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3 years ago

Can someone help with this math question please

Mathematics

2 answers:

katrin2010 [14]3 years ago

5 0

The answer is b

hope this helps :)

solmaris [256]3 years ago

3 0

A.
One triangle has angles measuring, in degrees, 63 and 80.
The third angle measures: 180 - 63 - 80 = 37
Since one angle of the first triangle measures 37, and an angle of the other triangle measures 27, the triangles cannot be similar.

B.

Both triangles are isosceles.The angles opposite the congruent sides are congruent angles.

The upper left triangle has an angle measuring 36 deg.The sum of the measures of the other two angles is 180 - 36 = 144.The base angles are congruent, so each base angle measures 72.

The lower right triangle is also isosceles.One base angle measures 72, so the other base angle also measure 72 deg.
There are two 72-deg angles in both triangles, so by AA Similarity, the triangles are similar.

C.
If polygons are similar, then the ratios of the lengths of corresponding sides are equal.For the quadrilaterals to be congruent, the ratios 6/4 and 4/2 would have to be equal.
6/4 = 1.5
4/2 = 2

1.5 is not equal to 2, so the ratios are not equal, and the quadrilaterals are not similar.

D.
All squares are similar.
A square and a non-square rectangle are never similar since the ratios of the lengths of corresponding sides are not equal.
The upper quadrilateral is a square, and the lower quadrilateral is a non-square rectangle. They are not similar.

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32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.32)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

Part b

$P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]$

$P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211$

$P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

Part c

$P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264$

$P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218$

$P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123$

$P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

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sleet_krkn [62]

Answer:

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qwelly [4]

Part 1:
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2 years ago

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Sidana [21]

XY = 17.

Because YW is a perpendicular bisector, we can say that TW and WZ are both equal to 3. It tells us that XZ is 12, so that means that XW must be 12+3 which equals 15.

It also tells us that YW is 8. So we can use the Pythagorean Theorem to find the hypotenuse of Triangle XWY. Thus, $15^{2} + 8^{2} = XY^{2}$

To solve this equation, square and add both of the terms on the right like this:
$289 = XY^{2}$

And then take the square root of both sides. Your final answer should be:
XY = 17.

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