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forsale [732]
2 years ago
11

Lesson 4-4 Homework The question is attached below :)

Mathematics
1 answer:
Ronch [10]2 years ago
4 0

Answer:

493.2 · 10⁸

Step-by-step explanation:

1 person = 180 bars

274,000,000 people · 180 bars per person

274,000,000 can be simplified to 274 · 10⁶

274 · 180 = 49320 · 10⁶

Now transferring this to scientific notation by moving the decimal two spaces to the left

493.2 · 10⁶ + 10²     The 10² is for the two spaces to the left

493.2 · 10⁸

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2. Choose the graph that shows the solution of the inequality on the number line
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Number line 3 also known as [C]

Step-by-step explanation:

<em>Given that:</em>

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<u><em>Kavinsky</em></u>

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What percent of 500 is 50?​
mestny [16]

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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
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