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2 years ago

Write a rule for this transformation (geometry)

Mathematics

1 answer:

fgiga [73]2 years ago

8 0

Answer:

(x,y) → (x+1 , y+1)

Step-by-step explanation:

Based on the image provided we can assume that every square in the graph represents 1 space. That being said we can create the following rule for this transformation

(x,y) → (x+1 , y+1)

This rule basically states that every point on the original shape needs to be moved 1 space to the right and 1 space upward in order for the translation to be perfect and output the final image shown in the graph.

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What is the slope between (10,4) and (7,4)?

Inga [223]

Slope is rise/run to find it we do (y1-y2)/(x1-x2) y1 means the 1st y and y2 means the second y in (x,y) form y1=4 y2=4 x1=10 x2=7 (4-4)/(10-7)=0/3=0 slope is 0

3 0

3 years ago

A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed

tresset_1 [31]

Answer:

a) $z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) $P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

c) $z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$

We can find the number of deviation from the mean with the z score formula:

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

And replacing we got

$z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

$P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

$P(29 < X$

And replacing we got:

$z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

7 0

3 years ago

You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?

Radda [10]

Answer:

$555,765.76

Step-by-step explanation:

128

256

512

1024

2048

4096

8192

16282

32564

65128

13256

26512

53024

106048

212096

424192

868384

1736768

3473536

6947072

13894144

27788288

55576576=

555,765.76

6 0

3 years ago

Steven purchases a bowl. THe diameter of the bowl is 14cm. What is the area of the bowl?

stellarik [79]

Answer: 153.86cm

Step-by-step explanation:

A bowl represents a circle

Area of a circle is pir2

But here we are given the diameter as 14

Diameter = 2radii

14=2r

R=14/2

R=7

So radius of the bowl is 7cm

Back to the formula

Area of a circle is pir2

Pi=3.14

Substitute for each value

Area= 3.14×7^2

Area= 3.14×49

Area= 153.86cm

Area= ~154cm

8 0

3 years ago

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Comparing Absolute Values

AURORKA [14]

Answer:

i don not know this. but I think

Step-by-step explanation:

7 0

3 years ago

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