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
The proportion of trees having a diameter less than 9 inches is 32.64%
z score is used to determine by how many standard deviations the raw score is above or below the mean.
It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score.\mu\ is\ mean,\sigma\ is \ standard \ deviation[/tex]
Given that μ = 10, σ = 2.2, hence:
[tex]For\ x<9:\\\\z=\frac{9-10}{2.2} =-0.45[/tex]
From the normal distribution table, P(x < 9) = P(z < -0.45) = 0.3264 = 32.64%
The proportion of trees having a diameter less than 9 inches is 32.64%
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What is the slope of a line perpendicular to the line whose equation is 15x+12y=-108
Answer:
m perpendicular 1/3
Step-by-step explanation:
Have a nice evening.
I NEED THIS NOW! PLZ HELP! 1ST GETS BRAINLIEST! PLZ USE THE 3-READ PROTOCOL
manny has 1/2 of a yard of a fabric with which he intends to make bookmarks. each bookmark is made from 1/8 yard of fabric. how many bookmarks can manny make?
tl;dr: Manny can make 4 bookmarks.
Hello!
So, Manny has 1/2 yards of fabric, and it takes 1/8 yards of fabric to make a bookmark.
The total amount of bookmarks Manny can make is 4.
When you do 4 · 1/8, you'll see that it gives you 4/8, or 1/2 simplified. This is all of the yards of fabric Manny has.
Solve for x: -9x < 27
Answer:
x > -3
Step-by-step explanation:
Since you need to get a by itself as a variable divide both sides by -9 (but in inequality when you divide by - the sign flips)
x > -3
Evaluate the following expression: 24^3+7.2-15^5+6.2
Answer:
=−745,537.6
Step-by-step explanation:
Hope that helps
write an equation for the line below
Answer:
y = -X + 4 is the equation for the line below
y= 4x-3?
Help me please
Answer:
5 hi
Step-by-step explanation:
What is the solution to the expression -2-3-(-4)?
A)-9
B)-3
C)-1
D)5
I really need help I'm confused
Answer:
H
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
he averages 4 goals per game maning we will multiply 4 by x so 4x
x is the number of games and 4 is the amount he makes pergame so we have to find x and so we divide 40 by 4 to get x
A cab company charges a $3 flat rate in addition to $1.50 per mile what will represent the x axis
Can someone help me figure this out!!!
Answer:
Basic Concept used:
Since D is the mid-point of EF,
ED will be equal to DF since D is in the middle of the line segment
We are given the following values for ED and DF
ED = 4x + 6 and DF = 7x - 9
Solving for x:
Since ED = DF (D is the mid point)
4x + 6 = 7x - 9
9 + 6 = 7x - 4x
15 = 3x
x = 5
Finding the values of ED , DF and EF:
we know that x = 5 (from the last section)
we are given the following values of the line segments:
ED = 4x + 6
DF = 7x - 9
EF (ED + DF) = (4x + 6) + (7x - 9)
Replacing x with 5 in each of these equations:
ED = 4(5) + 5 = 26
DF = 7(5) - 9 = 26
EF = (4(5) + 6) + (7(5)-9) = 26 + 26 = 52
The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 1/4
full. How much gas is still in the tank? Give your answer as a whole number or as a mixed fraction reduced to the lowest terms.
Answer:
4 1/4 gallons
Step-by-step explanation:
The amount of gas in the tank is 1/4 of 17 gallons.
1/4 * 17 gallons = 0.25 * 17 gallons = 4.25 gallons = 4 1/4 gallons
4 1/4 or 17/4
What is a mixed fraction?
A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Step 1: Multiply the denominator with the whole number. Step 2: Add the numerator to the product obtained from step 1. Step 3: Write the mixed fraction with the sum obtained from step 2 as the numerator and the denominator of the original fractional part of the mixed fraction.
Given,
Full tank capacity = 17 gallons
gasoline gauge shows = 1/4 of full tank
= 1/4 of 17 gallons
= 17/4 gallons
= 4 1/4 gallons
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help i forgot 3(x−4)≥−2x+3
Answer:
The answer is x_> 3
Step-by-step explanation:
Answer:
x≥3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3x−12≥−2x+3
Step 2: Add 2x to both sides.
3x−12+2x≥−2x+3+2x
5x−12≥3
Step 3: Add 12 to both sides.
5x−12+12≥3+12
5x≥15
Step 4: Divide both sides by 5.
5x
5
≥
15
5
x≥3
I’m not dumb I’m just to tired to think !
Answer:
[tex]ths \: proberbility \: is \: \frac{5}{10} = \frac{1}{2} [/tex]
Answer:
ANSWER: 1/2
Step-by-step explanation:
there is 2 green and 3 yellow, 2+3=5, total of 10, so 5/10= 1/2.
Which of the following equations have no solutions?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
-60x+32=-60x+60−60x+32=−60x+60minus, 60, x, plus, 32, equals, minus, 60, x, plus, 60
(Choice B)
B
-60x+32=32x-60−60x+32=32x−60minus, 60, x, plus, 32, equals, 32, x, minus, 60
(Choice C)
C
-60x+32=-60x-32−60x+32=−60x−32minus, 60, x, plus, 32, equals, minus, 60, x, minus, 32
(Choice D)
D
-60x+32=32x+60−60x+32=32x+60
Answer:
B & D
Step-by-step explanation:
Options B and D have a solution from the given set of equations.
We need to find from the given which equation does not have solutions.
How to determine whether the equation has no solution?Solve the given equation for x. If you get any value then the equation has a solution.
From option (A):
-60x+32=-60x+60
⇒-60x+60x=60-32
By simplifying the above equation we get no x value. So, there are no solutions.
From option (B):
-60x+32=32x-60
⇒-60x-32x=-60-32
⇒-92x=-92
⇒x=1
From option (C):
-60x+32=-60x-32
By simplifying the above equation we get no x value. So, there are no solutions.
From option (D):
-60x+32=32x+60
⇒-92x=28
⇒x=0.304
Therefore, options B and D have a solution.
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How can we efficiently multiply by multiples of 10?
Answer:
just add a zero
Step-by-step explanation:
because if you do all the work it's just a waste of time when you could get the same answer by just adding a zero.
Mary has 24 pounds of sugar and is going to separate it into , pound bags for the students in her class. How many bags of sugar will she have?
Answer:
24?
Step-by-step explanation:
Which of the following correctly describes the sum below
A. Rational
B. Both Rational and Irratiinal
C. Irrational
D. Neither rational nor irrational. T.I.A
Answer:
rational
Step-by-step explanation:
Answer:
A rational because it is
A system of equation is shown: 2x = -y + 6 -4x + 3y =8 what is the solution tonthis system of equations? (-1, -4) (1, 4) (4, 4) (-4, -1)
Answer:
(1 , 4)
Step-by-step explanation:
2x = -y + 6
-4x + 3y = 8
2x = -y + 6
2x - 6 = -y
-2x + 6 = y
-4x + 3y = 8
-4x + 3(-2x + 6) = 8
-4x - 6x + 18 = 8
-10x + 18 = 8
-10x = -10
x = 1
-2x + 6 = y
-2(1) + 6 = y
-2 + 6 = y
4 = y
find the value of x in the proportion 4/7 = x 56 pls help!!
Answer:
98
Step-by-step explanation:
4=x56×7
4=x392
392/4=X
98
What is the solution for tge equation
8x-12=4x?
Answer:
Step-by-step explanation:
8x - 12 = 4x
-12 = 4x - 8x
-12 = - 4x
-12/-4 = x
3 = x
Is this a function or not
Answer:
no its a not funtion
Step-by-step explanation:
bc 1 n 3 is reapeat
You are planning a laser tag party. Company A charges $6 per person to use the facility. Company B charges $100 plus $4 per person.
For how many people attending would the companies be equal?
Please answer honestly
Answer:
50 people until it was equal
Step-by-step explanation:
6p=100+4p
2p=100
p=50
6(50)=100+4(50)
300=100+200
300=300
Can you answer these 3
Answer: A. B. A.
Step-by-step explanation:
plz help... ill give u 20 points
Please help will put brainliest
Answer:
e^2v/2a^3y^7
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the second one would be the correct anwser i think.
Step-by-step explanation:
Which inequality has -25 in its solution set?
y + 11 > -9
y - 17 Less-than-or-equal-to -46
30 Less-than-or-equal-to y + 5
y + 20 > -30
Answer: the first option is correct
Y+ 11> -9 this answer is most likely right.
Step-by-step explanation: -25 + 11 = 14 so that makes it bigger that -9 and that it has -25 in the solution set. Let me know if this is for Edmonton.
Answer:
It was D
Step-by-step explanation:
does anyone know how to do the work these out? thank you!! ☺️
(b) 3(27) = 3(25 + 2)
Answer:
3(27) = 3(25 + 2) = TURE
Step-by-step explanation:
Left side: Use long multiplication:
| | 3
× | 2 | 7
Multiply 7 by the digit in the top row:
| | 3
× | 2 | 7
| 2 | 1
Multiply 2 by the digit in the top row:
| | 3
× | 2 | 7
| 2 | 1
| 6 | 0
Add:
Answer: 81
Right Hand: Simplify the following:
3 (25 + 2)
Hint: | Evaluate 25 + 2.
25 + 2 = 27:
3×27
Hint: | Multiply 3 and 27 together.
3×27 = 81:
Answer: 81
please help me asap
Answer:
53/10
Step-by-step explanation:
First do 10 time 5 to get 50 then add 3 for 53.
tl;dr: A.) [tex]\frac{53}{10}[/tex]
Hello!
A very easy way to write mixed fractions as improper fractions is to multiply the denominator and the whole number, and then add the numerator to your product. Make sure you keep the same denominator as before.
So, first you multiply.
10 · 5 = 50
Now, you add the numerator.
50 + 3 = 53
Remember to keep your denominator.
[tex]\frac{53}{10}[/tex]
Your answer is A.) [tex]\frac{53}{10}[/tex]
Hope this was helpful. Have a great day!