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Julli [10]
3 years ago
7

IQ test scores are standardized to produce a normal distribution with a mean of = 100 and a standard deviation of = 15. Find the

proportion of the population for the following IQ score. For your answer, convert each proportion into a percentage whose value is computed to 2 decimal places. Sketch a distribution to help you visualize the problem. IQ score greater than 135
Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

Answer:

0.01

Step-by-step explanation:

Using the z score formula

z = (x-μ)/σ,

where x is the raw score = 135

μ is the population mean = 100

σ is the population standard deviation = 15

z = 135 - 100/15

z = 2.33333

P-value from Z-Table:

P(x<135) = 0.99018

P(x>135) = 1 - P(x<135)

P(x > 135) = 1 - 0.99018

= 0.0098153

Approximately to 2 decimal places

= 0.01

Therefore, the proportion of the population for the following IQ score of 135 is 0.01

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The local bike shop sells a bike and accessories package for $320 if the bike is worth 7 times more than the accessories,how muc
sdas [7]
So, bike=b and accessories=a.

b+a=320

Since the bike is worth 7 times more than the accessories, the b would turn into 7a (because 7 times the cost of accessories is the cost of the bike).

The equation would now turn into 7a+a=320.

Solve for a.

7a+a=320
8a=320
a=40

Now that you know the cost of the accessories, you multiply that 40
by 7 to get the cost of the bike.

40(7)
280

The cost of the bike is $280.
The cost of the accessories are/is $40.
6 0
3 years ago
What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minu
Sunny_sXe [5.5K]

Answer:

<h2>\frac{(x + 5)(x + 2)}{ {x}^{3} - 9x }</h2>

First option is the correct option.

Step-by-step explanation:

\frac{2x + 5}{ {x}^{2} - 3x }  -  \frac{3x + 5}{ {x}^{3} - 9x }  -  \frac{x + 1}{ {x}^{2} - 9 }

Factor out X from the expression

\frac{2x + 5}{x(x - 3)}  -  \frac{3x + 5}{x( {x}^{2}  - 9)}  -  \frac{x + 1}{ {x}^{2}  - 9}

Using {a}^{2}  -  {b}^{2}  = (a - b)(a + b) , factor the expression

\frac{2x + 5}{x(x - 3)}  -  \frac{3x + 5}{x(x - 3)(x + 3) }  -  \frac{x + 1}{(x - 3)(x + 3)}

Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )

\frac{(x + 3) \times (2x - 5) - (3x + 5) - x \times (x + 1)}{x(x - 3)(x + 3)}

Multiply the parentheses

\frac{2 {x}^{2}  + 5x + 6x + 15 - (3x + 5) - x(x + 1)}{x(x - 3)(x + 3)}

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

\frac{2 {x}^{2}  + 5x + 6x + 15 - 3x - 5 - x \times (x + 1)}{x(x - 3)(x + 3)}

Distribute -x through the parentheses

\frac{2 {x}^{2}  + 5x + 6x + 15 - 3x - 5 -  {x}^{2} - x }{x(x - 3)(x + 3)}

Using {a}^{2}  -  {b}^{2}  = (a + b)(a - b) , simplify the product

\frac{2 {x}^{2}  + 5x + 6x + 15 - 3x - 5 -  {x}^{2}  - x}{x( {x}^{2}  - 9)}

Collect like terms

\frac{ {x}^{2}  + 7x + 15 - 5}{x( {x}^{2}  - 9)}

Subtract the numbers

\frac{ {x}^{2}  + 7x + 10}{ x({x}^{2}   - 9)}

Distribute x through the parentheses

\frac{ {x}^{2}  + 7x + 10}{ {x}^{3}  - 9x}

Write 7x as a sum

\frac{ {x}^{2} + 5x +2x + 10 }{ {x}^{3} - 9x }

Factor out X from the expression

\frac{x(x + 5) + 2x + 10}{ {x}^{3}  - 9x}

Factor out 2 from the expression

\frac{x( x + 5) + 2(x + 5)}{ {x}^{3} - 9x }

Factor out x + 5 from the expression

\frac{(x + 5)(x + 2)}{ {x}^{3} - 9x }

Hope this helps...

Best regards!!

6 0
3 years ago
Read 2 more answers
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Neporo4naja [7]

Answer:

x+(3x+2)=30

Step-by-step explanation:

Let

x ----> the length of Zach's car

y ----> the length of Ginny's car

we know that

The sum of the lengths of both cars is 30 inches

so

x+y=30 ----> equation A

Ginny's car is 2 more than 3 times the length of Zach's car

so

y=3x+2 ----> equation B

substitute equation B in equation A

x+(3x+2)=30

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