7/8th grade math please help!

Answer:

76.62 you might need to round though

Step-by-step explanation:

The mean of the number of drivers expected not to be wearing seatbelts is approximately 4.35, the variance is approximately 15.62, and the standard deviation is approximately 3.95 and they expect to stop approximately 4.35 cars before finding a driver whose seatbelt is not buckled.

a. To find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts, we can model the situation using a geometric distribution.

Let's define a random variable X that represents the number of cars stopped until the first driver without a seatbelt is found. The probability of a driver not wearing a seatbelt is given as p = 0.23.

The mean (μ) of a geometric distribution is given by μ = 1/p.
μ = 1/0.23 ≈ 4.35

The variance (σ^2) of a geometric distribution is given by σ^2 = q/p^2, where q = 1 - p.
σ^2 = (0.77)/(0.23^2) ≈ 15.62

The standard deviation (σ) is the square root of the variance.
σ = √(15.62) ≈ 3.95


b. The expected number of cars they expect to stop before finding a driver whose seatbelt is not buckled is equal to the reciprocal of the probability of success (finding a driver without a seatbelt) in one trial. In this case, the probability of success is p = 0.23.

Expected number of cars = 1/p = 1/0.23 ≈ 4.35

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The value of EF is 26

A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord's endpoints.There is minor segment and major segment.

Since the two arcs are equal, i.e arc EF = arc CD, therefore,

chord EF = chord CD

9x-1 = 41 - 5x

collecting like terms

9x +5x = 41+1

14x = 42

divide both sides by 14

x = 42/14

x = 3

Therefore EF = 41-5x

= 41-5×3

= 41-15

= 26

therefore the value of EF is 26

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a) It takes 350 cubic centimetres to fill the rectangular prism.

b) The capacity of the rectangular prism is 350 cm³.

c) It takes 340 square centimetres to cover the rectangular prism.

d) The rectangular prism contains 350 cm³.

a) We need to find the volume of the rectangular prism to determine how much it takes to fill it. The following formula provides the volume:

V = l × w × h

where the prism's length, breadth, and height are indicated by l, w, and h, respectively.

Substituting the given values, we get:

V = 5 cm × 7 cm × 10 cm

V = 350 cm³

Therefore, it takes 350 cubic centimetres to fill the rectangular prism.

b) The capacity of the rectangular prism is the same as its volume, which we calculated in part (a) to be 350 cm³.

c) To cover the rectangular prism, we need to find its surface area. The following formula determines a rectangular prism's surface area:

SA = 2lw + 2lh + 2wh

where the prism's length, breadth, and height are indicated by l, w, and h, respectively.

Substituting the given values, we get:

SA = 2(5 cm × 7 cm) + 2(5 cm × 10 cm) + 2(7 cm × 10 cm)

SA = 340 cm²

Therefore, it takes 340 square centimetres to cover the rectangular prism.

d) The rectangular prism contains the same amount of volume as its capacity, which we calculated in part (b) to be 350 cm³.

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Answer:

B

Step-by-step explanation:

4(x+2)

4(x)+4(2)

4x+8

-hope it helps

(3) To find the total number of license plates that can be made, we need to consider the two given cases separately:

Case 1: Two uppercase English letters followed by four digits In this case, we have 26 choices for each of the two letters (A-Z), and 10 choices for each of the four digits (0-9). Therefore, the total number of license plates that can be made in this case is: 26 * 26 * 10 * 10 * 10 * 10 = 6,760,000

Case 2: Two digits followed by four uppercase English letters In this case, we have 10 choices for each of the two digits (0-9), and 26 choices for each of the four letters (A-Z). Therefore, the total number of license plates that can be made in this case is: 10 * 10 * 26 * 26 * 26 * 26 = 45,697,600 To find the overall number of license plates, we add the results from both cases together: 6,760,000 + 45,697,600 = 52,457,600 Therefore, the total number of license plates that can be made using either two uppercase English letters followed by four digits or two digits followed by four uppercase English letters is 52,457,600.

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Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

The values for 'a' and 'r' in the geometric sequence {an} can be determined based on the given information. The first term 'a' is found to be 2, while the common ratio 'r' is calculated as 2.5.

In a geometric sequence, each term is obtained by multiplying the previous term by a constant value called the common ratio 'r'. Here, the given information states that az = 10 and ag = 80. Let's denote the subscript 'z' as the term number corresponding to the value 10, and the subscript 'g' as the term number corresponding to the value 80.

To find the first term 'a', we can use the fact that az = 10. Since a is the first term, it corresponds to the term with subscript 'z'. Therefore, we have a * r^(z-1) = az = 10.

Similarly, we can use the information ag = 80 to determine the value of 'r'. Since a is the first term, it corresponds to the term with subscript 'g'. Therefore, we have a * r^(g-1) = ag = 80.

By substituting the known values, we get two equations: a * r^(z-1) = 10 and a * r^(g-1) = 80.

Dividing these two equations, we can eliminate 'a' and solve for 'r'. (a * r^(g-1))/(a * r^(z-1)) = 80/10. Simplifying, we get r^(g-z) = 8.

Now, we can write the value 8 as a power of 'r'. Since 2^3 = 8, we have r^(g-z) = (2^3).

Comparing the exponents, we get g - z = 3.

Given that z and g are the subscripts for az and ag respectively, we can conclude that g - z = 3.

Now, we can solve the system of equations: a * r^(z-1) = 10 and g - z = 3.

From the second equation, we have g = z + 3. Substituting this into the first equation, we get a * r^(z-1) = 10.

Since we have g = z + 3, we can substitute this into the second equation again: a * r^(g-1) = 80.

From the first equation, we can express 'a' in terms of 'z': a = 10/r^(z-1).

Substituting this into the second equation, we get (10/r^(z-1)) * r^(g-1) = 80.

Simplifying, we have 10 * r^(g-z) = 80.

Using the value of g - z = 3, we get 10 * r^3 = 80.

Dividing both sides by 10, we obtain r^3 = 8.

Taking the cube root of both sides, we get r = 2.

Now that we have the value of 'r', we can substitute it back into the first equation: a * r^(z-1) = 10.

Substituting r = 2, we have a * 2^(z-1) = 10.

Since 2^(z-1) = 2^1 = 2, we can solve for 'a' by dividing both sides by 2: a = 10/2 = 5.

Therefore, the first term 'a' is 5 and the common ratio 'r' is 2.

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Given the function f(x)=sin(2πx), with x = 0.3, f(x) = 0.951057. The objective is to approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1.

We know that the Taylor series for a function f(x) can be written as:f(x)=f(a)+f′(a)(x−a)+f′′(a)2(x−a)2+…+f(n)(a)n!(x−a)n+…The first two terms of the Taylor series are given by:f(x)=f(a)+f′(a)(x−a)The first derivative of f(x) is given by:f′(x)=2πcos(2πx)On substituting x = a = 0.1, we get:f′(0.1) = 2πcos(2π * 0.1) = 5.03118603447The value of f(x) at a=0.1 is given by:f(0.1) = sin(2π * 0.1) = 0.587785252292With a=0.1, the first two terms of the Taylor series become:f(x)=0.587785252292+5.03118603447(x−0.1) = 0.587785252292+0.503118603447x−0.503118603447×0.1Using x=0.2 and substituting the values of a and f(a) in the equation above, we get:f(0.2)=0.587785252292+0.503118603447*0.2−0.503118603447×0.1=0.712261After approximating the value of f(0.2) using the first two terms in the Taylor series,

we can conclude that the value of f(0.2) = 0.712261 with a = 0.1, with an error of approximately 0.012796.

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Answer:

About 84 liters

Step-by-step explanation:

Length*width*fill

24*19*0.75

111.51 liters*0.7=83.62=83.6 or 84 (estimated)

All in liters

Hope this helped :)

Answer:

It is about 84 litres to be exact 83.62

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

90 \(cm^{2}\)

Step-by-step explanation:

It's a parallelogram

So area of a parallelogram = base x height

A = 9 x 10

A = 90

Hope that helps!

Answer:

90

Step-by-step explanation:

Since this is a parallelogram, it's just A = BH, which they already give you both, the base and the height.

Base : 10

Height : 9

10x9=90

The derivative of the cost function with respect to the production quantity is given by the expression dC/dx = np + c/x^2, where x, n, p, b, and c are constants is the answer.

The derivative of the cost function in problem 9 is a function that expresses the rate of change of the cost function with respect to a unit change in the production quantity.

Suppose that the cost function for producing x units of a product is given by the formula: C(x) = npx + b + c/x

Where n is the number of items produced in a batch, p is the cost per item, b is the fixed cost, and c is the variable cost.

Using the power rule of differentiation, we can differentiate the cost function term by term as follows: dC/dx = d/dx(npx) + d/dx(b) + d/dx(c/x)= np(d/dx(x)) + 0 - c(d/dx(1/x^1))= np + c/x^2

Therefore, the derivative of the cost function with respect to the production quantity is given by the expression dC/dx = np + c/x^2, where x, n, p, b, and c are constants.

The derivative function contains the letters x, n, p, b, and c.

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Answer:

If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the required number be 'n'.

Then, we need to find what the value of n is.

According to the question,

Multiply both sides by 1/7.

Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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Answer:

About 3.052 units

Step-by-step explanation:

I  presume you won't  need this explanation now,  but just in case;

If we draw triangle MNK, as  MN = NK we know is isosceles. Now let's draw an altitude to MK so that  it splits MK into two congruent parts (5/2 = 2.5). Given M<N = 110 degrees the altitude would split the angle into two congruent angles as well (Coincidence Theorem)---- 110/2 = 55 degrees.

Now let's study the smaller triangles, and take one as an example. Remember sin(theta) = opp/hyp. Applying this we have theta as 55 degrees, the opposite side as 2.5, and the hypotenuse is yet to be found (MN);

sin(55°)= 2.5/MN,

x = 2.5/sin(55°) ≈3.052

Answer:

see below (I hope this helps!)

Step-by-step explanation:

p² = 4x² * (q(1 + r² / y²) / S)

p²S = 4x² * q(1 + r² / y²)

p²S / 4x²q = 1 + (r² / y²)

p²S / 4x²q - 1 = r² / y²

y² = r² / (p²S / 4x²q - 1)

y = √( r² / (p²S / 4x²q - 1) = √(r²4x²q / (p²S - 4x²q))

The system of equations has one solution, so it is consistent and independent, the correct option is C.

Here we have the system of equations:

x = 5

y = 6

-x - y + z = 0

By replacing the first and second equations into the third one, we get:

-5 - 6 + z = 0

-11 + z = 0

z = 11

So the solution is (5, 6, 11)

So it is consistent, and it is independent as clearly, the equations are linearly independent (system of 3 equations with 3 variables having only one solution).

Then the correct option is C.

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The value of the probability {(D) is 0.74

From the question, we have the following parameters that can be used in our computation:

The tree diagram

Using the above as a guide, we have the following:

P(D and A) = 0.6 * 0.7 = 0.42

P(D and B) = 0.4 * 0.8 = 0.32

Add the probability values

so, we have the following representation

P(D) = 0.42 + 0.32

Evaluate

P(D) = 0.74

Hence, the probability is 0.74

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If the data of the research subjects are presented in a frequency distribution graph, a histogram-type graph should be used.

If the data are presented in a frequency distribution graph, then the type of graph that should be used is a histogram. A histogram is a type of bar graph that displays the distribution of a continuous variable by dividing the range of values into intervals, and bins, and counting the number of observations that fall within each bin.

If the academic majors were nominal a bar graph could also be used to display the frequency of each major. In a bar graph, each category would be plotted on the horizontal axis, and the frequency of students in each category would be plotted on the vertical axis.

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The equivalent radian measure for 10 degrees is approximately 0.1745 radians.

To find the equivalent radian measure for 10 degrees using the given proportion, we can set up the equation:

d/180° = r/π radians

Plugging in 10 degrees for d, the equation becomes:

10°/180° = r/π radians

Simplifying the left side of the equation:

1/18 = r/π radians

To find the value of r, we can cross-multiply:

r = (1/18)  π radians

Calculating the right side of the equation:

r ≈ 0.1745 radians (rounded to four decimal places)

Therefore, the equivalent radian measure for 10 degrees is approximately 0.1745 radians.

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Answer:

53.1

Step-by-step explanation:

i just took the test

Answer:

53.10

Step-by-step explanation:

Answer:

A. (-7,-3)

D.(-3,-7) If clockwise

Let's solve each equation.

First, we subtract 5 on each side.

You can observe that we've got x = 6 as a solution, however, this is not completely true because at the beginning we got a square root equal to a negative number and that doesn't have a solution in the real numbers. Square roots can't give a negative result, that's why.

The second equation is

First, we add 2 on each side.

Then, we elevate the equation to the square power.

The second equation has a real solution.

The third equation is

The third equation has a real solution.

The fourth equation is

The fourth equation has a real solution.

Answer:

it's helps it by standing

Answer:

-0.5f - 4.52 = -25.52 + 1f

-1.5f = 21

f = 14

Answer:

14

Step-by-step explanation:

-4.52 + 25.52 = f + 0.5f

21 = 1.5f

f = 14

Answer: 4x10^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5, 4) (4, -5)

(-5 - 4)/(4 + 5)= -9/9= -1

Answer:

(-5, 4) (4, -5)

(-5 - 4)/(4 + 5)= -9/9= -1

Answer:

The cube root would be 9. Cubed is just like squared, but a number multiplied 3 times to get the number 729.

Step-by-step explanation:

A way to solve it is:

729 / 3 = 243

243 / 3 = 81

81 / 3 = 27

27 / 3 = 9

9^3 = 729

9 • 9 = 81

81 • 9 = 729

Answer:

9

Step-by-step explanation: