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Snezhnost [94]
2 years ago
6

Which of the following pairs of numbers has a least common multiple of 48 ?

Mathematics
1 answer:
kobusy [5.1K]2 years ago
8 0
<h3>Answer:</h3>

Which of the following pairs of numbers has a least common multiple of 48 ?

A. 3 and 12

<h3><em><u>B . 2 and 24</u></em> </h3>

C. 4 and 9

D. 6 and 8

-<em>KeonLee</em>

<em>I</em><em> </em><em>hope it</em><em> </em><em>help</em><em> </em>

<em>#Carry</em><em> </em><em>on learning</em><em> </em>

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Your furniture store sells two types of dining room tables. The first, type A, costs $210 and you make a $21 profit on each one.
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Answer: We should order 40 dining room tables type “A” and 90 dining room tables type “B” if we want to minimize our cost.

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7 0
3 years ago
X-3y=8 what is y in this question
gogolik [260]

y=5, x=7 because if 3x5=15 then 15-7=8 dont report me if i do get this wrong

7 0
4 years ago
Test scores of the student in a school are normally distributed mean 85 standard deviation 3 points. What's the probability that
Mrrafil [7]

Answer:

The probability that a random selected student score is greater than 76 is \\ P(x>76) = 0.99865.

Step-by-step explanation:

The Normally distributed data are described by the normal distribution. This distribution is determined by two <em>parameters</em>, the <em>population mean</em> \\ \mu and the <em>population standard deviation</em> \\ \sigma.

To determine probabilities for the normal distribution, we can use <em>the standard normal distribution</em>, whose parameters' values are \\ \mu = 0 and \\ \sigma = 1. However, we need to "transform" the raw score, in this case <em>x</em> = 76, to a z-score. To achieve this we use the next formula:

\\ z = \frac{x - \mu}{\sigma} [1]

And for the latter, we have all the required information to obtain <em>z</em>. With this, we obtain a value that represent the distance from the population mean in standard deviations units.

<h3>The probability that a randomly selected student score is greater than 76</h3>

To obtain this probability, we can proceed as follows:

First: obtain the z-score for the raw score x = 76.

We know that:

\\ \mu = 85

\\ \sigma = 3

\\ x = 76

From equation [1], we have:

\\ z = \frac{76 - 85}{3}

Then

\\ z = \frac{-9}{3}

\\ z = -3

Second: Interpretation of the previous result.

In this case, the value is <em>three</em> (3) <em>standard deviations</em> <em>below</em> the population mean. In other words, the standard value for x = 76 is z = -3. So, we need to find P(x>76) or P(x>-3).

With this value of \\ z = -3, we can obtain this probability consulting <em>the cumulative standard normal distribution, </em>available in any Statistics book or on the internet.

Third: Determination of the probability P(x>76) or P(x>-3).

Most of the time, the values for the <em>cumulative standard normal distribution</em> are for positive values of z. Fortunately, since the normal distributions are <em>symmetrical</em>, we can find the probability of a negative z having into account that (for this case):

\\ P(z>-3) = 1 - P(z>3) = P(z

Then

Consulting a <em>cumulative standard normal table</em>, we have that the cumulative probability for a value below than three (3) standard deviations is:

\\ P(z

Thus, "the probability that a random selected student score is greater than 76" for this case (that is, \\ \mu = 85 and \\ \sigma = 3) is \\ P(x>76) = P(z>-3) = P(z.

As a conclusion, more than 99.865% of the values of this distribution are above (greater than) x = 76.

<em>We can see below a graph showing this probability.</em>

As a complement note, we can also say that:

\\ P(z3)

\\ P(z3)

Which is the case for the probability below z = -3 [P(z<-3)], a very low probability (and a very small area at the left of the distribution).

5 0
3 years ago
We need to attach a support wire to Glendale's flagpole, which is 24 feet high. The
antoniya [11.8K]

Step-by-step explanation:

this creates a right-angled triangle.

the right angle (90°) being the angle between flag pole and ground.

the angle ground-wire is 50°.

because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is

180 - 90 - 50 = 40°

so, we have the situation to know 1 side and all angles.

to get the other sides we use best the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and related angles are always opposite of each other.

in our case now we have

24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft

so, the rounded answer is that the wire must be

31.3 ft long

4 0
3 years ago
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