Your goal is to save at least $240.00 over the next 4 week. How much money must you save each week in order to meet that goal? Write and solve an inequality

Final answer:

To calculate the amount of cardboard used for each box, we need to find the surface area of the hexagonal base and the lateral surface area. We can use the formula for the surface area of a hexagon to find the base area. Then, we multiply it by the height of the box and add the two areas together.

Explanation:

To find the amount of cardboard used for each box, we need to calculate the surface area of the hexagonal base and the lateral surface area. The surface area of a hexagon can be found using the formula:

Surface Area = 3 x √3 x s^2

where s is the length of the side of the hexagon. Given that the side length is 39 cm, we can substitute this into the formula to find the surface area of the hexagonal base. Once we have the surface area, we can calculate the lateral surface area by multiplying it by the height of the box, which is 4.7 cm. Adding the two areas together will give us the total amount of cardboard used for each box.

Coordinate geometry is the use of a 2D plane to represent the location of points. The position or location of the distress is in the first quadrant.

The coordinates of ship A and B are not given. So, I will give a general explanation.

On the four cardinal points,

So, if ship A receives a distress from the northeast, then it means that the distress is coming from a location at the top right of A. i.e. the first quadrant.

Also, ship B receives distress from the west. This means that ship B is at the right-hand side of the distress.

So, we can conclude that the position or location of the distress is at the first quadrant.

It is impossible to determine the actual coordinates of the distress because the coordinates are not given (see attachment possible illustration)

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The standard deviation for the number of heads that will be tossed is [tex]\boxed{4.24}.[/tex]

Further Explanation:

The random variable X follows binomial distribution.

[tex]\boxed{X \sim {\text{Bin}}\left( {n,p} \right)}[/tex]

Here, n represents the total number of experiments and p denotes the probability of the event.

Apply central limit theorem.

[tex]\boxed{X \sim {\text{Normal}}\left( {np,np\left( {1 - p} \right)} \right)}[/tex]

The mean of the binomial distribution can be calculated as follows,

[tex]\boxed{{\text{Mean}} = n \times p}[/tex]

The standard deviation of binomial distribution can be calculated as follows,

[tex]\boxed{{\text{Standard deviation}} = \sqrt {np\left( {1 - p} \right)} }[/tex]

Given:

Coin is tossed 72 times.

Explanation:

Consider X is the random variable that head will occur.

The probability of head occur is [tex]p = \dfrac{1}{2}.[/tex]

The mean can be calculated as follows,

[tex]\begin{aligned}{\text{Mean}}&= 72\times \frac{1}{2}\\&= 36\\\end{aligned}[/tex]

The standard deviation of the number of heads can be calculated as follows,

[tex]\begin{aligned}{\text{Standard deviation}}&= \sqrt {72 \times \frac{1}{2}\left( {1 - \frac{1}{2}} \right)} \\&= \sqrt {72 \times\frac{1}{2} \times \frac{1}{2}}\\&=\sqrt{\frac{{72}}{4}}\\&= \sqrt {18}\\&= 4.24\\\end{aligned}[/tex]

Hence, the standard deviation for the number of heads that will be tossed is [tex]\boxed{4.24}.[/tex]

Learn more:

1. Learn more about normal distribution https://brainly.com/question/12698949

2. Learn more about standard normal distribution https://brainly.com/question/13006989

3. Learn more about confidence interval of mean https://brainly.com/question/12986589

Answer details:

Grade: College

Subject: Statistics

Chapter: Binomial Distribution

Keywords: coin, tossed 72 times, number of heads, binomial distribution, standard normal distribution, standard deviation, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, proportion, empirical rule.

Answer:

-14

Step-by-step explanation:

khan academy

Z= k/x

when x is 6, Z= 2

2=k/6

k=2*6

k=12

Z=12/X

when x = 13

Z=12/13

Z=0.923

Answer:

six divided by the square root of thirteen

Step-by-step explanation:

hey there,

< sin θ = [tex]\frac{O}{H}[/tex]

So that means O = 2 and H = 3. In order to find cot θ, first let's find tan θ.

tan θ = [tex]\frac{O}{B}[/tex]

We only know what O is equal to, not B. So let's draw out a triangle.

7  

◢   6

 B

As you can see (sorry for the poor triangle), this is a right triangle. In order to find an unknown part, use [tex]a^2 + b^2 = c^2[/tex]!

[tex]6^2 + B^2 = 7^2[/tex]

B = ±√13

Obviously, a side of a triangle can't be negative, so it stays positive. Now we can find tangent!

tanθ =  [tex]\frac{6}{\sqrt{13} }[/tex]

But, we're not done here. We're trying to find cotθ.

cotθ = [tex]\frac{1}{tan}[/tex]θ

[tex]\frac{1}{\frac{6}{\sqrt{13} } }[/tex] = [tex]\frac{\sqrt{13} }{6}[/tex]

That's your final answer! >

Hope this helped! Feel free to ask anything else.

Answer:

x= -6 is the point of discontinuity.

Step-by-step explanation:

We have been given the expression

[tex]\frac{x^2-16}{4x+24}[/tex]

The first thing to find the discontinuity is to factorize the given rational function:

After factorization  we get:

We will use [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]here, a=x\text{and}b=4[/tex] we will get:

[tex](x+4)(x-4)=x^2-4^2[/tex]

we will get:

[tex]\frac{(x+4)(x-4)}{4(x+6)}[/tex]

Discontinuity is the point where value of the function becomes not defined

Here, the point of discontinuity is -6 because when denominator becomes zero. function becomes not defined.

It has vertical asymptote but function is not defined.

Hence it is the point of discontinuity.

The expression -3(6.3x + 7y - 2.5) expands to -18.9x - 21y + 7.5 using the distributive property by multiplying each term inside the parentheses by -3.

To use the distributive property to expand the expression -3(6.3x + 7y - 2.5), you multiply each term inside the parentheses by -3. The distributive property lets you reverse the distributive law and turn it into factors (multiples).

-3 × 6.3x = -18.9x
-3 × 7y = -21y
-3 ×-2.5 = 7.5

Once each term is multiplied, the expanded expression is:   -18.9x - 21y + 7.5

Bella's actual room dimensions are 18 feet by 12 feet, resulting in an actual area of 216 square feet. This was determined by applying the scale factor from the drawing to the actual room size.

To determine the actual dimensions of Bella's room based on her drawing, we first need to use the provided scale factor. According to the scale, 1 inch on the drawing is equal to 3 feet in actual size. We can calculate the actual dimensions by multiplying the length and width of the drawing by the scale factor.

The drawing is 6 inches long by 4 inches wide.

Actual length: 6 inches × 3 feet/inch = 18 feet

Actual width: 4 inches × 3 feet/inch = 12 feet

Now, to determine the actual area of Bella's room, we multiply the actual length by the actual width:

Actual area = actual length × actual width

Actual area = 18 feet × 12 feet = 216 square feet

To drive 500 miles, taking into account both driving time and oil stop time, it would take 11 hours and 15 minutes.

The degree of a monomial is the sum of the exponents of the variables.

For example:

monomial: 257 x^3 y^5 z^21.

The degree is the sum of the exponents of x, y and z, this is 3 + 5 + 21 = 29.

When a monomial is just a number, it means that the exponents of the variables are zero. For example:

- 9 x^0 y^0 z^0 = - 9 * 1 * 1 * 1 = - 9.

This is your case, the monomial -9 has degree 0, which is the option B.

Answer:

t=30      f=10

Step-by-step explanation:

t= 100*1 - 40*4      = 30

       2*1 - 1*4

f= 2*40 - 1*100      = 10

     2*1  - 1*4

t=30         f=10

There are 30,240 codes that are possible which consist of five digits (0 through 9).

A permutation is defined as a mathematical process that determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

There are 10 options for each of the 5 digits in the personal identification code (0 through 9). Since the order of the digits matters, we can use the formula for the number of permutations of n items taken r at a time, which is:

n!/(n-r)!

In this case, n is the number of options (10) and r is the number of items (5). Plugging these values into the formula gives us:

10!/(10-5)! = 10!/(5!) = 109876 = 30,240

Therefore, the correct answer is (d) 30,240.

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Answer:

The Answer Is 1/4

Step-by-step explanation:

Ur brain xd

Answer:

The correct equation is [tex]-3.7n-4=-11.9[/tex]

Step-by-step explanation:

Let

n-------> the number

we know that

The equation that represent the expression “four less than [tex]-3.7[/tex] times a number is [tex]-11.9[/tex] " is equal to

[tex]-3.7n-4=-11.9[/tex]  

The equation that Daniella wrote represents the expression "[tex]-3.7[/tex] less than four times a number is [tex]11.9[/tex] "

Answer:

The coefficient of the variable should be -3.7 because of the word “times.” The words “four less than” mean that 4 will be subtracted from 3.7n. “Is” represents the equals sign, and “-11.9” is the second expression. The correct equation is -3.7n – 4 = -11.9.

Step-by-step explanation:

Edg math