Four friends share 3535 of a rectangular pizza .What fraction of the pizza did each receive?

Which classification best describes the following system of equations? X=5, y=6, -x-y+z=0

PolarNik [594]

I don't see any answer choices, but because it already gives you x and y, all you have to do is plug them into the equation.
-(5)-(6)+z=0
combine like terms
-11 + z = 0
add 11 to both sides
z = 11 is your answer

7 0

2 years ago

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What's the volume? I honestly just need the formula.

Arturiano [62]

Answer:

$v=364.5\ m^3$

Step-by-step explanation:

Volume Of A Regular Solid

When a solid has a constant cross-section, the volume can be found by multiplying the area of the base by the height. The area of a trapezium is

$\displaystyle A_t=\frac{b_1+b_2}{2}h$

where $b_1$ and $b_2$ are the lengths of the parallel sides and h the distance between them.

The figure shows a solid with a trapezoid as the constant cross-section and a height x. The volume of the solid is

$\displaystyle v=A_t\ x$

$\displaystyle v=\frac{b_1+b_2}{2}\ h\ x$

The image doesn't explicitly say if the length of 4.5 is the height of the trapezium or the length of that side. We'll assume the first, so our data is:

$\displaystyle b_1=7m,\ b_2=11m,\ h=4.5m,\ x=9m$

We now compute the volume

$\displaystyle v=\frac{7+11}{2}.(4.5)(9)=364.5$

$\boxed{\displaystyle v=364.5\ m^3}$

8 0

3 years ago

Assume a binomial probability distribution with n=55 and π=0.34 . Compute the following: (Round all your z values to 2 decimal p

Aleks04 [339]

Answer: 0.8588

Step-by-step explanation:

Assume a binomial probability distribution with n = 40 and (symbol looks like a pie sign) = 0.55.

Compute the following: (Round the value for standard deviation and intermediate calculations to 2 decimal places and your final answer to 4 decimal places.)

The mean and standard deviation of the random variable.

mean = np = 40*0.55 = 22

std = sqrt(npq) = sqrt(22*0.45) = 3.1464

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The probability that X is 25 or greater.

P(25<= x <= 40) = 1 - binomcdf(40,0.55,24) = 0.2142

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The probability that X is between 15 and 25, inclusive.

P(15<= x <=25) = binomcdf(40,0.55,25)-binomcdf(40,0.55,14) = 0.8588

7 0

3 years ago

Which of the following sets are closed under multiplication? Select all that apply.

ivolga24 [154]

Answer:

Integers, whole numbers and polynomials are sets of closed under multiplication.

Only Irrational numbers are not the sets of closed under multiplication.

Step-by-step explanation:

To find : Which of the following sets are closed under multiplication?

1. Integers

Yes, integers is a sets of closed under multiplication as if you multiply an integer by an integer, you will always get another integer.

Example - $3\times 3=9$ is an integer

2. Irrational numbers

No, irrationals are not closed under multiplication.

Example - $\sqrt{3} \times \sqrt{3} =3$ is a rational number

3. Whole numbers

Yes, whole numbers is a sets of closed under multiplication as if you multiply a whole number by a whole number, you will always get another whole number.

Example - $5\times 5=25$ is a whole number

4. Polynomials

Yes, polynomial is sets of closed under multiplication as if you multiply the variables' exponents are added, and the exponents in polynomials are whole numbers so the new exponents will be whole numbers.

Example - $(x + 1)(x^2 + 4x + 3) = x^3 + 5x^2 + 7x + 3$ is a polynomial.

4 0

3 years ago

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Error analysis: describe and correct the error in solving the equation.

maw [93]

The only solution of the equation is x=0

8 0

2 years ago