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2 years ago

Mrs. Evans drove 24 miles on 3 gallons of gas. What is her unit rate in miles per gallon??

Mathematics

1 answer:

son4ous [18]2 years ago

8 0

Answer: 8 miles

Step-by-step explanation:

24/3=8

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1/2-1/4<br><br> help?:) uhhhh thankssss

sertanlavr [38]

1/2 - 1/4 = 2/4 - 1/4 = 1/4

I hope this helps!

4 0

2 years ago

Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett

valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

With 5 shoots, the probability of making at least one is $\frac{211}{243}$ , hence the probability of making none, P(X = 0), is $\frac{232}{243}$ , hence:

$(1 - p)^5 = \frac{232}{243}$

$\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}$

1 - p = 0.9908

p = 0.0092

Then, with 6 shoots, the parameters are:

n = 6, p = 0.0092.

The probability that at least two of them make it inside the recycling bin is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

[P(X < 2) = P(X = 0) + P(X = 1)

Then:

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

$P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461$

$P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012$

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0

1 year ago

On a road map the distance between two cities is 2.5 in the map scale is 1 inch equals 30 miles what is the actual distance betw

Elenna [48]

Answer:

Step-by-step explanation:

duh

8 0

2 years ago

Tito bought a rare album for $68.00 and later sold it for $76.00. What is the percent of increase, rounded to the nearest tenth?

gogolik [260]

70-80=10
hope this help the
68 rounded to the nearest tenth equals 70
and 76 rounded to the nearest tenth equals 80
so if you subtract 80-70=10 Tito increased the percent up to 10 dollars

8 0

2 years ago

Read 2 more answers

I need help ASAP pls help

Veseljchak [2.6K]

Answer:

tge radius is half the diameter so 1/2 of 3 1/2 =1.75 or 1 3/4

7 0

2 years ago