One winter morning, the temperature was -2°c.

Mathematics

1 answer:

luda_lava [24]3 years ago

5 0

Answer:

Step-by-step explanation:

temperature is -2°C

by 11 AM is -2-3=-5°C

at 4 PM is 0°C

the integer is 5

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in a company 70% of the workers are women. if 1530 men work for the company how many workers are there in all? use pencil and pa

Ghella [55]

Women= 70%=?
Men= 100%-70%=30%=1,530
Women Workers= cross product (0.70*1,530)/0.3= 3,570
All workers= 1,530+3,570= 5,100

6 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.

Let X = time for this event for boys in secondary school

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.

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

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