CNNBC recently reported that the mean annual cost of auto insurance is 958 dollars. Assume the standard deviation is 144 dollars, and that the population is normally distributed. You will use a simple random sample of 99 auto insurance policies. Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations. Find the probability that a single randomly selected policy has a mean value between 934.8 and 965.2 dollars. P(934.8 < X < 965.2) = Enter your answer as a number accurate to 4 decimal places

Answer:

5 feet

Step-by-step explanation:

Kate would then be 17 feet under

Jalon would then be 12 feet under

Subtract.

Answer:

Yes it is

Step-by-step explanation:

You know it is equal because 2/10 is equal to .20 or .2

Answer:

I’m sure they are both equivalent to 1/5

Step-by-step explanation:

Yes, line is used to define an angle.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The common point is referred to as the vertex.

The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.

A straight line is a straight angle.

Therefore, two lines are used to define an angle.

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The projection matrix P is [1/√11 -1/√337].

To find the projection matrix that projects vectors in ℝ³ onto the subspace W spanned by the vectors [3 1 1] and [15 11 -1], we can follow these steps:

Let's start by normalizing the basis vectors of W. Normalizing means dividing each vector by its magnitude to obtain unit vectors.

First basis vector:

u₁ = [3 1 1]

Normalize: v₁ = u₁ / ||u₁||

Compute the magnitude: ||u₁|| = √(3² + 1² + 1²) = √11

Normalize: v₁ = [3/√11, 1/√11, 1/√11]

Second basis vector:

u₂ = [15 11 -1]

Normalize: v₂ = u₂ / ||u₂||

Compute the magnitude: ||u₂|| = √(15² + 11² + (-1)²) = √337

Normalize: v₂ = [15/√337, 11/√337, -1/√337]

Next, we construct a matrix P using the normalized basis vectors as columns.

P = [v₁ v₂]

P = [3/√11 15/√337]

[1/√11 11/√337]

[1/√11 -1/√337]

Therefore, the projection matrix P that projects vectors in ℝ³ onto the subspace W spanned by the vectors [3 1 1] and [15 11 -1] is:

P = [3/√11 15/√337]

[1/√11 11/√337]

[1/√11 -1/√337]

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Data triangulation is a research method that involves using multiple data sources or methods to gather and analyze information, enhancing the validity and comprehensiveness of findings.

Data triangulation is a research method that involves using multiple sources or methods to gather and analyze data on a particular topic or research question. By combining different data sources, researchers aim to enhance the validity, reliability, and comprehensiveness of their findings.

Two real-world examples of data triangulation are:

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The solution is x ≈ 0.305.

The equation you are referring to is:

5 = 31n x - In x

To solve for x, we need to use numerical methods since this equation

cannot be solved algebraically.

One common method is to use the Newton-Raphson method. Here are

the steps:

Choose an initial guess for x. Let's start with x=1.

Calculate the function and its derivative at the current guess:

f(x) = 31n x - In x - 5

f'(x) = 31n - 1/x

Use the formula x1 = x0 - f(x0)/f'(x0) to find a new guess for x:

x1 = x0 - (31n x0 - In x0 - 5)/(31n - 1/x0)

Repeat steps 2 and 3 with the new guess until the value of f(x) is very

close to zero.

In other words, keep iterating until |f(x)| < ε, where ε is a small positive

number that represents the desired accuracy.

After several iterations, we get the solution x ≈ 0.305. Rounded to the

nearest thousandths, the solution is x ≈ 0.305.

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The fraction  12/3+3/4÷(−1/3)−1/2is evaluated to give -114/10

A fraction can be defined as part of a whole element, variable or number

The several  types of fractions in mathematics are;

From the information, we have that;

12/3+3/4÷(−1/3)−1/2

The fraction given is a mixture of proper fractions and improper fractions

Expand the bracket, we get;

12/3 + 3/4 ÷ -1/3 -1/2

Find the lowest common denominator

48 + 9 /12 ÷ -2 - 3 /6

Add the numerators

57/12  ÷ -5/6

Take the inverse of the divisor and multiply

57/12 × 6/-5

-114/10

Hence, the value evaluated from the fraction is -114/10

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The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Answer is A. y=3x−2 (i took the quiz on k12 and this was the correct answer so it may be different depending on your school)

Answer:

( Proof is down below!! )

I hope this helped!!

-GXLDIE <3

The equation for the axis of symmetry for the given parabolic graph is found as: x = 3.

A parabola is the graph of a quadratic function and features a vertical line passing through its vertex as its axis of symmetry.

The graph is also symmetric, with the axis of symmetry being a vertical line that passes through the vertex.

Thus, the equation for the axis of symmetry for the given parabolic graph is found as: x = 3.

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Answer:

331/2

Step-by-step explanation:

5 1/2= 11/2

3 1/2 = 7/2

11/2x7/2x6=115 1/2 = 331/2

Answer:

115.5 cm^3

Step-by-step explanation:

Volume=LengthxWidthxHeight

The values from the diagram are 3.5, 6, and 5.5

Multiply!

3.5x6x5.5=115.5

Answer:

x = - 12 , x = - 7

Step-by-step explanation:

To solve the equation , equate to zero

x² + 19x + 84 = 0

Consider the factors of the constant term (+ 84) which sum to give the coefficient of the x- term (+ 19)

The factors are + 12 and + 7 , since

12 × 7 = 84 and 12 + 7 = 19 , then

(x + 12)(x + 7) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x + 7 = 0 ⇒ x = - 7

Answer:

(x+12)(x+7)

Step-by-step explanation:

x^2+12x+7x+84

=x(x+12)+7(x+12)

=(x+12)(x+7)

The inequality represents x, and y, she can eat each week is,

490x+700y \leq 4000.

x be the number of microwave burritos

y be  the number of peanut butter sandwiches

we know that

\(490x+700y \leq 4000\).........inequality that represents the situation

The mathematical expression in which the sides of an equation are not equal to each other.

we use a graphing tool

The solution is the shaded area

Please find  the attached figure

Therefore,the answer is 490x+700y \leq 4000

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Answer:

5/2

Step-by-step explanation:

Answer:

Answer:

x = 80°

Step-by-step explanation:

The measure of the angles of the inside of a triangle, when added result in 180°

58° + 42° + x = 180°

x = 180° - 42° - 58°

x = 80°

Answer:

First find what f(-4) is, it is 2. Then substitute the 2 into x for e(x). Then is becomes e(2) which equals -4. The output is the same as the input because they are inverses. When putting the output of the original equation as the input of the inversed equation, the output of the inversed equation becomes the input of the original equation.

The function e(f(-4)) = -4. This happens because when two function machines are pushed together, the output of the first machine is used as the input for the second machine.

The inverse of a function f(x) is a function e(x) such that e(f(x)) = x for all x in the domain of f(x). To find the inverse of Amanda's favorite function, f(x) = 1 + sqrt(x + 5), we need to isolate x in the expression 1 + sqrt(x + 5) and call it y:

y = 1 + sqrt(x + 5)

Squaring both sides of the equation, we get:

y^2 = 1 + 2sqrt(x + 5) + (x + 5)

y^2 - 1 = 2sqrt(x + 5) + x + 5

Expanding the square on the left side, we get:

y^2 - y - 6 = x

So the inverse function, e(x), can be defined as:

e(x) = y^2 - y - 6

Finally, to evaluate e(f(-4)), we first need to find f(-4), then use the result as an input to the inverse function e(x):

f(-4) = 1 + sqrt(-4 + 5) = 1 + sqrt(1) = 1 + 1 = 2

e(f(-4)) = e(2) = 2^2 - 2 - 6 = 4 - 8 = -4

Therefore, e(f(-4)) = -4.

This happens because when two function machines are pushed together, the output of the first machine is used as the input for the second machine.

The inverse of Amanda's favourite function takes the output of the first machine and finds the original input that would have produced the same output. In this case, the original input was -4.

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Answer: The answer is true.

The probability that a sample of five parts from a production process that produces 3% defective parts contains exactly two defective parts is approximately 0.2834.

To find this probability, we can use the binomial probability formula:

P(X = 2) = (5 choose 2) * 0.03^2 * (1 - 0.03)^3

Where "X" is the number of defective parts in the sample, "5 choose 2" represents the number of ways to choose 2 defective parts out of 5, and 0.03 and (1 - 0.03) represent the probabilities of selecting a defective and non-defective part, respectively.

Using a calculator, we can simplify and compute:

P(X = 2) = (5 choose 2) * 0.03^2 * 0.97^3

= 10 * 0.0009 * 0.9127

≈ 0.0081

Therefore, the probability is approximately 0.0081 or 0.81%.

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Answer: A random variable.

Step-by-step explanation:

a numerical description of the outcome of an experiment is called a random variable.

Answer:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.

Answer:

96

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

C and E because the 912,336 rounds up to become 912,340, and 912,344 rounds down to become 912,340.

I think B and E are correct

Hope this helps!

Part (c) is the correct option i.e. The total dealer's cost is $16588.36.

What is Percentage ?

Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given, Cost paid for car's options = 82 % $3,098 = $2540.36

           Cost paid for base price = 85 % $15,480 = $13158.

           Destination charge = $890

∴ The total dealer's cost will be :

 = Cost paid for car's options +  Cost paid for base price +  Destination charge

=  $2540.36 + $13158 + $890

= $16588.36.

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The equation that have exactly one solution is −103x−6=−6x−103. Option A is correct.

Linear equations are equations that has a leading degree of 1. For instance, the equation y = mx +b is a linear equation of a line.

where m is the slope

b is the y-intercept

According to the question, we need the expression that will given exactly one solution. In order to determine this, we must ensure that the solution does not have a similar value or expression on both sides.

Looking at the equation in options B, C and D, we can see that the variables will cancel out on both sides showing that the equation will not give one solution as result.

For the equation −103x−6=−6x−103

−103x−6=−6x−103

-103x + 6x = -103 + 6

-97x = -97

x = 97/97

x = 1

Hence the equation that have exactly one solution is −103x−6=−6x−103

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The area under the curve between z = −2.0 and z = −1.0 is 0.1359.

We can use tables to find the area under the normal curve between two values of z.

However, tables give areas from z = 0 to z = 3.9 (beyond which there is literally no change). But as the normal curve is symmetric at z = 0, we can use it to find between any two given z values.

For example, for the area under the curve between z = −2.0 and z = −1.0, we can take values for z = 2.0 and z = 1.0; their difference will give the area between z = −2.0 and z = −1.0.

From tables for z = 1.0, we have 0.8413 and for z = 2.0, we have 0.9772 and

Hence, the Area under the curve between z = −2.0 and z = −1.0 is 0.9772−0.8413 = 0.1359.

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The expected value (the mean of the distribution) for someone who buys a ticket can be calculated by adding up the total amount of money in the raffle and then dividing that by the number of tickets sold, which in this case in $6.68.

In this scenario, a ticket costs $5. The prize for winning the raffle is $1400 plus the cost of the ticket, which is $5.

The total value of the raffle is equal to the sum of the prize and the total amount of money raised from the tickets. The amount raised from the tickets is the number of tickets sold multiplied by the cost of the ticket.

Therefore, the total value of the raffle is equal to: $1400 + ($5 × 833) = $1400 + $4165 = $5565

The expected value of a ticket is the total value of the raffle divided by the number of tickets sold.

Therefore, the expected value of a ticket is:$5565 / 833 = $6.68

Therefore, the expected value (the mean of the distribution) for someone who buys a ticket is $6.68.

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