Good at math & need points? help!!

It takes Three hours for a highway worker to mow the grass on a stretch of highway. It takes 6 hours for a different highway wor

Hunter-Best [27]

Answer:

Step-by-step explanation:

4.5

7 0

2 years ago

Find the consecutive integers even integers whose sum is 264

coldgirl [10]

Name the first even integer you are looking for $x$ . The next even number is $x+2$ .

Their sum is $264$ , so $x+x+2=264$ . That means $2x=262$ , hence $x=131$ .

So, the desired numbers are $131$ and $133$ .

5 0

3 years ago

A car insurance company has high-risk, medium-risk, and low-risk clients, who have, respectively, probabilities .04, .02, and .0

Paha777 [63]

Answer:

(a) 0.983

(b) 0.353 or 35.3%

(c) 0.604 or 60.4%

Step-by-step explanation:

a) The probability of a random client does not file a claim is equal to the sum of:

1) the probability of a client being high risk and does not file a claim = P(hr)*(1-P(c_hr))

2) the probability of a client being medium risk and does not file a claim = P(mr)*(1-P(c_mr))

and

3) the probability of a client being low risk and does not file a claim = P(lr)*(1-P(c_lr))

P(not claim) = P(hr)*(1-P(c_hr))+P(mr)*(1-P(c_mr))+P(lr)*(1-P(c_lr))

P(not claim) = 0.15*(1-0.04)+0.25*(1-0.02)+0.6*(1-0.01)

P(not claim) = 0.15*0.96+0.25*0.98+0.6*0.99 = 0.983

(b) To know the proportion of claims that come from high risk clients we need to know the total expected claims in every category:

Claims expected by high risk clients = P(c_hr)*P(hr) = 0.04*0.15 = 0.006 claims/client

Claims expected by medium risk clients = P(c_mr)*P(mr) = 0.02*0.25 = 0.005 claims/client

Claims expected by low risk clients = P(c_lr)*P(lr) = 0.01*0.60 = 0.006 claims/client

The proportion of claims done by high risk clients is

Claims by HR clients / Total claims expected = 0.006 / (0.006+0.005+0.006) = 0.006 / 0.017 = 0.3529 or 35,3%

(c) The probability of being a client of a particular category and who don't file a claim is:

1) High risk: 0.15*(1-0.04) = 0.144

2) Medium risk: 0.25*(1-0.02) = 0.245

3) Low risk: 0.6*(1-0.01) = 0.594

The probability that a random client who didn't file a claim is low- risk can be calculated as:

Probability of being low risk and don't file a claim / Probability of not filing a claim

P(LR&not claim)/P(not claim) = 0.594 / (0.144+0.245+0.594)

P(LR&not claim)/P(not claim) = 0.594 / 0.983 = 0.604 or 60.4%

6 0

2 years ago

The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.03x2 + 1.53x, where x is the horizont

netineya [11]

This is the equation of an upside down parabola, so the maximum height will be at the vertex. To find the vertex, we'll use the formula for the x-coordinate and then solve for the y-coordinate.
$x=\frac{-1.53}{2*-.03}=25.5$

Plugging this into the given formula:
$y=-0.03(25.5)^2+1.53(25.5)=19.5075$
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
$0=-0.03x^2+1.53x=x(-0.03x+1.53)$

Then by the zero product property (or the no zero divisors rule), we have:
$x=0$ (this is the x value where the ball is kicked from)
$-0.03x+1.53=0$
$-0.03x=-1.53$
$x=51$

So the ball travels 51 yards in total.

4 0

3 years ago

Read 2 more answers

Convert the following fraction into a decimal. (you must include the decimal in your answer and round to the nearest thousandth)

alexandr1967 [171]

Answer: 6.250

Step-by-step explanation:

6 0

3 years ago