What is the additive inverse of the complex number 9-412
-9-41
-9 +41
9 - 41
9 + 41

The height of the sand in the display container is 12 inches when the display container is right triangular prism.

What is right triangular prism ?

A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.

To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.

The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:

\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)

Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.

Then, the volume of the display container is:

\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)

where (1/2) is the area of the triangle base of the display container.

Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:

216 = 18H

H = 12 inches

Therefore, the height of the sand in the display container is 12 inches.

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Answer:

1/6(0.16), 3/14(0.21), 2/7(0.28), 1/3(0.33)

Step-by-step explanation:

Your answer should be: \(\frac{1}{6} < \frac{3}{14} < \frac{2}{7} < \frac{1}{3}\)

Otherwise known as \(\frac{1}{6}, \frac{3}{14}, \frac{2}{7}, \frac{1}{3}\)

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Hope this helps!

Have a great day and God bless! :)

Answer:

If you had a random sample of 98 vehicles instead of 220.

If you created a 99% confidence interval instead of the 95% confidence interval.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is given by:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

This means that a higher confidence level(higher value of z) leads to a larger margin of error, and a larger sample(higher value of n) leads to a lower margin of error.

Select all of the following which would produce a confidence interval with a larger margin of error.

Higher confidence level or smaller sample. So the correct options are:

If you had a random sample of 98 vehicles instead of 220.

If you created a 99% confidence interval instead of the 95% confidence interval.

The best interpretation of the 99% confidence level for the mean sugar content of the shipment is given as follows:

(D) If we constructed many, many confidence intervals from random samples of this size, 99% of the intervals we constructed would capture the population mean.

It means that it is x% likely that the population parameter(mean/proportion/standard deviation) is between a and b, which are the bounds of the confidence interval.

This also means that over a large number of intervals, x% would contain the population parameter.

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Answer:

10 1/18

Step-by-step explanation:

3 2/6 + 8 2/9 - 1 1/2 = ?

First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.

3 6/18 + 8 4/18 - 1 9/18 = ?

Now, we solve.

3 6/18 + 8 4/18 - 1 9/18 = 10 1/18

Answer:

15

Step-by-step explanation:

Answer: It would be the first one (20 pens for 8$)

Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.

When given this kind of composite figures, what we have to do is split it into individual figures. In this case, we would have a cylinder and half a sphere.

For the cylinder:

Remember that the formula for the volume of a cylinder is:

Where r is the radius of the base and h is the height of the cylinder.

Using this and the data given, we get that:

The volume of the cyllinder is 282.74 cubic inches.

For the semisphere:

Remember that the formula for the volume of a sphere is:

Now, notice that we have half a sphere, so the formula we'll use is:

This way,

Adding up both volumes,

This way, the volume of the composite figure, rounded to the nearest hundredth is 336.29 cubic inches

a. The value of P(2) is 0.022

b. The value of P(2 or fewer) is 0.027

From the question; n = 15, p = 0.4

a. We have to determine P(2).

P(X = x) = ⁿCₓ·Pˣ·(1 - P)ⁿ⁻ˣ

P(X = 2) = ¹⁵C₂·(0.4)²·(1 - 0.4)¹⁵⁻²

We can write ⁿCₓ = \(\frac{n!}{x!(n - x)!}\)

P(X = 2) = \(\frac{15!}{2!(15 - 2)!}\) · (0.16) · (0.6)¹³

P(X = 2) = \(\frac{15\times14\times13!}{2\times1\times13!}\) · (0.16) · (0.6)¹³

P(X = 2) = (15 × 7) · (0.16) · (0.6)¹³

After simplification

P(X = 2) = 0.022(approx)

b. We have to determine P(2 or fewer).

P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x ≤ 2) = ¹⁵C₀·(0.4)⁰·(1 - 0.4)¹⁵⁻⁰ + ¹⁵C₁·(0.4)¹·(1 - 0.4)¹⁵⁻¹ + ¹⁵C₂·(0.4)²·(1 - 0.4)¹⁵⁻²

After simplification like above

P(x ≤ 2) = 0 + 0.005 + 0.022

P(x ≤ 2) = 0.027

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Answer:

4

Step-by-step explanation:

because if you count how many numbers are from 0-4 you get 4 but if you count from 0 to -3 youget three

Answer:

the answer for this question is 4

Step-by-step explanation:

The equation for x is:

solving for x we have:

Therefore, x=19°

No because root(3)(x+8+1) is equal to x^3 -9 and (x-1)^3+8 is equal to root (3)(√x−8−1)

Answer:

yes!! brainliest please?

Step-by-step explanation:

The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer: B) 3x+12=18; Distributive Property

F) 3x=6; Simplify

Step-by-step explanation:

Answer:

D 4.24

Step-by-step explanation:

Assume the area of room be A

Irina painting speed be x, 8x = A

Paulo painting speed be y, 9y = A

Together painting speed = x + y = A/8 + A/9

Assume together painting time = t

(A/8 + A/9) t = A

(1/8 + 1/9)t = 1

17t = 72

t = 4.24

Answer:

Step-by-step explanation:

10 + 8x =10003

8x = 10003 - 10

8x = 9993

X = 9993 ÷ 9

Step-by-step explanation:

Rearrange = 10 + 8 x =10003

                      8x + 10 = 10003

 subtract both= 8x + 10 = 10003

                          8x + 10 -10= 10003-10

 simplify=  subtract the number  8x = 999

Divide the both number = 8x = 9993

                                         8x/8 =993/8

And them simplify it again = x = 9993/8

Answer:1/6

Step-by-step explanation:

The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

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Answer:

\(1)\ \ 4h^2-13h+6\\2)\ \ 7x^3y^2-x^2y+1\\3)\ \ -7n+2\\4)\ \ -8m+4\)

Step-by-step explanation:

1.

Simplify the expression by combining like terms. Remember, like terms have the same variable part, to simplify these terms, one performs operations between the coefficients. Please note that a variable with an exponent is not the same as a variable without the exponent. A term with no variable part is referred to as a constant, constants are like terms.

\(2h^2-7h+2h^2-h+6+4h-9h\)

\((2h^2+2h^2)+(-7h-h+4h-9h)+(6)\)

\(4h^2-13h+6\)

2.

Use a very similar method to solve this problem as used in the first. Please note that all of the rules mentioned in the first problem also apply to this problem; for that matter, the rules mentioned in the first problem generally apply to any pre-algebra problem.

\(8x^3y^2-7x^2y+8x-4-x^3y^2+2x^2y+4x^2y-8x+5\)

\((8x^3y^2-x^3y^2)+(-7x^2y+2x^2y+4x^2y)+(8x-8x)+(-4+5)\)

\(7x^3y^2-x^2y+1\)

3.

Use the same rules as applied in the first problem. Also, keep the distributive property in mind. In simple terms, the distributive property states the following (\(a(b+c)=(a)(b)+(a)(c)=ab+ac\)). Also note, a term raised to an exponent is equal to the term times itself the number of times the exponent indicates. In the event that the term raised to an exponent is a constant, one can simplify it. Apply these properties here,

\(-2(8n+1)-(5-9n)+3^2\)

\(-2(8n+1)-(5-9n)+(3*3)\)

\(-2(8n+1)-(5-9n)+9\)

\((-2)(8n)+(-2)(1)+(-)(5)+(-)(-9n)+9\)

\(-16n-2-5+9n+9\)

\((-16n+9n)+(-2-5+9)\)

\(-7n+2\)

4.

The same method used to solve problem (3) can be applied to this problem.

\(\frac{1}{2}(10-8m+6m^2)-(3m^2+4m-7)-2^3\)

\(\frac{1}{2}(10-8m+6m^2)-(3m^2+4m-7)-(2)(2)(2)\)

\((\frac{1}{2})(10)+(\frac{1}{2})(-8m)+(\frac{1}{2})(6m^2})+(-)(3m^2)+(-1)(4m)+(-1)(-7)-8\)

\(5-4m+3m^2-3m^2-4m+7-8\)

\((-3m^2-3m^2)+(-4m-4m)+(5+7-8)\)

\(-8m+4\)

Answer:

The answer is B

Step-by-step explanation:

1B, 2D, 3C, 4A

on Edge this is the correct answer

Brainliest would be awesome

Answer:

A

Step-by-step explanation:

\(\dfrac{f(x)}{g(x)}=\dfrac{x+1}{x^{2}-x}\\f(x) = \dfrac{x+1}{x^{2}-x}*g(x)\\\\\dfrac{2}{x}*\dfrac{x^{2}-x}{x+1}=g(x)\\\\\\\dfrac{2}{x}*\dfrac{x(x-1)}{x+1}=g(x)\\\\\\\dfrac{2(x-1)}{x+1}=g(x)\\\\\\)

Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

The translation form of each shape is given as follows:

a) X to Z: (x, y) -> (x + 5, y + 2).

b) Z to X: (x, y) -> (x - 5, y - 2).

The four translation rules are defined as follows:

For the composition of translations, we add the coordinates, hence:

Hence the rule from X to Z is given as follows:

(x, y) -> (x + 5, y + 2).

From Z to X, we have the inverse rule, hence:

(x, y) -> (x - 5, y - 2).

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Answer:

A

Step-by-step explanation:

x = 0

y = -3

Answer:

My best bet is (0,-3) sorry if I'm wrong

(a) The probability that a call is classified as long (L) is \($P[L] = 1 - P[B_3] = 1 - \alpha (1-\alpha)^2 = 0.829$.\)

(b) The probability that a call will be billed for nine minutes or less is

\(P[B1] + P[B2] + P[B3] + P[B4] + P[B5] + P[B6] + P[B7] + P[B8] + P[B_9] = \alpha + \alpha(1-\alpha) + \alpha(1-\alpha)^2 + \alpha(1-\alpha)^3 + \alpha(1-\alpha)^4 + \alpha(1-\alpha)^5 + \alpha(1-\alpha)^6 + \alpha(1-\alpha)^7 + \alpha(1-\alpha)^8 = 0.958\)

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is expressed as a number from 0 to 1, with 0 indicating that an event is impossible and 1 indicating that it is certain to occur. Probability is used to calculate the chance of a random event happening or to predict the outcome of a situation. Probability theory is also used to describe the underlying mechanics and dynamics of random phenomena

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Complete question:

For the telephone usage model of Example 1.18, let \($B_m$\) denote the event that a call is billed for $m$ minutes. To generate a phone bill, observe the duration of the call in integer minutes (rounding up). Charge for M minutes \($M=1,2,3, \ldots$\) if the exact duration T is \($M-1 < t \leq M$\). A more complete probability model shows that for $m=1,2, \ldots$ the probability of each event \($B_m$\) is

\($$P\left[B_m\right]=\alpha(1-\alpha)^{m-1}$$\)

where \($\alpha=1-(0.57)^{1 / 3}=0.171$\)

- BRAINLIEST answerer

Step-by-step explanation:

Hope it helps....

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