Based on information from a large insurance company, 67% of all damage liability claims are made by single people under the age of 25. A random sample of 52 claims showed that 43 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company

Answer:

[tex](a)\ Area = 28.12cm^2[/tex]

[tex](b)\ Volume = 1437.33cm^3[/tex]

Step-by-step explanation:

Solving (a): The parallelogram

[tex]h = 7.6[/tex] --- height

[tex]b = 3.7[/tex] --- base

The area is calculated usng:

[tex]Area = base * Height[/tex]

[tex]Area = 3.7 * 7.6[/tex]

[tex]Area = 28.12cm^2[/tex]

Solving (b): The sphere

[tex]d = 14cm[/tex]

Required

The volume

First, calculate the radius

[tex]r = d/2[/tex]

[tex]r = 14cm/2 = 7c,[/tex]

The volume is calculated using:

[tex]Volume = \frac{4}{3} \pi r^3[/tex]

This gives:

[tex]Volume = \frac{4}{3} * \frac{22}{7} * 7^3[/tex]

[tex]Volume = \frac{4}{3} * 22 * 7^2[/tex]

[tex]Volume = \frac{4}{3} * 1078[/tex]

[tex]Volume = \frac{4*1078}{3}[/tex]

[tex]Volume = \frac{4312}{3}[/tex]

[tex]Volume = 1437.33[/tex]

Answer: -10, √_100, 11.5, √_220

Step-by-step explanation:

-10 is the least bc it just is and √_100 simplified is 10 and 11.5 is a little greater so duh and √_220 simplified is 14.83

Answer:

the axis of symmetry is: x=-5

Answer:

50%

Step-by-step explanation:

16 litres = (16 x 1000) cm^3

             = 16000 cm^3

Hence,

Percentage = 8000/16000 x 100%

                    = 1/2 x 100%

                    = 50%

Answer:

a1 =2

an = an-1  * 4

Step-by-step explanation:

We can tell this is geometric by the way it increases

To find the common ratio, take the second term and divide by the first term

8/2 =4

Check to make sure

2*4=8

8*4 =32

32*4 =128

The recursive formula is

a1 = the first term

an = an-1 *r

a1 =2

an = an-1  * 4

Answer: 21.3

Step-by-step explanation:

1. Cross multiply

8(8) = 3(x)

2. Simplify

64 = 3x

3. Divide by 3 on both sides to get the variable by itself

64/3 = 3x/3

4. Simplify

21.3333333333 = x

you can round the answer to the nearest tenth, which would be 21.3

The value of x is equal to 3.

The length of diagonal LN is equal to 18 units.

The length of diagonal MP is equal to 15 units.

In Mathematics, the diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.

This ultimately implies that, the length of each diagonal of a rectangle is always equal to each other. Therefore, the diagonals of any rectangle is always equal to one other.

We would determine the value of x by equating the length of each diagonal as follows;

LN = MP

7x - 3 = 4x + 3.

7x - 4x = 3 + 3

3x = 6

x = 6/2

x = 3.

Next, we would calculate length of each diagonal as follows;

LN = 7x - 3

LN = 7(3) - 3

LN = 21 - 3

LN = 18 units.

MP = 4x + 3.

MP = 4(3) + 3.

MP = 12 + 3

MP = 15 units.

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Complete Question:

LMNP is a rectangle. Find the value of x and the length of each diagonal.

LN = 7x - 3 and MP = 4x + 3.

Answer:

A. x

Step-by-step explanation:

I calculated it logically

The linear equation y = 15x +100. And the graph and table are given in the attached image.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour.

She also gets a $100 bonus for agreeing to start right away.

Let x be an hour, she worked.

And y be the total earnings.

So, the equation,

y = 15x + 100

The table is given in the attached image.

And the graph is also given.

Therefore, the equation is y = 15x + 100

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Answer:

Step-by-step explanation:

The key words that changes or shows the operation you are going to use in order to solve.

Answer:

Addition, Subtraction, Multiplication, Division and Equals

Answer:

0.27 is the answer

I wish you luck in your assignments.

Answer:

Step-by-step explanation:

0.27

Answer:

Step-by-step explanation:

To solve for r, you need to first find the values of x that make y equal to 24. These values of x are called the roots of the polynomial equation y = (x+3)(x-2)(x-r).

To find the roots of the equation, you can use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation y = ax^2 + bx + c.

In this case, the coefficients are:

a = 1

b = -3

c = -24

Substituting these values into the quadratic formula, we get:

x = (3 +/- sqrt(9 - 96)) / 2

= (3 +/- sqrt(-87)) / 2

Since sqrt(-87) is not a real number, there are no real roots for this equation. Therefore, the value of r cannot be determined.

Answer:    7

Step-by-step explanation:

234577788

        ^

the number in the middle is 7

The weight of the circle is heavier than the weight of the square by the weight of the triangle

Examining the weights, can lead to a linear equation, the equation will have the follows parameters

let t represent triangle

let c represent circle

let s represent square

6s + 3t = 3s + 3c

6s - 3s + 3t = 3s + 3c

3s + 3t = 3c

divide through by 3

s + t = c

10 + t = c

From the equation 10 + t = c we can say that the weight of the circle is a triangle weight more than the square

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Answer:

x–2, x ≠ -3

Step-by-step explanation:

Solution in the diagram

Answer:

A

Step-by-step explanation:

The slop formula is [tex]\frac{rise}{run}[/tex] and in the first one the rise increase per y (x) is 2 units and the run (y) is 1 as we calculated the run as how many units x rises per y and A is the answer due to it being the one which follows the rule.

Answer:

100

Step-by-step explanation:

because if you add it all up you will find the sum

The sum of the solutions of the equation 4x(x - 3) = 23 is 3.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, An equation 4x(x - 3) = 23.

Now, Distributing the terms in the LHS we have,

4x² - 12x = 23.

4x² - 12x - 23 = 0.

By applying Sridhar acharya's formula we have,

[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:4\left(-23\right)}}{2\cdot \:4}[/tex].

[tex]x=\frac{3+4\sqrt{2}}{2},\:x=\frac{3-4\sqrt{2}}{2}[/tex].

Therefore, The sum of the solutions of the equation is,

x + x = (3 + 4√2)/2 + (3 - 4√2)/2.

= (3 + 4√2 + 3 - 4√2)/2.

= 6/2.

= 3.

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Answer:

n=15

Step-by-step explanation:

Answer:

n = 15

Step-by-step explanation:

1/5 * 15 = 3

This is 100% correct, if you don't believe me go to a new tab and type 1/5*15

It will say 3.

Answer:

[tex]14\pi[/tex] and [tex]16\pi[/tex]

Step-by-step explanation:

The equation for the circumference of circles is either [tex]d\pi[/tex] or [tex]2r\pi[/tex], with r being the radius and d being the diameter.

Question A

The diameter is stated as 14. Plug into the equation to get:

[tex]14\pi[/tex]

This is your answer in exact form.

Question B

The radius is stated as 8. Plug into the equation to get:

[tex]2(8)\pi[/tex]

[tex]16\pi[/tex]

This is your answer in exact form.

Answer:

1) 43.98

2) 50.27

Step-by-step explanation:

I hope this helps!

Answer:

b

Step-by-step explanation:

Answer:

20 students were absent

Step-by-step explanation:

Half means divide by 2:

40/2 = 20

Answer:

i hope it helps mapriend

A remainder is the remaining amount of a number than comes out of a division. I'm not sure how to explain it better, so I'll give you an example:

Let's say you want to divide 5 by 2. We know that 5 can't be divided by 2 evenly, it won't give you a whole number. Instead it will give you a decimal 2.5.

In this case, 1 is the remainder and I will explain why! Do the long division for 5/2. 2 fits into 5 two times, so you multiply 2 * 2, which gives you 4. If you subtract that number from 5, you get 1. We know that 2 can't fit into one, therefore, 1 is the remainder. once you start getting into decimals, you can fit numbers into other numbers, which is why technically you can fit 2 into 5, but you can't fit it in evenly, if that makes sense!

I hope this example helps see what a remainder is. It's just the number in a long division that the divisor (in my example, 2 is the divisor) can't fit in!

Answer:

17

Step-by-step explanation:

We will use angle A as theta in our trigonometric function equation.

We are dealing with hypotenuse and opposite, so the trig ratio is sine.

[tex]sin(39) = x/27[/tex]

[tex]27sin(39)=x[/tex]

[tex]27(0.6293) = x[/tex]

[tex]x=16.992[/tex]

When rounded to the nearest tenth, [tex]x=17[/tex]

Answer:

yes it's smaller

Answer:

A. 25 cm

Step-by-step explanation:

Perimeter of a polygon = the sum of all sides of the polygon

Therefore,

Perimeter of the given polygon = 5 + 6 + 8 + 6

Perimeter = 25 cm