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3 years ago

Answer these questions that go along with the answer.

Mathematics

1 answer:

kotykmax [81]3 years ago

3 0

Answer:

1. (0,4)

2. because x-3 would fall on the line eventually

3. decreasing

Step-by-step explanation:

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The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

garik1379 [7]

Answer:

The probability that X is less than 32 minutes is 0.736.

Step-by-step explanation:

Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.

To find : What is the probability that X is less than 32 minutes?

Solution :

If X has an average value of 24 minutes.

i.e. $\lambda=24$

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

The exponentially function is $\frac{1}{\lambda}e^{-\frac{x}{\lambda}}$

The function form according to question is

$f(x)=\{\frac{1}{24}e^{-\frac{x}{24}}, x>0\}$

The probability that X is less than 32 minutes is

$P[x$

Therefore, the probability that X is less than 32 minutes is 0.736.

7 0

3 years ago

Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

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3 years ago

Pleas help me solve and can you show me how you solved it

matrenka [14]

Answer: K=2

Step-by-step explanation:

-8k+6=-10k+10

+10k

2k+6=10

-6

2k=4

k=2

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3 years ago

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What is the equation for a circle whose center is at (8,6) and the origin is a point on the circle

blagie [28]

Answer:

hhhh

Step-by-step explanation:

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3 years ago

Solve (26/57)=(849/5x)

Gnesinka [82]

<span>Cross multiply 26*5x = 849 * 57 130 x = 48393 x = 48393 / 130 x = 372.25</span>

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3 years ago

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