What is the premium for $75,000 for a 33 year old female, for a 20-year policy?


A) $286.50


B) $587.25


C) $594.75


D) $1415.25

Remember rules with angles when parallels are present (alternate interior/exterior angles, corresponding angles, same side interior/exterior angles, etc.)

Statements                         Reasons

∠3 = ∠5                            m || n, alternate interior angles

∠5 = ∠13                          a || b, corresponding angles

∠3 = ∠13                          substitution property: ∠3 =∠5 and ∠5 =∠13

The conclusions that can be drawn about f–1(x) are:

Given:

\(f(x) = \frac{-2}{3}x - 24\)

\(f(x) + 24 = \frac{-2}{3}x\)

To find x, we would multiply both sides by -2/3

= \(x= \frac{-3}{2} (f(x) + 24)\)

\(f^-^1(x) = -\frac{3}{2} (0) - 36\)

\(f^-^1(x) = -36\)

Therefore, \(f^-^1(x)\)  has an x-intercept of (-36, 0)

Furthermore, \(f^-^1(x)\) has a range of all real numbers.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Now, According to the question:

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Let's know:

What is Confidence Interval?

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.

The common notation for the parameter in question is θ. Often, this parameter is the population mean μ , which is estimated through the sample mean bar x.

The level C of a confidence interval gives the probability that the interval produced by the method employed includes the true value of the parameter θ.

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Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

1 7/30

Step-by-step explanation:

3 - (1 1/6 + 3/5) =

3 - (1 5/30 + 18/30) =

3 - 1 23/30 =

1 7/30

Hope that helps!

Answer:

I believe it would 24..

Step-by-step explanation:

The equation that represents the sentence is y ÷ 6₄¹ = 11₄³

The word quotient is the outcome when dividend is divided by a divisor.

The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.

The number that is divided by other number is called dividend and this other number is called divisor.

11³₄ is the quotient of a number y and 6¹₄.

47/4 is the quotient of a number y and 25/4

hence, y is the dividend and 25/4 is the divisor

y ÷ 25/4 = 47/4

y × 4/25 = 47/4

y = 1175/16

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Answer:

-1 = -5

0 = 0

1 = -5

2 = -20

Step-by-step explanation:

im not sure if the answer is right but i hope it helps ^^

the website i used to find my answer is called desmos

Answer:

the area should be 3 centimeters around the square

Step-by-step explanation:

If Pedro purchased the collision deductible for $10. 00 per day and paid $50. 00 for gasoline to cover the 700 miles he drove the total cost per mile to rent the car is approximately $0.4357 per mile.

To find the total cost per mile to rent the car, we need to add up all of the costs and then divide by the total number of miles driven.

The cost of renting the car for 2 days at $30.00 per day is:

2 days x $30.00/day = $60.00

The cost of the collision deductible for 2 days is:

2 days x $10.00/day = $20.00

The cost of gasoline to cover the 700 miles is $50.00.

The cost of the mileage is:

0.25 x 700 = $175.00

To find the total cost, we add up all of the costs:

$60.00 + $20.00 + $50.00 + $175.00 = $305.00

Therefore, the total cost to rent the car for 2 days and drive 700 miles is $305.00.

To find the cost per mile, we divide the total cost by the total number of miles:

$305.00 / 700 miles = $0.4357 per mile

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Step-by-step explanation:

\( - \frac{3}{2} < 3x\)

\(3x > - \frac{3}{2} \)

\(x > - \frac{3}{2} \div 3\)

\(x > - \frac{1}{2} \)

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

C) The confidence interval is not biased.

Step-by-step explanation:

When a relationship between two variables is observed the confidence interval should not be biased. If the confidence interval is found to be biased then the observed results will be reliable and accurate. Regression analysis of  heart rate and maximal oxygen uptake is analyzed and the correlation will not be equal to zero. This means there will be some correlation between the two variables.

The necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

Explanatory variables are also called independent variables and they explain variations in the response variables. They are not dependent on any directly considered variable in the considered situation.

The response variables are also called dependent variables and their values depend on the values of the explanatory variables.

For this case, it is considered that:

It is not specified that regression is linear but specified that there is regression analysis was conducted. Regression is useful only if there is any correlation between two variables.

Thus, the most important condition that must be checked is:

Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

(because 0 correlation shows that variables are independent, so no influence of explanatory variable on response variable and they are independently taking up their values compared to each other).

Thus, the necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

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Answer:36

Step-by-step explanation:

You would add 6x + 10x + 2x = 180 then add your xs to get 18x =180 divide to 18 then multiply by 2 and get 35 :)

Answer:6/15 so 40%

Step-by-step explanation:

Answer:

Juan bought 3 bags of popcorn and 8 bags of pretzel

Step-by-step explanation:

Given

\(x = popcorn\)

\(y = pretzels\)

\(Amount = \$52.50\)

Required

Solve graphically

First, we need to represent the cost as an equation.

If popcorn costs 7.50 per bag and pretzel costs 3.75 per bag

The cost is then represented as:

\(7.50x + 3.75y = 52.50\)

Next, we represent the quantity as an equation.

Bags of pretzel is 5 more than bags of popcorn

The quantity is then represented as:

\(y = x + 5\)

At this stage, we have:

\(7.50x + 3.75y = 52.50\)

\(y = x + 5\)

See attachment for graph

\(7.50x + 3.75y = 52.50\) is represented by the \(green\ line\) while the \(blue\ line\)represents \(y = x + 5\)

At the point of intersection of both lines, we have:

\((x,y) = (3,8)\)

This implies that;

Juan bought 3 bags of popcorn and 8 bags of pretzel

Answer:

y = 6

Step-by-step explanation:

[] We can plug in our x value of -3, from the coordinate point, and solve for y.

y = 3 - x

y = 3 - (-3)

y = 3 + 3

y = 6

[] We can also graph the equation, and find the point where x = -3

-> See attached

I do not see this option in the answers you have provided, so either I miss interpreted something, or something else got messed up.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

Hello, the correct answer is, 27

Step-by-step explanation:

Substitute -3 into -x

We know that since they are both negatives, they cancel out. Therefore, you substitute 3 into y = 3^-x.

y = 3^3

y = 27

Since a kite is a quadrilateral, it has the value of 360 total degrees.

Answer:

  102 gallons of 55% antifreeze

  68 gallons of 80% antifreeze

Step-by-step explanation:

55% antifreeze:   x

80% antifreeze:   y

x + y = 170                        ===>  -.55(x + y = 170)   ===>   -.55x - .55y = -93.5

.55x + .80y = .65(170)      ===>                                          .55x + .80y = 110.5      

                                                                                         ________________

add the two equations to eliminate a variable:                        0.25y = 17

divide by 0.25 to isolate y:                                                               y = 68

substitution to find x:    

  x + y = 170

  x + 68 = 170

          x = 102

Answer:

The value is   \(p-value  =  0.22663\)

Step-by-step explanation:

From the question we are told that

    The proportion of bruised tomatoes p =  0.08

    The  null hypothesis is  \(H_o  :   p =  0.08\)

    The alternative hypothesis is  \(H_a  :  p >  0.08\)

    The sample size is  n  =  600

    The number of bruised tomatoes from the sample selected is  k  =  53

    The test statistics is  z =0.75

Generally the p-value is mathematically represented as

      \(p-value  =  P(Z > z)\)

=>    \(p-value  =  P(Z > 0.75)\)

From the z-table  

    \(P(Z > 0.75) =  0.22663\)

So  

    \(p-value  =  0.22663\)

Answer:

P-value ≈ 0.2266

Step-by-step explanation:

So the parametric equation for the line through the point p(-2, 8, 5) and parallel to the vector v is:

x = -2 + t * vx

y = 8 + t * vy

z = 5 + t * vz

The vector equation for a line can be represented as:

p = p0 + t * d

where p0 is a point on the line, t is a scalar parameter, and d is the direction vector of the line. To find the vector equation for the line through the point p(-2, 8, 5) and parallel to the vector v, we need to find the direction vector d and the point p0.

Since the line is parallel to the vector v, the direction vector d will be equal to v. The point p0 can be found by using the point p(-2, 8, 5):

p0 = p - t * d

p0 = (-2, 8, 5) - 0 * (v) = (-2, 8, 5)

So the vector equation for the line through the point p(-2, 8, 5) and parallel to the vector v is:

p = (-2, 8, 5) + t * (v)

x = x0 + t * dx

y = y0 + t * dy

z = z0 + t * dz

where (x0, y0, z0) is a point on the line, and (dx, dy, dz) is the direction vector of the line.

x = -2 + t * vx

y = 8 + t * vy

z = 5 + t * vz

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The least number of packages of plates and spoons will be 12 and 9 respectively so she should order to have an equal number of plates and spoons.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

Given that, a restaurant owner will use the data below to place new orders for plates and spoons. Packages of nine plates and twelve spoons are available for purchase. Equal quantities of plates and spoons are ordered by the restaurant owner.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

If the plates are sold in packages of 9 and there are 12 packages the number of plates will be 108.

If the plates are sold in packages of 12 and there are 9 packages the number of plates will be 108.

Thus, the least number of packages of plates and spoons will be 12 and 9 respectively so she should order to have an equal number of plates and spoons.

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Answer:

- 14x +3

Step-by-step explanation:

hope this helps u. : )

Answer:

$85.60

Step-by-step explanation:

In this question, we need to find the price of the calculator after tax.

We know the cost of the calculator is $80 and the sales tax is 7%

To find your answer, we would multiply 80 by 1.07:

80 · 1.07 = 85.60

The total cost of the calculator is $85.60

Answer:

20 square units

Step-by-step explanation:

Point D should be D(4, -1) if a rectangle is to be formed.  A picture is attached to this answer.

The rectangle's dimensions are 4 by 5, so it's area is 4 x 5 = 20 square units.  The picture is small enough that you could even just count squares inside the rectangle!

Answer:

last oneeee

Step-by-step explanation: