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4 years ago

Find the value of f for which MATH is a parallelogram

Mathematics

2 answers:

melisa1 [442]4 years ago

7 0

IF MATH is a parallelogram, then |AP| = |PH|, or, in other words,

2f-5 = 5f - 17. solving for f: 12 = 3f, or f= 4.

Lunna [17]4 years ago

5 0

Answer: f=4

Step-by-step explanation:

AP=HP

2f-5=5f-17

-5=3f-17

12=3f

4=f

f=4

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3 years ago

Read 2 more answers

Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93

Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

$M = \frac{a + b}{2}$

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 2.93 and 3.1 volts

This means that $a = 2.93, b = 3.1$ . So

Mean:

$M = \frac{2.93 + 3.1}{2} = 3.015$

Standard deviation:

$S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049$

What is the probability that a battery has a voltage less than 2.98?

$P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941$

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0

3 years ago

Phil has two rectangular prisms. The height of the second prism is 1/2 times the height of the first prism. The lengths and widt

Vesnalui [34]

The volume of the second prism is also ten times the volume of the first prism.

Let's assume that both prisms have:

width = 3 units

height = 4 units

Prism 1 length = 5 units

Prism 2 length = 50 units

Let's solve their respective volumes to compare...

Volume of prism 1 = length * width * height

= 5 * 3 * 4

= 60 units ^3

Volume of prism 2 = 50 * 3 * 4

= 600 units ^3

Prism 2/ prism 1 = 10

That means prism 2 is ten times the volume of prism 1.

6 0

3 years ago

Find the value of 3a²-4ab-26² when A= -1 and b-4

nata0808 [166]

Answer:

-657

Step-by-step explanation:

$a= -1\\b= 4\\$

Substituting the value of a and b

$3a^{2}-4ab-26^{2} \\3(-1)^{2} -4(-1)(4)-676\\3-4(-4)-676\\3+16-676\\19-676\\-657$

The value of 3a²-4ab-26² is -657

4 0

3 years ago