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3 years ago

What is the solution to this equation?

Mathematics

1 answer:

Nesterboy [21]3 years ago

8 0

Answer:

Step-by-step explanation:

5x-3x=18+15-9

2x=42 /:2

x=21

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3 years ago

Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean valu

Sauron [17]

Answer:

(1) 0.4207

(2) 0.7799

Step-by-step explanation:

Given,

Mean value,

$\mu = 15.0$

Standard deviation,

$\sigma = 1.25$

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)

$= 1- P(\frac{x-\mu}{\sigma} \leq \frac{17.5-\mu}{\sigma})$

$=1-P(z\leq \frac{17.5 - 15}{1.25})$

$=1-P(z\leq \frac{2.5}{1.25})$

$=1-P(z\leq 2)$

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= 0.4207

(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)

$=P(z\leq \frac{18 - 15}{1.25}) - P(z\leq \frac{14 - 15}{1.25})$

$=P(z\leq \frac{3}{1.25}) - P(z\leq -\frac{1}{1.25})$

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= 0.7799

8 0

3 years ago

-5/2a+ 5=25...............,....................................

sveta [45]

$\text{Hey there!}$

$\mathsf{-\dfrac{5}{2}a+5=25}$

$\text{\bf{SUBTRACT}}\mathsf{\ by\ 5\ on\ your\ sides}\\\mathsf{-\dfrac{5}{2}a+5-5=25-5}\\\\\mathsf{Cancel\ out: 5-5\ because\ it\ gives\ you\ 0}\\\\\mathsf{Keep: 25 - 5\ because\ it\ helps\ us\ solve\ for\ a}\\\\\mathsf{25-5=20}\\\\\mathsf{New\ equation:- \dfrac{5}{2}a=20}$

$\text{\bf{MULTIPLY}}\mathsf{\ \dfrac{2}{-5}\ on\ your\ sides}\\\\\mathsf{\dfrac{2}{=5}\times\dfrac{-5}{2}a=\dfrac{2}{-5}\times20}\\\\\mathsf{Cancel\ out: \dfrac{2}{-5}\times\dfrac{-5}{2}\ because\ it\ gives\ you\ 1}\\\\\mathsf{Keep: \dfrac{2}{-5}\times20\ because\ it\ gives\ you\ the\ value\ of\ a}\\\\\mathsf{\dfrac{2}{-5}\times20=-8}$