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polet [3.4K]
3 years ago
12

What is the value of x? Enter your answer, as a decimal, in the box.

Mathematics
1 answer:
MissTica3 years ago
4 0
Triangles MNP & MAB are similar (NP//AB & Angle A= Angle N (correspondent) Same for P & B

We know that MA = 67.2 -3.2 = 35.2
Since Triangles MNP & MAB are similar , then we can write the following ratio:

MN/MA=MP/MB or 67.2/35.2 =81.9/x
& x= 43 m
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Answer:

3/8 cups

Step-by-step explanation:

You want half of the recipe, so you want half of  

3 /4  of a cup.

Of means multiplication when it comes to fractions, so multiply  

3/ 4  by  1/ 2  to get   3 /4 ⋅ 1/ 2 = 3/ 8

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Find the slope of a line that goes through point A(8,-4) and C(2, -1)
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What is (5a2 − 3a + 8) + (−4a2 − 1) + (15a + 11) expressed in its simplest form?
murzikaleks [220]

The Answer is:

(5a2-3a+8)+(-4a2-1)+(15a+11)

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The first aspect of the argument you must evaluate is the truth of the reasons that are being used to support a conclusion. (Poi
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A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the
iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

Event\ 1 = \{1,2,3,4,5,6\}

Next, we list out the sample space of F

Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\

6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}

In (1): the sample space of E is:

E = \{1\}

So:

P(E) = \frac{n(E)}{n(Event\ 1)}

P(E) = \frac{1}{6}

In (2): the sample space of F is:

F = \{5,5,5,5\}

So:

P(F) = \frac{n(F)}{n(Event\ 2)}

P(F) =\frac{4}{36}

P(F) =\frac{1}{9}

For E and F to be independent:

P(E\ and\ F) = P(E) * P(F)

Substitute values for P(E) and P(F)

This gives:

P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}

P(E\ and\ F) = \frac{1}{54}

However, the actual value of P(E and F) is 0.

This is so because E = \{1\} and F = \{5,5,5,5\} have 0 common elements:

So:

P(E\ and\ F) = 0

Compare P(E\ and\ F) = \frac{1}{54} and P(E\ and\ F) = 0.

These values are not equal.

Hence: the two events are not independent

6 0
2 years ago
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