Use the table to write a linear function that relates y to x.

An automobile insurance company divides customers into three categories: good risks, medium risks, and poor risks. Assume that o

Leokris [45]

Answer:

0.60

Step-by-step explanation:

Probability that the customer is not a poor risk = 1 - probability that the customer is a poor risk

Firstly, let’s calculate the probability of being a poor risk.

From the given data the number of poor risks = 14229-7362-1190 = 5677

So the probability of being a poor risk = 5677/14229 = 0.399

Thus, the probability that the customer is not a poor risk = 1-0.399 = 0.601 which to 2 decimal places = 0.60

6 0

3 years ago

1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the

ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

$v_1 = 60\ mph$

Sheyna drives back from the lake with average speed of 36 mph

$v_2 = 36\ mph$

It took 2 hours less time to get there than it did to get back.

Let $t_1$ be the time taken to drive to lake.

Let $t_2$ be the time taken to drive back from lake.

$t_2-t_1 = 2$ hrs ..... (1)

To find:

Total time taken = ?

$t_1+t_2 = ?$

Solution:

Let D be the distance to lake.

Formula for time is given as:

$Time =\dfrac{Distance}{Speed }$

$t_1 = \dfrac{D}{60}\ hrs$

$t_2 = \dfrac{D}{36}\ hrs$

Putting in equation (1):

$\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles$

So,

$t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs$

$t_2 = \dfrac{180}{36}\ hrs = 5\ hrs$

So, the answer is:

$t_1+t_2 = \bold{8\ hrs}$

8 0

3 years ago

How many square feet of outdoor carpet will we need for this hole

Fed [463]

Answer:

40 ft²

Step-by-step explanation:

The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle

✔️Area of triangle 1:

Area = ½*bh

b = 6 - 3 = 3 ft

h = 11 - 7 = 4 ft

Area of triangle 1 = ½*3*4 = 6 ft²

✔️Area of triangle 2:

Area = ½*by

b = 2 ft

h = 3 ft

Area of triangle 2 = ½*2*3 = 3 ft

✔️Area of rectangle = L × W

L = 11 ft

W = 3 ft

Area of rectangle = 11 × 3 = 33 ft

✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²

4 0

2 years ago

The range for the set of data represented by the following box-and-whisker plot is 8.

DIA [1.3K]

Answer:

True

Step-by-step explanation:

<u>The range is the difference between the lowest and the highest values of the set:</u>

19 - 11 = 8

The answer is TRUE

3 0

2 years ago

Read 2 more answers

The account balance of each of three children at the end of a month is shown below:

xeze [42]

Answer:

A) See attached.

B) Cheryl owes the bank more.

Step-by-step explanation:

Given account balances:

John: -$2.75
Cheryl: -$3.00
Andrew: $2.75

(Andrew has as much savings in his account as the amount John owes).

Draw a straight, horizontal line with arrows on both ends.
Place a tick in the center of the line and label it zero.
Draw 4 evenly spaced ticks either side of the zero.
Number the ticks to the right of the zero 1, 2, 3 and 4.
Number the ticks to the left of the zero -1, -2, -3, and -4.
Mark -2.75, -3 and 2.75 on the number line.
Label the marks with John, Cheryl and Andrew.

(See attached number line).

The <u>absolute value</u> of a number is its <u>positive numerical value</u>.

To calculate how much John and Cheryl owe the bank, take the absolute values of their account balances:

John: |-2.75| = 2.75

Cheryl: |-3.00| = 3.00

As 3.00 > 2.75, Cheryl owes the bank more.

8 0

1 year ago

Read 2 more answers