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2 years ago

Someone can help me

Mathematics

1 answer:

inn [45]2 years ago

6 0

Answer:

f(x, y) = (2x, 2y)

Step-by-step explanation:

Dilation centered at the origin causes each coordinate value to be multiplied by the scale factor. Here, each image point has coordinates that are double the value of the original pre-image coordinates. (The scale factor is 2.)

f(x, y) = (2x, 2y)

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Create a unique parabola in the pattern f(x)=(x-a)(x-b). Pick integers other than one or zero for a and b. let a= 1 and b= 2 f(x

kotegsom [21]

Answer:

a) parabola opens upwards

b) y-intercept y = 2

c) x₁ = 1 x₂ = 2

Step-by-step explanation:

y = x² - 3x + 2

This parabola is open upwards since the coefficient of x² is positive (1)

b) y-intercept is when x = 0 then

y = (0)² - 3*(0) + 2

y-intercept y = 2

to determine zeros, we can proceed as follows

x² - 3x + 2 = 0

Factoring that xpression

( x -1 ) * ( x - 2 ) = 0

Then either x- 1 = 0 and x₁ = 1 or

x - 2 = 0 and x₂ = 2

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3 years ago

Find the area of the rectangle

castortr0y [4]

Step-by-step explanation:

Length (L) = 2 cm

Breadth (b) = 2 / 3 cm

Area of the rectangle

= L * b

= 2 * 2/3

= 4/3 cm²

Hope it will help :)❤

6 0

3 years ago

A line segment on a number line has its end points at -9 and 6 find the coordinate of the midpoint of the segment

ozzi

The answer would be negative 2.

-9+6=-3

List the numbers -3,-2,-1

The number in the middle is -2 and that is our answer.

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4 years ago

Where should the lower quartile line be placed?

makvit [3.9K]

Between the median and the number before it and everything in front of it is the lower quartile

5 0

3 years ago

A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the pr

Gre4nikov [31]

Answer:

$z= \frac{47 -50}{\frac{12}{\sqrt{36}}}=-1.5$

$z= \frac{53 -50}{\frac{12}{\sqrt{36}}}=1.5$

And using a calculator, excel ir the normal standard table we have that:

$P(47 \leq \bar X \leq 53) =P(-1.5 \leq Z \leq 1.5)$

And we can calculate the probability like this: $P(-1.5 \leq Z \leq 1.5) = P(z$ Step-by-step explanation:

A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(50,12)$