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e-lub [12.9K]
3 years ago
9

What single transformation was applied to triangle A to get triangle B

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0

Answer: Dilation

Step-by-step explanation:

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HELPP I GIVE BRAINLESTT RN I NEED THIS IN 5 MINUTESSS RNNNN
Zepler [3.9K]

thirty-seven point five percent and three per eight

3 0
2 years ago
Caroline wants to compare the expressions 15-9 and 9 (-15) to determine which result is greater. How can she do this without fin
Drupady [299]

Answer:

15-9 will be greater

Step-by-step explanation:

Caroline wants to compare the expressions 15-9 and 9 (-15)

For us to know the result that is greater, we will have to check if the first value is less than or greater than the other. For example

If for a-b

a-b is greater if a>b

a-b is lesser if a<b

Given 15 - 9

Since 15 > 9, this means that 15-9 will be greater compare to 9-15

3 0
3 years ago
. upper left chamber is enlarged, the risk of heart problems is increased. The paper "Left Atrial Size Increases with Body Mass
Sonbull [250]

Answer:

Part 1

(a) 0.28434

(b) 0.43441

(c) 29.9 mm

Part 2

(a) 0.97722

Step-by-step explanation:

There are two questions here. We'll break them into two.

Part 1.

This is a normal distribution problem healthy children having the size of their left atrial diameters normally distributed with

Mean = μ = 26.4 mm

Standard deviation = σ = 4.2 mm

a) proportion of healthy children have left atrial diameters less than 24 mm

P(x < 24)

We first normalize/standardize 24 mm

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (24 - 26.4)/4.2 = -0.57

The required probability

P(x < 24) = P(z < -0.57)

We'll use data from the normal probability table for these probabilities

P(x < 24) = P(z < -0.57) = 0.28434

b) proportion of healthy children have left atrial diameters between 25 and 30 mm

P(25 < x < 30)

We first normalize/standardize 25 mm and 30 mm

For 25 mm

z = (x - μ)/σ = (25 - 26.4)/4.2 = -0.33

For 30 mm

z = (x - μ)/σ = (30 - 26.4)/4.2 = 0.86

The required probability

P(25 < x < 30) = P(-0.33 < z < 0.86)

We'll use data from the normal probability table for these probabilities

P(25 < x < 30) = P(-0.33 < z < 0.86)

= P(z < 0.86) - P(z < -0.33)

= 0.80511 - 0.37070 = 0.43441

c) For healthy children, what is the value for which only about 20% have a larger left atrial diameter.

Let the value be x' and its z-score be z'

P(x > x') = P(z > z') = 20% = 0.20

P(z > z') = 1 - P(z ≤ z') = 0.20

P(z ≤ z') = 0.80

Using normal distribution tables

z' = 0.842

z' = (x' - μ)/σ

0.842 = (x' - 26.4)/4.2

x' = 29.9364 = 29.9 mm

Part 2

Population mean = μ = 65 mm

Population Standard deviation = σ = 5 mm

The central limit theory explains that the sampling distribution extracted from this distribution will approximate a normal distribution with

Sample mean = Population mean

¯x = μₓ = μ = 65 mm

Standard deviation of the distribution of sample means = σₓ = (σ/√n)

where n = Sample size = 100

σₓ = (5/√100) = 0.5 mm

So, probability that the sample mean distance ¯x for these 100 will be between 64 and 67 mm = P(64 < x < 67)

We first normalize/standardize 64 mm and 67 mm

For 64 mm

z = (x - μ)/σ = (64 - 65)/0.5 = -2.00

For 67 mm

z = (x - μ)/σ = (67 - 65)/0.5 = 4.00

The required probability

P(64 < x < 67) = P(-2.00 < z < 4.00)

We'll use data from the normal probability table for these probabilities

P(64 < x < 67) = P(-2.00 < z < 4.00)

= P(z < 4.00) - P(z < -2.00)

= 0.99997 - 0.02275 = 0.97722

Hope this Helps!!!

7 0
3 years ago
Marvin sells prawns at $12 per kg. How much money will Marvin receive from selling 30 kg of prawns?
igomit [66]

Answer: Start off and multiply 12x30=360

Step-by-step explanation: He will recieve 360$

3 0
2 years ago
Identify the solution(s) of the system of equations, if any.<br> -2x - 2y = 4<br> 8y = -8x - 16
liubo4ka [24]
<span>-2x - 2y = 4|:(-2) 8y = -8x - 16|:(-8) 
x+y=-2 -y=x+2 x+y=-2x+y=-2 
</span>Ansfwer  :  x-2 y -2
4 0
3 years ago
Read 2 more answers
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