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3 years ago

The sum of two numbers is 19. Three times the larger is 3 more than 6 times the smaller. Find the numbers.

Mathematics

1 answer:

ella [17]3 years ago

6 0

Answer:

x=6

y=13

Step-by-step explanation:

The statement says that:

$3x=6y+3\\$

Been y the smaller and x the larger. The other equation that we have is the summation of the two numbers. Then we have 2 equations and 2 unknowns

$1. 3x=6y+3\\2. x+y=19\\$

Solving the equations the answers is x=13 and y=6.

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An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100

murzikaleks [220]

Answer:

The minimum IQ score will be "126".

Step-by-step explanation:

The given values are:

Mean

$\mu = 100$

Standard deviation

$\sigma=15$

Now,

⇒ $P(z>x)=4 \ percent \ i.e., 0.04$

⇒ $P(z>\frac{x- \mu}{\sigma} )=0.04$

⇒ $1-P(z \leq \frac{x-100}{15})=0.04$

⇒ $\frac{x-100}{15}=z0.96$

$=NORMDIS(z=0.96)$

$=1.751$

⇒ $x=100+15\times 1.751$

$=126.265 \ i.e., 126$

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3 years ago

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3 years ago

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mart [117]

Answer:

$\frac{1}{20}$

Step-by-step explanation:

$\frac{3}{60}=\frac{1}{20}$

To get $\frac{1}{20}$ you needed to divide the numerator and denominator by 3.

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4 years ago

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4 years ago