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Cerrena [4.2K]
3 years ago
14

Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the p

roportion of trees having a diameter less than 9 inches.
Mathematics
1 answer:
Mila [183]3 years ago
4 0

Answer:

0.32472

Step-by-step explanation:

Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter less than 9 inches.

The formula for calculating a z-score is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation

z = (9 - 10)/2.2

z = -1/2.2

= -0.45455

Probability value from Z-Table:

P(x ≤ 9) = P(x < 9)

= 0.32472

Therefore, the proportion of trees having a diameter less than 9 inches is

0.32472

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Why do you cross-multiply when you solve proportions?
olga55 [171]

Answer:

Step-by-step explanation:

since the cross multiples are equal, you find a product and use the inverse operation as you would in an equation

Example 4 is to 36 as 3 is to X: 4/36 = 3/X --> 4*X = 3*36. Divide both sides by 4, to solve for X = 27.

is over of = percent of 100

is/of=%/100

What is 10% of 40.

is = x

x/40 = 10/100

cross mulitply 40*10= 400/100=4 x=4

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4 0
3 years ago
Read 2 more answers
Can someone my answers
erik [133]

Answer:

Option 2 is correct that is \frac{x+2}{x+9}  and x\neq-9and x\neq-12

Step-by-step explanation:

We have been given with the expression \frac{x^2-10x-24}{x^2-3x-108}

We will simplify  the given expression by factorisation we will get \frac{x^2-12x+2x-24}{x^2-12x+9x-108}  

Taking x as common from first two terms in numerator and 2 from last two terms in numerator

Similarly, take x common from first two terms and 9 from last two terms in denominator we will get

\frac{x(x-12)+2(x-12)}{x(x-12)+9(x-12)}

After arranging the terms we will get \frac{(x+2)(x-12)}{(x+9)(x-12)}

Taking out the common factor which is (x-12)  from numerator and denominator it will get cancelled we will get

\frac{(x+2)}{(x+9)}

Hence, Option 2 is correct that is \frac{x+2}{x+9}  and x\neq-9and x\neq-12

6 0
3 years ago
Which ordered pair below is a solution to the following system of equations?
KatRina [158]

The solution of the equation is given by (-2,-1), This is represented by option C.

<h3>What is a System of Equations?</h3>

A system of equations is a set of equation that have a common solution.

The solution of the equations can be determined by using the Elimination and Substitution method

3x-5y = -1

2x-y = -3

-7x = 14

x = -2

Substituting this value in the equation

3 * (-2) -5y = -1

-6 -5y = -1

-5y = 5

y = -1

Therefore, the solution of the equation is given by (-2,-1), This is represented by option C.

To know more about System of Equations

brainly.com/question/12895249

#SPJ1

3 0
2 years ago
Write the ratio in the simplest form 3 cups of sugar to 27 cups of milk
Verizon [17]

Answer: 3:27

you would divide both by 3

3/3 =1

27/3= 9

so your ratio in simplest form is 1 cup of sugar: 9 cups of milk

4 0
4 years ago
Which is the true about the function relationships show in the graph?
lara [203]

Answer:

x values are never the same in a graph. try and do a vertical pencil check and if the pencil covers two plots then it not a function.

Step-by-step explanation:

4 0
3 years ago
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