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3 years ago

Please help last one today

Mathematics

2 answers:

Fiesta28 [93]3 years ago

7 0

This is simple. You have to find the LCD here, on the fractions. The whole numbers you can just add together (whole numbers=5 and 2 in this case)

5+2=7. Your first number is 7

Find the LCD (Least common denominator) of 6 and 10. Do this by multiplying 6 by anything that comes to mind, and then multiply 10 by anything that comes to mind. The LEAST large outcome that is the SAME for both numbers is the LCD. 10 is easy, so let's only focus on 6. Think, what times 6 equals a number between 1-100 (just an example)
Well, 6*5=30. 10*3=30. DING!!

Now, your fractions look like: 5 5/30 divided by 2 1/30
What you do to the denominator you have to do to the numerator. Now, take 5 and multiply it by 5 (because for the denominator, 6*5=30)
Take 1 and multiply it by 3 (because for the denom. 10*3=30)
NOW you have: 5 and 25/30 divided by 2 and 3/30
Now just add!
5+2=7, 25 and 3=28, and the denominators don't change

Your answer is 7 and 28/30
~Hope this helps!

murzikaleks [220]3 years ago

4 0

7 28/30 is the answer

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Drag the expressions into the boxes to correctly complete the table.

lora16 [44]

Answer:

SUMMARY:

$x^4+\frac{5}{x^3}-\sqrt{x}+8$ → Not a Polynomial

$-x^5+7x-\frac{1}{2}x^2+9$ → A Polynomial

$x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi$ → A Polynomial

$\left|x\right|^2+4\sqrt{x}-2$ → Not a Polynomial

$x^3-4x-3$ → A Polynomial

$\frac{4}{x^2-4x+3}$ → Not a Polynomial

Step-by-step explanation:

The algebraic expressions are said to be the polynomials in one variable which consist of terms in the form $ax^n$ .

Here:

$n$ = non-negative integer

$a$ = is a real number (also the the coefficient of the term).

Lets check whether the Algebraic Expression are polynomials or not.

Given the expression

$x^4+\frac{5}{x^3}-\sqrt{x}+8$

If an algebraic expression contains a radical in it then it isn’t a polynomial. In the given algebraic expression contains $\sqrt{x}$ , so it is not a polynomial.

Also it contains the term $\frac{5}{x^3}$ which can be written as $5x^{-3}$ , meaning this algebraic expression really has a negative exponent in it which is not allowed. Therefore, the expression $x^4+\frac{5}{x^3}-\sqrt{x}+8$ is not a polynomial.

Given the expression

$-x^5+7x-\frac{1}{2}x^2+9$

This algebraic expression is a polynomial. The degree of a polynomial in one variable is considered to be the largest power in the polynomial. Therefore, the algebraic expression is a polynomial is a polynomial with degree 5.

Given the expression

$x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi$

in a polynomial with a degree 4. Notice, the coefficient of the term can be in radical. No issue!

Given the expression

$\left|x\right|^2+4\sqrt{x}-2$

is not a polynomial because algebraic expression contains a radical in it.

Given the expression

$x^3-4x-3$

a polynomial with a degree 3. As it does not violate any condition as mentioned above.

Given the expression

$\frac{4}{x^2-4x+3}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}$

Therefore, is not a polynomial because algebraic expression really has a negative exponent in it which is not allowed.

SUMMARY:

$x^4+\frac{5}{x^3}-\sqrt{x}+8$ → Not a Polynomial

$-x^5+7x-\frac{1}{2}x^2+9$ → A Polynomial

$x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi$ → A Polynomial

$\left|x\right|^2+4\sqrt{x}-2$ → Not a Polynomial

$x^3-4x-3$ → A Polynomial

$\frac{4}{x^2-4x+3}$ → Not a Polynomial

3 0

3 years ago

According to the MIT Airline Data Project, American Airlines controlled 15.5% of the domestic market during a recent year. A ran

Naya [18.7K]

Answer:

0.0143

Step-by-step explanation:

In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.

We proceed as follows;

The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155

Let’s call this probability p

The probability that he/she isn’t on the flight, let’s call this q

q =1 - p= 0.845

Sample size, n = 155

P(X < A) = P(Z < (A - mean)/standard deviation)

Mean = np

= 125 x 0.155

= 19.375

Standard deviation = √npq

= √ (125 x 0.155x 0.845)

= 4.0462

P(10 or fewer passengers were on American Airline flights) = P(X \leq 10)

= P(Z < (10.5 - 19.375)/4.0462)

= P(Z < -2.19)

= 0.0143

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Delia went to the market to buy 4.5 pounds of sliced fruit in a container.she paid with a 20 bill and a 5 bill and received 3.67

Goryan [66]

Answer:

<h2>One pound of the item will cost 4.74 bill</h2>

Step-by-step explanation:

In this problem, we are told that Delia bought 4.5 pounds of fruit

and paid with a toa total bill of 20+5= 25 bill

and also she received a change of 3.67

this means that the item she bought cost 25-3.67= 21.33bill

now if 4.5 pounds of items cost 21.33 bill

then 1 pound will cost Xbill

cross multiply and solve for Xbill

X= 21.33/4.5

X= 4.74 bill

One pound of the item will cost 4.74 bill

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dezoksy [38]

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schepotkina [342]

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