Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs is $ 465. What is the cost of one chair?

Answer:

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

12 properties

This means that [tex]n = 12[/tex]

She feels that there is a 50% chance of selling any one property during a week.

This means that [tex]p = 0.5[/tex]

Compute the probability of selling no more than 6 properties in one week.

This is:

[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002[/tex]

[tex]P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029[/tex]

[tex]P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161[/tex]

[tex]P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537[/tex]

[tex]P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208[/tex]

[tex]P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934[/tex]

[tex]P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256[/tex]

[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127[/tex]

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

Answer:

9 pints would equal 144 ounces

Step-by-step explanation:

Pints

The US liquid pint is a unit of fluid volume equal to one-eighth of a gallon, one-half of a quart, or two cups. The liquid pint should not be confused with the dry pint (US) or the imperial pint, which are different units.

The pint is a US customary unit of volume. Pints can be abbreviated as pt; for example, 1 pint can be written as 1 pt.

Fluid Ounces

The US fluid ounce is a unit of volume equal to 1/16 of a pint or 1/8 of a cup. The fluid ounce is sometimes referred to as an "ounce" but should not be confused with the unit of mass. One fluid ounce is equal to just under 29.6 milliliters, but in nutrition labeling, one fluid ounce is rounded to exactly 30 milliliters.[1]

The fluid ounce is a US customary unit of volume. Fluid ounces can be abbreviated as fl oz, and are also sometimes abbreviated as fl. oz. or oz. fl.. For example, 1 fluid ounce can be written as 1 fl oz, 1 fl. oz., or 1 oz. fl..

Pint to Fluid Ounce Conversion Table

Pint measurements converted to fluid ounces

Pints Fluid Ounces

1 pt 16 fl oz

2 pt 32 fl oz

3 pt 48 fl oz

4 pt 64 fl oz

5 pt 80 fl oz

6 pt 96 fl oz

7 pt 112 fl oz

8 pt 128 fl oz

9 pt 144 fl oz

10 pt 160 fl oz

11 pt 176 fl oz

12 pt 192 fl oz

13 pt 208 fl oz

14 pt 224 fl oz

15 pt 240 fl oz

16 pt 256 fl oz

17 pt 272 fl oz

18 pt 288 fl oz

19 pt 304 fl oz

20 pt 320 fl oz

21 pt 336 fl oz

22 pt 352 fl oz

23 pt 368 fl oz

24 pt 384 fl oz

25 pt 400 fl oz

26 pt 416 fl oz

27 pt 432 fl oz

28 pt 448 fl oz

29 pt 464 fl oz

30 pt 480 fl oz

31 pt 496 fl oz

32 pt 512 fl oz

33 pt 528 fl oz

34 pt 544 fl oz

35 pt 560 fl oz

36 pt 576 fl oz

37 pt 592 fl oz

38 pt 608 fl oz

39 pt 624 fl oz

40 pt 640 fl oz

Please don't report this. :(

Answer: 228 yds^2

Step-by-step explanation:

Surface Area=  2 (L x W) + (L x H) + (W x H)

2×(6×4 + 6×9 + 4×9) = 228

The height of the monument is 30 meters.

We have,

Let's assume the height of the monument is "h" meters.

From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.

In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.

The opposite side of the angle of depression is the height of the monument, which is "h" meters.

Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.

Therefore, the opposite sides are equal in length.

By setting up the equation:

h = 30

Thus,

The height of the monument is 30 meters.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

Answer:

35+70=105, 180-105=75 so the answer is c 75°

Step-by-step explanation:

Answer:

x = 0

y = 1

z = -4

Step-by-step explanation:

6x + 4y + 1z = 0 => z = -6x -4y

If 12x - 4y - 5z = 16, then

12x - 4y - 5(-6x - 4y) = 16

12x - 4y + 30x + 20y = 16

42x + 16y = 16 => 21x + 8y = 8

then y = (8 - 21x)/8

if -24x - 4y + 5z = -24

-24x - 4y + 5(-6x -4y) = -24

-24x - 4y - 30x - 20y = -24

-54x - 24y = -24 => -9x - 4y = -4

substitute y = (8 - 21x)/8

then -9x - 4(8 -21x)/8 = -4

-9x - 1/2(8 -21x) = -4

times 2 in both side

-18x - (8 - 21x) = -8

-18x - 8 + 21x = -8

3x = -8 + 8

3x = 0

x = 0

then y = (8 - 21x)/8 = (8 - 21(0))/8 = (8 - 0)/8 = 8/8 = 1

then z = -6x -4y = -6(0) - 4(1) = 0 - 4 = -4

Hope this helps

Answer:

no I don't think it does make a right triangle

Answer:

No i don't think it does..

Step-by-step explanation:

um trust me?

Answer:C

Step-by-step explanation:

Answer:

y=25x+55

7 weeks = 230

gyhbgt

Answer:

The answer is false

Answer:

False

Step-by-step explanation:

Answer:

I only have this much

The rest you have to do on your own

Answer:

The length is 8 ft.

The width is 2 ft.

Step-by-step explanation:

A = l*w

l = w + 6

16 = w(w + 6)

16 = w^2 + 6w

w^2 + 6w - 16 = 0

(w + 8)(w - 2) = 0

w = -8ft or 2ft

Since lengths cannot be negative in reality, w = 2ft.

l*2 = 16

l = 8ft

Answer:

Does anyone watch shaurya aur anokhi ki on star plus an Indian serial you'll love it I guarantee

Answer:

6/8

Step-by-step explanation:

3/4 is equal to 6/8

Answer:

y=45

Step-by-step explanation:

Answer:

=45

Step-by-step explanation:

Answer:

perimeter of trapezium =sum of all sides

perimeter of trapezium =10cm+6cm+12cm+8cm

perimeter of trapezium =36cm

perimeter of semicircle =pi×r

perimeter of semicircle =3.14×6cm

perimeter of semicircle =18.84cm

perimeter of the figure =36cm+18.84cm=54.84cm

Answer:

The Answer is B

Hope that helps

Answer:

2 : 5

Step-by-step explanation:

4/10 = 8.6/21.5 = 10/25 because all ratios equal 2/5

Answer:

2:5

Step-by-step explanation:

all the ratios are equal

Answer:

(6,1) is the correct answer

Answer: (-2,5)

Step-by-step explanation:

Answer:

9-0=9

Step-by-step explanation:

highest- lowest=range

Answer:

Definition: About Transcript. The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.

How to find: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

hope this helps!

This question is incomplete, the complete question is;

Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)

Required:

Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis. Report your answer as a number ( no symbols ) and round up to two decimal places.

Test mean

Hypothesized value : 1500

Actual Estimate        : 1613.07

DF                             : 251

Std Dev                    : 782.626

t Test

prob > |t|  0.0226*

Answer:

the value of the test statistic used to gather evidence against the null hypothesis is 2.29

Step-by-step explanation:

Given the data in the question,

we determine Test statistics of using the formula

t = (x" - μ) / (s/√n)

where;

μ is the theoretical mean ( 1500 )

x" is the observed mean ( 1613.07)

s is the standard deviation ( 782.626 )

n is the sample size ( DF = n - 1, n = DF + 1 , n = 251 + 1 = 252 )

so we substitute

t = (1613.07 - 1500 ) / (782.626 / √252)

t = 113.07 / 49.3008

t = 2.29

Therefore, the value of the test statistic used to gather evidence against the null hypothesis is 2.29

Answer:

6 inches

Step-by-step explanation:

area = l x w

area = 60

6 x 10 = 60

lenght: 10

width: 6

The width is 6 inches.

Answer:

Toni can type 270 words in 3 minutes.

Step-by-step explanation:

Given that the double number line shows that Toni can type 180 words in 2 minutes, based on the ratio shown in the double number line, to determine how many words can Toni type in 3 minutes, the following calculation must be performed:

(180/2) x 3 = X

90 x 3 = X

270 = X

Thus, Toni can type 270 words in 3 minutes.

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Matrix notation can be confusing, but it's important to remember that systems of equations are typically written as follows:

#x + #y + #z = #

so if there was only one equation it would be written like this:

[tex]\left[\begin{array}{ccc}5&2&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = [16]\\\\5x + 2y + z = 16\\[/tex]

Then just follow the same pattern for the remaining equations