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3 years ago

Please help me! So confused on the difference between the two and how to work them out!

Mathematics

2 answers:

wlad13 [49]3 years ago

7 0

Answer:

A. 45

B. 684

The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple ( LCM ) and Least Common Denominator ( LCD) . For two integers a and b, denoted LCM(a,b), the LCM is the smallest integer that is evenly divisible by both a and b.

LCM= A. 45

Ymorist [56]3 years ago

3 0

Answer:

9 and 15

Step-by-step explanation:

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In your notebook, set up the following subtraction in a vertical format and select the correct answer. Take -4 + 3a2 from 7a - a

ahrayia [7]

Answer:

-4a^2+7a+4 , a=2 or -1/4

Step-by-step explanation:

Take -4 + 3a2 from 7a - a2

It means 7a -a^2 - (-4+3a^2)

7a -a^2 +4-3a^2

7a -a^2-3a^2+4

7a -4a^2+4

-4a^2+7a+4

-4a^2+8a-a+4

-4a^2-a+8a+4

-a(4a+1)+2(4a+1)

(-a+2)(4a+1) =0

-a+2=0 4a+1=0

-a=-2 4a=-1

-a/-1=-2/-1 a=-1/4

a=2 or -1/4

7 0

3 years ago

Read 2 more answers

The average THC content of marijuana sold on the street is 9.3%. Suppose the THC content is normally distributed with standard d

velikii [3]

Answer:

a) $X \sim N(9.3,1)$

b) $P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z$

c) The value of height that separates the bottom 75% of data from the top 25% is 9.9745.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(9.3,1)$

Where $\mu=9.3$ and $\sigma=1$

3) Part b

We are interested on this probability

$P(X>9.2)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z$

4) Part c

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.6745. On this case P(Z<0.6745)=0.75 and P(z>0.6745)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(Z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.6745$

And if we solve for a we got

$a=9.3 +1*0.6745=9.9745$

So the value of height that separates the bottom 75% of data from the top 25% is 9.9745.

8 0

2 years ago

In a shipment of airplane parts, 5% are known to be defective. If 21 parts are found to be defective, how many parts are in the

horrorfan [7]

We can use ratios and the cross-multiply-divide to find this.

The ratio 21:5 is avaliable via the question. We then need to compare that to the ratio x:100, the 100 being the percent and the x being the number of airplane parts.

21/5 = x/100

We can then solve for x to find the number of airplane parts. First we multiply by 100 on both sides to get 2100/5 = x. Therefore x = 420 and there are 420 airplane parts.

7 0

2 years ago

A helicopter is hovering 110 feet in the air over a landing pad. If a man sees the helecopter at an angle of elevation of 29°, w

Pavel [41]

See the attached figure to better understand the problem

we know that

tan 29°=AC/CB--------> CB=AC/tan 29°
AC=110 ft
CB--------> <span>how far the man is from the helicopter landing pad
</span>so
CB=AC/tan 29°----------> CB=110/ tan 29°----------> CB=198.45 ft

the answer is
the man is 198.45 ft from the helicopter landing pad

3 0

3 years ago

Help me pleasee!! thanks!

Feliz [49]

Answer:

the answer is 52/100 :)

4 0

2 years ago

Read 2 more answers

Please help me! So confused on the difference between the two and how to work them out!​

Please help me! So confused on the difference between the two and how to work them out!