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horrorfan [7]
3 years ago
7

There are 100 Skittles. 94 are blue and 6 are red. If you take 5 Skittles, what’s the chance one will be red? What’s the chance

all 5 will be red?
Mathematics
1 answer:
Art [367]3 years ago
7 0

Answer:

6/100 +94/100

3/50 +47/50

3+47/50

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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
What is BC of the prism
REY [17]
It is the lateral edge as it is an edge and it is on the lateral area.
4 0
2 years ago
22. Every hour, Jennifer can sew 24 dresses
JulsSmile [24]

Answer:

2.5 hours

Step-by-step explanation:

24 + 20 = 44

110 divided by 44 = 2.5

3 0
2 years ago
a train leaves little rock, arkansas and travels north at 70 kilometers per hour. another train leaves at the same time and trav
jekas [21]
45 hours.
80 - 70= 10, and 450/10 is 45.
to justify, you can do 70x45= 3,150, and 80x45= (3,600 - 3,150= 450)
8 0
3 years ago
Find the total cost, including tax, of the following items:
frez [133]

Answer:

$10.23

Step-by-step explanation:

$2.19+$1.39+$3.69+$2.29=9.56

9.56 x 1.07=10.2292

You round to the nearest tenths place

$10.23

7 0
3 years ago
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