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guapka [62]
2 years ago
7

A car approaches a stop sign going 10 m/s before coming to a stop. If it takes 5 seconds to

Mathematics
1 answer:
Levart [38]2 years ago
4 0

Answer:

The acceleration is: a = -2 m/s²

The negative sign indicates that velocity is decreasing with time.

Step-by-step explanation:

Given

  • Initial velocity u = 10 m/s
  • Final velocity v = 0
  • Time taken t = 5 seconds

To determine

Acceleration a = ?

Using the formula to determine the acceleration

a = (v - u) / t

substituting u = 10 m/s, v = 0 and t = 5

a = (0 - 10) / 5

a = -10 / 5

a = -2 m/s²

Thus,

The acceleration is: a = -2 m/s²

The negative sign indicates that velocity is decreasing with time.

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Multiply: (5x − 2)(4x2 − 3x − 2)
Alex Ar [27]
Hello there!

(5x - 2)(4x² - 3x - 2)

Use the distributive property

=(5x)(4x²) + (5x)(-3x) + (5x)(-2) + (-2)(4x²) + (-2)(-3x)² + (-2)(-2)

= 20x³ - 15x² - 10x - 8x² + 6x + 4

= 20x³ - 23x² -4x + 4


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2 years ago
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Suppose that the mean score on a creativity test is 16 and the standard deviation is 4. You are told that the distribution is no
Savatey [412]

Answer:

P(12

And we can find this probability on this way:

P(-1

We expect around 68.27% between the two scores provided.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(16,4)  

Where \mu=16 and \sigma=4

We are interested on this probability

P(12

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(12

And we can find this probability on this way:

P(-1

We expect around 68.27% between the two scores provided.

5 0
3 years ago
PLEASE ANSWER ASAP!!!
julsineya [31]

Answer:

The answer to your question is A) x = 1

Step-by-step explanation:

We know that f(x) = 2x + 3 and g(x) = -x + 6

But   f(x) = g(x)

Then,                          2x + 3 = - x + 6

                                   2x + x = 6 - 3

                                         3x = 3

                                          x = 3/3

                                          x = 1

The solution is circle in the graph below.

8 0
3 years ago
Multiple choice question!! Please help
qaws [65]
The solution is (1,3). This is where the two lines intersect.
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2 years ago
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