All categories

3 years ago

How long will it take Carlos to walk 8 miles if he is walking 2 mph?

Mathematics

2 answers:

Liula [17]3 years ago

5 0

8/2 = 4

answer: it will take Carlos 4 hours to walk 8 miles

anastassius [24]3 years ago

5 0

It will take carlos 4 hr if he walks 8 miles and hes walking it 2 mph
8*2=4

You might be interested in

I just need to find y explain please :p

QveST [7]

Rewrite in slope intercept from y=mx+b y=1-3x+11/3

7 0

3 years ago

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

3 years ago

I am the amount left over when a number canot be divided equally answer quick

Kryger [21]

Answer:

Remainder

Step-by-step explanation:

When a number can't be divided equally, there's an amount leftover. The leftover number is called a remainder

I'm not really great at explaining stuff, but I hope this helps!

4 0

2 years ago

LING'S HALLWAY IS 10 FEET LONG AND 4 FEET WIDE. HE PAID $200 TO TILE HIS HALLWAY FLOOR. HOW MUCH DID LING PAY PER SQUARE FOOT FO

ivanzaharov [21]

Answer:

Step-by-step explanation:

10x4/200=5

5 0

3 years ago

Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the cho

Contact [7]

Answer:

9 packages of chocolate bars

Step-by-step explanation:

Let he bought c packages of chocolate bars and t packages of toffee bars,

Since, he bought 1 fewer package of chocolate bars than toffee bars.

⇒ c = t - 1 -----(1)

Also, he handed out out $\frac{2}{3}$ of the chocolate bars and $\frac{3}{5}$ of the toffee bars,

If he handed out the same number of each kind of candy bar.

$\implies \frac{2}{3}\times c=\frac{3}{5}\times t$

$10c = 9t$ ( By cross multiplication )

$\implies t=\frac{10}{9}c$ ( Division property of equality )

From equation (1),

$c=\frac{10}{9}c-1$

$1=\frac{10}{9}c-c$

$1=\frac{10c-9c}{9}$

$1=\frac{c}{9}$

$\implies c = 9$

Hence, he bought 9 packages of chocolate bars.

4 0

2 years ago