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1 year ago

I need guidance on finding the correct answers because I am confused

Mathematics

1 answer:

Montano1993 [528]1 year ago

6 0

The Solution:

The correct answer is [option 4]

Given:

Required to select the correct statements.

$\Delta ABC\cong\Delta DCB\text{ \lparen Reason: Side-Angle-Side Triangle Congruence Theorem}$

Thus, the correct answer is [option 4]

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You have a biased coin for which p(h)=pp(h)=p. you toss the coin 2020 times. what is the probability that you observe 88 heads a

Nat2105 [25]

The question describes a binomial probability with p(h) = p, then p(t) = 1 - p and number of trials (n) = 20

The probability of a binomial distribution is given by

$P(x)=\, ^nC_xp^x(1-p)^{n-x}$

Part A:

The probability of observing 8 heads and 12 tails is given by:

$P(8)=\, ^{20}C_8p^8(1-p)^{20-8}=\, ^{20}C_8p^8(1-p)^{12}$

Part B:

You observe more than 8 heads and more than 8 tails, when you observe 9 heads and 11 tails, 10 heads and 10 tails, and 11 heads and 9 tails.

Therefore, the probability of observing more than 8 heads and more than 8 tails is given by:

$P(9)+P(10)+P(11) \\ \\ =\, ^{20}C_9p^9(1-p)^{20-9}+\, ^{20}C_{10}p^{10}(1-p)^{20-10}+\, ^{20}C_{11}p^{11}(1-p)^{20-11} \\ \\ =\, ^{20}C_9p^9(1-p)^{11}+\, ^{20}C_{10}p^{10}(1-p)^{10}+\, ^{20}C_{11}p^{11}(1-p)^{9}$

7 0

3 years ago

I am a 6-digit number one of my 4s is worth 400,000. My 5 is worth 5 [10s]. My other 5 is worth 1/100 as much.My 8 is worth 800.

Monica [59]

Answer:

The question is corrected to get;

405,852

Step-by-step explanation:

The expression of the description when written as follows;

'I am a 6-digit number one of my 4s is worth 400,000. The other 5 is worth 1/100 as much. My 5 is worth 5 (10s). y 8 is worth 800. My 2 is' worth 2. My other digit is a 0 what number am I, we have;

The number of digits in the number = 6

The position of the number 4 = 100,000s, we have;

4xx,xxx

The position of the number 5 is in the 10s position, we have;

4xx,x5x

The other 5 = 50100 = 0.5

Therefore, we have;

4xx,x5x.5

The position of the 8 is the 100s, to give;

4xx,85x.5

The number 2 is in the unit position, therefore, we have;

405,852

8 0

3 years ago

How do i find the benchmark number between 170 and 410 using tens and hundreds

Nina [5.8K]

The answer is 290 but I solved this by mean

6 0

3 years ago

R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} Select all numbers that are in the domain. -3 -2 -1 0 1 2

Andrei [34K]

Answer:

-3, -1, 1

Step-by-step explanation:

the x-coordinates are the domain

8 0

3 years ago

Do the table and the equation represent the same function? y = 390 + 11(x)

Aneli [31]

Answer:

Step-by-step explanation:

Try to replace x by -50
y= 390 + 11*(-50) = -160
in the table we have -210 so the table doesn't represent the equation

5 0

3 years ago