Answer:
b = -4 and 0
Step-by-step explanation:
Using the distance formula
D = √(x2-x1)² + (y2-y1)²
√8 = √(b-2)² + (3-1)²
√8 = √(b-2)² + 2²
Square both sides
8 = (b-2)² + 2²
8 = (b-2)² + 4
8 - 4 = (b-2)²
4 = (b-2)²
Square root both sides
±√4 = b- 2
±2 = b - 2
b = -2 - 2 and b = -2 + 2
b = -4 and 0
This gives the values of b
A cargo plane has a maximum take off weight of 910000 pounds which expression can be used to determine the maximum take off weight in tons?
Answer:
910,000 ÷ 2,000
Step-by-step explanation:
1 ton = 2000 pounds
therefor divide pounds by 2000 to get tons
910,000 ÷ 2,000
Can someone please help me
Answer:
8,889
Step-by-step explanation:
1 twig = 10 leaves
1 branch = 10 twigs = 100 leaves
1 trunk = 10 branches = 1000 leaves
1 tree = 10 trunks = 10,000 leaves
The complete tree has 10,000 leaves
The woodcutter cut off:
1 trunk = 1000 leaves
1 branch = 100 leaves
1 twig = 10 leaves
1 leaf
Total number of leaves that were cut:
1000 + 100 + 10 + 1 = 1111
Leaves left on tree:
10,000 - 1,111 = 8,889
A professor wants to estimate the average time it takes his students to finish a computer project. Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours. He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.
Answer:
A sample size of 3 is required.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.
This means that [tex]\sigma = 3.6[/tex]
He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.
The sample size needed is of n, and n is found when M = 5. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]5 = 2.054\frac{3.6}{\sqrt{n}}[/tex]
[tex]5\sqrt{n} = 2.054*3.6[/tex]
[tex]\sqrt{n} = \frac{2.054*3.6}{5}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.054*3.6}{5})^2[/tex]
[tex]n = 2.19[/tex]
Rounding up:
A sample size of 3 is required.
Plsssss help I’ll put you as a brainiest answer
Answer:
your answer would probably be 20 bc I times 5 then times 2 then I got 10. Then I did 10 X 2 and I got 20
f(x) = 4 - 2x – 2x3
g(x) = x² + 7x-9
Find f(x) + g(x).
Answer:
-2x^3+x^2+5x-5
Step-by-step explanation:
f(x) = 4 - 2x – 2x^3
g(x) = x² + 7x-9
f(x) + g(x)=4 - 2x – 2x^3+ x² + 7x-9
Combine like terms
f(x) + g(x) = -2x^3+x^2+5x-5
To simplify 1/4(8)^2(12), Rémy wrote 2^2•12=48. Find and correct Remy’s error.
Answer:
work out 8^2 and then ×1/4
[tex] \frac{1}{4} (8)^{2} = 16 \: not \: 8[/tex]
therefore
[tex] \frac{1}{4} ({8})^{2} (12) = 192[/tex]
What are the minor arcs of OO?
H L O J K
Answer:
JK and LH
Step-by-step explanation:
if u look at it, they are the smaller arcs produced compared to HJ and KL which are much bigger
what number must you add to complete the square? x^2+8x=9
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{x^2 + 8x = 9}[/tex]
[tex]\large\textsf{SUBTRACT 9 to BOTH SIDES}[/tex]
[tex]\mathsf{x^2 + 8x - 9 = 9 - 9}[/tex]
[tex]\mathsf{x^2 + 8x - 9 = 0}[/tex]
[tex]\large\textsf{FACTOR the LEFT SIDE of the EQUATION}[/tex]
[tex]\mathsf{(x - 1)(x + 9) = 0}[/tex]
[tex]\large\textsf{SET the FACTORS to EQUAL 0}[/tex]
[tex]\mathsf{x - 1 = 0 \ OR \ x + 9 = 0}[/tex]
[tex]\large\textsf{Simplify above and you have your answer to the question above (also}\\\large\textsf{known as the results for your x-values)}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 1 or x = -9}}}\huge\checkmark[/tex]
[tex]\large\textsf{But, your overall answer should be:}[/tex]
[tex]\huge\boxed{\textbf{ADD \underline{16} to both sides}}[/tex]
[tex]\large\textsf{Because, you had to break down x}\mathsf{^2}\large\textsf{ to (x + 4)(x + 4) or you could}\\\large\textsf{simply say (x + 2)}\mathsf{^2.}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
We know
(a+b)²=a²+2ab+b²To get 2ab satisfied
2ab=8x2x(b)=8xb=4b²=1616 must be added on both sides to get (x+4)²
20 POINT MATH PROBLEM HELP PLEASE
Answer:
b. x=22
Step-by-step explanation:
3x-23=43
3x=43+23
3x=66
x=22
COMPUTE THE PROBABILITY. If, in a typical work day, a staff member receives 34 emails, what is the probabilitythat in a 5-day work week she will receive less than 175 emails?
Find the image of (−3, 8) after a 270∘ rotation counterclockwise about the origin.
Answer:
(8, 3)
Step-by-step explanation:
For a 270° rotation, the rule is that (x, y) turns into (y, -x)
In (-3, 8), -3 represents x and 8 represents y.
Our answer is then (y, -x), or (8, 3)
The product of 7 , and a number increased by 8 , is 105. What is the number?
Answer:
97
Step-by-step explanation:
A cộng b tất cả bình phương bằng bảo nhiêu
Answer:tôi chưa hiểu câu hỏi của bạn
Step-by-step explanation:
WILL GIVE BRAINLIEST
15 POINTS
Determine how the triangles can be proven similar.
AA~
SSS~
SAS~
Not similar
AA~ as both the triangles are congruent because of vertically opposite angles and alternative interior angles .
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 14 people took the trip. She was able to purchase coach tickets for $370 and first class tickets for $1140. She used her total budget for airfare for the trip, which was $10,570. How many first class tickets did she buy? How many coach tickets did she buy?
Answer:
She bought 7 coach tickets and 7 first class tickets.
Step-by-step explanation:
1. Set the equations up using y to represent first class and x to represent coach:
x + y = 14
370x + 1140y = 10,570
2. Use a graphing calculator to graph the equations and find the point where they intersect. The intersection point will tell you the number bought:
Answer:
Sarah bought y = 8 first class tickets.
Step-by-step explanation:
You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:
330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)
x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:
330x + 1220(17 - x) = 12730
330x + 20740 - 1220x = 12730
-890x + 20740 = 12730
-890x = -8010
x = 9
Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:
9 + y = 17
y = 8
Sarah bought y = 8 first class tickets.
Hope this answer helps you :)
Have a great day
Mark brainliest
If a line has an x-intercept at =
3 and a y-intercept at y = – 5, find its equation in the form
y = mx + b.
y
Answer:
y = 5/3x - 5
Step-by-step explanation:
y = mx + b
b = y-intercept
m = slope
y = mx - 5
plug in the x-intercept
0 = m(3) - 5
5 = 3m
m = 5/3
y = 5/3x - 5
graph is below, both intercepts are on the line
ANYONE KNOW THE ANSWER????
9514 1404 393
Answer:
(c) x = 10
Step-by-step explanation:
The diagonals of a square cross at right angles, so the measure of angle KNJ is 90°.
90 = 10x -10
100 = 10x . . . . . add 10
10 = x . . . . . . . . divide by 10
The value of x is 10.
Graph the following inequality. Then click to show the correct graph.
3x - 2y ≤ 6
Answer:
We want to graph the inequality:
3x - 2y ≤ 6
The first step is to write this as a linear equation, to do it, we can isolate y in one side of the inequality.
3x ≤ 6 + 2y
3x - 6 ≤ 2y
(3/2)x - 6/2 ≤ y
(3/2)x - 3 ≤ y
or:
y ≥ (3/2)x - 3
Because we have the symbol ≥
The points on the line are solutions, then the first part is to graph the line:
y = (3/2)*x - 3
Next, we have:
y equal to or larger than (3/2)*x - 3
Then we need to shade all the region above that line.
The graph can be seen below.
milligrams would you administer?
17. How many milligrams of Rocephin are left in a vial containing
Rocephin 2 grams after 750 milligrams are removed?
Answer:
1250 miligrams.
Step-by-step explanation:
Simple conversion, 2 grams = 2000 miligrams - 750 milligrams = 1250 miligrams.
Lowest 15 percent is showing incorrect
Answer:
Ok, cool
Step-by-step explanation:
Use a net to find the surface area of the cone
to the nearest square centimeter. Use 3.14 for
20 cm
TT.
Answer:
4444
Step-by-step explanation:
Answer:
819
Step-by-step explanation:
addinh jndenf,r fm,fd vm,fd jngtjgntftb n
bm bm tm mt m
tmknmenmgv
etab
etbbbbbbehgeb
tbbbbbbbbbbb
The volume of a sphere is 905 1/7 cm³ ? Determine its diameter
will give brainliest
Volume of the sphere = 4/3πr³
905 1/7 = 4/3*22/7*r³
6336/7 = 4/3*22/7*r³
r³ = (6336*7*3)/(4*22*7)
r³ = 133056/616
r³ = 216
r = ∛216
r = 6 cm
So, diameter = 6*2 = 12 cm
Surface area of the sphere = 4πr²
= 4*22/7*6*6
= 3168/7
Surface area of the sphere = 452.57 sq cm
Hope it helps.
The base of a 40-foot ladder is placed 24 feet away from a wall. What is the
height of the wall if the other end of the ladder reaches the top of it?
A. 32 ft
B. 64 ft
C. 16 ft
D. 26 ft
Answer:
A. 32 ft
Step-by-step explanation:
Pythagoras for right-angled triangles (as that is what this is here - the floor from the base of the ladder to the wall, the wall up to where the ladder ends, and the ladder itself as the Hypotenuse).
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
so, we know,
c = 40 ft
a = 24 ft
we are looking for B
=>
40² = 24² + b²
1600 = 576 + b²
1024 = b²
b = 32 ft
A jacket costs £72 after
a 10% price cut. What
was the original price?
Answer:
£80
Step-by-step explanation:
80-(10%x80)=72. hope this helps
How many three letter permutations are possible from the letters in the word ACTION? ("ACT" is not the same as "CAT" so order is important.)
Answer:
120
Step-by-step explanation:
formula:
[tex]\frac{n!}{(n-h)!}=\frac{6!}{(6-3)!}=120[/tex]
The number of 3 letter words formed from the word ACTION is 120.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
The given word is ACTION.
We need to form a three letter words.
Here, 6P3 = 6!/(6-3)!
= 6×5×4×3!/3!
= 6×5×4
= 120 ways
Therefore, the number of possible words formed from the word ACTION is 120.
To learn more about the permutation visit:
https://brainly.com/question/3867157.
#SPJ3
There are 200 students in a particular graduate program at a state university. Of them, 110 are female and 125 are out-of-state students. Of the 110 females, 70 are out-of-state students. If two of these 200 students are selected at random, what is the probability that both of them are out-of-state students?
Can someone please answer this ASAP?
Answer:
Letter C
Step-by-step explanation:
Given:
[tex]5a+18<-27[/tex]
Subtract 18 from both sides
[tex]5a<-45[/tex]
Divide 5 from both sides to get [tex]a[/tex] alone
[tex]a<-9[/tex]
Letter C is the correct answer choice because the dot is at -9, the arrow is facing to the left, and the dot is open indicating that it's not greater/less than ""or equal to"".
Hope this is helpful
what is 72 Times 27 equal
Answer:
1,944
Step-by-step explanation:
72x27=1,944
Have a wonderful day or night
Answer
1944
Step-by-step explanation:
72*27 = 1944
the image above should clarify how you're actually supposed to do it! couldn't submit this without 20 characters :,)
A father and his son decide to sum their ages. The sum is equal to sixty years. Six years ago, the age of the father was five times the age of his son. Six years the son's age will be?
I will mark as brainlist plzzzzz
Solve the question I know the answer but i cannot solve it..
I can tell you that ans is 16.8 years but solve...
Answer:
20
Step-by-step explanation:
Let father's age be x
let son's age be y
x + y = 60 - (eq 1)
Six years ago,
(x - 6) = 5(y - 6) -(eq 2)
From (1)
x = 60-y
Therefore, 60-y - 6= 5y - 30
y = 14
in six years, y = 20
Your manager is trying to determine what forecasting method to use. Based upon the following historical data, calculate the following forecast and specify what procedure you would utilize.MONTH DEMANDJanuary 59February 65March 65April 67May 71June 70July 77August 77September 77October 75November 83December 81Calculate the simple three-month moving average forecast for April through December. What is the forecast for December? (Round your answer to 2 decimal places)a) 78.33b) 74.67c) 76.33d) 77.00Calculate the weighted three-month moving average using weights of 0.50 (t-1), 0.30 (t-2), and 0.20 (t-3) for April through December. What is the forecast for December? (Round your answer to 2 decimal places)a) 79.40b) 77.00c) 76.00d) 73.70Calculate the single exponential smoothing forecast for February through December using an initial forecast (F1=F-January) of 63. (Use alpha of 0.2) What is the forecast for December? (Round your answer to 2 decimal places) a) 66.30b) 74.37c) 72.22d) 71.52Calculate the mean absolute deviation (MAD) for the forecasts made by each technique in April through December. Which forecasting method do you prefer? (Round your answer to 2 decimal places)a) 3-month moving average (4.15)b) 3-month weighted moving average (3.99)c) Exponential smoothing method (alpha=0.30) (3.58)d) 3-month weighted moving average (3.58)
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file.
For question 1:
Forecast for December:
[tex]\to \frac{(77+75+83)}{3} \\\\ \to 78.33[/tex]
For question 2:
Forecast for December:
[tex]\to (77 \times .5+75 \times 3+83 \times .2) \\\\\to 79.40[/tex]
For question 3:
Forecast for December:
[tex]\to 72.22+(83-72.22)\times 0.2 \\\\\to 74.37[/tex]
For question 4:
So, the 3-month weighted moving average (3.58)