What is the value of x in the solution to this system of equations 5x-4y=27

y=2x+3

The probability that the first person to say yes is the 7th customer is 0.00005

Here we are given that we need to find the probability of the first person to say yes to extending the automobile insurance beyond three years being the 7th customer.

This clearly follows a Geometric distribution since the variable of interest here is the no. of calls that need to be placed until we get out first "success."

PDF of Geometric distribution is as follows,

P(X = x) = pˣ (1 - p)⁽ˣ ⁻ ¹⁾

where,

x is no. of trials to get the first success

p = probability of a success

here,

p = 37%

=37/100

= 0.37

Therefore,

1 - p = 1 - 0.37

= 0.63

x = 7

Hence we get

P(X = 7) = 0.37⁷ 0.63⁶

= 0.00005

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Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

Hello,

Answer B

Step-by-step explanation:

\(C(x)=300*x^2+200*x\\\\R(x)=-0.5*x^3+900*x^2-500*x+400\\\\\\P(x)=R(x)-C(x)\\\\=-0.5*x^3+900*x^2-500*x+400-(300*x^2+200*x)\\\\=-0.5x^3+900x^2-300x^2-500x-200x+400\\\\=-0.5x^3+600x^2-700x+400\\\)

Answer:

C

Step-by-step explanation:

I'm in German 2 this year and tbh, a lot of Germans are pretty and it's an interesting class, but the language is not at all pretty or romantic.

Answer:

Step-by-step explanation:

7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis

7x -14 -3x -9 = 5x -15 +x , isolate like terms

7x -3x -5x -x = 14 +9 -15, combine like terms

-2x = 8, divide both sides by -2

x= -4

The expressions for the length and perimeter of the rectangle are (3x + 1) and (14x + 2) respectively.

For any rectangle, the area is calculated as;

Area of rectangle = length × width

given an area of 12x² + 4x and a width of 4x, the length is calculated as;

length of rectangle = (12x² + 4x)/4x

length of rectangle = 4x(3x + 1)/4x

length of rectangle = (3x + 1)

perimeter of the rectangle = 2[(3x + 1) + 4x]

perimeter of the rectangle = 2(7x + 1)

perimeter of the rectangle = 14x + 2

Therefore, the expressions for the length and perimeter of the rectangle are (3x + 1) and (14x + 2) respectively.

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Answer:

The area of a right-angled triangle is given by the formula A = (1/2)bh, where b is the length of the base and h is the length of the height. We are given that the area of the triangle is 42 cm^2, so we can write:

42 = (1/2)(x+3)(x+8)

Simplifying the right-hand side, we get:

84 = (x+3)(x+8)

Expanding the brackets, we get:

84 = x^2 + 11x + 24

Rearranging, we get:

x^2 + 11x - 60 = 0

We can factorize the left-hand side to get:

(x + 15)(x - 4) = 0

So either x + 15 = 0 or x - 4 = 0. Solving for x in each case, we get:

x = -15 or x = 4

Since the lengths of the base and height of the triangle must be positive, we can disregard the solution x = -15. Therefore, the length of the base is:

x + 3 = 4 + 3 = 7 cm

And the length of the height is:

x + 8 = 4 + 8 = 12 cm

So the base of the triangle is 7 cm and the height is 12 cm.

Answer:

120

Step-by-step explanation:

36+84=120 this easy .

Answer:

3:7

Step-by-step explanation:

=3:7 so 36+84 is equivalent of 3:8

!! how to solve for the x

6) to solve for x just simplify both equations and set it to 180; they are co-interior angles which is why they both add to 180.

12x-29 + 4x + 1

16x -28 = 180

16x = 208;

x = 13

8) 4x - 18 = 90;

4x = 108

x = 27

Answer:

x = 10

5x = 50

2x = 20

Step-by-step explanation:

This is a triangle, so all the angles will equal 180, so you can set up the equation like so:

110 + 5x + 2x = 180

COmbine like terms:

110 + 7x = 180

Subtract 110 from each side:

7x = 70

divide each side by 7:

x=10

Substitute to find the values of the angles:

5x

5 ( 10 )

50

2x

2 ( 10 )

20

Answer:

A: 8%

B: 6.33%

C:3.90%

Step-by-step explanation:

Answer:

The inequality can be written as 10 - 3x ≤ 61. Solving for x, we have:

3x ≥ -51

x ≥ -17

Using the normal distribution, it is found that:

a) 68.2% of standardized test scores are between 406 and 644.

b) 31.8% of standardized test scores are less than 406 or greater than 644.

c) 2.3% of standardized test scores are greater than 763.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

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

In this problem:

Item a:

The proportion is the p-value of Z when X = 644 subtracted by the p-value of Z when X = 406, hence:

X = 644:

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

\(Z = \frac{644 - 525}{119}\)

\(Z = 1\)

\(Z = 1\) has a p-value of 0.841.

X = 406:

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

\(Z = \frac{406 - 525}{119}\)

\(Z = -1\)

\(Z = -1\) has a p-value of 0.159.

0.841 - 0.159 = 0.682.

0.682 = 68.2% of standardized test scores are between 406 and 644.

Item b:

Complementary event to the one found in item A, hence:

1 - 0.682 = 0.318.

0.318 = 31.8% of standardized test scores are less than 406 or greater than 644.

Item c:

The proportion is 1 subtracted by the p-value of Z when X = 763, hence:

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

\(Z = \frac{763 - 525}{119}\)

\(Z = 2\)

\(Z = 2\) has a p-value of 0.977.

1 - 0.977 = 0.023

0.023 = 2.3% of standardized test scores are greater than 763.

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The cost of design A is $1587.6.

In Plan A,

Deck Measures 18 feet by 25 feet

Garden measures 9 feet by 12 feet

Area of Garden = 12 X 9 =108 square feet

Area of Deck (in Gray) = (18 X 25) - (12 X 9) =450-108 =342 square feet

Cost of Garden =$1.40 X 108=$151.2

Cost of Deck = $4.20 X 342=$1436.4

Total Cost for Plan A= $151.2+ $1436.4 = $1587.6

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The focal length of the lens is 20 cm. The image should be at 60 cm from the lens.

Given a plant placed 6 squares distant from a convex lens. Since the refracted rays are converging the given lens is a convex lens.

Here each square is 5 cm along the horizontal direction.

The ray from the top of the plant pass through the lens and cross the principal axis at a distance 4 squares from the lens.

Hence the focal length of the lens, f = 4 x 5 = 20 cm.

We have the lens formula for convex lens.

i.e., 1/f=1/v+1/u ,

where v is the distance of real image from the center of the lens, u is the distance of the object from the center of the lens and f the focal length of the lens.

Here, u = 6 x 5 = 30 cm

So in order to find where the real image is produced,

we have 1/v = 1/f - 1/u

Therefore, v = uf /u-f = 30 x 20 / 30-20 = 60 cm.

Thus the real image is formed at a distance of 60 cm from the center of the lens.

Your question was incomplete. Please check below the full content.

Figure 1 shows a small plant near a thin lens. The ray shown is one of the principal rays for the lens. Each square is 5.0 cm along the horizontal direction, but the vertical direction is not to the same scale. Use Information from the diagram to answer the following questions. What is the focal length of the lens? Calculate where the image should be.

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The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Using the domain and statement given above, we can write out this proposition as: (¬P(1) ∧ ¬P(2) ∧ ¬P(3)) which translates to "(1 ≥ √10 and 4 ≥ √10 and 9 ≥ √10)"Note: √10 is not a positive integer less than 4.

In this problem, P(x) is the statement "x2 < 10", and the domain consists of positive integers less than 4. We are to write out each of these propositions using disjunctions, conjunctions, and negations (i.e. rewrite the propositions without using quantifiers).a) ∃xP(x): This proposition is read as "there exists an x such that P(x) is true." Using the domain and statement given above, we can write out this proposition as: (P(1) ∨ P(2) ∨ P(3)) which translates to "(1 < √10 or 4 < √10 or 9 < √10)"b) ∀xP(x): This proposition is read as "for all x, P(x) is true." Using the domain and statement given above, we can write out this proposition as: (P(1) ∧ P(2) ∧ P(3)) which translates to "(1 < √10 and 4 < √10 and 9 < √10)"c) ∃x¬P(x): This proposition is read as "there exists an x such that P(x) is false." Using the domain and statement given above, we can write out this proposition as: (¬P(1) ∨ ¬P(2) ∨ ¬P(3)) which translates to "(1 ≥ √10 or 4 ≥ √10 or 9 ≥ √10)"d) ∀x¬P(x): This proposition is read as "for all x, P(x) is false." Using the domain and statement given above, we can write out this proposition as: (¬P(1) ∧ ¬P(2) ∧ ¬P(3)) which translates to "(1 ≥ √10 and 4 ≥ √10 and 9 ≥ √10)"Note: √10 is not a positive integer less than 4.

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The formula to find the tangent line to a curve at a given point is y = f'(x) (x - x₀) + f(x₀).

The derivative of the function, f'(x) is calculated at the given point, x₀. Then, the equation of the tangent line is found by substituting the x₀ and f'(x) values into the formula.

To find the tangent line to a curve at a given point, the formula for the slope of the tangent line must be used. The slope of a tangent line is equal to the derivative of the function at that point. The resulting equation is a line with a slope equal to the derivative of the function at the given point, and a y-intercept equal to the value of the function at the given point. For example, if you want to find the tangent line to the function f(x) = 4x² + 3 at the point (2, 19), the derivative of the function at that point is f'(x) = 8x = 8(2) = 16. Then, the equation of the tangent line is y = 16(x - 2) + 19.

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Answer:

a is equal to 6 feet and 3 inches

Step-by-step explanation:

Answer:

19 frisbees had cat pictures on them

Step-by-step explanation:

32 (total) - 13 (blue) = 19 (the cat ones)

Answer:

THERE ARE TOTAL 19 FRISBEES with CAT PICTURES.

Step-by-step explanation:

32 Frisbees were BOUGHT by TOBY.

1. The TEXT says 13 were blue.

We have already identified the amount of BLUE frisbees.

2. We CAN SUBTRACT the 13 blue from the ORIGINAL 32 frisbees.

32 - 13 = 19

THERE ARE TOTAL 19 FRISBEES with CAT PICTURES.

Answer:

the answer is 3 I think but am not sure of the workings

Answer: 2n - 64

Step-by-step explanation:

If the vairiable n describes the unknown number, and there is twice the number, then we can use the term 2n.

We also have 64 less then that number, and less means to subtract. Therefore, the equation is 2n - 64.

Answer:

2n-64

Step-by-step explanation:

I believe this is the correct answer (Not exactly sure to be honest)

Twice a number means to multiply by 2, so you use the variable (n) and multiply it by 2. For subtracting 64, I believe you usually put it after the (2n) portion of the equation. You may have to flip it though, equation order is important and it's been a while since I've done these so apologies if it's wrong! Good Luck!

We have to find the area under the graph but since we are not given the graph ,So let's learn how it is done. To estimate the area under the graph of function f from x, you can use rectangles. Here's how you can do it:

Step 1: Divide the interval [a, b] into six equal subintervals.
Step 2: Calculate the width of each rectangle by dividing the total width of the interval [a, b] by the number of rectangles (in this case, 6).
Step 3: For each subinterval, find the value of the function f at the right endpoint of the subinterval.
Step 4: Multiply the width of the rectangle by the value of the function at the right endpoint to find the area of each rectangle.
Step 5: Add up the areas of all six rectangles to estimate the total area under the graph of f from x.

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Answer: <less than >greater than ≥ greater than or equal to ≤ less than or equal to

Step-by-step explanation:

Answer:

GCF, Greatest Common Factor

Step-by-step explanation:

Hope this helped

ham by 60 percent :

i just dont

(a) The covariance for X and Y i.e., Cov(X,Y) = -0.01

(b) rho for X and Y is -0.00038 (rounded to two decimal places).

To compute the covariance of X and Y, we have the following formula:

Cov(X,Y) = E[XY] - E[X]E[Y]

Where E[X] and E[Y] represent the expected values of X and Y respectively, while E[XY] represents the expected value of the product of X and Y.

Now to compute the covariance:

XY: 0(0.03) + 5(0.04) + 10(0.01) + 5(0.15) + 10(0.15) + 15(0.02) + 20(0.2) + 30(0.1) + 15(0.13) + 30(0.01) = 8.2E[X] = 0(0.03+0.06+0.02+0.1) + 5(0.04+0.15+0.2+0.1) + 10(0.01+0.15+0.13+0.01) = 7.3E[Y] = 0(0.03+0.04+0.01) + 5(0.06+0.15+0.15) + 10(0.02+0.2+0.13) + 15(0.02+0.1) = 10.1

So Cov(X,Y) = E[XY] - E[X]E[Y] = 8.2 - 7.3(10.1) = -0.01

Therefore, Cov(X,Y) = -0.01

To compute the correlation coefficient, we have the formula:

ρ = Cov(X,Y) / (σ_xσ_y)

Where Cov(X,Y) is the covariance, σ_x is the standard deviation of X, and σ_y is the standard deviation of Y.

To find σ_x:

σ_x = sqrt[0(0.03+0.06+0.02+0.1) + 5(0.04+0.15+0.2+0.1) + 10(0.01+0.15+0.13+0.01) - (7.3)^2]σ_x = 4.25

To find σ_y:

σ_y = sqrt[0(0.03+0.04+0.01) + 5(0.06+0.15+0.15) + 10(0.02+0.2+0.13) + 15(0.02+0.1) - (10.1)^2]

σ_y = 6.48

So ρ = Cov(X,Y) / (σ_xσ_y) = -0.01 / (4.25)(6.48) = -0.00038

Therefore, rho = -0.00038 (rounded to two decimal places).

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