Find the mean, median, and interquartile for the data set below.
17, 23, 8,5,9,16, 22, 11, 13, 15, 17, 18

Answer:

answer: x = 55

Step-by-step explanation:

Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125

180 - 125 = 55 Hope this helps!

Answer:

x = 55°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180° for x

x = 180° - (98 + 27)° = 180° - 125° = 55°

Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

Answer:

6.4

Step-by-step explanation:

5^2 + 4^2 = c^2 (pythagoras)

c^2 = 41

c = 6.4

Answer:

what number is it less than? i need that number to solve it

once you give it to me i will solve it

Step-by-step explanation:

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

Answer:

3/10 of all the M & M's are red and blue.

Step-by-step explanation:

Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:

1/10 = 0.10

1/5 = 2/10 = 0.20

1/10 + 2/10 = X

3/10 = X

Therefore, 3/10 of all the M & M's are red and blue.

Answer:

[tex]V=2143.57\ mm^3[/tex]

Step-by-step explanation:

Given that,

The radius of the sphere, r = 8 mm

We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]

So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].

Answer:

C

Step-by-step explanation:

6.3/3 = 2.1

12.6/6 = 2.1

18.9/9 = 2.1

Answer:

1/9

Step-by-step explanation:

The probability of getting 9 as the sum when 2 dice are thrown is 1/9.

Answer:

t = 2466.67 years (about 2466 years 8 months)

Step-by-step explanation:

Given: Total P+I (A) = $350000, Principal (P) = $26250, Rate (R) = 0.5%

To find: How long did it take Sabrina to pay if the loan if she ended up pay $26250 interest?

Formula: [tex]t = (1/r)(A/P - 1)[/tex]

Solution: To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate

First, converting R percent to r a decimal

r = R/100 = [tex]\frac{0.5 percent}{100}[/tex] = 0.005 per year,

then, solving our equation

t = (1/0.005)((350000/26250) - 1) = 2466.67

t = 2466.67 years

Therefore, it will take Sabrina 2466.67 years (about 2466 years 8 months) to pay off the loan.

Answer:

[tex]\frac{5}{1}[/tex] or 5

Step-by-step explanation:

Using the data provided we would create the following equation to calculate Grace's bank account using the variable x to represent the number of weeks.

f(x) = 5x + 15

The slope of a function in such a function would be the value of that is being multiplied by x. The numerator would be the numberof units it is rising in a graph while the denominator represents the number of units it is moving to the right. Since in this scenario, the number is a whole number (5) the denominator is automatically 1. Meaning that the slope is 5 units up for every 1 unit to the right.

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A P # X

The z-score of the value P ( x < 92 ) is given by z = -1 with standard deviation of 6 is P ( x < 92 ) = 0.16

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the distribution be a normal distribution where

The mean of the data is μ = 98

The standard deviation is σ = 6

Now , the Z-score is determined by z = (x - μ)/σ

On simplifying , we get

when x = 92

P ( x < 92 ) is

z = ( 92 - 96 ) / 6

z = -1

So , the p value of P ( x < 92 ) is 0.1587

On rounding to the nearest value , we get

P ( x < 92 ) = 0.16

Hence , the z-score is solved

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Answer:

13

Step-by-step explanation:

45+42=87

100-87=13

Answer:

[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

                                                             √3                  4√3

Note that cos 30 degrees (which is ---------) equals ---------  

                                                                2                      x

which simplifies to:

    1         4

  ----   = -----    

    2         x

so that x = 8                                                                                                

Answer:

55.5

Step-by-step explanation:

Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.

According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.

Raising power means multiplying that number that many times to get the answer.

What is simplification in fraction?

The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

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Answer:

the money reducted = 1870 - 580

                                  = 1290

now the percentage = 1290/1870 x 100

                                  = 68.9%

Step-by-step explanation:

Answer:

Step-by-step explanation:

the money reducted = 1870 - 580

                                 = 1290

now the percentage = 1290/1870 x 100

                                 = 68.9%

Answer:

3 adult tickets and 5 children tickets.

Step-by-step explanation:

Make a chart:

1 adult + 7 children = 1(5)+7(3) = 26

2 adults + 6 children = 2(5)+6(3) = 28

3 adults + 5 children = 3(5)+5(3) = 30

4 adults + 4 children = 4(5)+4(3) = 32

5 adults + 3 children = 5(5)+3(3) = 34

6 adults + 2 children = 6(5)+2(3) = 36

7 adults + 1 child = 7(5)+1(3) = 38

The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.

Answer:

A

Step-by-step explanation:

Recall that sin = opposite over hypotenuse

For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.

The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

we are given that the legs = 2 and 4 and need to find the hypotenuse

That being said we plug in what we are given and solve for c

[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]

In order to get the exact value of c we must get rid of the exponent.

To do so we can take the square root of both sides

[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]

hence, the hypotenuse = √20

Now lets look back at the question

Find sin∠A to the nearest hundredth.

well remember sin = opposite over hypotenuse

The opposite of sin∠A is 2 and the hypotenuse is √20

Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595

Our last step is to round to the nearest hundredth

We get the sin∠A = .45

[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]

[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]

Answer: 120 cans.

Answer:

a

Step-by-step explanation:

because if they are 3.00 dollars then you decide that bye 180 to get your answers

Answer:

B

Step-by-step explanation:

because 180 is 15 dozen so 15 times 3 would give you the right answer

Answer:

44%

0.44 is 44% of 1.

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

Answer:

A,

23/6v+28

Step-by-step explanation:

Answer:

D. 23/6v+28

Step-by-step explanation:

Answer:

339 cm²

Step-by-step explanation:

Using the relation for the surface area of a cylinder :

A = 2πrh

r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm

Height, h = 24 cm

A = 2 * 22/7 * 2.25 * 24

A = 339.29200 cm²

Surface Area =339 cm²

About 339cm³ of cardboard will be needed for the inner tube.

To make inner tube card board needed is 339 cm² of the material.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Here, diameter = 4.5 cm

then, radius = 4.5/2 = 2.25 cm

          height = 24 cm

Surface area = 2πrh

                       = 2 X 3.14 X 2.25 X 24

                       = 339.12 cm²

Thus, to make inner tube card board needed is 339 cm² of the material.

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Answer:

(x is number)

x=7>5

Step-by-step explanation:

hope this helps

Answer:

268 units³

Step-by-step explanation:

V = 4/3 (pi)r³

V = 4/3 (3.14) (4³)

V = 4/3 (3.14) (64)

V = 4/3 (200.96)

V = 268

Answer:

In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]

For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.

For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]

A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]

A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).

Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]

Answer:

1/12 or 0.0833333333

Step-by-step explanation:

0.5 probability of getting heads

1/6 probability of getting a 5

1/6 * 1/2 = 1/12