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4 years ago

Find 2 2/3 / 4 1/3 . Simplify the answer and write as a mixed number if appropriate.

Mathematics

2 answers:

Delvig [45]4 years ago

8 0

2 2/3 ÷ 4 1/3 = 8/13

SSSSS [86.1K]4 years ago

3 0

Turn both fractions to improper.

2 2/3 = multiply whole number by the denominator. which is 6. now add the numerator with 6. and this equals to 8. now use 8 as a numerator and keep the same denominator. so it should be 8/3.

Do the same thing for 4 1/3 and you get 13/3.

now you both have improper fractions.

= 8/3 divided by 13/3 .

flip the second fraction, : 13/3, and this is called reciprocal.

And turn the division sign to multiplication.

= 8/3 x 3/13

multiply both numerators and denominators.

8 x 3 = 24

3 x 13= 39

now you have 24 / 39

you can further simplify it. both are divisible by 3.

24 divided by 3 is 8

39 divided by 3 is 13

Now your fraction remain as: 8/13.

This is the farthest it can simplify. so your answer is 8/13.

thank you for posting your answer here on brainly, have a great day!

Please mark as brainliest so i can answer more! :)

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How many gallons per day is 32 ounces per day?

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Answer: 4096

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3 years ago

A plane rises from take-off and flies at an angle of 9 degrees with the horizontal runway. When it has gained 500 feet, find t

Len [333]

Answer:

The dashed hypotenuse measures: 3,205.13 ft.

Step-by-step explanation:

. B (Plane is here)

. .

A . . . . . . . C

BC = 500 ft

Angle (Ф) between AB and AC = 9 degrees

So,

Sin(Ф) = BC/AB

Since we need to know how much hypotenuse AB measures, Let's isolate it from the equation:

AB = BC / Sin (Ф)

AB = 500 ft. / Sin (9)

AB = 500 ft./ 0.156

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8 0

4 years ago

There is a 70 percent chance that an airline passenger will check bags. In the next 16 passengers that check in for their flight

GenaCL600 [577]

Answer:

a) $P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.00332$

b) $P(X$

And we can find the individual probabilities like this:

$P(X=10)=(16C10)(0.7)^{10} (1-0.7)^{16-10}=0.1649$

$P(X=11)=(16C11)(0.7)^{11} (1-0.7)^{16-11}=0.2099$

$P(X=12)=(16C12)(0.7)^{12} (1-0.7)^{16-12}=0.2040$

$P(X=13)=(16C13)(0.7)^{13} (1-0.7)^{16-13}=0.1465$

$P(X=14)=(16C14)(0.7)^{14} (1-0.7)^{16-14}=0.0732$

$P(X=15)=(16C15)(0.7)^{15} (1-0.7)^{16-15}=0.0228$

$P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.0033$

And replacing we got:

$P(X$

c) $P(x \geq 10) = P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)$

And replacing we got 0.825

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=17, p=0.7)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Part a

And we want to find this probability:

$P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.00332$

Part b fewer than 10 will check bags

We want this probability:

$P(X$

We can use the complement rule and we have:

$P(X$

And we can find the individual probabilities like this:

$P(X=10)=(16C10)(0.7)^{10} (1-0.7)^{16-10}=0.1649$

$P(X=11)=(16C11)(0.7)^{11} (1-0.7)^{16-11}=0.2099$

$P(X=12)=(16C12)(0.7)^{12} (1-0.7)^{16-12}=0.2040$

$P(X=13)=(16C13)(0.7)^{13} (1-0.7)^{16-13}=0.1465$

$P(X=14)=(16C14)(0.7)^{14} (1-0.7)^{16-14}=0.0732$

$P(X=15)=(16C15)(0.7)^{15} (1-0.7)^{16-15}=0.0228$

$P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.0033$

And replacing we got:

$P(X$

Part c at least 10 bags

We can find this probability like this:

$P(x \geq 10) = P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)$

And replacing we got 0.825

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3 years ago

The total cost of a new autombile, including a 4% sales tax on the price of the automobile, is $28,835. how much of the total co

lara [203]

We can write the first part of this problem as: What is 6.5% of $29,990.

"Percent" or "%" means "per 100" or "out of 100". Therefore

6.5 hope this helps (:

can be written as

6.5

100

When dealing with percentages the word "of" means the product of or to multiply.

Let's call the sales tax amount we are looking for

We can now write the problem as:

6.5

100

29990

194935

100

1949.35

The sales tax on the car is: $1,949.35.

The total price of the car is then:

990.00

949.35

8 0

3 years ago

The algebraic expression 2x -4 when x=8 is evaluated as

jok3333 [9.3K]

Answer:

Step-by-step explanation:

2x-4

Subsitute x for 8 2(8)-4

Simply 16-4

3 0

3 years ago