In one online store, 12 % 12%12, percent of the orders are placed by new customers. Let N NN be the number of orders placed in a day to reach the store's first new customer. Assume each order's customer status is independent. Find the mean and standard deviation of N NN.

Answer: 0.66 Feet

Step-by-step explanation: There are 2.54 centimeters in an inch and there are 12 inches in a foot.

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Since he has 15 vessels and needs to choose 5, we can use a combination of 15 choose 5 to calculate the number of possible ways, since the order of the vessels inside the group of 5 is not important.

The formula to calculate a combination of n choose p is:

Then, for n = 15 and p = 5, we have:

So there are 3003 ways to choose the 5 vessels.

Answer:

\(f(x) = \sqrt{x} + 2 \\ \\ g(x) = {x}^{2} + 1 \\ \\ f{g(x)} = \sqrt{ {x}^{2} + 1 } + 2 \\ \\ g{f(x)} = {( \sqrt{x} + 2 )}^{2} + 1\)

Answer:

You would use lbs.

Step-by-step explanation:

mm is a unit of distance.

Oz is too small of a unit for weight.

lbs are just right!

Sorry but you are cheating yourself but cheating in exams

I know but I will not say you real understand by yourself cheating is big than dying

the 2nd answer: 30÷1/60÷1=30/60

The ratio of the number of baskets scored by team A to the number of baskets by team B is 2: 5. Then the correct option is B.

In a basketball game, team B scored 5 baskets for every 2 that team A scored.

The utilization of two or more additional numbers that compares is known as the ratio.

Assume that Team A scored two baskets while Team B netted five.

The problem statement states that for every two baskets Team A scored, Team B scored five. This may be expressed as the ratio shown below:

Ratio = 2x : 5x

Ratio = 2: 5

Thus, the correct option is B.

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Answer:

  x = -9/2 or -5/3

Step-by-step explanation:

The given equation is recognizable as a quadratic in the expression (2x+4). It may be more easily solved by substituting a variable for that expression.

__

Let z = 2x+4. Then the equation becomes ...

  6z² = z +2

  6z^2 -z -2 = 0

This equation can be factored by finding factors of (6)(-2) that total -1.

  (6z -4)(6z +3)/6 = 0

  (3z -2)(2z +1) = 0 . . . . . eliminate the fraction

The values of z that make these factors zero are ...

  3z -2 = 0   ⇒   z = 2/3

  2z +1 = 0   ⇒   z = -1/2

The relation between x and z tells us ...

  z = 2x +4

  (z -4)/2 = x

For the values of z we have, the corresponding x-values are ...

  z = 2/3   ⇒   (2/3 -4)/2 = x = -10/6 = -5/3

  z = -1/2   ⇒   (-1/2 -4)/2 = x = -9/4

Solutions to the equation are x=-9/4 and x=-5/3.

_____

Additional comment

Alternatively, the equation could have been expanded to standard form and then factored.

  6(4x² +16x +16) = 2x +6

  24x² +94x +90 = 0 . . . . put in standard form

  12x² +47x +45 = 0 . . . . factor out 2

  (4x +9)(3x +5) = 0 . . . . factor (judged harder than the above factoring)

Answer:

5.4 lbs

Step-by-step explanation:

5.94 / 1.10 = 5.4

hope this helps! <3

Answer:

x=9.5

Step-by-step explanation:

Let  be the cost of each shirt. From the information provided in the problem, we can setup the following equation:

Solving for  will give us the answer:

GG

Step-by-step explanation:

The radius of the orbit is r = 1150 km + 6400 km = 7550 km or

\(r = 7.55×10^6\:\text{m}\)

and it takes 140 minutes to complete 1 revolution. This is the same aa

\(140\:\text{min}×\dfrac{60\:\text{s}}{1\:\text{min}} = 8400\:\text{s}\)

The linear speed of the satellite then is simply equal to the orbital circumference divided by the orbital period T or

\(v = \dfrac{2\pi r}{T}\)

\(\:\;\:\:=\dfrac{2\pi(7.55×10^6\:\text{m})}{8.4×10^3\:\text{s}}\)

\(\:\:\:\:=5647.4\:\text{m/s}\)

In km/min, this is

\(v = \dfrac{2\pi(7550\:\text{km})}{140\:\text{min}} = 338.8\:\text{km/min}\)

Answer:

24 square inches

Step-by-step explanation:

Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

The area of a figure is known to be the rate or the number of unit squares that is said to have cover the surface of a closed figure.

Note that the area is often measured in square units such as (cm²) and in the case above, the Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

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Answer: Quadratic

Step-by-step explanation:

1. The function can't be linear because the y goes down and up.

2. The function can't be constant because the y decreases and increases, instead of only increasing or decreasing.

3. The function can't be a exponential function because the value of y decreases and increases.

4. The only type that the function can be is quadratic.

Answer:

The answer is 0

Subtract cosine x from both sides of this equation.

sin(3x) + sin(x) - cos(x) = 0

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

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Answer:

110592 in³

Step-by-step explanation:

Since baggage should take the shape of a box; with the sum of it's dimension not exceeding 144 ;

Dimensions of a box : length, width, height

If ; l + w + h = 144

Greatest volume is obtained when the dimension is equal : such that l = w = h

Hence, each dimension becomes ; 144 / 3 = 48 in

Volume of box = length * width * height

Volume = 48 * 48 * 48

Volume = 48³ = 110592

Answer:

0.7 + 0.4 - 0.2 = 0.9

Step-by-step explanation:

Let's denote the probabilities as following:

The probability that the show had animals is

P(A) = 0.7

The probability that the show aired more than 10 times is

P(B) = 0.4

The probability that the show had animals and aired more than 10 times is

P(A⋂B) = 0.2

The probability that a randomly selected show had animals or aired more than 10 times is P(A⋃B)

The correct form of  addition rule to determine the probability that a randomly selected show had animals or aired more than 10 times is:

P(A⋃B) = P(A) + P(B) - P(A⋂B) = 0.7 + 0.4 - 0.2 = 0.9

=> Option B is correct

Hope this helps!

The answer is C)

The car travels 63 mph(Miles Per Hours).

252/4 = 63

378/6 = 63

504/8 = 63

630/10 = 63

Hope Helps you

The rate of change of traveling of the car is 63 miles every 1 hour.

A

Distance = 252 miles

Time = 4 hours

= 252 / 4

= 63 miles per hour

B

Distance = 378 miles

Time = 6 hours

= 378 / 6

= 63 miles per hour

C

Distance = 504 miles

Time = 8 hours

=504 / 8

= 63 miles per hour

D

Distance = 630 miles

Time = 10 hours

= 630/10

= 63 miles per hour

Therefore, the rate of change of traveling of the car is 63 miles every 1 hour

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Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.

Let's break down the function into its components:

u(x) = 8x³ + 2x⁴ (inside function)

v(u) = 4√u (outer function)

To find the derivative, we apply the chain rule, which states:

(f(g(x)))' = f'(g(x)) * g'(x)

In this case, f(g(x)) = v(u(x)), and g(x) = u(x).

First, let's find the derivative of the inner function u(x):

u'(x) = 24x² + 8x³ (using the power rule for differentiation)

Next, let's find the derivative of the outer function v(u):

v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u

Now, we can apply the chain rule:

f'(x) = v'(u(x)) * u'(x)

f'(x) = (2/√u) * (24x² + 8x³)

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

The derivative of the function is  (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

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Answer:

243 in^2

Step-by-step explanation:

9*9

Surface area of a side

81*3

The sides that are painted

Answer:

x= 142°

I hope it's helps you

Answer:

x = 142°

(x and 142° are vertically opposite angles.)

Answer:

area 1

Step-by-step explanation:

The product of the two linear functions is:

(fg)(x) =  8x^2 + 10x  - 3

A general linear funuction can be written as:

f(x)= a*x  +b

Let's say that our functions are:

f(x) = ax + b

g(x) = cx + d

The sum is:

(f + g)(x) = ax + b + cx + d = (a + c)x + (b + d)

(f - g)(x) = ax + b - cx - d  =(a - c)x + (b - d)

And we know that:

(f+g)(x)=-6x-2 and (f-g)(x)=-2x+4.

Then we can write:

(a + c)x + (b + d) = -6x - 2

(a - c)x + (b - d) = -2x + 4

Then we have 4 equations:

a + c = -6

b + d = -2

a  - c= -2

b - d = 4

Solving these we can get:

a = -4

c = -2

b = 1

d = -3

(you can check these values)

The two linear functions are:

f(x) = -4x + 1

g(x) = -2x - 3

The product is:

(fg)(x) = (-4x + 1)*(-2x - 3) = 8x^2 + 12x - 2x - 3

                                       = 8x^2 + 10x  - 3

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The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

From the question, we have the following parameters that can be used in our computation:

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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Answer:

5

Step-by-step explanation:

when c = 7,

substitute 7, into 35÷c

35 ÷ 7 = 5

The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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Answer:

60%

Step-by-step explanation:

\(\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100\)

Given:

Substituting these into the formula:

\(\implies \sf \left(\dfrac{24}{40}\right) \times 100=0.6 \times 100 = 60 \%\)

Therefore, 60% of the club members voted for Goran.

We can draw a picture so we have an idea on what the question is asking.

The question tells us that the circular region that is missing has a 85° degree and that the radius of the circle is 12 ft. Then, to solve the problem we need to calculate the area of the region. We can do it using the formula

where r is the radius of the region and theta is the angle of the region in radians.

In here we have r=12 and we also have the measure of the angle is degrees. So we need to transform the angle to radians. REcall that to transform and angle from degrees to radians, we should multiply it by pi and then divide id by 180°. Lets calculate the angle in radians in our case

Then the area of the circular region is

This is aproximately 8.901 square feet (taking an approximation of pi of 3.14159264)

Answer:

3,268,584

Step-by-step explanation:

1^12 is 1