Given:
unit rate: 20km/h

Speed = distance / time
20kmh = 30km / time
time = 20kmh / 30km
time = 2/3 hrs or 40 minutes

2/3 hrs * 60mins/hr = (2*60)/3 = 120/3 = 40 minutes

4 0

3 years ago

Read 2 more answers

The notation y = f(x) is called _______ notation.

Elis [28]

Answer:

Function notation

Step-by-step explanation:

y=f(x) is in function notation

8 0

3 years ago

Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob

miskamm [114]

Answer:

The probability is 28 % ( approx )

Step-by-step explanation:

Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),

So, this is a binomial distribution,

Binomial distribution formula,

Probability of success in x trials,

$P(x)=^nC_x p^x q^{n-x}$

Where, $^nC_x=\frac{n!}{x!(n-x)!}$

p and q are probability of success and failure respectively and n is the total number of trials.

Let X be the event of resident who are in his or her forties.

Here, p = 12% = 0.12,

⇒ q = 1 - p = 1 - 0.12 = 0.88,

n = 9,

Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)

$^9C_2 (0.12)^2 (0.88)^{9-2}+^9C_3 (0.12)^3 (0.88)^{9-3}$

$=36(0.12)^2 (0.88)^7+84(0.12)^3 (0.88)^6$

$=0.279266611163$

$\approx 0.28$

$=28\%$

7 0

3 years ago

Identify the corresponding word problem given the equation: x = 10.20 × 9

crimeas [40]

B) At a restaurant, William and eight friends divided the bill evenly. If each person paid $10.20, what was the total bill?

8 0

4 years ago