a tea shop sells 42 varieties of boxes of tea. iroh purchases 5 boxes of tea. how many ways are there for iroh to make a selection if there is no restriction on the varieties of tea purchased from the shop?

As per the Pythagoras theorem, the number of feet along the ground from the tent pole to the rope is 8 feet.

Here we have given that A 15-foot tall tent pole incurred to the ground using a piece of rope 17 feet long that goes from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground,

And we need to determine the number of feet along the ground from the tent pole to the rope.

AS per the given data, here we have consider that the pole makes 90° with the ground and is supported by a rope.

And for the clear observation, here we can realize that the pole, rope and ground form a right-angled triangle, where

The value of Hypotenuse (h) = length of rope = 17 feet

And the Side 1 (p) = length of tent pole = 15 feet

Then the Side 2 (b) = distance between pole and rope along the ground

Now, we have to applying the Pythagorean theorem, the following equation is obtained:

=> h² = p² + b²

Then we have to apply the values on it, then we get

=> 17² = 15² + b²

=> b² = 289 - 225

Therefore, the value of is calculated as,

=> b = √64

=> b = 8 feet

Therefore the distance between the tent pole and the rope along the ground is 8 feet.

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The percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa is above 90%.

This holiday season, it should be noted that that 92% of Americans will celebrate Christmas, 5% will celebrate Hanukkah, and 3% will celebrate Kwanzaa. Five percent will celebrate more than one holiday

America has come to appreciate Hanukkah. Hanukkah is celebrated by the majority of American Jews, at least with a family meal or the lighting of a menorah, and the majority of non-Jews in America are aware of the holiday.

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The probability the card is red, given that it is a face card is 1/2 and  the probability the card is a king, given that it is a face card is 1/3.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

A card is drawn from a standard 52-card deck (no jokers).

We have to match each event with its probability.

Since, a deck of cards contains the face cards J, Q, and K.

Let's say there are four different kinds of cards: spades, clubs, hearts, and diamonds.

King, Queen, and Jack are contained in each of these types.

Thus, the total number of face cards is 12 (3 x 4).

(1)  Let the face cards are 12 and there are 6 red cards in that 12 face cards.

So, the probability the card is red, given that it is a face card is

= 6/12 = 1/2.

(2)  There are 4 king in a 12 face cards.

So, the probability the card is a king, given that it is a face card

= 4/12 = 1/3.

Hence the probability the card is red, given that it is a face card is 1/2 and  the probability the card is a king, given that it is a face card is 1/3.

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Answer:

Below

Step-by-step explanation:

"The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic."

v is dependent variable (see the quote above)

     c is independent

Answer:

y-intercept: (0,4)

y-intercept in the coordinate form: (0,4)

The equation in slope-intercept form: y=7x+4

Step-by-step explanation:

The slope is rise/run

We see that the y increase by 28 and the x increase by 4, so the slope is 28/4 = 7

m = 7

We know that the y-intercept is at (0,4)

So the slope-intercept equation will be

y = 7x + 4

Answer:

y- intercept = 0.4

y- intercept in the coordinate = 0.4

so the equation is : y=7x+4

A sampling technique that is based on the cumulative effect of information that every additional item in the sample adds as it is inspected is called: sequential sampling.

What is sequential sampling?

Sequential sampling is a non-probability sampling strategy where the researcher selects one or more populations within a time frame, conducts his research, evaluates the findings, and then selects further populations as necessary.

An auditor develops a set of three groups of sampling units, where each successive group contains the same number of units to be sampled. The sampling plan is to continue to the next group of sampling units if the preceding group contains at least one deviation

Simple random sampling, systematic sampling, stratified sampling, and cluster sampling are examples of probability sampling techniques.

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Answer:

4

Step-by-step explanation:

x + 8 = 12

Subtract 8 from both sides :

x = 12 - 8

x = 4

Hope this helped and have a good day

Therefore the probability that out of ten randomly selected 30 year old in 1970. at least one did not earn more than his or her parents at age 30  is 0.8448

The study of probabilities involves calculating the possibility that an event will occur or that a proposition is accurate. The probability of an event is a number between 0 and 1, where 0 often represents impossibility and 1 typically represents certainty.

Here,

It is found by reading so it says ten so we multiply 0.8300 10 times by one and one example 0.0830,0 0.8300, 0.8300 ,0.8300..... and so forth or else you will not get the correct answer, there is an easier way to put in the calculator but you figure that out

after we found that we get =

1−0.830010^10

Our response is 0.1552, so since it specifies "at least," we deduct 1.

= 1−0.1552

and our answer is :

= 0.8448

Therefore, the probability that out of ten randomly selected 30 year old in 1970. at least one did not earn more than his or her parents at age 30  is 0.8448

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The required probability that the spinner and number cube both lands on number 2 is 1/4. Option E is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total sample space = 4 × 6 = 24
Favorable event  = (2, 2) = 1
The probability that the spinner and number cube both lands on number 2,
= favorable outcome/sample space
= 1 / 24

Thus, the required probability that the spinner and number cube both lands on number 2 is 1/4. Option E is correct.

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Answer:

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

According triangle inequality theorem the sum of any two sides of a triangle is greater than the third side.

Apply this to our options, add up the two shortest sides and compare with the longest side.

The correct answer is a. margin of error.

The margin of error is a measure of the precision of a survey or poll. It represents the range of values within which the true value of the population parameter being measured is likely to fall, based on the sample data collected. A smaller margin of error indicates a higher level of precision and a more reliable estimate of the population parameter. In general, a margin of error of less than +/- 5 is considered to be a good benchmark for a reliable public opinion poll.

The modal response is the most common response to a survey question. The sample size is the number of people included in the survey. Standard deviation is a measure of the dispersion of a set of data. Self-selection bias refers to the possibility that the people who choose to participate in a survey are not representative of the entire population being studied.

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Answer:

w < 65 is the correct inequality.

Answer:

Below

Step-by-step explanation:

D / 5.2 = 2.4        multiply both sides of the equation by 5.2 to get

D = 12.48

Answer: 40%

Step-by-step explanation:

the pecentage of decrease is 40%

correct me if i'm wrong ;(

HOPE THIS HELPS

Answer:

Step-by-step explanation:

Let y be the altitude and x the distance the plane travels from the point of the 35600 ft altitude location (x=0 at that point)

y = 35600 - 3200x

It would be nice to use time instad of distance, but there is no speed of the plane give.  It's altitude is espressed only on the basis of miles traveled.  If the elevation change were given in feet per minute, or some other unit of time, we can write an equation with time as the x variable.

This equations says:

1)  the plane starts at 35,600 ft (since x = 0, the result is 35,600 feet).

2) it descends 2,300 ft for every mile traveled from x = 0.

The unit rate of change is 3200 feet/mile.

The graph is attached.

Answer:

-12/3

Step-by-step explanation:

the slope of a linear equation is defined as

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y is the output so in this case, the y's would be f(n) on the chart

x is the input so in this case the x's would be n on the chart

to keep things simple ill use the first 2 columns of the chart, which give the (x,y) pairs (-3,15) and (0,3)

Simply plug these x's and y's into the above equation to get the slope

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\\frac{3 -15 }{0--3 }\\\frac{-12}{3} \\[/tex]

Micah's best long jump is 3 meters long.

In this question we have been given Avi and Micah are teammates on a track and field team.

We need to find the how long is Micah's best long jump.

Let Micah's best long jump is x meters and Avi's  best long jump is y meters.

Avi's best long jump is 3 1/2 meters.

⇒ y = 3 1/2 meters

We write this improper fraction as proper fraction.

3 1/2 = 7/2

Also, Avi's best long jump is 1 1/6 times as long as Micah's.

So, we get an equation

y = (1 1/6) * x

We write improper fraction 1 1/6 as 7/6

So equation becomes,

y = 7/6 * x

Subatitute the value of y

7/2 = 7/6  * x

x = (7/2)/(7/6)

x = 6/2

x = 3 meters

Therefore, Micah's jump is 3 meters long.

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Answer: 360

Step-by-step explanation:

Answer is 360 degrees

a parallelogram can be divided into two triangles

The Sum of the angles of each triangle is 180°

2 x 180 =360

Answer:

360

Step-by-step explanation:

Formula to find the sum of angles of any shape

(n-2)x180

(4-2)x180

2x180=360

Hence the sum of angles of a parallelogram is 360

The proof is explained below

A column proof is a logical argument that is presented in an organized manner. Every two-column proof has exactly two columns. One column represents our statements or conclusions and the other lists our reasons. In other words, the left-hand side represents our “if-then” statements, and the right-hand side explains.

     Statements                                  Reasons

1) ΔABC & ΔDCB are right                  ∠B =∠C =90°

angle triangle

2) AC=DB                                              Given

3) BC is common                                 Given

to both ΔABC & ΔDCB

4)  By SAS property ΔABC≅ΔDCB          ∠B =∠C =90° , BC is common,                          

                                                                       and AC = DB

5) AB=DC                                                 By CPCT theorem

Hence, proved via two column proof.

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Answer:

It seems that you are describing a geometric transformation in which triangle WXY is rotated to form triangle W'X'Y'. The correct statement describing this transformation is: "WXY right-arrow W'X'Y'". In this transformation, the triangle is rotated in some way, resulting in the new triangle W'X'Y'.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

ok i can di it...... ..........

The solution is 28.3 m

The circumference of the circle whose radius is 4.5 m is 28.3 m

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the circumference of the circle be represented as C

Now , the equation will be

The diameter of the circle = 9 m

The radius of the circle r = d/2 = 4.5 m

And , the circumference of the circle C = 2πr

Substituting the values in the equation , we get

Circumference of the circle C = 2 x 3.142 x 4.5

Circumference of the circle C = 28.278 m

Therefore , the value of C is 28.3 m

Hence , the circumference of the circle is 28.3 m

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Answer:

x = 90 Tan 50

107.1

Step-by-step explanation:

Adjacent = 90

Height of the tree(opposite) = x

so what connects adjacent and opposite is TOA

Tanθ = opposite /Adjacent

Tan 50° = x/90

cross multiply

x = 90 Tan 50°

x = 90 × 1.19

x = 107.1m

:- the height of the tree is 107.1m

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Answer:

D: 3/11

Step-by-step explanation:

3/11 is equal to .2727272727 which is known as a repeating decimal as it is never-ending.

3/5 = .6

3/8 = .375

3/10 = .3

Answer:

y = 4x + 1

Step-by-step explanation:

4x - y = 2 => y = 4x - 2

So slope of the above equation is 4.

Parallel lines should have the same slope

Given m = 4, y = -3, x = -1

y = mx + b

-3 = 4(-1) + b

-3 = -4 + b

b = 1

so y = 4x + 1

Answer:

Indentify a pair of segments that are marked perpendicular to each other on the diagram below

Step-by-step explanation:

OQ

The slope of the line as per the given points will be equal to 7/10.

It is possible to determine a line's direction and steepness by looking at its slope.

Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the given information in the question,

The given points are (25, 24) and (15, 17)

Use the formula to find the slope,

m = (y₂ - y₁)/(x₂ - x₁)

Substitute the values in the above formula,

m = (17 - 24)/(15 - 25)

m = -7/-10

m = 7/10

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Probability that any one of three outcomes will occur: P(A, B, C), plus P(A, B, C'), plus P(A, B', C);

What is the probability that 3 people have different birthdays?

Since there are 363 days still “unused” out of 365, we have p = 363÷365 = about 0.9945. Multiply that by the 0.9973 for two people and you have about 0.9918, the probability that three randomly selected people will have different birthdays.

Poisson Way. The probability of same-birthdays triplet is 1 / (365 * 365), which is very small, and there are C(n, 3) triplets, which is a big number for the moderately high values of n (~>20).

Calculating the likelihood of three events

Probability that at least one of the three events occurs: Probability that each of the three occurrences will occur: P(A, B, C);

Probability that any one of three outcomes will occur: P(A, B, C), plus P(A, B, C'), plus P(A, B', C);

P() is the likelihood that none of the events will occur.

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Answer: 5

Step-by-step explanation:

(5^2) - (4 x 5)

The volume of the solid cone obtained by rotating the region bounded by the line y=12x, y=0, and x=4 about the x-axis is 38603.89 [tex]unit^{3}[/tex]

We will calculate the volume in the following way,

Given lines are: x=4, y=0, y=12x

First, we make a triangle from the given equation and then rotate it along the x-axis to get the dimensions of the cone.

We, need to put x=4 and y=0 in y=12x to get all the vertices of the triangle.

Points are: (0, 0), (4, 0), and (4, 48).

Now, we rotate this triangle about the x-axis.

Thus, the radius of the cone(r)= 48 and the height of the cone(h)= 4.

Therefore, the formula for the volume of the cone (v)= [tex]\frac{4}{3}*(\pi *r^{2}*h )[/tex]

=[tex]\frac{4}{3} \pi*48^{2}*4[/tex]

=38603.89 [tex]units^3[/tex]

Therefore the volume obtained is 38603.89 [tex]unit^{3}[/tex]

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When the point N is dilated, the coordinate of N changes to N' ,the coordinate of point N is (8,12).

What is dilation?

In arithmetic, a dilation may be a perform f from a mathematical space M into itself that satisfies the identity d=rd for all points x, y \in M, wherever d is that the distance from x to y and r is a few positive imaginary number.

Main body;

How to determine the coordinate of N

The given parameters are:

N' = (10,15)

k = 5/4

To calculate the coordinate of N, we make use of:

N * k = N'

So, we have:

N * 5/4 = (10,15)

Multiply both sides by 4

N * 5 = (40,60)

Divide both sides by 5

N = (8,12)

Hence, the coordinate of point N is (8,12)

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