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2 years ago

What type of number can be written as a fraction p/q, where p and q are

Mathematics

1 answer:

Alexus [3.1K]2 years ago

7 0

Answer:

Rational Numbers.

Step-by-step explanation:

These include terminating and repeating decimals. Numbers that can't be expressed as the type of fraction you've described are called Irrational Numbers.

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Tara goes on a weekend road trip to see her best friend Natosha Tara lives in Memphis Tennessee and Natasha lives in Nashville w

Sloan [31]

Answer:

It will take Tara 3 hours to get to Nashville. If they meet, it would take them 1 hour and 46 minutes or 1.766 hours.

Step-by-step explanation:

Divide 212 miles by 65 mph: 212÷65=3.2 and 3.2 rounded is 3. They will each drive half the way if they meet in the middle, so 212 miles divided by 2 is 106. Divide that by 60: 106/60=1.766. That is equivalent to 1 hour and 46 minutes.

7 0

2 years ago

What does the y-intercept represent?

lara31 [8.8K]

Where a line goes across the y axis
Or in the formula y = mx + c, the y axis is represented by c

8 0

2 years ago

Read 2 more answers

The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$

1. If x=0.5, then the slope is

$\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333$

2. If x=0.9, then the slope is

$\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632$

3. If x=0.99, then the slope is

$\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513$

4. If x=0.999, then the slope is

$\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501$

5. If x=1.5, then the slope is

$\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2$

6. If x=1.1, then the slope is

$\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381$

7. If x=1.01, then the slope is

$\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488$

8. If x=1.001, then the slope is

$\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499$

7 0

2 years ago

You play two games against the same opponent. The probability you win the first game is 0.4. If you win the first game, the prob

Ilia_Sergeevich [38]

Answer:

a) No

b) 42%

c) 8%

d) X 0 1 2

P(X) 42% 50% 8%

e) 0.62

Step-by-step explanation:

a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.

b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6

P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7

P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

c) P(win first game) = 0.4

P(win second game) = 0.2

P(win both games) = P(win first game) × P(win second game) = 0.4 × 0.2 = 0.08 = 8%

d) X 0 1 2

P(X) 42% 50% 8%

P(X = 0) = P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

P(X = 1) = [ P(lose first game) × P(win second game)] + [ P(win first game) × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%

e) The expected value $\mu=\Sigma}xP(x)= (0*0.42)+(1*0.5)+(2*0.08)=0.66$

f) Variance $\sigma^2=\Sigma(x-\mu^2)p(x)= (0-0.66)^2*0.42+ (1-0.66)^2*0.5+ (2-0.66)^2*0.08=0.3844$

Standard deviation $\sigma=\sqrt{variance} = \sqrt{0.3844}=0.62$

8 0

2 years ago

Part 3: Complete the following metric conversions. Make sure to show all work to receive credit! You may

koban [17]

Answer:

13) 2 g

14) 5,000 mL

15) 104,000 m

16) 160 mm

17) 5,600,000 mg

19) 0.25 km

Step-by-step explanation:

13. Convert 2,000 mg to g:

1 mg = 0.001 g

(2,000 mg * 0.001 g) / 1 mg = 2 g

14. Convert 5 L to mL:

1 L = 1000 mL

(5 L * 1000 mL) / 1 L = 5,000 mL

15. Convert 104 km to m:

1 km = 1000 m

(104 km * 1000 m) / 1 km = 104,000 m

16. Convert 16 cm to mm:

1 cm = 10 mm

(16 cm * 10 mm) / 1 cm = 160 mm

17. Convert 5.6 kg to mg:

1 kg = 1,000,000 mg

(5.6 kg * 1,000,000 mg) / 1 kg = 5,600,000 mg

19) Convert 250 m to km:

1 m = 0.001 km

(250 m * 0.001 km) / 1 m = 0.25 km

6 0

2 years ago