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coldgirl [10]
3 years ago
7

Please help!!! Will give brainly!! 50 points

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

(x,\ y)\to(x-6,\ y-4)\\\\A(3,\ -5)\to A'(3-6,\ -5-4)\to A'(-3,\ -9)\\\\B(6,\ 2)\to B'(6-6,\ 2-4)\to B'(0,\ -2)\\\\C(2,\ 5)\to C'(2-6,\ 5-4)\to C'(-4,\ 1)

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1) On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the
Musya8 [376]

Answer:

A) 34.13%

B)  15.87%

C) 95.44%

D) 97.72%

E) 49.87%

F) 0.13%

Step-by-step explanation:

To find the percent of scores that are between 90 and 100, we need to standardize 90 and 100 using the following equation:

z=\frac{x-m}{s}

Where m is the mean and s is the standard deviation. Then, 90 and 100 are equal to:

z=\frac{90-100}{10}=-1\\ z=\frac{100-100}{10}=0

So, the percent of scores that are between 90 and 100 can be calculated using the normal standard table as:

P( 90 < x < 100) = P(-1 < z < 0) = P(z < 0) - P(z < -1)

                                                =  0.5 - 0.1587 = 0.3413

It means that the PERCENT of scores that are between 90 and 100 is 34.13%

At the same way, we can calculated the percentages of B, C, D, E and F as:

B) Over 110

P( x > 110 ) = P( z>\frac{110-100}{10})=P(z>1) = 0.1587

C) Between 80 and 120

P( 80

D) less than 80

P( x < 80 ) = P( z

E) Between 70 and 100

P( 70

F) More than 130

P( x > 130 ) = P( z>\frac{130-100}{10})=P(z>3) = 0.0013

8 0
3 years ago
Consider two circular swimming pools. Pool A has a radius of 48 feet, and Pool B has a diameter of 29.46 meters. Complete the de
Ber [7]

Answer: pool B has a greater circumference.

Step-by-step explanation:

The formula for determining the circumference if a circle is expressed as

Circumference = 2πr

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Pool A has a radius of 48 feet.

1 foot ≈ 0.305 meters

48 feet = 48 × 0.305 = 14.64 meters

The circumference of pool A is

2 × 3.14 × 14.64 = 91.94 meters

Pool B has a diameter of 29.46 meters. Radius = diameter/2

Radius of pool B = 29.46/2 = 14.73 meters

The circumference of pool B is

2 × 3.14 × 14.73 = 92.5 meters

Therefore, pool B has a greater circumference.

7 0
3 years ago
What is quadratic equaton?
Lera25 [3.4K]
A quadratic equation is an equation that includes a squared term. For example, 3x + 7 = 28 is not a quadratic equation as it only has x, whereas x^2 + 5x + 6 = 0 is a quadratic equation as it includes x^2. Quadratic equations also usually have two solutions, whereas linear equations (like my first example) only have one.

I hope this helps! Let me know if you would like me to explain anything more :)
6 0
3 years ago
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Sal has 3 of a sheet of poster board. Four friends are sharing the sheet equally. What fraction of the original sheet does each
Galina-37 [17]

Answer:

Step-by-step explanation:

3 sheets are shared between four friends.

Each friends will get = 3 ÷ 4

                                 = \frac{3}{4}

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3 years ago
A(7x+3)=b+14x what is the value of a and b
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Answer:

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