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3 years ago

What is the scale factor of dilation? 1 over 2 1 over 3 1 over 4 1 over 5

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

7 0

RP is 3 units long and its transformation R'P' is 1 unit long

R'P' = 1/3 * RP

so the scale factor is 1/3

quester [9]3 years ago

7 0

Answer: 1 over 3

Step-by-step explanation:

The dilation is a transformation which produces similar figures.

The scale factor dilation is the ratio of the corresponding coordinates of the image and the pre-image.

In the given graph triangle PQR is dilated to form triangle P'Q'R', then the scale factor to the dilation is given by :-

$k=\dfrac{\text{x-cooordinate of R'}}{\text{x-cooordinate of R}}\\\\\Rightarrow\ k=\dfrac{1}{3}$

Hence, the scale factor of dilation = 1 over 3

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In a spreadsheet, you can use the function NORM.DIST(upper bound, μ, σ, TRUE) to find the area under a normal curve for values o

Mars2501 [29]

Given Information:

Mean height of children = μ = 41 inches

Standard deviation of height of children = σ = 4 inches

Required Information:

Using Excel find P(x > 34) = ?

Answer:

P(x > 34) = 95.99%

Explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

The Microsoft Excel has a built-in function "NORMDIST" which calculates the probability of a normal distribution.

Syntax:

NORMDIST(x, mean, standard deviation, cumulative flag)

Where x is the variable of interest

Cumulative flag = TRUE or FALSE

The probability that a randomly chosen child is greater than 34 inches tall is given by

P(x > 34) = 1 - P(x < 34)

Using MS Excel,

P(x > 34) = 1 - NORM.DIST(34,41,4,TRUE)

Which return the probability of

P(x > 34) = 1 - 0.040059

P(x > 34) = 0.959941

P(x > 34) = 95.99%

Therefore, there is 95.99% probability that a randomly chosen child is greater than 34 inches tall.

6 0

3 years ago

what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?

Deffense [45]

Answer:

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = $y-y_1 = m(x-x_1)$

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation $y=-\frac{3}{4}x+5$

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is $-\frac{1}{3}$ .

So, since the given slope is -3/4, the negative reciprocal is $\frac{4}{3}$ .

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

$y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)$

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

$y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1$