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4 years ago

Solve the equation for x

ormula1" title=" \frac{8 + x}{x} - 5 = 0" alt=" \frac{8 + x}{x} - 5 = 0" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

IgorLugansk [536]4 years ago

7 0

$\bf \cfrac{8+x}{x}-5=0\implies \cfrac{8+x}{x}=5\implies 8+x=5x\implies 8=5x-x
\\\\\\
8=4x\implies \cfrac{8}{4}=x\implies 2=x$

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According to exit polling from the 2014 U.S. midterm elections, 36% of voters had a household income less than $50,000, while 64

Veseljchak [2.6K]

Answer:

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

Step-by-step explanation:

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.

In this question:

Event A: Republican

Event B: From a household that makes at least $50,000.

Probability of Republican:

43% of 36%(makes less than $50,000).

55% of 64%(makes more than $50,000).

$P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068$

Republican and from a household that makes at least $50,000.

55% of 64%. So

$P(A \cap B) = 0.55*0.64 = 0.352$

What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946$

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

4 0

4 years ago

The Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924 \pi square fee

Salsk061 [2.6K]

The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.

<h3>What is the volume of the sphere?</h3>

The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.

Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.

The volume of the dome will be calculated as below:-

SA = 13.924π

2πr² = 13.92π

r = √6.96

r = 2.63 feet

Volume = 2 / 3 πr³

Volume = ( 2 / 3 ) π ( 2.63)³

Volume = 12.24π cubic feet

Therefore, the volume of the spherical dome will be 12.9π cubic feet.

To know more about volume follow

brainly.com/question/24247548

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