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geniusboy [140]
2 years ago
8

What is the distance between (−11,−20) and (−11,5) ?

Mathematics
1 answer:
swat322 years ago
7 0

Answer:

the answer is option D. 25 units. I hope that you'd understand

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There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=
yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = \frac{12P4}{12^{4} }

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = \frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }

P(X=2) = 0.401

P(X=3) = \frac{4C3 * 12P2}{12^{4} }

P(x=3) = 0.025

P(X=4) = \frac{12}{12^{4} }

P(X=4) = 0.001

Mean, \mu = \sum xP(x)

\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879

Standard deviation, SD = \sqrt{\sum x^{2} P(x) - \mu^{2}}  \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2}  * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}

SD = 1.033

4 0
3 years ago
the perimeter of a triangle z measures 48 cm . it was dilated with a scale factor of 0.8 to form triangle p . what is the perime
Aliun [14]

Answer:

The perimeter of the p triangle = 38.4 cm

Step-by-step explanation:

Given

The perimeter of a triangle z be = 48 cm

The triangle is dilated by a scale factor of 0.8

To determine

What is the perimeter of the triangle after it is dilated by a scale factor of 0.8?

  • As the scale factor < 1, it means the new perimeter will be reduced.

The new perimeter of the triangle p can be calculated by multiplying the perimeter of the original triangle z by 0.8

i.e.

Perimeter of triangle p = 48 × 0.8 = 38.4 cm

Therefore, the perimeter of the triangle p is = 38.4 cm

4 0
2 years ago
Find the amount of simple interest:I=PxRxT<br><br> $1,600 at 3% for 1 year
nirvana33 [79]
I=PRT, P=$1600 R=3% T=1yr
=1600x(3/100)x1
= $48.00
4 0
2 years ago
Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
Zolol [24]

Answer:

B: BC ≅EC

Step-by-step explanation:

You know that the two angles starting in C are congruent (they're opposite by vertex C).

Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B

5 0
2 years ago
If you have 1200 cents from selling lemonade then how many $'s do you have?
Juliette [100K]

Answer:

12 dolars

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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