Which pairs of events describe independent events?
Select all that apply.

Flipping a coin and having it land with the tails side up; drawing a 7 from a standard deck of cards.

Drawing a king from a standard deck of cards and not replacing it; then drawing a queen from the same deck of cards.

Rolling a standard six-sided die and having it land on a 1; selecting a blue block from a tub of red and blue blocks.

Pulling a red sock from a drawer with 3 red socks and 5 blue socks and not replacing it; then pulling another red sock from the same drawer.

Answer:

− x 2 − 5 x − 17 − 47 x − 3

Step-by-step explanation:

 Divide using polynomial division.

Polynomial :

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.

Answer:

see explanation

Step-by-step explanation:

Since Θ is an angle in the third quadrant, then secΘ < 0 and tanΘ > 0

Using the identity

sec x = [tex]\frac{1}{cosx}[/tex] , then

cos x = - [tex]\sqrt{1-sin^2x}[/tex]

         = - [tex]\sqrt{1-(-3/5)^2}[/tex] = - [tex]\sqrt{1-\frac{9}{25} }[/tex] = - [tex]\sqrt{\frac{16}{25} }[/tex] = - [tex]\frac{4}{5}[/tex], thus

secΘ = [tex]\frac{1}{-\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex]

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

Using the identity

tan x = [tex]\frac{sinx}{cosx}[/tex] , then

tanΘ = [tex]\frac{-\frac{3}{5} }{-\frac{4}{5} }[/tex] = - [tex]\frac{3}{5}[/tex] × - [tex]\frac{5}{4}[/tex] = [tex]\frac{3}{4}[/tex]

The value of sec(x) is (5/4) and tan(x) will be (-3)(4).

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios.

The six trigonometric ratios are the source of all fundamental trigonometric identities.

The given value of sin (x) is ( -3 / 5 ). The values of sec(x) and tan(x) will be calculated as below:-

sec(x) = 1 / cos(x)

[tex]cosx = \sqrt{1-sin^2x}[/tex]

[tex]cosx = \sqrt{1-(\dfrac{-3}{5})^2}[/tex]

cos(x) = 4 / 5

sec(x) = 1 / ( 4 / 5 ) = ( 5/ 4)

The value of tan(x) will be calculated as:-

tan(x) = sin(x)/cos(x) = ( -3 / 5 ) / (4 / 5 )

tan(x) = (-3/4)

Therefore, the value of sec(x) is (5/4) and tan(x) will be (-3)(4).

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ5

Answer:

A

Step-by-step explanation:

-8*2+6≤2(-3*2+1)

= -10≤-10

Answer:

my answer is  3√ 5

Answer:

-3

Step-by-step explanation:

Here is the formula for this one: (x 2- x 1) + (y 2- y 1).

Hope this helps.

Answer:

Step-by-step explanation:

4 feet

Answer:

It would be 4 feet because 6-10 is 4 its really easy

Step-by-step explanation:

I hope i helped?

Answer:

m=6-4/3-2=2/1=2

y-4=2(x-2)

y-4=2X-4

y=2X

Answer:

Watershed is a drainage basin in a particular area where precipitation collects or stores and drains off in a river or bay etc.

hope it helps!

Answer: A watershed describes an area of land that contains a common set of streams and rivers that all drain into a single larger body of water, such as a larger river, a lake or an ocean.  the Mississippi River watershed is an enormous watershed.  Small watersheds are usually part of larger watersheds.

Answer:

30%

Step-by-step explanation

13 is a 30% increase of 10.

Answer:

30% increase

Step-by-step explanation:

subtract original quantity from new quantity: 13 - 10 = 3

divide the difference by original quantity: 3/10 = 0.30

convert that result to percentage by moving decimal place over twice to the right.

You're done! Answer = 30%

Answer:

3.3 cm

Step-by-step explanation:

Volume of a rectangular prism =Length X Width X Height

Volume of the cake batter [tex]=1848cm^3[/tex]

The cake pan is a right rectangular prism 20cm wide by 28cm long.

Therefore:

1848=20 X 28 X Depth

1848=560 X Depth

Depth=1848/560

Depth of the batter=3.3 cm

The batter is 3.3cm deep in the pan.

Conversion:

12 inches = 1 foot

Divide:

48 / 12 = 4

Therefore, Hailey has 4 feet of ribbon.

Best of Luck!

Answer: 4 foot of ribbon

Step-by-step explanation: there is 12 inches in one foot so this means to get the answer you must divide 48 by 12 to get 4 so 4 feet is the answer

hope this helps and mark me brainliest if it did hope you have a great day

Answer:

30%

Step-by-step explanation:

Seems as if that lamb was thiccccca than what you thought

Answer:

100 pack

Step-by-step explanation:

Well first just calculate the cost. 16 * 6 = 96

1.75 * 6 = 10.5

100 popsicles is cheaper.

Answer:

-5

----

6

Step-by-step explanation:

y2-y1

-------

x2-x1

-1-4 -5

------ = ---

4--2 6

~Anna

Answer:

pupil question:

3 6 1

3 have brothers

6 have both

1 has sisters

Step-by-step explanation:

3+6+1+2=12

Answer:

17 1/8 km

Step-by-step explanation:

6 7/8 + 5 1/2 + 4 3/4

The common denominator is 8

6 7/8 already has a denominator of 8

5 1/2 = 5 1/2*4/4 = 5 4/8

4 3/4 *2/2 = 4 6/8

6 7/8 + 5 4/8 + 4 6/8

15 17/8

15 + 8/8+ 8/8+1/8

15 + 1 + 1 + 1/8

17 1/8

Answer:

[tex]\boxed{17\frac{1}{8} \ \sf{km}}[/tex]

Step-by-step explanation:

6 7/8 + 5 1/2 + 4 3/4

Turn to improper fractions.

55/8 + 11/2 + 19/4

Make denominator equal by LCM.

55/8 + 44/8 + 38/8

Add fractions because they have same denominators.

137/8

Turn to mixed fraction.

17 × 8 = 136   + 1

17 1/8

Answer:

16.9 km

Step-by-step explanation:

From the diagram attached, we can see that the problem forms a triangle.

So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.

Thus;

d² = 16.8² + 2.2²

d² = 282.24 + 4.84

d² = 287.08

d = √287.08

d = 16.9434

Approximating to the nearest tenth, we have;

d ≈ 16.9 km

Answer:

I think it might be five feet

Step-by-step explanation:

I'm smart<3

The average change in depth is 5 feet/ second.

It is required to find the average change in depth per second.

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

[tex](x_{1} ,y_{1} )=(0,0)\\\\(x_{2} ,y_{2} )=(30,150)\\\\[/tex]

Scuba diver's rate of change

[tex]m=\frac{150-0}{30-0} \\\\m=5[/tex]feet/sec.

Therefore, the average change in depth is 5 feet/ second.

Learn more about slope here:

https://brainly.com/question/16476489

#SPJ2

Answer:

4.5

Step-by-step explanation:

have a nice day :)

Answer:

4.5

Step-by-step explanation:

when rounding, if the previous number is over 5 you round up or if it's under 5, you stay the same. the tenths spot is the first after the decimal and the next number 4 so you would stay the same.

Answer:

x = 5

y = 4

Step-by-step explanation:

just substitute the value of one variable into the other

-x +y = -1

or y = -1 +x   <-------- (i just added x to the right side)

now u know what y is equal to, just substitute that value into the first equation

2x - (-1+x) = 6     <-------- instead of y, i put the value of y from the 2 equation

NOW SOLVE FOR X!

2x +1 -x = 6

x + 1 = 6

x = 5

now solve for y since you have the value of x

y = -1 + x

or y = -1 + 5

y = 4

Answer:

y=3.166     x=4.166

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Let's use S for Suzanne

A for Allison

S= 12

4s = A

4 x 12 =48

Answer:

pi=3.14

Step-by-step explanation:

3.14

Answer:

You’ve studied and now you’re geared up for the ACT math section (whoo!). But are you ready to take on the most challenging math questions the ACT has to offer? Do you want to know exactly why these questions are so hard and how best to go about solving them? If you’ve got your heart set on that perfect score (or you’re just really curious to see what the most difficult questions will be), then this is the guide for you.

We’ve put together what we believe to be the most 21 most difficult questions the ACT has given to students in the past 10 years, with strategies and answer explanations for each. These are all real ACT math questions, so understanding and studying them is one of the best ways to improve your current ACT score and knock it out of the park on test day.

Brief Overview of the ACT Math Section

Like all topic sections on the ACT, the ACT math section is one complete section that you will take all at once. It will always be the second section on the test and you will have 60 minutes to completed 60 questions.

The ACT arranges its questions in order of ascending difficulty. As a general rule of thumb, questions 1-20 will be considered “easy,” questions 21-40 will be considered “medium-difficulty,” and questions 41-60 will be considered “difficult.”

The way the ACT classifies “easy” and “difficult” is by how long it takes the average student to solve a problem as well as the percentage of students who answer the question correctly. The faster and more accurately the average student solves a problem, the “easier” it is. The longer it takes to solve a problem and the fewer people who answer it correctly, the more “difficult” the problem.

(Note: we put the words “easy” and “difficult” in quotes for a reason—everyone has different areas of math strength and weakness, so not everyone will consider an “easy” question easy or a “difficult” question difficult. These categories are averaged across many students for a reason and not every student will fit into this exact mold.)

All that being said, with very few exceptions, the most difficult ACT math problems will be clustered in the far end of the test. Besides just their placement on the test, these questions share a few other commonalities. We'll take a look at example questions and how to solve them and at what these types of questions have in common, in just a moment.

But First: Should You Be Focusing on the Hardest Math Questions Right Now?

If you’re just getting started in your study prep, definitely stop and make some time to take a full practice test to gauge your current score level and percentile. The absolute best way to assess your current level is to simply take the ACT as if it were real, keeping strict timing and working straight through (we know—not the most thrilling way to spend four hours, but it will help tremendously in the long run). So print off one of the free ACT practice tests available online and then sit down to take it all at once.

Once you’ve got a good idea of your current level and percentile ranking, you can set milestones and goals for your ultimate ACT score. If you’re currently scoring in the 0-16 or 17-24 range, your best best is to first check out our guides on using the key math strategies of plugging in numbers and plugging in answers to help get your score up to where you want it to. Only once you've practiced and successfully improved your scores on questions 1-40 should you start in trying to tackle the most difficult math problems on the test.

If, however, you are already scoring a 25 or above and want to test your mettle for the real ACT, then definitely proceed to the rest of this guide. If you’re aiming for perfect (or close to), then you’ll need to know what the most difficult ACT math questions look like and how to solve them. And luckily, that’s exactly what we’re here for.

body_green_light

Ready, set...

21 Hardest ACT Math Questions

Now that you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.

#1:

body_ACT_0506_-_56

#2:

body_ACT_0506_-_59

#3:

body_ACT_0809_-_38_J

#4:

body_ACT_0809_-_54

#5:

body_ACT_0809_-_55-1

#6:

body_ACT_0809_-_56

#7:

body_ACT_0809_-_57-1

#8:

body_ACT_0809_-_60

#9:

body_ACT_1112_-__48-1

#10:

body_ACT_1112_-_45

#11:

body_ACT_1112_-_51-1

#12:

body_ACT_1112_-_52

#13:

body_ACT_1112_-_53

#14:

body_ACT_1112_-_58

#15:

body_ACT_1314_-_55-1

#16:

body_ACT_1314_-_59

#17:

body_ACT_1516_-_43

#18:

body_ACT_1516_-_44

#19:

body_ACT_1516_-_52

#20:

body_ACT_1516_-_57-1

#21:

body_ACT_1516_-_58-1

Step-by-step explanation:

Answer:

Cost of ordering t-shirts the same at both sides is 7

The cost is $85

Step-by-step explanation:

let x equal the number of tshirts

Hence:

15 + 10x = 50 + 5x

10x-5x= 50-15

5x = 35

35/5x

x = 7

Therefore the cost of ordering t-shirts the same at both sides is 7

The cost is $85

Answer:A

Step-by-step explanation:

A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.

Here,

The lower quartile (Q1) of the data set is 3, so the bottom of the box must start at 3.
The interquartile range (IQR) is 5, so the upper quartile (Q3) must be
Q1 + IQR = 3 + 5 = 8

The median (also called the first quartile) is halfway between Q1 and Q3, so it must be at (Q1 + Q3) / 2 = (3 + 8) / 2 = 6.

The whiskers extend to the minimum and maximum values within 1.5 * IQR of the box, so they must range from 2 to 15.

Learn more about box plots here:

brainly.com/question/1523909

#SPJ6

Answer:

Huh. I don't really see the question at hand.

Answer:

more than

Step-by-step explanation:

Answer: (A ) greater than

Step-by-step explanation:

The answer is greater than the number Of points Luther scores in each game

All you have to do is count the little lines and wherever the little end part of the line in box ends is the number of points he gets a game so Nelson is 24 points and Luther is 19 points.

Answer:

The z-score is -2

Step-by-step explanation:

Here, we are asked to calculate the z-score of the height.

Mathematically, we can calculate z-score by using the formula below;

z-score = (x-mean)/SD

According to this question, mean = 44cm and SD = 3cm with x here = 38cm

Plugging these values into the z-score equation, we have

z-score = (38-44)/3 = -6/3 = -2

Answer: My bad I don’t know how to teach it but it’s B

Answer:

B

Step-by-step explanation:

Answer:it is b2 I took the test

Step-by-step explanation:

Now mark me braunliest

Answer:

[tex] \frac{13}{ - 5} [/tex]

Step-by-step explanation:

[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{7 - ( - 6)}{ - 3 - 2} \\ \frac{7 + 6}{ - 5} \\ = \frac{13}{ - 5} [/tex]

Answer:

-2.6

Step-by-step explanation:

Slope or gradient is the ratio of the vertical (y axis) and horizontal distances (x axis) between two points on a line.

It should be noted that it is defined as zero if the line is horizontal, but undefined if it is vertical.

Given:

Coordinates (- 3, 7) (2, - 6)

y1 = 7, y2= -6, x1= -3, x2=2

Slope : ∆ y/ ∆ x

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

= (-6 - (7))/ (2 - (-3))

= (-13)/(5) = -13:5= -2.6