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4 years ago

Work out 2/3 + 3/4? Work out 5 times 3/4? PLEASE HELP ASAP!!!

Mathematics

2 answers:

Finger [1]4 years ago

8 0

2/3 + 3/4

First, we need to find a common denominator.

2*4/3*4 = 8/12

3*3/4*3 = 9/12

Now add the numerators.

9+8 = 17

17/12 = 1 5/12

Answer: 1 5/12

5 * 3/4 =

5/1 * 3/4 = 15/4

15/4 = 3 3/4

Answer: 3 3/4

zlopas [31]4 years ago

6 0

2/3 + 3/4
For this, you want to cross multiply
To do this, you do the first numerator (2) multiplied by the second denominator (4), and the first denominator (3) multiplied by the second numerator (3).If you draw lines between the two numbers you are multiplying, a 'cross' is made. Add these two numbers together to make the new numerator. For the denominator, multiply the bottom two numbers.
Next simplify the new fraction (Follow attached image)

5 x 3/4
This can be written as 5 x 3 / 4
5 x 3 = 15
15/4 = 3 3/4 or 3.75

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Order the side lengths , , , , and from least to greatest.

diamong [38]

Answer:

1. FH, 2. GH, 3.IH 4. GI, 5. FG

Step-by-step explanation:

According to a certain geometric theorem, the smallest angle is always opposite to the smallest side of a triangle. Likewise, the largest angle is always opposite to the largest side. Using this theorem we can properly order the angles and sides.

Additionally, the interior degrees of a triangle will always be 180, and the interior of this quadrilateral is 360 degrees. Using this we can determine the missing angles.

180 - 75 - 55 = 50 (first missing angle)

180 - 59 - 63 = 58 (second missing angle)

The smallest angle would be 50 degrees and the largest 75.

The second smallest is 55 degrees, the third smallest is 58 degrees, the fourth smallest is 59 degrees, and the fifth is 63 degrees.

Now, one thing that seems a bit confusing is the fact that GH is opposite to 2 different angles, so how do we know WHICH angle to use to find its length. From what I understand, we should be able to find the average of the two angles across from this side to see what its place would be in terms of length.

63 + 50 = 56.5

This would make side GH larger than FH but less than HI

This is how I would solve the problem, and I think this is the correct order. Please let me know whether it turns out right.

7 0

3 years ago

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4 m<br> 3 m<br> What is the length of the hypotenuse?

wlad13 [49]

Answer:

H^2 = 4^2 + 3^2

H^2 = 16 + 9

H^2 = 25

H = √25

H = 5

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3 years ago

Graph each absolute value function. State the domain, range, and y-intercept.

Paraphin [41]

Answer:

i)D: $x\in R$

ii)R: $y\ge-3$

iii) Y-int:(0,-1)

Step-by-step explanation:

i) The given absolute value function is;

$f(x)=|x+2|-3$ .

The absolute value function is defined for all real values of x.

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function,

$f(x)=|x+2|-3$ .

has vertex at, (-2,-3) and opens upwards.

This implies that, the minimum y-value is -3.

The range is $y\ge-3$

iii) To find the y-intercept substitute x=0 in to the function.

$f(0)=|0+2|-3$ .

$f(0)=|2|-3$ .

$f(0)=2-3$ .

$f(0)=-1$ .

The y-intercept is (0,-1)

See attachment for graph.

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4 years ago

Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a

Bumek [7]

Answer:

0.381 is the probability that the number of drivers will be at most 18.

Step-by-step explanation:

We are given the following information in the question:

The number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20.

The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.
The variance of Poisson distribution is equal to the mean of Poisson distribution.

a) P(number of drivers will be at most 18)

Formula:

$P(X =k) = \displaystyle\frac{\mu^k e^{-\mu}}{k!}\\\\ \mu \text{ is the mean of the distribution}$

$P( x \leq 18) =P(x=0) + P(x =1) + P(x = 2) + ... + P(x = 18)\\\\= \displaystyle\frac{20^0 e^{-20}}{0!} + \displaystyle\frac{20^1 e^{-20}}{1!} +...+ \displaystyle\frac{20^{18} e^{-20}}{18!}\\\\ = 0.381$

Thus, 0.381 is the probability that the number of drivers will be at most 18.

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4 years ago

A compound experiment consists of tossing a coin, drawing a letter at random from the alphabet, and then tossing two coins. What

Artemon [7]

We should each take these probabilities first individually.
Probability of tails in a coin toss = 1/2
Probability of <span>drawing letter T from the alphabet = 1/26
Probability of 2 tails in 2 coin toss = 1/4
Sample space = {HH, TT, HT, TH}

Add these together since these events happen after another = 1/2 + 1/26 / + 1/4 = 41/52

The final probability is 41/52</span>

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4 years ago

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