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2 years ago

Harold drives 140 miles in 2.5 hours. If he continues at this rate, how many miles does he drive in 6 hours total?

1 answer:

7 0

Calculate for unit rate (1)
so divide 2.5 by each section
140/2.5 = 56
2.5/2.5 = 1
56 miles completed in one hour
so 56 * 6 = 336
336 miles are completed in 6 hours

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John buys 6 shirts. For every shirt you purchase you get one for 30% off. If the normal price for each shirt is $20.00 dollars,

algol [13]

Answer:

78.

Step-by-step explanation:

the reason this is 78 is because you divide 6 by two then get 3. 3*20=60. 30% of 20 is 6. 6*3 is 18 plus 60=78

6 0

2 years ago

This side of square S is twice the diameter of circle C what is the greatest possible number of points of intersection of perime

Dafna1 [17]

Answer:

Step-by-step explanation:

C is too small to have more.

5 0

2 years ago

There are two misshapen coins in a box; their probabilities for landing on heads when they are flipped are, respectively, .4 and

Leokris [45]

Answer:

E(X) = 6.0706

Step-by-step explanation:

1) Define notation

X = random variable who represents the number of heads in the 10 first tosses

Y = random variable who represents the number of heads in range within toss number 4 to toss number 10

And we can define the following events

a= The first coin has been selected

b= The second coin has been selected

c= represent that we have 2 Heads within the first two tosses

2) Formulas to apply

We need to find E(X|c) = ?

If we use the total law of probability we can find E(Y)

E(Y) = E(Y|a) P(a|c) + E(Y|b)P(b|c) ....(1)

Finding P(a|c) and using the Bayes rule we have:

P(a|c) = P(c|a) P(a) / P(c) ...(2)

Replacing P(c) using the total law of probability:

P(a|c) = [P(c|a) P(a)] /[P(c|a) P(a) + P(c|b) P(b)] ... (3)

We can find the probabilities required

P(a) = P(b) = 0.5

P(c|a) = (3C2) (0.4^2) (0.6) = 0.288

P(c|b) = (3C2)(0.7^2) (0.3) = 0.441

Replacing the values into P(a|c) we got

P(a|c) = (0.288 x 0.5) /(0.288x 0.5 + 0.441x0.5) = 0.144/ 0.3645 = 0.39506

Since P(a|c) + P(b|c) = 1. With this we can find P(b|c) = 1 - P(a|c) = 1-0.39506 = 0.60494

After this we can find the expected values

E(Y|a) = 7x 0.4 = 2.8

E(Y|b) = 7x 0.7 = 4.9

Finally replacing the values into equation (1) we got

E(Y|c) = 2.8x 0.39506 + 4.9x0.60494 = 4.0706

And finally :

E(X|c) = 2+ E(Y|c) = 2+ 4.0706 = 6.0706

6 0

2 years ago

The maximum recommended slope of wheelchair ramp is 1/12. A business installs a wheelchair ramp that rises 22inches over a horiz

Olin [163]

Given parameters:

Recommend wheelchari ramp slope = $\frac{1}{12}$

Rise of the new wheel chair ramp = 22 inches

Horizontal length = 24feet

Unknown:

Is the ramp steeper than the recommended = ?

Slope is the ratio of rise to the horizontal distance covered

Mathematically;

Slope = $\frac{Rise}{horizontal distance}$

Slope of the wheel chair ramp;

covert 24 feet to inches;

1 foot = 12 inches

24 feet = 24 x `12 = 288inches

Slope = $\frac{22}{288 }$ = $\frac{11}{144}$

The two slopes being compared are;

$\frac{1}{12}$ and $\frac{11}{144}$

The steeper of the first one 1/12. It has a higher slope compared to the second one.

4 0

2 years ago

1. Which situation does NOT represent a functional relationship?

Alex

Answer:

1. D
2. C

Step-by-step explanation:

1. .....................................................................................................

A. This is a functional relationship as the number of workers depend on the number of job sites.

y = 5x

B. This is a functional relationship as the amount of money is dependent on the number of withdrawals

y = 2500 - 200x

C. This is a functional relationship as the number of vitamins depend on the number of monkeys

y = 3x

D. This is NOT a functional relationship as the output is a fixed value. The performance and scoring may repeat.

2. .....................................................................................................

<h3>Given</h3>

A = 62x -100
B = 2x - 3

<h3>Solution</h3>

A/B =
(62x - 100)/(2x - 3) =
(31*2x - 31*3 - 7)/(2x - 3) =
(31(2x - 3) -7)/(2x - 3) =
31 - 7/(2x - 3)

Correct option is C.

7 0

2 years ago