A smartphone cost 220%, the sales tax is 4% .what is the total cost including tax

The multiplication rule of probability is used to calculate the joint probability of two events.

This rule states that the probability of two events occurring together is equal to the probability of one event occurring, multiplied by the probability of the other event occurring, given that the first event has already occurred.

In mathematical terms, this can be written as P(A and B) = P(A) * P(B|A), where P(A) is the probability of event A occurring, P(B|A) is the probability of event B occurring given that event A has already occurred, and P(A and B) is the joint probability of events A and B occurring together.

The multiplication rule is used to calculate the probability of two events occurring together when the events are dependent on each other.

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Answer:

Step-by-step explanation:

The multiplication rule of probability is used to calculate the joint probability of two events. This rule states that the probability of two events occurring together is equal to the probability of one event occurring, multiplied by the probability of the other event occurring, given that the first event has already occurred.In mathematical terms, this can be written as P(A and B) = P(A) * P(B|A), where P(A) is the probability of event A occurring, P(B|A) is the probability of event B occurring given that event A has already occurred, and P(A and B) is the joint probability of events A and B occurring together. The multiplication rule is used to calculate the probability of two events occurring together when the events are dependent on each other.To know more about multiplication rule click here:brainly.com/question/29524604#SPJ11

The radius of the circle is 5 units.

To find the radius of the circle in the xy-plane with a center at (1, 5) and containing the point (4, 9), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, we have the center at (1, 5) and the point on the circle at (4, 9). Plugging these values into the distance formula, we get:

d = √((4 - 1)^2 + (9 - 5)^2)

= √(3^2 + 4^2)

= √(9 + 16)

= √25

= 5

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The mass of the ball is 278.1 g, the material used to make the ball must be brass which having density of 8.6 g/cm³.

To determine the material used to make the ball, we need to first calculate the volume of the ball.

The volume of a sphere with radius r is given by:

V = (4/3) * π * r^3

Plugging in the given values, we get:

V = (4/3) * π * (2 cm)^3

= (4/3) * π * 8 cm^3

= (4/3) * 8π cm^3

= 32π cm^3

We can then use the density of each material (given in g/cm³) to calculate the mass of the ball if it were made of that material:

Copper: 8.3 g/cm³ * 32π cm³ = 266.4 g

Brass: 8.6 g/cm³ * 32π cm³ = 275.2 g

Iron: 7.8 g/cm³ * 32π cm³ = 250.4 g

Since the mass of the ball is 278.1 g, the material used to make the ball must be brass.

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Answer:

x = 12

x = 7

Step-by-step explanation:

x - 2 = 10

The inverse of subtraction is addition so add 2 to 10

2 + 10 = 12

x = 12

x + 6 = 13

The inverse of addition is subtraction so subtract 6 to 13

6 - 13 = 7

x = 7

The green V function is | x- 4|, so then its necessary to elevate this funtion 2 units , at y axis, to find y = | x - 4| + 2

The value of ∭E (x² + y²) dv over the region E between the given spheres.

To evaluate the integral ∭E (x² + y²) dv using spherical coordinates, we first need to express the volume element dv in terms of spherical coordinates.

In spherical coordinates, the volume element is given by dv = r² sin(φ) dr dφ dθ, where r represents the radial distance, φ represents the polar angle, and θ represents the azimuthal angle.

Since we are integrating over the region E between the spheres x² + y² + z² = 9 and x² + y² + z² = 16, the limits of integration for r, φ, and θ will be as follows:

r: from the lower sphere to the upper sphere, which corresponds to r = 3 to r = 4

φ: from 0 to π (since we are considering the entire range of polar angle)

θ: from 0 to 2π (since we are considering the entire range of azimuthal angle)

Now, let's substitute these values and evaluate the integral:

∭E (x² + y²) dv = ∭E (r² sin(φ) cos²(θ) + r² sin(φ) sin²(θ)) dr dφ dθ

Integrating over θ from 0 to 2π, and integrating over φ from 0 to π, we have:

∭E (x² + y²) dv = ∫[0,2π] ∫[0,π] ∫[3,4] (r² sin(φ) cos²(θ) + r² sin(φ) sin²(θ)) dr dφ dθ

Now, we can evaluate the integral by performing the integration step by step, starting from the innermost integral.

After evaluating the integral, the final result will give us the value of ∭E (x² + y²) dv over the region E between the given spheres.

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The differential equation for the amount of salt a(t) in the tank at time t is da/dt = -100a/101.

The water input rate and solution output rate is 2 gal/ min. So the concentration of solution in tank is a/(200 + 2) at time t. So in next minute (t + 1), the amount of salt that leaves the tank is

(a/(200 + 2)) * 2 = a/101

So da/dt = a/ 101 - a = -100a/ 101

This equation models the rate of change of the amount of salt in the tank with respect to time, and it is a first-order linear ordinary differential equation because it is linear in the dependent variable a(t) and its derivative da/dt. The negative sign in front of the rate constant indicates that the amount of salt in the tank is decreasing over time due to the continuous outflow of the solution.

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Answer:

Exterior angle = 20 degrees

Interior angle = 160 degrees

================================================

Explanation:

The phrasing "Each exterior angle measure is one eighth the measure of each interior angle" means,

exterior = (1/8)*(interior)

That rearranges to

interior = 8*(exterior)

Let's say x is the measure of the unknown exterior angle. That makes 8x the measure of the interior angle

The two must add to 180 to form a straight line.

interior + exterior = 180

8x + x = 180

9x = 180

x = 180/9

x = 20 is the measure of the exterior angle

8x = 8*20 = 160 is the measure of the interior angle

Note how 160+20 = 180 to verify our answers.

The standard deviation of a data set provides information about the spread or dispersion of the data around the mean.

It helps to determine the percentage of normal distribution in the data. If the standard deviation is small, it indicates that the data is tightly clustered around the mean and a high percentage of the data falls within a few standard deviations of the mean. On the other hand, if the standard deviation is large, it suggests that the data is more spread out and a smaller percentage of the data falls within a few standard deviations of the mean.

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. So, the standard deviation provides insight into the proportion of data points that are close to the mean, and therefore, the shape of the distribution.

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Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

Answer:

difference is 12 units

Step-by-step explanation:

line shown has a y-intercept of -4

now find y-intercept of f(x) by first finding its slope:

(-2,0) and (2,-32)

m = (0+32)/(-2-2)

m = 32/-4

m = -8 (slope)

Now find the y-intercept (or 'b') from substituting into 'y=mx+b':

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

0 = 16 + b

-16 = b (y-intercept)

-16 - (-4) = -12

To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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AO in terms of P and/or Q is OA = Q = Q

OB in terms of P and/or Q is OB = P =Q

EB in terms of P and/or Q is EB = 2P =2Q

A hexagon, also known as a sexagon, is a six-sided polygon that forms the shape of a cube in geometry. Any basic hexagon has a total internal angle of 720°.

In a regular hexagon, all sides are equal

Which means:

AB= BC

5p + q -5p = 6p-5p

q = p

So, every side of the hexagon is p = q

Which means that AB = BC = CD = DE = EF = FA = p =q

Recall that at the center, each side forms an angle

There are six sides in a hexagon.

Total angle = 360°

6x= 360°

x= 60°.

By the symmetry of regular hexagon, OA = OB

<OAB = <OBA

<AOB = x = 60°

Sum of all angles in a triangle is 180°

We add the values

<OAB = 60°.

<OAB is an equilateral triangle, thus every side is equal

Hence,

a. OA = Q = Q

b. OB = P =Q

c. EB = 2P =2Q.

From the figure, <BOE= 180° which makes it a straight line.

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The solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

To solve the inequality -5x - 3 + 2x > -18, we need to isolate the variable x on one side of the inequality sign.

Starting with the given inequality:

-5x - 3 + 2x > -18

Simplifying the left-hand side by combining the like terms:

-3x - 3 > -18

Adding 3 to both sides:

-3x > -15

Dividing both sides by -3, and reversing the inequality sign since we are dividing by a negative number:

x < 5

Therefore, the solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

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Hello there!

2/15 is impossible to simplify because 15 isn't divisible by 2. Hope it helps!

#HaveAnAmazingDay

\(GraceRosalia\)

Answer:

215 5/8 ounces of juice

Step-by-step explanation:

In this case, when you have a subtraction of -7a^2 and then an addition of +10a^2, you can simplify the expression by adding the coefficients of the two terms that have the same literal and exponent.

So, you have:

-7a^2 + 10a^2

To add or subtract these terms, we need to have the same literal and exponent, which is the case here. The coefficients of the terms are -7 and 10, so we can add them to get:

-7a^2 + 10a^2 = 3a^2

Therefore, the simplified expression is 3a^2.

In summary, when you have terms with the same literal and exponent, you can add or subtract their coefficients to simplify the expression.

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

For the data of people who receive loans will not make payments on time, the probability that over 6% will not make timely payments is equals to the 0.0384. So, option(b) is right one.

We have a data of people who receive loan from bank based on past experience. Probability that people who receive loans will not make payments on time = 4% = 0.04

Number of approved loans = 300

We have to determine the probability that over 6% will not make timely payments. Now, Let X be a random variable represents the people who not make payments on time. There the probability distribution is follows the binomial distribution, \(X \: \tilde \: Binomial (n, p)\)

here, probability of success, P(X) = 0.04 and n = 300 and X = 0.06 × 300 = 18, so we can use Binomial Probability distribution formula, P(x, n, p) = ⁿCₓpˣ(1 - p)⁽ⁿ⁻ˣ⁾

So, probability that over 6% will not make timely payments, P(x > 18)

= ³⁰⁰C₁₈ p¹⁸(1 - p)⁽³⁰⁰⁻¹⁸⁾

= 0.0384

Hence, required probability is 0.0384.

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Answer:

58 degrees

Step-by-step explanation:

The linear equation in one variable is given by 2t-13t+5. Option B

An algebraic equation that has one variable and is linear has the following form:

ax + b = 0

where "a" is a constant that is not equal to zero, "x" is the variable, and "a" and "b" are constants. The equation shows the link between the variable "x" and the constants "a" and "b" as well as the unknown value that we are seeking to determine.

Hence, we can see that we would have the proper value for the one variable equation as 2t-13t+5 as shown in option b above.

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The marginal frequencies are 35 people have a limited data plan. 64 people have an unlimited data plan. 52 people use Company A. 47 people use Company B. 482 people were surveyed.

By dividing the sum or total of a row or the sum or total of a column by the overall number of observations in a dataset, the marginal relative frequency of a data set is determined. A two-way table is used to represent the dataset under consideration here. Both a decimal and a percentage value can be used to indicate the marginal relative frequency, though percentage values are typically preferred.

The total of the given table is:

78 + 94 + 175 + 135 = 482

From the given table of the data plan, we see that;

78 + 94 / 482 = 0.35 = 35 people have a limited data plan.

175 + 135/ 482 = 0.64 = 64 people have an unlimited data plan.

78 + 175 / 482 = 0.52 = 52 people use Company A.

94 + 135 / 482 = 0.47 = 47 people use Company B.

78 + 94 + 175 + 135 = 482 people were surveyed

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the correct answer is 4.05

The distribution is expected to be best described as Poisson.

This is because the occurrence of earthquakes is rare and unpredictable, but there is a certain rate at which they happen. The Poisson distribution models the number of events that occur within a specific time period, given a known rate of occurrence. Therefore, it would be appropriate to use this distribution to model the time of day that the next major earthquake occurs in Southern California.

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Yes, the function g(x) is continuous at x= 2.
To demonstrate this, we will use the definition of continuity. A function is continuous at x=a if ()=() and ′() exists and is finite.

For g(x) we can see that (2)=() is true because for x = 2, g(2) = 2*2-2 = 2 which is the same as the value of g(x) for any x (1/2x + 1 for x ≤ 2 and 2x -2 for x > 2).
We will now check if ′(2) exists and is finite. To do this, we will calculate the limit of g'(x) as x approaches 2.
g'(x) = {-1/2 for x ≤ 2, 2 for x > 2}
The limit of g'(x) as x approaches 2 is:
lim g'(x) = lim (2) = 2
Since the limit of g'(x) is finite, ′(2) exists and is finite.
Therefore, the function g(x) is continuous at x= 2.

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Answer:

1499

5

(Decimal: 299.8)

Step-by-step explanation: =

300

1

−

20

100

=

300

1

+

−20

100

=

300

1

+

−1

5

=

1500

5

+

−1

5

=

1500+−1

5

Answer:

26 minutes

Step-by-step explanation:

13:47=1 hour

Multiply by 2

26:94= 2 hours

The maximum profit Katie can earn is $85.

To find this, we need to use the vertex formula, which gives us the x-coordinate of the vertex of the parabola representing the profit function.

The formula is x = -b/2a, where a is the coefficient of the x-squared term (-1 in this case) and b is the coefficient of the x term (14 in this case). So, x = -14/(2*(-1)) = 7. Plugging this value into the profit function gives us P(7) = -7² + 14(7) + 57 = 85.

The profit function given is a quadratic function, which has a parabolic graph. The vertex of the parabola represents the maximum or minimum point of the function, depending on whether the leading coefficient is negative or positive. In this case, the leading coefficient is negative, so the vertex represents the maximum profit.

To find the x-coordinate of the vertex, we use the formula x = -b/2a, which gives us the value of x that makes the profit function equal to its maximum value. Once we have this value, we plug it back into the profit function to find the corresponding maximum profit. In this case, the maximum profit is $85.

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The maximum profit Katie can earn is $85.

To find this, we need to use the vertex formula, which gives us the x-coordinate of the vertex of the parabola representing the profit function.

The formula is x = -b/2a, where a is the coefficient of the x-squared term (-1 in this case) and b is the coefficient of the x term (14 in this case). So, x = -14/(2*(-1)) = 7. Plugging this value into the profit function gives us P(7) = -7² + 14(7) + 57 = 85.

The profit function given is a quadratic function, which has a parabolic graph. The vertex of the parabola represents the maximum or minimum point of the function, depending on whether the leading coefficient is negative or positive. In this case, the leading coefficient is negative, so the vertex represents the maximum profit.

To find the x-coordinate of the vertex, we use the formula x = -b/2a, which gives us the value of x that makes the profit function equal to its maximum value. Once we have this value, we plug it back into the profit function to find the corresponding maximum profit. In this case, the maximum profit is $85.

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