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Snowcat [4.5K]
3 years ago
5

Please answer question b.

Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0
It is 10.l; Divide 1000 by 93 1/2 and you get 10.6951872... which is a really long decimal, but keep in mind they are asking for the GREATEST POSSIBLE NUMBER that Jodi can cut out, which means that they are looking for a whole number; how much possible?
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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.

8 0
3 years ago
Find the m&lt;1 <br> 69<br> 71<br> 111<br> 86
Alexxandr [17]

Answer:

69

Step-by-step explanation:

m1 = 180 - (180 - 39 - 30) = 180 - 111 = 69

3 0
3 years ago
Noah says to find 20% of a number he divides the number by 5. Is this true explain your answer
Nutka1998 [239]

Answer:

yes

Step-by-step explanation:

note that 20% = \frac{20}{100} = \frac{1}{5}

Hence to find 20% of a number, dividing the number by 5 is correct

20% of £30 = \frac{30}{5} = £6


5 0
3 years ago
Can you guys please answer this thank you
11111nata11111 [884]

Answer:F B G E A

Step-by-step explanation:

1. F( a rigid transformation only changes the position but the size and angles remain the same)

2. B(The angle of rotation symmetry is the smallest angle the figure can be rotated to coincide with itself.)

3. G(Congruent means that it is the same size and shape)

4. E(Translation moves the whole shape including the points so that the shape and sizes remain the same)

5. A(Though it's position may change, reflective symmetry ensures that no other parts of the shape can change no matter what.)

3 0
3 years ago
In the reaction 2K + Cl2 → 2KCI, the species
jonny [76]

Answer:B

Step-by-step explanation:

7 0
3 years ago
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