Please help my loves !!

To calculate the amount Briana saved by purchasing a backpack with a sales promotion, we need to find the difference in prices between the two backpacks after applying the respective discounts.

For the first backpack that originally costs $45 with a sales promotion of 20% off:

Discounted price = $45 - (20% * $45) = $45 - $9 = $36

For the second backpack that originally costs $42 with a sales promotion of 10% off:

Discounted price = $42 - (10% * $42) = $42 - $4.2 = $37.8

Now we can calculate the savings:

Amount saved = Original price - Discounted price

Amount saved = $42 - $37.8 = $4.2

Therefore, Briana saved $4.2 by purchasing the backpack that cost $45 with a 20% off promotion instead of the backpack that cost $42 with a 10% off promotion.

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The probability that at least one party will request a high chair is 0.2626

This is a binomial problem with number of trial (n) = 10, probability of success (p) = 0.03

Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:

Given: n = 10, p = 0.03, x ≥1

probability of failure (q) = 1 - 0.03 = 0.97

The probability that at least one party will request a high chair will be:

P(x ≥1 ) = 1 - P (x = 0)

P(x ≥1 ) = 1 - (1 × 0.03⁰ ×  0.97¹⁰⁻⁰)

P(x ≥1 ) = 1 - (1 × 1 × 0.97¹⁰)

P(x ≥1 ) = 1 -  (0.97¹⁰)

P(x ≥1 ) =  0.2626

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Corrected Question

When hugo is serving at a restaurant, there is a 0.03 probability that each party will request a high chair for a young child. During one hour, hugo served 10 parties. Assuming that each party is equally likely to request a high chair, what is the probability that at least one party will request a high chair?

Answer:

125%

Step-by-step explanation:

80/100=8

80*x=100

100/80=1.25

1.25*100=125

x=125%

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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Answer:

(-1,4)

Step-by-step explanation:

mp=xi+xii/2,yi+yii/2

7+-9/2=-1

0+8/2=4

=(-1,4)

Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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The most important part of the design cycle is the "Iteration" phase.

In this phase, the designer goes back and forth between testing and evaluating the design, making changes, and testing again until the desired outcome is achieved.

In mathematical terms, the iteration phase can be seen as an optimization process, where the designer seeks to minimize the difference between the desired and actual outcomes.

This phase is crucial because it allows the designer to identify and resolve any issues with the design, ensuring that the final product is functional and meets the desired specifications.

In conclusion, the iteration phase of the design cycle is essential for ensuring that the final design is effective, efficient, and meets all the requirements. The designer must repeat this phase multiple times to achieve the desired outcome and ultimately improve the overall design.

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Answer:

6

Step by step explanation

The probability of drawing 1 black pencil and 2 yellow pencils without replacement is 0.035714.

The probability of drawing 1 black pencil and 2 yellow pencils without replacement can be calculated by multiplying the individual probabilities of drawing each pencil.

The first step is to calculate the probability of drawing a black pencil which is 5/8. Then, the probability of drawing the first yellow pencil is 4/7 and the probability of drawing the second yellow pencil is 3/6.

To find the probability of drawing all three pencils, you multiply these three probabilities together:

5/8 × 4/7 × 3/6 = 0.035714.

This result represents the probability of drawing 1 black pencil and 2 yellow pencils in that order without replacement.

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The total deductions and taxes are: $53.84 + $18.16 + $18.31 + $5.67 = $96.98

As an employee, with a weekly income of $358.94 and assigned to claim code 1 in British Columbia, the total deductions and taxes are:

Federal income tax (15%) = $53.84

Provincial income tax (5.06%) = $18.16CPP (5.1%) = $18.31EI (1.58%) = $5.67The total deductions and taxes = $96.98Explanation:In British Columbia, the federal and provincial tax rate is calculated by adding the two tax percentages together. For example, if the federal tax rate is 15% and the provincial tax rate is 5.06%, the total tax rate is 20.06%.

To calculate the federal income tax, multiply the total income by the federal tax rate: 358.94 x 0.15 = $53.84

To calculate the provincial income tax, multiply the total income by the provincial tax rate: 358.94 x 0.0506 = $18.16To calculate CPP, multiply the total income by the CPP percentage rate: 358.94 x 0.051 = $18.31

To calculate EI, multiply the total income by the EI percentage rate: 358.94 x 0.0158 = $5.67

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An equation represents the slope-intercept form of the given line is y= 1/2 x+8. Therefore, option D is the correct answer.

Given that, y-intercept = (0, 8) and slope = 1/2.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Substitute m=1/2 and c=8 in y=mx+c, we get

y= 1/2 x+8

Therefore, option D is the correct answer.

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The first thing you would do is add all the numbers to get the total budget : $1500

Next you would calculate the present to get : 24.2% or just 24% if your rounding

Answer:

  15

Step-by-step explanation:

Each bracelet takes 28+10 = 38 elastic bands. If you have 600 bands, you can make ...

  600/38 = 15 30/38 . . . bracelets

You can make 15 complete bracelets.

__

You will have 30 elastic bands left over.

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Answer:

8.2

Step-by-step explanation:

The sphere equation x^2 + y^2 + z^2 = 6z becomes:
ρ^2 = 6ρcos(φ)
The cone equation z = √(x^2 + y^2) becomes:
ρcos(φ) = ρsin(φ)
So, the solid lies within the region described by the inequalities:
ρ ≤ 6cos(φ) and ρcos(φ) ≥ ρsin(φ)
These inequalities, along with 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π, define the solid in spherical coordinates.

To describe the solid in terms of inequalities involving spherical coordinates, we first need to convert the given equations to spherical coordinates. In spherical coordinates, we have:

x = r sinθ cosϕ
y = r sinθ sinϕ
z = r cosθ

Substituting these values in the given equations, we get:

r² sin²θ cos²ϕ + r² sin²θ sin²ϕ + r² cos²θ = 6r cosθ
r cosθ = r² sin²θ cos²ϕ + r² sin²θ sin²ϕ

Simplifying these equations, we get:

r = 6 cosθ / (sin²θ cos²ϕ + sin²θ sin²ϕ + cos²θ)^(1/2)
r cosθ = r² sin²θ

Now, the solid lies inside the sphere x2 + y2 + z2 = 6z, which in spherical coordinates becomes:

r² = 6 cosθ

And the solid also lies outside the cone z = x2 y2, which in spherical coordinates becomes:

r cosθ >= r^4 sin^2(θ) cos^2(ϕ) + r^4 sin^2(θ) sin^2(ϕ)
r >= r^3 sin^2(θ) (cos^2(ϕ) + sin^2(ϕ))
r >= r^3 sin^2(θ)

Combining these inequalities, we get the description of the solid in terms of inequalities involving spherical coordinates:

r >= r^3 sin^2(θ) >= (6 cosθ)^(1/2)

This represents the solid that lies inside the sphere x2 + y2 + z2 = 6z and outside the cone z = x2 y2, in terms of inequalities involving spherical coordinates.

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Answer: 117 degrees

Step-by-step explanation:

Answer:

Cost of the tires in 2008 = 23333 dollars

Step-by-step explanation:

Number of snow tires purchased are represented by,

T = \(\frac{500(t+20)}{(t+75)}\)

Where t = duration from year 2000

Similarly, cost of the tires area represented by,

C = \(\frac{t+75}{1-.05t}\)

Therefore, cost of T tires = C × T

= \(\frac{t+75}{1-.05t}\) × \(\frac{500(t+20)}{(t+75)}\)

= \(\frac{500(t+20)}{1-0.05t}\)

Now cost of the tires in year 2008 (t = 8 years)

Total cost = \(\frac{500(8+20)}{(1-0.05\times 8)}\)

                 = \(\frac{14000}{0.6}\)            

                 = $23333.3

                 ≈ 23333 dollars

Answer: it would be about 1:30pm

Step-by-step explanation:

Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

The unconditional mean E(Y) of the autoregressive model AR(1) is 10.5.

To compute the unconditional mean E(Y) of the autoregressive model AR(1) given by 1.05 + 0.9Y + ε, we can use the property of linearity in expectation and solve for the mean value.

The model can be rewritten as:

Y = (1.05 + ε) / (1 - 0.9)

Since ε follows a normal distribution with mean 0 and variance 0.01, we know that E(ε) = 0.

Using the linearity of expectation, we can compute the unconditional mean E(Y) as follows:

E(Y) = E((1.05 + ε) / (1 - 0.9))

= (1.05 + E(ε)) / (1 - 0.9)

= 1.05 / (1 - 0.9)

= 1.05 / 0.1

= 10.5

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The system of equations is.

x + y = 80

12x + 10y = 900

And the solutions are y = 30 and x = 50

Let's define the two variables:

x = number of calculators.

y = number of calendars.

With the given information we can write two equations, then the system will be:

x + y = 80

12x + 10y = 900

Now let's solve it.

We can isolate x on the first equation to get:

x = 80 - y

Replace that in the other equation to get:

12*(80 - y) + 10y = 900

-2y = 900 - 960

-2y = -60

y = -60/-2 = 30

Then x = 50

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Answer:720

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

Answer:

g(x)=x+9

Step-by-step explanation:

When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x

therefore, g(x)=x+9

Answer:

g(x)=x-8

Step-by-step explanation:

-2+2 = 0, so g(x) = x

5-13 = -8