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3 years ago

Who is good at geometry that can help me?

Mathematics

1 answer:

lina2011 [118]3 years ago

7 0

Answer: d. 3

Step-by-step explanation:

By the The intersecting chords theorem,

$x(x+3) = 2\times 9$

$\implies x^2+3x=18$

$\implies x^2+3x-18=0$

$\implies x^2+6x-3x-18=0$

$\implies x(x+6)-3(x+6)=0$

$\implies (x-3)(x+6)=0$

$\text{ if }x-3=0\implies x = 3$

or $\text{ if }x+6=0\implies x = -6$ ( can not possible)

Hence, x = 3

⇒ Option d is correct.

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The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. • If t

son4ous [18]

Answer:

If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?

There is a 10.56% probability of failure of the cable.

If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?

There is a 15.87% probability of failure of the cable.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. This means that $\mu = 75, \sigma = 20$ .

If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?

This is the pvalue of Z when $X = 50$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{50 - 75}{20}$

$Z = -1.25$

$Z = -1.25$ has a pvalue of 0.1056.

There is a 10.56% probability of failure of the cable.

If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?

Now we have that

$X = 0.2(30) + 0.35(50) + 0.45(70) = 55$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{55 - 75}{20}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587.

There is a 15.87% probability of failure of the cable.

3 0

3 years ago

Let f(x) = 4x – 2 and g(x) = x + 1. Find the following function value. (f - g)(-3)

Nataly [62]

Answer:

(f - g)(3) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 2

g(x) = x + 1

Step 2: Find

Find (f - g)(x)

Substitute: (f - g)(x) = 4x - 2 - (x + 1)
Distribute -1: (f - g)(x) = 4x - 2 - x - 1
Combine like terms: (f - g)(x) = 3x - 3

Find (f - g)(3)

Substitute: (f - g)(3) = 3(3) - 3
Multiply: (f - g)(3) = 9 - 3
Subtract: (f - g)(3) = 6

8 0

3 years ago

Ronnie wants to buy a computer table that measures 10 feet by 6 feet. The cost of the table is $16 per square feet. How much wil

irakobra [83]

Answer: $960

Step-by-step explanation:

10*6= 60

60*16= 960

4 0

3 years ago

Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins

Zanzabum

The expression Hallie wrote is not clear, because if 0 is the only number that satisfies p = 4l + 4w + 4h = l + w + h.

But if you meant to write:

p = 4l + 4w + 4h

p/4 = l + w + h

then she could get something different.

Answer:

The expression (w + h) + p/4 should follow the subtraction if Hallie's equation is

p = 4l + 4w + 4h

p/4 = l + w + h

h = -

Step-by-step explanation:

Let us solve Hallie's problem.

She can use the equation:

p = 4l + 4w + 4h

to determine the sum of the lengths of the edges of a rectangular prism. Because she begin to solve the equation for h, let us solve for h.

This means we are trying to make h the subject of the formula.

p = 4l + 4w + 4h

When you factor out 4 on the right hand side, you have

p = 4(l + w + h)

Dividing both side by 4, we have

p/4 = l + w + h

Now, subtracting (l + w) from both sides, we have

p/4 - (l + w) = h.

This can be written as:

h = - (l + w) + p/4

And that is what Hallie wanted to obtain.

7 0

3 years ago

Read 2 more answers

Which of the following is equivalent to 60 Superscript one-half?

vitfil [10]

Answer:c

Step-by-step explanation:

The Answer is C.

4 0

3 years ago