:

formula for circumference of a circle=2πr

2×π×6=37.7cm

Answer: 9 cherry ice pops

Step-by-step explanation:

if you bought 3 boxes and there is four orange one in each pack the that is

12 and 36 divided by 4 is 9 so there is 9 cherry ice pops

Answer:

missing angle=36 degree

Answer:true

Step-by-step explanation:

just took the test < 3

The statement : "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.

Normal curve is used to represent the class shapes in the statistical probability. Mathematically, we can describe the normal curve as -

[tex]$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}[/tex]

where -

f(x) = probability density function

σ = standard deviation

μ = mean

Given is that for a sample size of n = 26 and a population parameter of

p = 0.6, a normal curve can be used to approximate the sampling

distribution.

It is asked to identify whether the given statement regarding the normal curve is true or false. The given statement is - "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution". The given statement is true.

Therefore, the statement : "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.

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Answer: 61/100 would be the answer

Answer:

then 2 are human

Step-by-step explanation:

because 4 are robots

Answer:

The rest are normal students.

6-4= 2 so that's how many normal students there are.

Please add a little bit more detail to the question please :)

Answer:

Yes 5+2y=13 is a linear relationship

Answer: 166.666 mcgs

Step-by-step explanation:

If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.

A ratio shows us the number of times a number contains another number.

Given that 300 ml of an IV fluid contains 50 mcg of Drug A. Therefore, the ratio of IV fluid to drugs A can be written as,

IV fluid / Drug A = 300ml / 50 mcg

IV fluid / Drug A = 6 ml/ mcg

Now, If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting,

IV fluid / Drug A = 6 ml/ mcg

1000 ml / Drug A = 6 ml/ mcg

Drug A = 1000 ml / 6 ml/ mcg

Drug A = 166.667 mcg

Hence,  If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.

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9514 1404 393

Answer:

  1340

Step-by-step explanation:

The perimeter of a rectangle of length L and width W is ...

  P = 2(L+W)

The perimeter of the rectangle outline of the figure is ...

  P = 2(315 +300) = 2·615 = 1230

That outline is the sum of all of the line segments making up the figure except for two lengths of 55 units each. Adding those, we find the perimeter of the figure to be ...

  P = 1230 +2(55) = 1230 +110 = 1340 . . . units

_____

Additional comment

It can be convenient to consider the total of horizontal segments and the total of vertical segments. We have shown in the attachment that, except for the 55-unit "indent", the horizontal and vertical lengths are equivalent to those of an ordinary rectangle. Thinking about the problem in this way makes it unnecessary to do the tedious arithmetic necessary to find each segment length. (Here, there is not enough information to do that anyway.)

Answer:

how much are they selling them for

Answer:

A rectangle has its Opposite sides Equal.

Draw one so you'd grab it better.

AB=CD

BC= AD

Since CD=AB and We're given AB=x+7...

CD = x + 7

OPTION B IS LEGIT!!

9514 1404 393

Answer:

  table C

Step-by-step explanation:

The rates of change can be computed using the slope formula.

  m = (y2 -y1)/(x2 -x1)

The points used and the resulting "rate of change" are shown in the attachment.

Table C shows a rate of change (1/3) that is less than that of the graph (1/2).

_____

I like to use a spreadsheet for repetitive calculations, especially ones involving negative numbers. This helps prevent errors (and tedium). The formula is entered only once.

The table of values which has a smaller rate of change than the function in the graph is C.

This is defined as the ratio of the vertical change to the horizontal change between any two distinct points on a line.

Slope formula.

m = (y2 -y1)/(x2 -x1)

For table C = 4 -3 / -3 - (-6)

= 1/3

Table C shows a rate of change of 1/3 which is less than that of the graph at 1/2 .

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Answer:

220 miles

Step-by-step explanation:

.18m + 11d = 61.60

d = 2

.18m + 22 = 61.60

Subtract 22 from both sides

.18m = 39.60

Divide both sides by .18

m = 220

Answer:

A - B = 11x² -9x + 14

A - B = 11x² -9x + 14

Answer:

Fossil > Arrow Head > Pottery > Shell > Fishbone > Fish Hook

Step-by-step explanation:

Arrowhead = ___20___ feet

Fishbone = __-10___ feet

Fish Hook = ___-40__ feet

Fossil = __30___ feet

Pottery = ___10___ feet

Shell = ____0___ feet

If something is above sea level, it would have a positive elevation, and if below sea level, a negative elevation.  And at sea level, you have 0 elevation.

After this, just put them in order of decreasing elevation.  So, the highest elevation is  30ft with the fossil, then 20 with the arrow head, pottery at 10, shell at 0, fishbone at -10, fish hook at -40.