find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches

Answers

Answer 1

Answer:

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

It is stated that the distribution of tree diameters is approximately normal, hence, this is a normal distribution problem with

Mean diameter = μ = 8 inches

Standard deviation = σ = 2.5 inches

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = P(x < 5.5)

To solve this, we first normalize or standardize 5.5 inches

The standardized score for 45mg/L is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (5.5 - 8)/2.5 = - 1.00

The required probability

P(x < 5.5) = P(z < -1.00)

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

P(x < 5.5) = P(z < -1.00) = 0.15866

Hope this Helps!!!

Find The Approximate Probability That A Randomly Selected Aspen Tree In This Park In 1975 Would Have

Related Questions

how to make a dot plot

Answers

Answer:

draw a a big L and put your numbers

Draw a line horizontally and make values and put dots

Collins Middle School’s basketball team won 75% of their games. If they lost 4 games, how many games did they win?

Answers

Answer:

12

Step-by-step explanation:

We are told that the school won 75% of the games, this means that the school lost:

100% - 75% = 25%

the school lost 25% of the games that equate to 4 games:

Games          Percentage

    4           ⇔       25%

I will call 'x' the number of games that they won, which is the 75%:

Games          Percentage

    4           ⇔       25%

    x           ⇔       75%

we can solve this problem using the rule of three: multiply the cross quantities on the table (4 by 75) and then we divide by the remaining number on the table (25), thus the number of games they won is:

x = 4*75/25

x = 300/25

x = 12

they won 12 games

Another (perhaps simpler) way to find this same result is:

we know that 25% equals 4 games,

if we want 75%, this is 3 times more than 25% (because 25% times 3 is 75%) thus, the result (number of games they won) is 3 times more than 4:

4 * 3 = 12

20:12 in simplest ratios​

Answers

Answer:

5: 3

Step-by-step explanation:

20:12

Divide each side by 4

20/4:12/4

5: 3

Answer:

5:3

Step-by-step explanation:

Simplify 20 and 12 until they cannot be divided as a whole anymore.

20=10=5

12=6=3

In an all boys school, the heights of the student body are normally distributed with a mean of 69 inches and a standard deviation of 3 inches. Using the empirical rule, determine the interval of heights that represents the middle 95% of male heights from this school.

Answers

Answer:

Two intervals are 63 and 75

Step-by-step explanation:

Given:

Mean of students (μ) = 69 inches

Standard deviation (σ) = 3 inches μ

Find:

Interval of heights (95%) using empirical rule

Computation:

Interval of heights (95%) using empirical rule:

⇒ μ – 2σ = 69 - 2(3)

⇒ μ – 2σ = 69 - 6

⇒ μ – 2σ = 63

⇒ μ + 2σ = 69 + 2 (3)

⇒ μ + 2σ = 69 + 6

⇒ μ + 2σ =  75

Two intervals are 63 and 75

Answer: 65.5, 72.5

Step-by-step explanation:

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Answers

I think it’s the 3rd one

Carlos needs 1.7 meters of wire for one project and 0.8 meters of wire for another project shade the model to represent the total amount of wire Carlos needs each full row represent 1.0 meters

Answers

Answer:

Step-by-step explanation:

Given that ;

Carlos needs 1.7 meters of wire for one project    &

0.8 meters of wire for another project

we are to shade the model to represent the total amount of wire Carlos needs .

NOW;

For both projects ; Carlos needs ( 1.7 + 0.8) meters of wire =  2.5 meters of wire

In  the  attached files below. the first picture shows the diagram attached to the question and the second one shows the shading of the model which represent the total amount of wire Carlos needs.

first to answer this correct gets to be picked the brainliest

Answers

Answer:0.32

Step-by-step explanation: you’re welcome

caroline works 8 hours a day 5 days a week she earns £440 each week
how much does she earn per hour ?

Answers

Answer:

She earns £11 per hour

Step-by-step explanation:

You divide £440 with 5 days of the week and then you get how much she earns in a day. And then you devide with 8 and u get £11.

Caroline will earn £11 for working per hour.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that caroline works 8 hours a day 5 days a week she earns £440 each week.

The earnings for an hour will be calculated as,

Total hours = 8 x 5 = 40 hours

Earning per hour = £440 / 40

Earning per hour =  £11

To know more about an expression follow

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What is the length c of the right triangle, rounded to the nearest
tenth?

Answers

Answer:

6.1

Step-by-step explanation:

we will name the length in front of the angle , y :

tan(71°)≅2.904= y ÷2

⇒ y=  5.8

and we know that

c = [tex]\sqrt{2^{2} + y^{2} }[/tex]

then  

c = 6.14

and if we round it to the nearest tenth :

c = 6.1

Matt has 43 coins in his piggy bank. He only has quarters and nickels and the total amount of money he has saved thus far is $5.75 How many quarters does he have in his bank?

Answers

The answer is 18.


He has 575 cents.

25q + 5n = 575
q + n = 43

(575-q*25)/5=n
Listing some points in the form (q,n), until we find that q+n is 43:
(0,115); q+n=115
(1,110); q+n=111
(2,105); q+n=107
(3,100); q+n=103
(4,95); q+n=99
(5,90); q+n=95
(6,85); q+n=91
(7,80); q+n=87
(8,75); q+n=83
(9,70); q+n=79
(10,65); q+n=75
(11,60); q+n=71
(12,55); q+n=67
(13,50); q+n=63
(14,45); q+n=59
(15,40); q+n=55
(16,35); q+n=51
(17,30); q+n=47
(18,25); q+n=43
(19,20); q+n=39
(20,15); q+n=35
(21,10); q+n=31
(22,5); q+n=27
(23,0); q+n=23
(24,-5); q+n=19

When q+n is 43, he had 18 quarters!
18*25+(43-18)*5=575
There was a much easier way to do this.

Johanna graphed the number of calls she made during one day. How many calls were made before 6 p.m.?

A histogram titled Cell Phone Calls has time of day on the x-axis and number of calls on the y-axis. From 10 to 12 pm there were 2 calls; from 12 to 2 pm there were 8 calls; from 2 to 4 pm there were 0 calls; from 4 to 6 pm there were 10 calls; from 6 to 8 there were 4 calls; from 8 to 10 pm there were 2 calls.

Answers

Answer:

i think it was 20

Step-by-step explanation:

i took the quiz

Answer:

20

Step-by-step explanation:

By The Way You Matter Dont Give Up

i am having trouble i need help.

Answers

Answer:

A.  y=2x-2

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

to find the slope intercept formula u need the slope, the y-intercept, and the X and Y

1st step: find the slope and to find the slope, pick any two points from the line

point 1: (2,2)

point 2: (3,4)

slope= y2-y1/x2-x1

4-2/3-2=2/1 or 2

the slope intercept form is y=mx+ b, so now substitute the variables for the known

y=2

x=2

m=2

2=2(2)+b

solve the equation

2=4+b

subtract 4 on both sides

b=-2

the slope intercept form is y=2x-2

What is the value of x in the equation

1/3x - 1/2 = 18 1/2


a. 6
b. 15
c. 54
d. 57
PLEASE HELP I HAVE 5 MIN LEFT ON MY TEST

Answers

Answer:

D 57

Step-by-step explanation:

The value of X

For which discoveries did Watson, Crick, and Wilkins receive Nobel Prizes? Check all that apply.

A. The molecular structure of DNA.

B. The importance of heredity in living organisms.

C. the molecular composition of adenine and thymine.

D. The importance of information transfer in living organisms.

Answers

Answer:

b

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

<3 <3 <3

solve the quadratic equation 8x^2-5x-4=0

Answers

Answer:

5 ± 3 √ 17 /16

 

Step-by-step explanation:

Answer:

Step-by-step explanation:

x =(5-√153)/16=(5-3√ 17 )/16= -0.461

x =(5+√153)/16=(5+3√ 17 )/16= 1.086

(23x2 - 5x) - 4 = 0

Need help ASAP. WILL MARK BRAINLIEST

Answers

Answer:it is b2 I took the test

Step-by-step explanation:

Now mark me braunliest

no content. just help. no thoughts. just babi

Answers

Answer:

68cm²

Step-by-step explanation:

6+11=17

17÷2=8.5

8.5×8=68

Answer:

68 sq cm

Step-by-step explanation:

11+6=17

17/2=8.5

8.5*8=68

Are human able to get super powers

Answers

If you get struck by lighting you can get super speed.

Answer:

Humans have limited powers as, but most of us desire to gain the ability to have supernatural powers for fame and fortune. However, only with a radical mutation in the DNA can abilities and powers turn out in them.

Step-by-step explanation:

What is the y-intercept of the quadratic function f(x) = (x-8)(x+3)

Answers

Answer:

-24

Step-by-step explanation:

To find the y intercept, plug x in as 0.

Answer:

-24

Step-by-step explanation:

Y intercept is where graph cuts the y axis and it satisfies x=0

So put x=0 in your equation

F(0)= -8 x 3

F(0)= -24

Therefore y-intercept= -24

10. Select the statements which could describe the graph of a non-proportional
relationship
The winterceptis
The intercept is an integer
The wintercept is a fraction
The line intersects the origin
DELL

Answers

Answer:

Y intercept is 0

Step-by-step explanation:

Bicycles in the late 1800s look very different than they do today how many rotations does each tire make after traveling 600 feet round your answers to the nearest whole number

Answers

Answer: 3

Step-by-step explanation: Dividing 600/188.4, we get 3 to the nearest whole number

The equation of a line in the point-slope form is show below.
y – 9 = 1/5(x-2)
What is the slope of this line?

Answers

Answer:

the answer is m = 1/5

Step-by-step explanation:

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the given equation of the line is 0.2.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c, slope intercept form

y - y₁ = m(x - x₁), point-slope form

where,

x and x₁ are the coordinates of the x-axis,

y and y₁ are the coordinates of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The equation of a line in the point-slope form is y–9=(1/5)(x-2). Therefore, the slope of the line is (1/5).

Learn more about Equation of Line:

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solve the equation 18=n-18

n=_____​

Answers

Answer:

36

Step-by-step explanation:

What is the equation of a line passing through 1,2 and -2,5

Answers

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

ASAP,please answer ! I will of course mark brainliest to the one who answer !

Answers

Answer:

There are 12 possible outcomes in this sample space.

Step-by-step explanation:

There are 3 sweaters. For each sweater, there are 4 skirts. 3 multiplied by 4 is 12.

what’s the answer for this question

Answers

Answer:

66

Step-by-step explanation:

to find the area of a triangle it is base times height at a 90 degree angle divided by to so

11x12 then divide by 2 = 66

What is the probability that the first marble is green a the second is red? Write fraction in simplest form.

Answers

There’s 9 marbles in total and 5 green 2 red and 2 blue so if the first marble is green it would be a 5/9 chance of getting the marble same with the red but the fraction is 2/9

Solve the quadratic equation by completing the square. What are the missing pieces to the steps?
-27 = 4x²- 24x
-27 = 4(x²- 6x + 9)
9 =4(x²- 6x + 9)
9/4 = (x -3)
+__= x - 3
__ = x​

Answers

Answer:

The missing pieces should be after line 3.

9/4 = (x - 3)^2

<=> (3/2)^2 = (x - 3)^2

<=> x - 3 = 3/2 or x - 3 = -3/2

<=> x = 3 + 3/2 or x = 3 - 3/2

<=> x = 9/2 or x = 3/2

Hope this helps!

:)

Answer:

I think the missing steps are:

[tex]\frac{3}{2}=x-3[/tex]

and

[tex]\frac{9}{2}=x[/tex]

Step-by-step explanation:

[tex]-27=4x^2-24x[/tex]

First, factor 4 to make isolate [tex]x^2[/tex]

[tex]-27=4(x^2-6x)[/tex]

Now, divide by 4.

[tex]-\frac{27}{4}=x^2-6x[/tex]

Complete the square by adding [tex](\frac{b}{2})^2[/tex]

[tex](\frac{b}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{b}{2})^2[/tex]

[tex](\frac{6}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{6}{2})^2[/tex]

[tex](3)^2-\frac{27}{4}=x^2-6x+ (3)^2[/tex]

[tex]9-\frac{27}{4}=x^2-6x+9[/tex]

Solve the difference.

[tex]\frac{9*4-27}{4}=x^2-6x+9[/tex]

[tex]\frac{36-27}{4}=x^2-6x+9 \\\frac{9}{4}=x^2-6x+9[/tex]

Factor the equation.

[tex]\frac{9}{4}=(x-3)(x-3)[/tex]

Rewrite it;

[tex]\frac{9}{4}=(x-3)^2[/tex]

Extract the square root.

[tex]\sqrt{\frac{9}{4} }=x-3[/tex]

Take the square root of 9 and 4.

[tex]\frac{3}{2}=x-3[/tex]

Add 3.

[tex]\frac{3}{2}+3=x[/tex]

Do the sum

[tex]\frac{3+2*3}{2}=x\\\frac{3+6}{2}=x\\\frac{9}{2}=x[/tex]

He Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel750≥75 + 125h What value of h does NOT make the inequality true?

Answers

Answer:

h<0

Step-by-step explanation:

75+125h ≤ 750

h≤ 8.333

for negative values of h the inequality will not hold true

What is the solution to this system of equations graphed?

Write your answer as an ordered pair, for example (-4,5).

Answers

Answer:

(2,-2)

Step-by-step explanation:

The solution to a system of equations like these, is where the two lines intersect. In this case, I believe, it would be at point (2,-2). Although, it is a little hard to pinpoint without the labeled number lines.

Hope this helps! Best of luck!

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