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3 years ago

Solve for x. −2(x+14)+1=5 Enter your answer in the box.

Mathematics

2 answers:

abruzzese [7]3 years ago

4 0

Answer:

-16

Step-by-step explanation:

mylen [45]3 years ago

3 0

Answer: -16

Step-by-step explanation:

-2 (x+14)+1=5

-2x-28+1=5

-2x-27=5

-2x=32

-2x/-2=32/-2

x=-16

Hope this helps! :)

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A/ab-bsquare + b/ab-asquare?

lord [1]

Answer:

$\dfrac{(a+b)}{ab}$

Step-by-step explanation:

The given expression is :

$\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}$

It can be solved as follows :

$\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}=\dfrac{a}{b(a-b)}+\dfrac{b}{a(b-a)}\\\\=\dfrac{a}{b(a-b)}+\dfrac{b}{-a(-b+a)}\\\\=\dfrac{1}{a-b}(\dfrac{a}{b}-\dfrac{b}{a})\\\\=\dfrac{a^2-b^2}{ab(a-b)}\\\\=\dfrac{(a-b)(a+b)}{ab(a-b)}\\\\=\dfrac{(a+b)}{ab}$

So, the solution of the given expression is equal to $\dfrac{(a+b)}{ab}$ .

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3 years ago

Tracy is filling the box with unit cubes that are 1 inch on each side. She will fill the box with cubes without any gaps or over

balu736 [363]

Answer:

$Volume = 48in^3$

Step-by-step explanation:

Given

See attachment for box

Required

The volume of the box

The number of boxes in each direction represents the length of that dimension.

So, from the attachment

$Width = 4in$

$Length = 3in$

$Height = 4in$

The volume is:

$Volume = Length * Width * Height$

$Volume = 4in * 3in * 4in$

$Volume = 48in^3$

5 0

3 years ago

What does B(0) = 0 mean

MissTica

Answer:

It means <u>what is the y-value of the given function, if 0 is substituted in for x.</u>

Hope this helps!

3 0

3 years ago

A stack of cards consists of seven red and four blue cards. A second stack of cards consists of eleven red cards. A stack is sel

Ann [662]

Answer:

0.1733 = 17.33% probability the first stack was selected.

Step-by-step explanation:

To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

Conditional probability:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

Probability of all red cards for the first stack:

For this, we use the hypergeometric distribution, as the cards all chosen without replacement.

7 + 4 = 11 cards, which means that $N = 11$ .

7 red, which means that $k = 7$

3 are chosen, which means that $n = 3$

We want all red, so we find P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,11,3,7) = \frac{C_{7,3}*C_{4,0}}{C_{11,3}} = 0.2121$

Conditional probability:

Event A: All red

Event B: From the first stack.

Probability of all red cards:

0.2121 of 50%(first stack)

1 of 50%(second stack). So

$P(A) = 0.2121*0.5 + 1*0.5 = 0.60605$

Probability of all red cards and from the first stack:

0.21 of 0.5. So

$P(A \cap B) = 0.21*0.5 = 0.105$

What is the probability the first stack was selected?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.105}{0.60605} = 0.1733$

0.1733 = 17.33% probability the first stack was selected.

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3 years ago

Use the following building blocks to assemble a proof that if m and n are integers, and mn is even, then m is even or n is even.

Diano4ka-milaya [45]

Answer:

c your welcome

Step-by-step explanation:

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3 years ago

Solve for x. ​ −2(x+14)+1=5 ​ ​ Enter your answer in the box.

Solve for x. −2(x+14)+1=5 Enter your answer in the box.