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natta225 [31]
3 years ago
14

Part 1 out of 2

Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

x=0,6x-x2=0 x=1,6x-x2=5 x=2,6x-x2=8 x=3,6x-x2=9 x=4,6x-x2=8 x=5,6x-x2=5 x=6,6x-x2=0

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Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 19. Use the empirical rule
zvonat [6]

Answer: About 99.7%  IQ scores falls within 43 and 157.

Step-by-step explanation:

According to the empirical rule , if a data follows normal distribution then about 99.7% of the population lies with in three standard deviations from mean.

Given:   IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 19.

Since , the graph of normal distribution is bell-shaped , it mean that IQ scores follow normal distribution.

Then, About 99.7%  IQ scores falls within Mean ± 3 (Standard deviation).

i.e. About 99.7%  IQ scores falls within 100± 3(19).

i.e. About 99.7%  IQ scores falls within 100- 57 and 100+57.

i.e. About 99.7%  IQ scores falls within 43 and 157.

Therefore , by empirical rule

About 99.7%  IQ scores falls within 43 and 157.

3 0
3 years ago
What is the equation of this line?
ikadub [295]

Answer:

y=4/3x-1/3

Step-by-step explanation:

m=y2-y1/x2-x1

fill in the two points for the y's and the x's

then proceed to y = mx+b

Where:

m is the slope, and

b is the y-intercept

then you solve and <u>bam</u>!

8 0
3 years ago
Sarah needs 30 liters of a 25% acid solution how many liters of the 10% and the 30% acid solutions should she mix to get what sh
sweet-ann [11.9K]

Answer:

7.5 L of 10% solution and 22.5 L of 30% solution

Step-by-step explanation:

Volume of 10% solution plus volume of 30% solution = total volume of 25% volume.

x + y = 30

Acid in 10% solution plus acid in 30% solution = total acid in 25% solution.

0.10 x + 0.30 y = 30 × 0.25

0.10 x + 0.30 y = 7.5

Solve the system of equations, using either substitution or elimination.  I'll use substitution:

x = 30 − y

0.10 (30 − y) + 0.30 y = 7.5

3 − 0.10 y + 0.30 y = 7.5

0.20 y = 4.5

y = 22.5

x = 30 − y

x = 7.5

Sarah needs 7.5 L of 10% solution and 22.5 L of 30% solution.

8 0
3 years ago
Read 2 more answers
A 16 foot ladder rests against the side of a house and the base of the ladder is 4 feet away. How high above the ground is the t
PtichkaEL [24]

Answer:

  15.5 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle with hypotenuse 16 ft and one side length of 4 ft. If x represents the height of the ladder on the building, then the Pythagorean theorem tells us ...

  x^2 + (4 ft)^2 = (16 ft)^2

  x^2 = 240 ft^2 . . . . . . subtract 16 ft^2

  x ≈ 15.5 ft . . . . . . . . . . take the square root

The top of the ladder is about 15.5 ft above the ground.

8 0
3 years ago
Simplity to create an equivalent expression<br> 2 ( - 14+ r ) -(-3 - 5)
vovikov84 [41]

Answer:

2r+25

Step-by-step explanation

8 0
3 years ago
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