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damaskus [11]
3 years ago
5

Jessica checked her gas mileage and found that she had used 17.4 gal of gas to travel 396 mi. At this rate, how many gallons wil

l she use to travel from Los Angeles to Miami, a distance of 2735 mi.
Mathematics
1 answer:
Anestetic [448]3 years ago
4 0
So,

We can set up an equation.
\frac{17.4}{396} =  \frac{x}{2735}

Multiply both sides by the LCM.
47,589 = 396x

Divide both sides by 396.
170.17\overline{42}\ gallons = x

Jessica will use approximately 171 gallons of gas.
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What is the future value of $1,740 in 16 years assuming an interest rate of 6.75 percent compounded semiannually?
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3 years ago
A box contains 1.0 red chips, 20.bluechips, and 30 green chips. ll5 chrps are orawn lrom the box, find the probability of drawin
alexira [117]

Answer:

Step-by-step explanation:

Let S be the sample space of an experiment and E is an event associated with the experiment.

Let n(S) and n(E) denote the number of element in S and E.

P(E) is the probability of an event E

The number of elements on the sample space ;

n(S) = n(r) + n(b) + n(g) = 10 + 20 + 30 = 60

Hence, the event of drawing 5chips from the box n(S) = C(60,5)

A) probability of drawing 5chips from the box which are all blue ;

P(E) = n(E) / n(S) = 20C5 x 40C0 / 60C5 = 0.0028

by combination method ; nCr = n!/r!(n - r)!

B) the probability of drawing the indicated chips at least 1 green ;

Application of the binomial formula comes in ; nCr x p^r x q^n-r

= P(E) = 1 - p(x <1) = 1 - po = 1 - 30C0 x 30C5 / 60C5

= 0.9739

C)  the probability of drawing the indicated chips at most 1 red;

P(E) = p(no red) + p(one red)

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= 0.8096

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3 years ago
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Step-by-step explanation:

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The equation of the line passing through the points (3, 16) and (5, 10) can be expressed as y = mx + b. Give the value of b
Alenkinab [10]

we are given two points as

(3, 16) and (5, 10)

firstly , we will find slope

slope is m

so, we can use formula

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug points

m=\frac{10-16}{5-3}

m=\frac{-6}{2}

m=-3

we can plug it in y=mx+b

we get

y=-3x+b

now, we can select any one points

and find b

(3,16)

x=3 and y=16

16=-3*3+b

we can find b

b=25

now, we can plug back b

and we get

y=-3x+25

so, equation is

y=-3x+25

and

b=25...............Answer

8 0
3 years ago
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