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3 years ago

A rectangle has a height of 4 and a width of x2 + 3x + 2.

Mathematics

1 answer:

otez555 [7]3 years ago

5 0

<h3><u>Given</u>:</h3>

A rectangle has a height of 4 and a width of x² + 3x + 2.

The area of the entire rectangle.

<h3><u>Solution</u>:</h3>

Hence, we know that area of rectangle is equals to the product of length and breadth.

Therefore, the area of rectangle is,

$= 4 \times( {x}^{2} +3x + 2 ) \\ = 4({x}^{2} + 3x + 2) \\ = \green{ \boxed{4 {x}^{2} + 12x + 8}}$

Therefore, the answer is 4x² + 12x + 8.

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3 years ago

Consider a square and a regular hexagon (a 6-sided figure with sides of equal length). One side of the square is 4 feet longer t

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Notice the picture below

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2 years ago

If F(x) =3x-2/6 which of the following is the inverse of f(x)

marissa [1.9K]

Answer:

$f^{-1}(x)=y/3-1/9$

Step-by-step explanation:

$f(x)=3x-2/6$

$f^{-1}(x)=x/3-1/9$

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answer: $f^{-1}(x)=(6x+2)/3$

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3 years ago

Triangle CAT was rotated to create triangle C'A'T'. Describe the transformation using details and degrees.

inysia [295]

Answer:

Triangle CAT was rotated 90 degrees clockwise around the origin.

Step-by-step explanation:

The coordinate points for A and A' are (-3,3) and (3,3). The change from A to A' from quadrant 2 to 1 is a 90 degree rotation in the clockwise direction. Each of the points are equal distance from the origin (0,0) and this is the center of rotation.

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3 years ago

Based on a poll, 60% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is

skad [1K]

Answer:

The probability that at least one of them is careful about personal information is 0.9744.

If the survey subjects volunteered to respond, then this a voluntary sampling and the estimated probability p may be biased, as only the people interested in the topic participate.

Given the subject of the survey, it is estimated that the ones who answered the survey are more careful about personal information and then the propability p is biased to a higher level than it should be if the sample was random.

Step-by-step explanation:

We can model this with a random variable, with sample size n=4 and probability of success p=0.6.

The probability that k individuals are more careful about personal information when using a public Wi-Fi hotspot in the sample is:

$P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{4}{k}\cdot0.6^k\cdot0.4^{4-k}$

We have to calculate the probability that 1 or more are more careful about personal information when using a public Wi-Fi hotspot. This can be calculated as:

$P(x\geq1)=1-P(x=0)\\\\\\P(x=0)=\dbinom{4}{0}\cdot0.6^{0}\cdot0.4^{4}=1\cdot1\cdot0.0256=0.0256\\\\\\P(x\geq1)=1-0.0256=0.9744$

The probability that 1 or more individuals in the sample are more careful about personal information when using a public Wi-Fi hotspot is 0.9744.

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3 years ago