All categories

3 years ago

Find the quotient.the fraction8 1/3 divided by 4 1/2

Mathematics

1 answer:

Dahasolnce [82]3 years ago

7 0

Answer:

$8 \frac{1}{3} \div 4 \frac{1}{2} = \frac{50}{27} = 1.851 = 1 \frac{23}{27}$

You might be interested in

If U = {a, b, c, d, e, f, g, h}, A= {a, b, c, d, e) and B= {c, d, e, f, g), find A-B and A nB.

Assoli18 [71]

U = {a, b, c, d, e, f, g, h}, A= {a, b, c, d, e) and B= {c, d, e, f, g),

now,

A-B = {a,b}

A n B = { c,d,e}

3 0

3 years ago

Matt's pool table is 3 feet wide and 9 feet long. Matt wants to replace the felt on the pool table. The felt costs $4.00 per squ

RoseWind [281]

Answer:

$108

Step-by-step explanation:

3X9= 27square foot. Then you multiply 27 by 4, which equals $108

4 0

3 years ago

Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0

3 years ago

Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 kilometers away. It takes Amy 40 minutes t

ruslelena [56]

Bill and Amy travel the same distance from home to school of 14.4 kilometers. Amy takes 40 minutes of time to arrive to school which means she has a rate of 14.4 km /40 minutes or 6 meters/ second. Bill takes a total 60 minutes to arrive to school. Hence Bill's rate is equal to 14.4 km/60 minutes or 4 meters/ second.Amy's is 2 m/s faster than Bill's speed, then.

8 0

3 years ago

Can someone explain how to solve for x?

alina1380 [7]

Answer:

x=11

Step-by-step explanation:

Notice that the first diagram is similar with the second diagram with ratio 1:2

Ex: Side length of JK is 6 and NP being 12, 6:12→1:2

You can conclude that x:22 needs to follow the ratio of 1:2

Thus, x=11

8 0

3 years ago

Find the quotient.the fraction8 1/3 divided by 4 1/2​

Find the quotient.the fraction8 1/3 divided by 4 1/2