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4 years ago

If an image is translated (x-3, y+2),

1 answer:

6 0

If for example the origin is (0,0) the coordinate system is (x,y) then your x value in this case is -3 and your y coordinate is 2 written as (-3,2) the x coordinate moves 3 to the left and the y coordinate move 2 up from the origin (0,0) hope this helps!

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X/-3+33=30 solveeeeee

Montano1993 [528]

Answer:

x = 9

Step-by-step explanation:

6 0

3 years ago

The figure below shows the quotient of Fraction 2 over 5 divided by Fraction 1 over 10.

den301095 [7]

0.04 because if you divide it you get 0.04

3 0

3 years ago

Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

$P(x \ge 60) \approx P(z > 1.34)$

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

3 0

3 years ago

What’s equivalent to 2(3 - x) - 12 + 4x

anygoal [31]

Answer:

2(3-x)-12+4x

6-x-12+4x

6-x-8x

6+8x =

14x

Step-by-step explanation:

3 0

3 years ago

Rationalize the denominator of square root of negative 36 over open parentheses 2 minus 3 i close parentheses plus open parenthe

dem82 [27]

$\frac{ \sqrt{-36} }{(2 - 3 i )+( 3 + 2 i )}= \\ = \frac{6i}{5-i}* \frac{5+i}{5+i}= \\ = \frac{30i+6i ^{2} }{25-i ^{2} } = \frac{-6+30i}{25+1}= \\ = \frac{-6+30i}{26}=$
= - 3/13 + 15/13 i

5 0

3 years ago