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3 years ago

5

calculate the volume of the prism by first finding the total number of half unit cubes that will fill it. there are 8 half unit

cubes in every unit cubes.

1 answer:

babunello [35]3 years ago

7 0

Answer:

8 half units

Step-by-step explanation:

if there is one cube in ever unit its 8 x 1

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A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelt

inysia [295]

Answer: The number of dogs in all of the city's animal shelters is puppies = 270

Step-by-step explanation:

Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.

The city's animal shelters collectively house 1,485 dogs each year.

The number of dogs in all of the city's animal shelters is puppies = $1485\times\dfrac{10}{55}=270$

Hence, The number of dogs in all of the city's animal shelters is puppies = 270

7 0

3 years ago

Solve the following equation: 3x^3+5x^2-4x-4=0

Rama09 [41]

Answer:

1

Step-by-step explanation:

Simplifying

3x + 2(4x + -4) = 3

Reorder the terms:

3x + 2(-4 + 4x) = 3

3x + (-4 * 2 + 4x * 2) = 3

3x + (-8 + 8x) = 3

Reorder the terms:

-8 + 3x + 8x = 3

Combine like terms: 3x + 8x = 11x

-8 + 11x = 3

Solving

-8 + 11x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 11x = 3 + 8

Combine like terms: -8 + 8 = 0

0 + 11x = 3 + 8

11x = 3 + 8

Combine like terms: 3 + 8 = 11

11x = 11

Divide each side by '11'.

x = 1

Simplifying

x = 1

5 0

3 years ago

It was reported that 23% of U.S. adult cellphone owners called a friend for advice about a purchase while in a store. If a sampl

leva [86]

Answer:

$P(X=7)$

And using the probability mass function we got:

$P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271$

Step-by-step explanation:

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

$X \sim Binom(n=15, p=0.23)$

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:

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

And we want to find the following probability:

$P(X=7)$

And using the probability mass function we got:

$P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271$

5 0

3 years ago

Help! You can look at the picture please

viva [34]

Answer:

$\frac{3x}{3 - 2x}$

Step-by-step explanation:

Here,

f(x) = y

$y = \frac{3x}{2x + 3}$

or , swapping x with y

$x = \frac{3y}{2y + 3}$

now to solve for y we get

$y = \frac{3x}{3 - 2x}$

now we put f inverse x instead of y

${f}^{ - 1} (x) = \frac{3x}{3 - 2x}$

I am done.

4 0

3 years ago

Read 2 more answers

Coles has cut the price of Cadbury's chocolate bars by 20%. Their normal price is $3.45. A shareholder who has a Coles-Myer disc

pickupchik [31]

The first discounted price is given through the equation,
discounted price = ($3.45)(1 - 0.20) = $2.76
Then, due to the privilege of being a Coles-Myer discount card holder, another 7.5% discount is given. Such that the final price would be,
final price = ($2.76)(1 - 0.075) = $2.553
The total amount saved up is equal to,
$3.45 - $2.553 = $0.897

5 0

3 years ago