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1 year ago

I’m stuck on this question. any help would be greatly appreciated

Mathematics

1 answer:

Mademuasel [1]1 year ago

4 0

Using the Pythagorean theorem we get:

$y^2+8^2=12^2.$

Simplifying the above result we get:

$y^2+64=144.$

Subtracting 64 from the above equation we get:

$\begin{gathered} y^2+64-64=144-64, \\ y^2=80. \end{gathered}$

Therefore:

$y=\sqrt{80}\approx8.9.$

Answer:

$y=8.9.$

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worty [1.4K]

The right answer is "2"
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2 years ago

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An automobile insurance company issues a one-year policy with a deductible of 500. The probability is 0.8 that the insured autom

Effectus [21]

Answer:

y₀.₉₅ = 3659

Step-by-step explanation:

P( no accident ) = 0.8

P( one accident ) = 0

deductible = 500

mean = 3000

<u>Determine the 95th percentile of the insurance company payout </u>

Assuming : y =company payout , x =amount of loss incurred due to accident

Then :

P( x < 500 ) = 0.2 ( 1 - e^-500/3000)

= 0.2 ( 1 - e^-1/6 )

95th percentile =

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attached below is the remainder of the solution

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3 years ago

Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6

FinnZ [79.3K]

Answer:

y = - $\frac{1}{16}$ (x - 1)² + 2

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

$\sqrt{(x-1)^2+(y+2)^2^}$ = | y - 6 |

Square both sides

(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )

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3 years ago

Set up the equation to find the AREA of the SMALL rectangle with a length of (x) and width (x+7)

Igoryamba

<u>Answer:</u>

<u>Step-by-step explanation:</u>

To find the area of a rectangle, we have to multiply the length with the width.

In the question, the given length is 'x' and the width given is 'x +7'

So, the area would be

( $x$ ) x ( $x + 7$ )

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3 years ago

Travis has decided to budget his spending money. He can spend no more

Oxana [17]

$x + 4.3x \leq 125.75$ is the inequality that describes this problem

<h3><u>Solution:</u></h3>

Given that Travis can spend no more than $125.75 every month

To find: linear inequality that describes the problem

Let the amount spent on movies = x dollars

Given that Travis decided to spend 4.3 times as much money on video games as he spends on movies

Amount spent on video games = 4.3 (amount spent on movies)

Amount spent on video games = 4.3x

Travis can spend no more than $125.75. That is, he can spend less than or equal to $125.75

<em><u>Thus, the inequality representing the situation is:</u></em>

$\text{ Amount spent on movies + Amount spent on video games } \leq 125.75$

$x + 4.3x \leq 125.75$

Thus the required inequality is found

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3 years ago