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ella [17]
3 years ago
15

What is a greatest common multiple

Mathematics
1 answer:
Greeley [361]3 years ago
3 0
The greatest common multiple the the largest integer that can go into two other integers.
For example.
60 and 75. A common multiple would be five since it can got into both evenly. However, the largest common multiple would be 15, because it is the largest whole number that can go into 60 and 75.
Just in case, an integer is a whole number. No decimals.
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PQR is a triangle. PR = 13 cm, PQ = 12 cm and angle QPR = 30°<br> Calculate the length of QR.
Deffense [45]

Answer:

6.55 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:

c² = a² + b² - 2ab*cos(C)

Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:

QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)

QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270

QR² = 43

QR = 6.55 cm

3 0
3 years ago
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 30,393 miles, with a standard
Pie

Answer:

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem:

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 30393, \sigma = 2876, n = 37, s = \frac{2876}{\sqrt{37}} = 472.81

What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So

X = 30732

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

By the Central Limit Theorem

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

Z = \frac{30732 - 30393}{472.81}

Z = 0.72

Z = 0.72 has a pvalue of 0.7642.

X = 30054

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

Z = \frac{30054 - 30393}{472.81}

Z = -0.72

Z = -0.72 has a pvalue of 0.2358

0.7642 - 0.2358 = 0.5284

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

4 0
3 years ago
What is 0.50 as a fraction
ziro4ka [17]
The answer is 50/100 same as the decimal sort of
3 0
3 years ago
Read 2 more answers
"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place o
Mariulka [41]

Answer:

11.2 miles


Step-by-step explanation:

We can create a triangle from the information given.

<u>We can call the starting point (0,0) in the coordinate system.</u>

  • <u>10 mi east</u> - 10 miles to the right. then,
  • <u>5 mi north</u> - 5 miles above

<em><u>See the attached picture. The direct distance is labeled as x.</u></em>


Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18


<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>

6 0
3 years ago
Read 2 more answers
The Fuschia Bot clicks ____ times in 0.75 sec, and its Unit Rate is 8 clicks per second. Find the number of clicks.
yan [13]

Answer:  The Fuschia Bot clicks _6_ times in 0.75 sec,

Step-by-step explanation:

Multiply the unit rate by time:

.75 sec × 8 clicks/sec

Seconds cancel.  .75(8) = 6 clicks

6 0
2 years ago
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