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3 years ago

27 minus ³/² of a number(x) is not more than 36. What is the number

Mathematics

1 answer:

balu736 [363]3 years ago

4 0

Answer:

-6

Step-by-step explanation:

27 - 1.5x ≤ 36

54 - 3x ≤ 72

54 - 72 ≤3x

-18 ≤ 3x

-6 ≤ x

x ≥ -6 Hope this helped and sorry if its wrong

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The function f(x) = −x2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in

natta225 [31]

Answer:

<u>The zero is x = 5, and it represents that the diver will enter the pool's surface 5 feet in front of the diving board.</u>

Explanation:

The function is f(x) = - x² - 5x + 50.

Where:

f(x) is the vertical distance of a diver from a pool's surface, and

x is the horizontal distance of a diver from the diving board.

A zero of f(x) represents a point where the diver is at the surface of the pool. There might be two possible zeros.

Solve the equation to determine the zeros:

- x² - 5x + 50 = 0

Multiply both sides by - 1: x² + 5x - 50

Factor: (x + 10) (x - 5) = 0

Use zero product property: x + 10 = 0 or x - 5 = 0

From x + 10 = 0 you get x = - 10

From x - 5 = 0 you get x = 5.

The negative zero is not valid as it would be a point behind the diving board, so the meaningful zero is when x = 5, meaning that the diver will touch the surface of the pool at 5 feet in front of the diving board.

5 0

3 years ago

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At a local University, it is reported that 81% of students own a wireless device. If 5 students are selected at random, what is

Sphinxa [80]

Answer:

34.87% probability that all 5 have a wireless device

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they own a wireless device, or they do not. The probability of a student owning a wireless device is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

81% of students own a wireless device.

This means that $p = 0.81$

If 5 students are selected at random, what is the probability that all 5 have a wireless device?

This is P(X = 5) when n = 5. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{5,5}.(0.81)^{5}.(0.19)^{0} = 0.3487$

34.87% probability that all 5 have a wireless device

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3 years ago

Geometry question ,,,,,

Gnom [1K]

Answer:

Oh its 35.8 I got t that answer from my thing

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3 years ago

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A rectangle has a height of 6k3 and a width of 2k2 + 4k +5.

Trava [24]

Answer: $12k^5+24k^4+30k^3$

Step-by-step explanation:

Given : The height of the rectangle = $6k^3$

The width of the rectangle = $2k^2+4k+5$

Formula : Area = height x width

Therefore , the area of triangle in terms of polynomial will be :

$6k^3\times( 2k^2+4k+5)\\\\= 6k^3(2k^2)+6k^3(4k)+6k^3(5)\ \ [\text{Using Distributive property}]\\\\=12k^{3+2}+24k^{3+1}+30k^3\ \ [\text{Using exponents rule}:\ a^n\times a^m=a^{n+m}]\\\\=12k^5+24k^4+30k^3$

Hence, the area of the entire rectangle = $12k^5+24k^4+30k^3$

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4 years ago

123456789+32145688977

Rudiy27

Answer:

It's 32269145766

7 0

3 years ago

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