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3 years ago

A) x and y are two numbers taken from the list below.

Mathematics

1 answer:

horsena [70]3 years ago

5 0

Answer:

a) i) The equation is satisfies of the values x = 6 and y=9

ii) The greatest possible value of 3x-2y is 20

iii) The least possible value of 3x – 2y is 2 and '0'

The value of 5(a – 4b) = -55

Step-by-step explanation:

Given x and y are two numbers taken from the list below

5 6 7 8 9 10

I will choose x = 6 and y = 9

3x - 2y = 3 (6) - 2(9) = 18 - 18 = 0

The equation is satisfies of the values x = 6 and y=9

ii)

we will choose x =10 and y = 5

3x - 2y = 3(10) - 2(5) = 30 -10 =20

The greatest possible value = 20

iii)

we will choose x =6 and y =8

3x - 2y = 3(6) -2(8) = 18-16 =2

we will choose x =6 and y =9

3x - 2y = 3 (6) - 2(9) = 18 - 18 = 0

Given value of 5(a – 4b)

substitute a = -7 and b = 1

5(a – 4b) = 5(-7-4(1)) = 5 (-11) = -55

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I believe the answer is 1. One is the only number that can go into both 8 and 9.

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2 years ago

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Margarita [4]

Answer:

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Step-by-step explanation:

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3 years ago

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

Aloiza [94]

The ball's maximum height is 30.25 feet.

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A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.

Given:

h= -16t²+36t+10

Differentiate w.r.t. 't',

h' = -32t+36

When h=0, that will be the maximum height

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t= 9/8

t= 1.125 sec.

So, The maximum height is

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1 year ago

Kenny has a 1/3 probability of getting a hit and a 1/6 probability of drawing a base-on-balls every time he appears at the plate

Aleonysh [2.5K]

Answer:

He expects that his bonus will be $210,000.

Step-by-step explanation:

For each plate appearence, there are only two possible outcomes. Either he gets on base(base hit or bases-on-balls), or he does not. The probability of getting on base on each plate appearence is independent of other plate appearences. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

600 plate appearances this year

So n = 600.

Expected number of hits

$p = \frac{1}{3}$

$E(X) = np = 600\frac{1}{3} = 200$

Expected number of base on balls.

$p = \frac{1}{6}$

$E(X) = np = 600\frac{1}{6} = 100$

Bonus

$1,000 for each hit and $100 for each base-on-balls he gets.

200*1,000 + 100*100 = 210,000

He expects that his bonus will be $210,000.

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3 years ago

The probability that a single radar station will detect an enemy plane is 0.65. (a) How many such stations are required to be 98

Inga [223]

Answer:

4 stations

Step-by-step explanation:

If we need to be at least 98% certain that an enemy plane flying over will be detected by at least one station, we must ensure that there is at most a 2% chance that no radar stations detect the plane.

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For n radar stations:

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Rounding up to the next whole station, at least 4 stations are needed.

4 0

3 years ago