Mario surveyed the 17 healthiest patients in the hospital.

What is the product of these two binomials?

podryga [215]

Answer:

2x³ - x² - 10x + 5

Step-by-step explanation:

Use FOIL method.

(x² - 5) (2x - 1) = x²*2x +(x²)*(-1) + (-5)*(2x) + (-5)*(-1)

= 2x³ - x² - 10x + 5

8 0

2 years ago

You have a coin with unknown probability p of coming up heads. You wish to generate a random variable which takes the values 0 a

elixir [45]

Answer:

(a) Hence, the probability of reporting heads is 1/2.

(b) Therefore, the expected number of such trial is 1 / 2p (1 –p).

Step-by-step explanation:

Solution:

To generate a random variable takes value 0 and 1.

Let 0 < p <1,

A coin is flipped twice.

(a) Probability of reporting head is 1/2.

The result of two toss is either HT or TH.

In this case we used conditional property, Given that you got either HT or TH,

Probability of occurring head or tail:

P (1ST = H| HT or TH]

= P (H) / P (HT or TH)

= P (HT) / P (HT or TH)

= P (1-P) / P (1-P) + (1-P)P

= P (1-P) / 2P (1-P)

=1/2

Hence, the probability of reporting heads is 1/2.

(b) Expected number of flip before report a result.

The probability of reporting a result on each trial is:

P (HT or TH)

=P (HT) + P (TH)

=P (1-P) + (1 –P) P

= 2P (1 –P)

Since, E(X) = 1 / P

Therefore, the expected number of such trial is 1 / 2p (1 –p).

7 0

2 years ago

Vu is three times as old as Wu. In 25 years Wu will be twice as old as Vu. How old is Vu now?

Vinil7 [7]

Answer: Vu is 15 years old now.

Step-by-step explanation:

Let present age of WU be x.

Then, the present age of Vu = 3x

Also, After 25 years

Age of Wu = x+25

According to the question:

$(x+25)=2(3x)\\\\\Rightarrow\ x+25=6x\\\\\Rightarrow\5x=25\\\\\Rightarrow\ x=5$

Present age of Vu = 3(5) = 15

Hence, Vu is 15 years old now.

8 0

3 years ago

Robert and Katie Masterson bought 99 shares of oil stock at a price

anastassius [24]

Cost of oil stock
99×55=5,445+(25) commission=5470
Cost of steel stock
150×24=3600+150×0.20=3630

total combined amount
3,630+5,470=9,100

8 0

2 years ago

Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).

lisabon 2012 [21]

The y-intercept of linear function (f- g)(x) is (0,9)

<h3>How to determine the y-intercept?</h3>

The table of values is given as:

x -6 -4 -1 3 4

f(x) 15 11 5 -3 -5

g(x) -36 -26 -11 9 14

The equations of the functions is calculated using:

$y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1$

So, we have:

$f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15$

Evaluate

f(x) = -2x + 3

Also, we have:

$g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36$

Evaluate

g(x) = 5x - 6

Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

Read more about linear functions at:

brainly.com/question/24896196

#SPJ1

7 0

1 year ago