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dsp73
3 years ago
10

Four bells ring at intervals of 3, 7 , 12 and 14 minutes respectively. All four rang together at 4:00a.m. At what time will they

ring together again?
Mathematics
1 answer:
Vlada [557]3 years ago
8 0
Basically ur just looking for the LCM (lowest common multiple) of all of these numbers.

3,7,12,14....lowest number that all 4 of these numbers go into evenly is 84.

so they will ring together next in 84 minutes (1 hr 24 minutes) making it 5:24 a.m.
You might be interested in
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat
____ [38]

Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that \mu = 5.11, \sigma = 0.07

Bottom 9%:

The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.

Z = \frac{X - \mu}{\sigma}

-1.34 = \frac{X - 5.11}{0.07}

X - 5.11 = -1.34*0.07

X = 5.02

The diameter that separates the bottom 9% is 5.02 millimeters.

Top 9%:

The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.

Z = \frac{X - \mu}{\sigma}

1.34 = \frac{X - 5.11}{0.07}

X - 5.11 = 1.34*0.07

X = 5.2

The diameter that separates the top 9% is 5.2 millimeters.

6 0
3 years ago
Let h(x)=505.5+8e−0.9x . What is h(5) ? rounded to the nearest tenth. any help would be great
Naddik [55]
For this case, the first thing we are going to do is rewrite the function.
 We have then:
 h (x) = 505.5 + 8 * exp (-0.9 * x)
 We evaluate the value of x = 5 in the function.
 We have then:
 h (5) = 505.5 + 8 * exp (-0.9 * 5)
 h (5) = 505.588872
 round to the nearest tenth:
 h (5) = 505.6
 Answer:
 
the value of h (5) is:
 
h (5) = 505.6
3 0
3 years ago
Read 2 more answers
-6(x + 7) = -4x - 2
Wittaler [7]

Answer:

-2x-44

Step-by-step explanation:

-6x-42=-4x-2

4 0
3 years ago
Read 2 more answers
7. A triangle has sides with lengths of 10 metres,
Kay [80]

Answer:

It is not a right triangle.

Step-by-step explanation:

We can prove this by Pythagorean theorem because it represents to a right triangle.

Pythagorean theorem:

a² + b² = c²

Now substitute the values.

Note: the longest side will represent c

So,

a = 10 m

b = 16 m

c = 20 m

10² + 16² = 20²

The objective here is to make them equal.

100 + 256 = 400

356 ≠ 400

They are not equal so it is not considered a right triangle.

7 0
3 years ago
Mese questions are based on a 52
Mrrafil [7]

Answer:1.) 6/52

Step-by-step explanation:

5 0
3 years ago
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