Six friends, four boys and two girls, went to a movie theater. They wanted to sit in a way so no girl sits on either first or last chair. How many such arrangements are possible?

Answer:

78 pork sliders

Step-by-step explanation:

The food concession owner sold 120 beef, vegetable and pork sliders.

20% were beef.

15% were vegetable.

The percentage of pork sliders sold is:

100 - (20 + 15) = 100 - 35 = 65%

The number of pork sliders sold is therefore:

65/100 * 120 = 78

78 pork sliders were sold.

Answer:

y-intercept = (0,4)

Step-by-step explanation:

To find the y-intercept, the place at which the value of x is 0, simply plug zero into your function:

f(x) = 4 - 5x

f(0) = 4 - 5(0)

f(0) = 4

Hence, the y-intercept occurs at (0,4).

The  y-intercept of f(x) = 4 - 5x is 4.

Using the slope intercept formula the  y-intercept can be found below

where

m = slope

b = y-intercept

From the equation:

f(x) = 4 - 5x

According to the slope intercept format,

m = slope = -5

y- intercept = 4

Therefore, the  y-intercept of f(x) = 4 - 5x is 4.

read more: https://brainly.com/question/4023516?referrer=searchResults

Answer:

a. 0.0368

b. 0.99992131

c. 0.2039

d. 0.0048

e. 0.6533

Step-by-step explanation:

Let the probability of obtaining a head be p = 65% = 13/20 = 0.65. The probability of not obtaining a head is q = 1 - p = 1 -13/20 = 7/20 = 0.35

Since this is a binomial probability, we use a binomial probability.

a. The probability of obtaining 11 heads is ¹²C₁₁p¹¹q¹ = 12 × (0.65)¹¹(0.35) = 0.0368

b. Probability of 2 or more heads P(x ≥ 2) is

P(x ≥ 2) = 1 - P(x ≤ 1)

Now P(x ≤ 1) = P(0) + P(1)

= ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹

= (0.65)⁰(0.35)¹² + 12(0.65)¹(0.35)¹¹

= 0.000003379 + 0.00007531

= 0.0007869

P(x ≥ 2) = 1 - P(x ≤ 1)

= 1 - 0.00007869

= 0.99992131

c. The probability of obtaining 7 heads is ¹²C₇p⁷q⁵ = 792(0.65)⁷(0.35)⁵ = 0.2039

d. The probability of obtaining 7 heads is ¹²C₉q⁹p³ = 220(0.65)³(0.35)⁹ = 0.0048

e. Probability of 8 heads or less P(x ≤ 8) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰ + ¹²C₃p³q⁹ + ¹²C₄p⁴q⁸ + ¹²C₅p⁵q⁷ + ¹²C₆p⁶q⁶ + ¹²C₇p⁷q⁵ + ¹²C₈p⁸q⁴

= = ¹²C₀(0.65)⁰(0.35)¹² + ¹²C₁(0.65)¹(0.35)¹¹ + ¹²C₂(0.65)²(0.35)¹⁰ + ¹²C₃(0.65)³(0.35)⁹ + ¹²C₄(0.65)⁴(0.35)⁸ + ¹²C₅(0.65)⁵(0.35)⁷ + ¹²C₆(0.65)⁶(0.35)⁶ + ¹²C₇(0.65)⁷(0.35)⁵ + ¹²C₈(0.65)⁸(0.35)⁴

= 0.000003379 + 0.00007531 + 0.0007692 + 0.004762 + 0.01990 + 0.05912 + 0.1281 + 0.2039 + 0.2367

= 0.6533

Answer:

897

Step-by-step explanation:

I think it deleted my prior solution because I linked the Wikipedia article for the empirical rule... So to retype this:

We'll be using the empirical, or 68-95-97.5 rule of normal distributions which says that 68% of data in a normal distribution is within 1 standard deviation, 95% is within two, and 97.5% is within three. Graphical representations of the rule can be found online and may be helpful to understand it more easily.

The first part of the problem is relatively straightforward, to get the two pieces within one standard deviation, that's 68% of the total population of 1100. So, 0.68*1100=748.

The second part is a bit trickier, since it is just the part of the second standard deviation out that is above the mean. To get this, we need to think about the difference between one standard deviation out and two, percentage-wise. Since two standard deviations out is 95% of the data, the difference between one and two is 95%-68%, or 27% of the data. However, since we only want the upper half of that, we'll just be using 13.5%. So our second piece is 13.5% of 1100, or 148.5.

Add together our two pieces, 748+148.5=896.5 and round up to 897.

Answer:

90°

Step-by-step explanation:

Theres a right angke beside x

And Angles on a straight line = 180 so 180-90°= 90°

Answer:

90

Step-by-step explanation:

I looked it up on the internet

The answer is (180,80)

To solve this problem, we have to plot the graph, using a tool. This question relates to an inequality and graphical method is a reliable approach to solve inequality problem.

The given question is an inequality situation where we are asked to use graph to solve.

The data given are

The inequality for this problem is given is as

[tex]12x + 8y > 2500\\x + y < 280[/tex]

Kindly find the attached image as the graph and solution to this problem.

Learn more on graphically solution for inequality here;

https://brainly.com/question/24372553

#SPJ2

Answer:

Step-by-step explanation:

3x+4y = 17 _______ equation 1

-4x -7y= -18 _______ equation 2

muliply by 4 in equation 1

12x + 16y = 68 ______ equation 3

multiply by 3 in equation 2

-12x - 21y = -54 ________ equation 4

add equation 3 & 4

- 5y = 14

y = - 14/5

substitute y in equation 1

3x + 4 (-14/5) =17

3x = 17+ (56/5)

3x =( 85 + 56) / 5

3x = 141/5

x = 47/5

hence (a,b) = (47/5, -14/5)

Answer:

This is called an Inductive reasoning.

Step-by-step explanation:

It is a logical process in which a number of premises all believed true combine to come up with specific conclusions. This is a generalisation based on observations.

Hope it helps.

Answer:

69

Step-by-step explanation:

Since the values in the data set has been ranked already from smallest to largest, as shown in the question.

Then calculate the index,

To find the 36th percentile using the data set,

Multiply k (36/100) by n (25) to reach an index of 9.

Then since the index is whole number,

To calculate percentile according to the 'greater than' method, count the values in the data set from smallest to largest until you reach the number ranked 9th

Which is 69.

Since the value for the 36th percentile must be greater than the first nine values, the 10th ranked value would be the kth (36th) percentile. In this data set, that value is 69.

Alternatively, using the 'greater than or equal to' method, after getting the 9th rank,

Include the ninth-ranked value, (69) in this data set.

The kth (36th) percentile is then calculated by taking the average of that value in the data set (69) and the next ranked value (69). (59 + 69) / 2 = 69.

Answer:

8:3 is the ratio of kids to adults

32 kids, so there are 12 adults

Answer:

32 kids to 4 adults

Step-by-step explanation:

1st row- 8 kids to 3 adults

2nd row- 16 kids to 6 adults

3rd row- 24 kids to 9 adults

4th row- 32 kids to 12 adults

Answer:

Z > Zα

6.511 > 1.645

Step-by-step explanation:

                                 University A           University B

Sample Size                      50                        40

Average Purchase         $280                   $250

Standard Deviation         $20                     $23

We formulate

H0:   x1` > x2`  null hypothesis that the mean of the University A is greater than the mean of the University B

HA:  x1`≤ x2`   one tailed test

Test statistic

Z= x1`-x2`/ √s₁²/n₁ +s²₂/n₂

Z= 280-250/√400/50 + 529/40

Z= 30/√8 +13.225

Z= 30 /4.607

Z= 6.511

For one tailed test at α= 0.05 = 1.645

Z > Zα

6.511 > 1.645

Thus we reject null hypothesis.On the average, students at University A spend more on textbooks then the students at University B.

Answer: n = 2401

Step-by-step explanation:

Given;

Confidence level = 2% - 99%

n = ? ( which is the sample size is unknown ).

Solution:

Where;

n = [z/E]^2*pq

Since no known value for ( p ) estimate is given, the "least biased" estimate is p = 1/2

Substituting the given data into the formula.

n = [1.96/0.02]^2(1/2)(1/2)

n = 2401

The minimum number of truck drivers the statistician needs to sample for an accurate result is 2401

Answer:

1/5 cup

Step-by-step explanation:

Sugar: water

1             5

We want 1 cup water, so divide each side by 5

1/5 :  5/5

1/5 : 1

There is 1/5 cup sugar to 1 cup water

Answer:

A. Perimeter of segment = 49 in.

B. Area of segment = 52 in².

Step-by-step explanation:

Data obtained from the question include:

Radius (r) = 24 in.

Angle at the centre (θ) = 60°

Perimeter of segment =.?

Area of segment =.?

A. Determination of the perimeter of the segment.

Perimeter of segment = length of arc + length of chord

Length of arc = θ/360 x 2πr

Length of chord = 2r x sine (θ/2)

Pi (π) = 3.14

Length of arc = θ/360 x 2πr

Length of arc = 60/360 x 2 x 3.14 x 24

Lenght of arc = 25.12 in

Length of chord = 2r x sine (θ/2)

Length of chord = 2 x 24 x sine (60/2)

Length of chord = 24 in

Perimeter of segment = length of arc + length of chord

Perimeter of segment = 25.12 + 24

Perimeter of segment = 49.12 ≈ 49 in.

B. Determination of the area of the segment.

Area of segment = Area of sector – Area of triangle.

Area of sector = θ/360 x πr²

Area of triangle = r²/2 sine θ

Area of sector = θ/360 x πr²

Area of sector = 60/360 x 3.14 x 24²

Area of sector = 301.44 in²

Area of triangle = r²/2 sine θ

Area of triangle = 24²/2 x sine 60

Area of triangle = 249.42 in².

Area of segment = Area of sector – Area of triangle.

Area of segment = 301.44 – 249.42

Area of segment = 52.02 ≈ 52 in²

​

Answer: x^3 square root 39x

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer in fraction form = 9/8

Answer in decimal form = 1.125

note: the improper fraction 9/8 converts to the mixed number 1 & 1/8

To get this answer, we divide both sides by 8 to isolate n. The expression 8n really means "8 times n". We divide to undo the multiplication.

Answer:

It is 6. The student who got a two did not use order of operations.

Step-by-step explanation:

PEMDAS

You must do division before subtraction. 4/2 = 2.

8 - 2 = 6

Answer:  K = ¹/₃, V = 32in³

Step-by-step explanation:

Volume of s cylinder (V) = πr²h where πr² is the base area.

Now from the question,

V ∞ πr²h

V = kπr²h where k is the constant of proportionality which is also the variation constant.

40 = 6 x 20 x k

40 = 120k and

k   = ⁴⁰/₁₂₀

     = ¹/₃.

Now to find the volume when base area is 8in² and h is 12,

V = 8 x 12 x ¹/₃

V = 32in³

Each shell has radius [tex]x[/tex] and height [tex]x^3[/tex], so the volume of this solid is

[tex]\displaystyle2\pi\int_0^1x^4\,\mathrm dx=\boxed{\frac{2\pi}5}[/tex]

Answer:

24.24

Step-by-step explanation:

brainlist plzzzzzzzzzzz

Answer:

option (c) 4

Step-by-step explanation:

sides opposite to equal angles are equal

so ML = MN

that is 4x = x+3

4x - x = 3

3x = 3

x= 1

ML= 4x = 4*1 = 4 units

MN = x+3= 1+3= 4 units

so answer is option (c) 4

hope this answer help you

Answer:

A  (15/16)

D  (0.45)

E  (1/14)

F  (0)

Step-by-step explanation:

Allowable values for probabilities (p) are numbers greater than or equal to zero and smaller than or equal to one:

[tex]0\leq p\leq 1[/tex]

Therefore you can select answers:

A  (15/16)

D  (0.45)

E  (1/14)

F  (0)

Answer:

0, 1/2, 0.1, 15/16 are the answers

Step-by-step explanation: I don't think negative numbers count as a probability

Answer:

g(x)

Step-by-step explanation:

The vertex of g(x) as shwon in the graph is located in the point wich coordinates are (3.5,6.25) approximatively

We need to khow the coordinates of f(x) vertex

f(x) = -x² + 4x -5

let a be the leading factor, b the factor of x and c the constant:

The coordinates of a vertex are: ([tex]\frac{-b}{2a}[/tex] , f([tex]\frac{-b}{2a}[/tex]) )

-b/2a = -4/ (-1*2) = 4/2 = 2

f(2)= -2²+4*2-4 = -4+4-4 = -4

obviosly f(x) has a minimum wich less than g(x)'s maximum

Answer:

Step-by-step explanation:

g(x) i think

Answer:

left, 4 units

Step-by-step explanation:

This indicates a shift to the left of 4 units. We know that it's left because the +4 is in the exponent and, it's a +4 not -4.

Answer:

Monthly Loan Payment

Loan Amount (P) = $6,000

Monthly Interest Rate (n) = 0.75% per month [9.00% / 12 Months]

Number of months (n) = 36 Months [3 Years x 12 months]

Monthly Loan Payment = [P x {r (1+r)n} ] / [( 1+r)n – 1]

= [$6,000 x {0.0075 x (1 + 0.0075)36}] / [(1 + 0.0075)36 – 1]

= [$6,000 x {0.0075 x 1.308645}] / [1.308645 – 1]

= [$6,000 x 0.009815] / 0.308645

= $58.89 / 0.308645

= $190.80

Monthly Loan Amortization Schedule

“Therefore, the total interest paid during the first year will be $465.99”

HOPE this example helps

Answer:

The answer is "Option C."

Step-by-step explanation:

[tex]y=6x, \ \ y=x, \ \ , y=24,\\[/tex]

In this we calculate two points that are (0,4) and(4,24)

on[0,4]

shell radius=x

height  = 6x-x

            =5x

on[4,24]

shell radius=x

height  = 24x-x

6x=24

x=4

Calculating shell volume by shell method:

[tex]v=\int\limits^b_a {2\pi(radius) \cdot(height)} \, dx \\[/tex]

  [tex]=\int\limits^4_0 {2\pi(x) \cdot(5x)} \, dx +\int\limits^{24}_4 {2\pi(x) \cdot(24-x)} \, dx \\\\=\int\limits^4_0 {10\pi(x^2) dx +\int\limits^{24}_4 {2\pi x(24-x)} \, dx[/tex]

That's why the answer is "Option C".

Answer:

(2,0)

Step-by-step explanation:

From the information the first equation is y = 0.5 x  - 1 and the the line through (3,1) and (-5,-7) is  

y = x - 2  .   From those two equations you get

x - 2 = 0.5 x -1     and     x = 2  , y = 0.  So  it is the last point.   (2,0)

Answer:

D. (2,0)

Step-by-step explanation:

Answer:

h = 7 degrees

Step-by-step explanation:

To find h, we know that it is positive because it increases in value, not decreases:

h = 65 - 58

h = 7

Answer:

h = 7°F

Step-by-step explanation:

58 + h = 65

h = 65 - 58

h = 7

Check:

68 + 7 = 65

Answer:

A

Step-by-step explanation: