Answer:
n = 18
Step-by-step explanation:
Multiply each side by 3 to cancel out the 3 under n. It should now look like this: n = 18I hope this helps!
A representative sample of oak trees in a forest shows the trees to have a mean
circumference of 19.7 inches and a standard deviation of 1.3 inches. Assuming the
circumferences are normally distributed, estimate the proportion of oak trees in this forest that have a circumference greater than 21 inches.
Explain or show your reasoning.
Answer:
15.87% portion of oak trees in this forest have a circumference greater than 21 inches
Step-by-step explanation:
Given that
Mean = μ = 19.7 inches
SD = σ = 1.3 inches
We have to find the probability of circumference greater than 21 inches
Let x = 21 inches
First of all we have to find the z-score of the value
z-score is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
Putting the values
[tex]z = \frac{21-19.7}{1.3}\\z = \frac{1.3}{1.3}\\z = 1[/tex]
We will use the z-score table to find the probability of x<21
P(z<1) = 0.8413
The value gives us the area under the curve up till that value
To find the greater than probability, we have to subtract less than probability from 1.
P(z>1) = 1 - P(z<1) = 1 - 0.8413 = 0.1587 => 15.87%
Hence,
15.87% portion of oak trees in this forest have a circumference greater than 21 inches
What is the slope of this line?
Enter your answer as a whole number or a fracion in simplest
forn in the box
need help please, will give Brainly
Answer:
evaluate C2 + 4a - b
-2 +4(-5)-3
4=-2-5-3
4=4
=4-4
=0
The equation below has one solution.
9x - 10 = 3x + 2
What is the solution to the equation?
–2
–1
1
2
Answer:
x=2
Step-by-step explanation:
please answer this questioncould u please answer this question
Answer:
3
Step-by-step explanation:
3p - 1 = 5(p-1) -2(7-2p)
(simplify)
3p -1 = 5p-5-14+4p
3p-1 = 9p-19
(make p the subject)
3p-9p = -19+1
-6p = -18
p = -18/-6
p = 3
es 6
Step-by-step explanation:
3p-1= 5p-5-14mas4p
3p-4p-5p= -5-14mas1
3p-4p-5p= -18
3p-9p=-18
_3p=-18
p=-18:-3
p=6
1. A man walks for 12 hours. The table shows his
total distance, in miles, for several walking
times
3
5
8
10
12
Distance
6.3 9.2 15.7
19.5
24.5
|(Miles)
What does the correlation coefficient for the
data indicate about the strength of the linear
association between the time and the distance?
Answer:
Weak positive correlation
Step-by-step explanation:
Just trust me
Also it’s positive in a graph but it’s not changing that much so it’s weak
what are the possible coordinates of point a?
Answer:
(0,5)
Step-by-step explanation:
Hope this helped, Have a Great Day!!
Complete the table showing the price of different amounts of grapes at this rate
Bill made $231 for 11 hours of work. At the same rate, how many hours would he have to work to make 105 ?
Hey,
The answer is 55
I wrote the solution, you can look.
Good luck :)
the altitude H of cylinder with a constant volume V is inversely proportional to the square of its radius R. write the related variation equation
Answer:
The related variation will be:
H = V/R²Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k × 1/x
Here 'k' is the constant of proportionality
Given that the altitude H of a cylinder with a constant volume V is inversely proportional to the square of its radius R.
so the equation can be mapped as
H ∝ 1/R²
H = k/R²
In this case, the k is the constant volume. i.e. V = k
Thus, the equation becomes
H = V/R²
where H is the altitude, V is the constant volume and R is the radius.
Therefore, the related variation will be:
H = V/R²The variation equation showing the relationship between H, V and R is given by H = VR²
A direct proportional relationship is that in which as one variable increases the other variable increases and vice versa.
An indirect proportional relationship is that in which as one variable increases the other variable decreases and vice versa.
Let H represent the altitude and R represent the radius.
H ∝ R²
H = VR²; V (volume) is the constant of proportionality
The variation equation showing the relationship between H, V and R is given by H = VR²
Find out more at: https://brainly.com/question/13977805
Joel needs 785 tickets to get the prize he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
He needs to play 23 more times. 785 / 35 = 23
He will have extra points but it will be enough to get the prize.
Find the solution of the systems of equations
Answer:
-2,-2
Step-by-step explanation:
-
Answer:
................(-2,-2)
A bicycle is on sale for $189.00. The sales tax rate is 5%. How much is the sales tax?
Answer:
The tax rate is 9 dollars and 45 cents.
Step-by-step explanation:
WILL MARK BRAINLIEST!!!! BRAINLIEST!
Write 206 in base 7
Answer:
104
Step-by-step explanation:
Answer:
appreciate it man
Step-by-step explanation:
best of luck
what is the slope of the line that passers through the point(9,-1)and(4,-11)
Answer:
slope is 2
Step-by-step explanation:
-11-(-1) =-10
4-9=-5
-10/-5
=2
Slope-2x
5.5 x 18.2 = r whats r
Answer:
r=100.1x
Step-by-step explanation:
Answer:
55 91
—— • (x^——)
10 5
Step-by-step explanation:
Pleaseeee helpppp !!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
8
Step-by-step explanation:
AC=2DE
48-4x=2(64-7x)=128-14x
14x-4x=128-48
10x=80
x=80/10=8
DE=64-7x=64-7*8=64-56=8
Which ordered pair is a solution to the equation 8x - 2y = 4?
Question 1 options:
(0, -1)
(1, 3)
(2, 6)
(3, 4)
Answer:
i think 0,1
Step-by-step explanation:
bc iit goes like that lol
During a sale, the price of a sweater was changed from $20 to $16. What was the percent of decrease in the price of the sweater?
Possible Answers:
A. 40%
B. 25%
C. 20%
D. %4
Answer:
c
Step-by-step explanation:
20 to 16 is 20% trust me lol
Answer:
The answer is B
Step-by-step explanation:
What is the approximate circumference of the circle shown below ? A^ 12.2 cn O A. 76.6 cm B. 48.8 cm C. 19.2 cm O 38.3 cm
Answer:
D. 38.3 cm
Step-by-step explanation:
Just took test on a p e x
Answer: 38.3
Step-by-step explanation:
Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 6 locations are generated, what is the probability that at least 1 of those locations is over land?
Answer:
.00059 or .0006
Step-by-step explanation:
You are trying to find what won't be in the water because there are many combinations so you use a complement formula.
1-0.79=0.29
Use the left over percentage in an equation to determine the probability.
[tex]1-(0.29)^6=0.000594823[/tex]
The exponent 6 comes from the number of locations.
Answer:
.8719
Step-by-step explanation:
This is an educated guess feel free to give a negative review if I'm wrong
What is the answer F()=-8
Answer:
The answer is 8³
Step-by-step explanation:
I think the letter f represents a hidden potential cubic number
1) The roots of the equation 9x2 + 3x – 4 = 0 are
A) real, irrational, and unequal
B) real, rational, and unequal
C) imaginary
I
D) real, rational, and equal
Answer:
D.
Step-by-step equation:
I don't know but i think this is the answer.
The roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.
What is a quadratic equation?A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.
For the given situation,
The equation is 9x^2 + 3x – 4 = 0
The roots of the equation can be found by the formula,
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
here, a = 9, b = 3 and c = -4
Substitute the above values,
⇒ [tex]x=\frac{-3+\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex] or [tex]x=\frac{-3-\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex]
⇒ [tex]x=\frac{-3+\sqrt{9+144 } }{18}[/tex] or [tex]x=\frac{-3-\sqrt{9+144 } }{18}[/tex]
⇒ [tex]x=\frac{-3+\sqrt{153 } }{18}[/tex] or [tex]x=\frac{-3-\sqrt{153 } }{18}[/tex]
⇒ [tex]x=\frac{-3+12.36 }{18}[/tex] or [tex]x=\frac{-3-12.36 }{18}[/tex]
⇒ [tex]x=\frac{9.37}{18}[/tex] or [tex]x=\frac{-15.37}{18}[/tex]
⇒ [tex]x=0.5205[/tex] or [tex]x=-0.8538[/tex]
Hence we can conclude that the roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.
Learn more about quadratic equation here
https://brainly.com/question/12014272
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which number line shows the solution of 6x-12>-6
Answer:
x > 1 The open cicle dot should be on 1 and should go beyond 1. So 1,2,3,4...etc
Step-by-step explanation:
Combine like terms in (3x+5)+(4x-30
Answer:
The answer is 7x-25
Step-by-step explanation:
(3x+5)+(4x-30)
=3x+4x+5-30
=7x-25
Answer:
(3x+4x) + (5-30)
Step-by-step explanation:
For this problem which is all addition and subtraction it is simply having you combine like terms or rather terms with same variables (3x and 4x). You just need to be careful with the signs when you rewrite the problem so when you solve you get the correct answer. Example if you were to solve this one you would combine your numbers with variable of x and then the numbers without the variable:
(3x+4x) +(5-30)
7x + -25 or 7x-25
Mr. Champion invests 34,000 into a money-market fund that pays 4.8% simple interest. How long will it take for him to earn $8,160 in simple interest?
Pls show all work
Answer:
5 years
Step-by-step explanation:
Step one:
Given Information
Principal= $34,000
rate = 4.8%
SImple interest = $8,160
Required
The time T of the investment
Step two:
the expression for simple interest is
[tex]SI= PRT/100[/tex]
substitute
[tex]8160 = 34000*4.8*T/100[/tex]
cross multiply we have
[tex]8160*100= 34000*4.8*T\\\\816000= 163200T\\\\[/tex]
divide both sides by 163200
[tex]816000/163200= T\\\\T= 5 years[/tex]
Divya has 70 rocks. She donates half of the rocks to a science center. Then she collects 3 rocks on each of her nature hikes. Write an expression to represent the number of rocks Divya has after she collects rocks on n nature hikes
SOMEONE HELP PLEASE ASAP
Answer:
The last one: Decreasing then increasing
Step-by-step explanation:
Answer:
d?
Step-by-step explanation:
Find the slope of the line.
(1,6)
(3,2)
Its also on the picture btw
Answer:
- 2
Step-by-step explanation:
It helps when u make a table using the points given
x y
1 6
3 2
from 6 to 2 you need to subtract 4
from 1 to 3 you need to add 2
now its y/x
4/2 = 2
Since the line is going down that means your slope is negative so...
-2 will be your slope
Hope this helped!
Answer:
The slope is -2.
Step-by-step explanation:
There are two ways to solve this problem.
1st way is by looking at the graph:
*Identify what the rise over run is. In this case, it woult be 2 over 1 which if you divide 2÷1, it would be 2.
*Then, if the graph is going down, the slope is negative, and if the graph is going up, the slope is positive. If it's vertical, the slope is undefined, and if it's horizontal, the slope is zero. Since, it's going down, your slope would be negative.
2nd way is by subtracting y2 - y1 and x2 - x1:
(The order doesn't matter as long as you are subtracting correctly)
* First, 6 minus 2 is 4, and 1 minus 3 is -2. After, divide 4 by -2, and you'll end up with -2.
* Or you can do it the other way round. First, 2 minus 6 is -4, and 3 minus 1 is 2. After, divide -4 by 2, and you'll end up with -2
Use the Quotient Rule to find the UNSIMPLIFIED version of the derivative. R(w)=3w+w^4/ 2w^2+1.
Pls show work!!!
From your previous questions, you know
(3w + w⁴)' = 3 + 4w³
(2w² + 1)' = 4w
So by the quotient rule,
R'(w) = [ (2w² + 1)•(3w + w⁴)' - (3w + w⁴)•(2w² + 1)' ] / (2w² + 1)²
That is, the quotient rule gives
R'(w) = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²
I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:
R'(w) = [ (2w² + 1)•(3 + 4w³) - (3w + w⁴)•(4w) ] / (2w² + 1)²