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Scilla [17]
3 years ago
10

Someone please help!!!!! WILL MARK BRAINLIEST ​

Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

y = (1/2)x + 1

Step-by-step explanation:

linear line equation is y = mx + b

Where m is the slope and b is the y-intercept when x is 0.

For m, m is change in y(delta y) over change in x(delta x).

We are given two points: (0,1) and (4,3).

m = (y2 - y1)/(x2 - x1) = (3-1)/(4-0) = 2/4 = 1/2

y = (1/2)x + b

Now plug in (0,1) into above equation to find b value.

1 = (1/2)0 + b => b = 1

Final equation is y = (1/2)x + 1

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The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a
AlekseyPX

Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

Step-by-step explanation:

We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.

<u><em>Let X = time for this event for boys in secondary school</em></u>

SO, X ~ Normal(\mu=460,\sigma^{2} =40^{2})

The z-score probability distribution for normal distribution is given by;

                               Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 460 seconds

            \sigma = standard deviation = 40 seconds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

<u>Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;</u>

       P(X > x) = 0.10   {where x is the required time which boy need to beat}

       P( \frac{X-\mu}{\sigma} > \frac{x-460}{40} ) = 0.10

        P(Z > \frac{x-460}{40} ) = 0.10

<em>So, the critical value of x in the z table which represents the top 10% of the area is given as 1.2816, that is;</em>

<em>                   </em>      \frac{x-460}{40} =1.2816

                         {x-460}{} =1.2816\times 40

<em>                           </em>x = 460 + 51.264 = <u>511.264 seconds</u>

Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

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3 years ago
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Step-by-step explanation:

3 x^3-15x^2+18x 3(x^3-5x^2+6x)

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The square root of 27 is 5.19615242271  , which is more than 5 but less then 6, therefore is between 5 and 6.

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<em>Hope this helped (: Can you please mark as brainliest?</em>

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