Answer: 6x^2 -17x +12
Step-by-step explanation:
In order to avoid power failures due to falling limbs and down trees, power companies will intentionally kill trees growing near their lines. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 25% of elm trees. The power company tests the chemical on 300 elms. Consider these an SRS from the population of all elm trees.
A) What are the mean and standard deviation of the proportion of trees that are killed?
B) Is it okay to use normal calculations for this problem? Explain.
C) What is the probability that at least 26% of the sample is killed?
Answer:
a)
Sample mean p = 25% = 0.25
standard deviation σ = 0.025
b)
YES, it okay to use normal calculations for this problem since the sample size is 300, hence np>10 and nq>10
so the conditions satisfied for normal approximation/calculations
c) the probability that at least 26% of the sample is killed is 0.6554
Step-by-step explanation:
Given the data in the question;
Suppose that one such chemical would kill 25% of elm trees. The power company tests the chemical on 300 elms
sample size n = 300
a) What are the mean and standard deviation of the proportion of trees that are killed?
Sample mean p = 25% = 0.25
standard deviation σ = √( pq / n ) = √( (0.25 × (1 - 0.25)) / 300 )
σ = √( (0.25 × 0.75) / 300 )
σ = √( 0.1875 / 300 )
σ = √0.000625
σ = 0.025
standard deviation σ = 0.025
b) Is it okay to use normal calculations for this problem?
YES, it okay to use normal calculations for this problem since the sample size is 300, hence np>10 and nq>10
so the conditions satisfied for normal approximation/calculations
c) the probability that at least 26% of the sample is killed
Now we are to find
P( P < 0.26 )
since its a normal approximation, we can convert p to z
so
P( P < 0.26 ) = P( Z < ( x-p / σ )
P( P < 0.26 ) = P( Z < ( 0.26-0.25 / 0.025 )
= P( Z < (0.01 / 0.025) )
= P( Z < 0.4 )
form z score table; P( Z < 0.4 ) = 0.6554
so
P( P < 0.26 ) = 0.6554
the probability that at least 26% of the sample is killed is 0.6554
Find a linear equation to solve for the following unknown quantities: One number is three more than twice another number. If the sum of the two numbers is 36, what are the numbers?
What percent of 74 is 13.6? Write your answer to the nearest tenth.
Answer:
18.37 is the answer so it should be 18.4
Step-by-step explanation:
1. Complete the table below to show the dimensions of
the figure if it is enlarged or reduced by the scale factor.
PLEASE HELP I Need This done now for homework
Answer:
I really want to help but I cant
Helllllpppp please
Help
Answer: it is B "67%"
Step-by-step explanation:
If you take 100% of the population and subtract 33% you will end up with an ending product of 67%
Calculate the rate per litre at which a car uses petrol,if it uses 20l of petrol to travel 180 km
Answer:
1 L of petrol is used to travel 9 km.
Step-by-step explanation:
You can find the answers through the ratio method
20 L : 180 km
1 L : x
( x is the number we must find )
20 x = 180
x =
x = 9 km
Which statement is true?
D
Show Your Work
A The greatest common factor of 10 and 14 is 5
B. The greatest common factor of 10 and 15 iss.
C. The greatest common factor of 13 and 21 is 3
D. The greatest common factor of 14 and 21 is 3
Can the sides of a triangle have lengths 6, 17, and 19?
Answer: pretty sure
Step-by-step explanation:
Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the number of CDs that she purchased and y represent the number of DVDs.
Find the mean, median, mode, and range of these numbers 75,95,90,95,60,95,75,95,90
Answer:
Mean=85.56, median=90, mode=95 and range=35
Step-by-step explanation:
To calculate the mean is the same as the average value in a data set. Median is data value separating the upper half of a data set from the lower half. The median is the data value separating the upper half of a data set from the lower half. The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number from the largest number.
"The sum of 4 and a number, divided by 2 is less than -6."
Answer:
[tex]\frac{4+n}{2} < -6[/tex], n < -16
Step-by-step explanation:
To write this into an inequality you need to recognize keywords. The first keyword is "sum" this means the two numbers must be added; so the first part of the inequality is 4+n. Then, it says the sum is "divided by" 2; this means both numbers must be put over two like [tex]\frac{4+n}{2}[/tex]. Finally, this is "less than" negative. Therefore, this must be an inequality with a sign opening towards -6. So the final answer is [tex]\frac{4+n}{2} < -6[/tex].
To solve the inequality isolate the variable. Multiply both sides by 2, so the new inequality is [tex]4+n<-12[/tex]. Next, subtract 4 from both sides. The answer is n < -16.
Consider the following incomplete mapping diagrams.
Part A: Complete Diagram A so that it is a function.
Part B: Is it possible to complete Diagram B so that it is NOT a function? If so, complete the diagram to show a relation, but not a function. If not, justify your reasoning.
Part C: Is it possible to complete the mapping diagram for Diagram C so it represents a function? If so, complete the diagram to show a function. If not, justify your reasoning.
Answer:
a
Step-by-step explanation:
A student graduated from a 4-year college with an outstanding loan of
$9650 where the average debt is $8455 with a standard deviation of $1865. Another student
graduated from a university with an outstanding loan of $12,360 where the average of the outstanding
loans was $10,326 with a standard deviation of $2143. Which student had a higher debt in
relationship to his or her peers?
Answer:
University student has more debt
Step-by-step explanation:
9650-8455/1865 =0.64 College student
12360-10326/2143 =0.95 University student
Hopefully this helps
Can anyone help me please
Answer:
4x-8=2x+4
x=6
Step-by-step explanation:
Find the solution of the system of equations.
6x + 2y = 16
2x - =
2y = 32
Answer:
x=6 and y=−10
Step-by-step explanation:
You can also solve this system by elimination.)
6x+2y=16;2x−2y=32
Step: Solve6x+2y=16for x:
6x+2y+−2y=16+−2y(Add -2y to both sides)
6x=−2y+16
it's proceeds
The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?
A 1,989
B 2,022
C 2,652
D 2,685
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webwork / W2021math267 / assignment_3_power_series_and_taylor_series / 8
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signment 3
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lor Series
Assignment 3 Power Series and Taylor Series: P
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Problem 8
ettings
cos(4x2) - 1
(1 point) Let f(x) =
Evaluate the 10th derivative of f at x = 0.
x2
Problems
f(10)(0) =
Hint: Build a Maclaurin series for f(x) from the series for cos(x).
1
2
3
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[4 ×{ 3 - ( 2- 1/3 )}]
PLEASE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST THANK YOU
Answer:
11 cows and 6 ducks
Step-by-step explanation:
Can someone please Solve x^2+2x -3 =x^2
The answer i worked out is x=3/2
james has a recipe that calls for 6 cups of sugar he wants to use only 1/2 of the recipe today how much sugar will he need do you multiply or divide
answer:
he would use 3 cups of sugar and would need to multiply
step-by-step explanation:
since he only wants 1/2, we would multiply by the original amount6 X 1/2 = 3 cups of sugar
Round 5.23 to the nearest tenth.
Answer:
The answer is 5.20
Step-by-step explanation:
Since the tenth place is lower than 5 it stays the same
Please help ! I don’t get it!
Answer:
PR = 16
SR = 12
Step-by-step explanation:
6/8 = (x-3)/(x+1)
8x-24 = 6x+6
simplify
2x = 30
x = 15
PR = 15 + 1 = 16
SR = 15 - 3 = 12
Help me please thanks
Answer:
Step-by-step explanation:
you have a right triangle
to find the missing length(x) you will use
a^2+b^2=c^2
where c is the hypotenuse
49^2=25^2+x
x^2=49^2-25^2=2401-625=1776
x=[tex]\sqrt{1776}[/tex]=42.1
Answer:
fguiio0wasiswillandandisandiswas747andtheinthatisthattheisandintheandthatisand8thethehaiandinis66fyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
Standard Form:
80.92
Expanded Form:
80 + 0 + 0.9 + 0.02 = 80.92
Standard Form:
67.03
Expanded Form:
60 + 07 + 0.0 + 0.03 = 67.03
Hope its correct :)
Answer:
what they said
Step-by-step explanation:
What is the value of this expression when c = -4 and d = 10
Answer:
B: 9
Step-by-step explanation:
First plug in the numbers to the equation
[tex]\frac{1}{4} (c^{3} + d^{2})[/tex]
[tex]\frac{1}{4} (-4^{3} + 10^{2})[/tex]
Then use PEMDAS to solve
[tex]\frac{1}{4} (-4^{3} + 10^{2})[/tex]
[tex]\frac{1}{4} (-64 + 100)[/tex]
[tex]\frac{1}{4} (36)[/tex]
9
Each bracelet needs 7_2/3 inches of string. If Samantha is making 4 bracelets, how many inches of string does she need?
Answer:
30.667 inches of string
Step-by-step explanation:
25 points plus brainliest This is language art
Answer:
Its blurry and I can't see
8. Which situation is best modeled by an exponential function?
A The number of mold spores on a loaf of bread, if the amount of mold is quadrupling every 5 days.
B. The amount of tip a person will leave if he or she tips 20% of a food bill.
C. The value of a baseball card that is decreasing by $0.75 every 4 years.
D. The cost to purchase salmon that costs $8.99 per pound.
If answered soon i will give brainliest
Answer:
C. The value of a baseball card that is decreasing by $0.75 every 4 years.
Step-by-step explanation:
The exponential function would represent a mathematical function in the form of f(x) = a^x
where
x denotes the variable
a denotes the constant
So according to the given options, the option C would represent the exponential function
Hence, the option c is correct
The length of a side of a cube can be determined
by Ending the cube root of its volume. If a cube has
a volume of 64 cm', what is the length of a sde?
A 4.0 cm
B. 8.0 cm
C. 160 cm
D 32.0 cm
Answer:
Side of cube = 4 cm
Step-by-step explanation:
Given:
Volume of cube = 64 cm³
Find:
Side of cube
Computation:
Volume of cube = side³
64 = side³
Side of cube = 4 cm