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kaheart [24]
2 years ago
12

21 p?=u² + 2as u= 12 a = -3 s= 18 (a) Work out a value of v.

Mathematics
1 answer:
aalyn [17]2 years ago
6 0

Answer:

6 or -6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • v^2 = 12^2 + 2(-3)(18)
  • v^2 = 144 + (-6)(18)
  • v^2 = 144- 108
  • v^2 = 36

Step 2: Take square root of both sides.

  • \sqrt{v^2} = ± \sqrt{36}
  • v =  ± \sqrt{36}
  • v = 6 or -6

Therefore, the answer is 6 or -6.

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The distance from Portland to Seaside is 75 miles what is the distance in inches on the map which scale of 1.25 in:25 mi
jek_recluse [69]

Answer:

1.25in/25mi = x/75mi

25x = 93.75

x = 3.75

<u>3.75 inches</u>

5 0
3 years ago
Please help I need help with this homework ASAP!!
WARRIOR [948]
8/12 and 4/6 and10/15 and20/30 and 40/60
6 0
3 years ago
The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.
evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}

b) P(population with IQ between 120 and 125.)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%

P(120 \leq x \leq 125) = 4.4\%

6 0
3 years ago
If a and B are the zeros of the quadratic polynomial f(x) = x2- 5x + 4 find the value of 1/a+1/b-2ab
bearhunter [10]

Answer:

<h2>-27/4</h2>

Step-by-step explanation:

Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.

Factorizing the resulting equation to get the roots

x²- 5x + 4 = 0

(x²- x)-(4 x + 4) = 0

x(x-1)-4(x-1) = 0

(x-1)(x-4) = 0

x-1 = 0 and x-4 = 0

x = 1 and x = 4

Since a and b are known to be the root then we can say a = 1 and b =4

Substituting the given values into the equation  1/a+1/b-2 ab , we will have;

= 1/1 + 1/4 - 2*1*4

= 1 + 1/4 - 8

= 5/4 - 8

Find the Lowest common multiple

= (5-32)/4

= -27/4

<em>Hence the required value is -27/4</em>

5 0
3 years ago
What is the volume of the portion of the sphere in which the students' favorite color is red? Round your answer to the nearest t
Finger [1]

Answer:

.28

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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