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3 years ago

Can anyone help pls!!!!

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

Answer:

√3 × √21

√3 × √3 × √7

(√3)^2 × √7

3 √7

MA_775_DIABLO [31]3 years ago

5 0

Answer:

3√7

Step-by-step explanation:

√3 × √21

√3 × √3 × √7

(√3)^2 × √7

3 √7

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What represents the set of possible rational roots for the polynomial x^3+5x^2-8x-20=0

nasty-shy [4]

You need to work out the variables of 20 (the last number) first: 1, 2, 4, 5, 10, 20 Lets call these folks "p" At that point you need to work out the components of the main coefficient (the number before the most astounding force of x): 1 Lets call this person "q" At that point you need to make all the conceivable divisions you can with: ±p/q Since q is only 1, we are fortunate, so the conceivable normal roots are: ±1/1,±2/1,±4/1,±5/1.±10/1,±20/1

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3 years ago

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.

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3 years ago

What is 4 raised to the power of 2 ÷ 2 raised to the power of 3

Troyanec [42]

Answer:

4³

Step-by-step explanation:

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3 years ago

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El jardinero de un parque planta flores siguiendo cierto patrón. En la primera fila planta 4 flores, en la segunda 7 y así suces

nevsk [136]

Answer:

a) Para $i = 4$ , hay 13 flores en la fila 4.

b) Para $i = 7$ , hay 22 flores en la fila 7.

c) La fila 11 tiene 34 flores.

Step-by-step explanation:

De acuerdo con el enunciado, cada fila tiene tres flores más que la fila inmediatamente anterior, significando que se puede determinar el número de flores de cada fila mediante una serie aritmética:

$n = 4+3\cdot (i-1)$ , $i \ge 1$ (1)