Step-by-step explanation:
the equation is
y = ax + b
a is the slope of the line. this is the ratio y/x indicating how many units y changes, when x changes a certain number of units.
so, when we go from A to B, x changes 2 units (from 3 to 5), and y changes -4 units (from 5 to 1).
so the slope is -4/2 = -2
now or equation looks like
y = -2x + b
to get b we use one of the points in the equation. e.g. B
1 = -2×5 + b = -10 + b
b = 11
so, our full equation is
y = -2x + 11
Anyone know the answer ? Please help asap :((
Answer:
Point B
Step-by-step explanation:
Answer:
the answer is point b...
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $7,200. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$
(b) Find the 90th percentile for the average teacher's salary.
$
Using the normal distribution and the central limit theorem, it is found that:
a) The 90th percentile for an individual teacher's salary is $50,216.
b) The 90th percentile for the average teacher's salary is $43,914.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of $41,000, thus [tex]\mu = 41000[/tex].Standard deviation of $7,200, thus [tex]\sigma = 7200[/tex].Item a:
The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28. Thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 41000}{7200}[/tex]
[tex]X - 41000 = 1.28(7200)[/tex]
[tex]X = 50216[/tex]
The 90th percentile for an individual teacher's salary is $50,216.
Item b:
Average for a sample of 10, thus [tex]n = 10, s = \frac{7200}{\sqrt{10}}[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.28 = \frac{X - 41000}{\frac{7200}{\sqrt{10}}}[/tex]
[tex]X - 41000 = 1.28\frac{7200}{\sqrt{10}}[/tex]
[tex]X = 43914[/tex]
The 90th percentile for the average teacher's salary is $43,914.
A similar problem is given at https://brainly.com/question/24663213
Please help me anyone please ????):
Answer:
Step-by-step explanation:
man the formula is right there!
two points: (3,2) and (7,5)
[tex]y_2=5\\y_1=2\\x_2=7\\x_1=3\\slope=\frac{5-2}{7-3}=.75[/tex]
12345678910121314151617181920 so i can know answer my question yeet help me
Answer:
1) 529
2) 20.5
3) 7,216
4) 13238.2
5) 254.75
Step-by-step explanation:
1) Multiplication 2) Subtraction and Addition 3) Addition and Multiplication 4) Subtraction 5) Multiplication and Subtraction
-ROR
Answer:
1) 529
2) 20.5
3) 720.6
4) 13238.2
5) 254.75
Step-by-step explanation:
You either multiply, add, subtract or divide the numbers.
What term describes the amount you must pay in order to be considered “up-to-date” with your credit card payments?
Interest
Minimum payment
Closing balance
A representative from the bank speaks with you about opening a savings product. You would be guaranteed at least a 3.5% return for the next 10 years when you agree to add $25.00 each month for the entire time. Given this information and that you meet the minimum monthly contribution requirement, what would be your total accumulated value at the end of the 10 years?
Answer:
a 3.5 % return is .035/12 - .002917 / mo
10 years is 120 mos.
This is basically an annuity payment - after 10 years 1$, deposited monthly, would be worth (similar to house mortgage, etc.)
N = (1 - (1 + i)^-120) / i = 241.73
Total amount = 25 * 241.73 = 6043
Note 120 payments at $25 = 3000
This is balanced. True or false?
Answer:
False
Step-by-step explanation:
a=3 b=-2 c=5 d=-4 e=-6
just replace the variables with the numbers.
ex.
e+4ab
-6+4(3)(-2)
-6+12(-2)
-6-24
-30
[tex] \sqrt{27 + {3}^{2} } + 5 \\ \sqrt{27 + 9 + 5 } \\ \sqrt{41 } \\ 6.4[/tex]
HELP LAST ATTEMPT ( get marked brainliest show work
Answer:
D
Step-by-step explanation:
Area of H = 25pi
Area of J = 225pi
225pi/25pi = 9
identify the solutions of the inequality 5 ≤ s − 6
Answer:
s≥11
Step-by-step explanation:
5 ≤ s -6
=5 + 6 ≤ s
=11 ≤ s or s≥11
The solution to given inequality 5 ≤ s − 6 for s will be s ≥ 11.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Given the inequality,
5 ≤ s − 6
Subtracting by 5 on both sides,
5 - 5 ≤ s - 6 - 5
0 ≤ s - 11
Adding 11 on both sides
0 + 11 ≤ s - 11 + 11
11 ≤ s or s ≥ 11
Hence "The solution to given inequality 5 ≤ s − 6 for s will be s ≥ 11".
For more about inequality,
brainly.com/question/20383699
#SPJ2
what is 1\4y+3/8 factored
Answer:
[tex] \frac{1}{4} (y + \frac{3}{2} )[/tex]
use double number lines to find the missing number
Answer:
320
Step-by-step explanation:
80 is 25% of:
ok how we do this is 25% of something is 1/4 of something
so 80 is 1/4 of:
yep, 80 x 4.
80 x 4 is 320, there is your answer!
Yw :D
HELP LAST ATTEMPT to ( get marked brainliest show work !
Answer:
B. 5 3/4 feet
Step-by-step explanation:
33 sq ft is the total area so you need the side lengths, its a square rug, so you just square the number
sqrt 33 = 5 3/4
Answer:
B. 5 3/4 feet
Step-by-step explanation:
33 sq ft is the total area so you need the side lengths, its a square rug, so you just square the number
sqrt 33 = 5 3/4
A number is doubled and then increased by seven. The result is fifty-one. What is the original number?
Answer: I believe it's 22
Step-by-step explanation:
51 - 7 = 44
If the result is 55 and was increased by 7, you'll subtract 7 from 55 and you'll get 44.
44/2 = 22
To find the number that is doubled and makes up 44, you'll divide 2 from 44 and you'll get 22
A proportional relationship is shown in the table below: What is the slope of the line that represents this relationship?
Answer:
Step-by-step explanation: The answer is: 2
A dress that costs $63.99 is on sale for 1/3 off. What is the sale price of the dress? Round your answer to the nearest cent.
Evaluate.
38−(7+2×4)+182
Enter your answer in the box.
the answer is 32
[tex]205[/tex]
hope it helps
HELP. FIND X AND EXPLAIN THE ANSWER
ANSWER CHOICES:
A. x=-3
B. x=4
C. x=48
D. x=29
Answer:
D. x=29
Step-by-step explanation:
(2x-10)+(4x+16)=180
6x+6=180
6x=174
x=29
4(3M - 2) + 2(2M - 1) when M = 5
Answer:
70
Step-by-step explanation:
4(3m-2)+2(2m-1)
4(3×5-2)+2(2×5-1)
4×13+2×9
52+2×9
52+18
Consider the following formula used to find the volume of a cone.
h
V = ir2
3
Which of the following represents the formula that could be used to find the height of the cone?
[tex]\\ \sf\longmapsto V=\pi r^2\dfrac{h}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{h}{3}=\dfrac{V}{\pi r^2}[/tex]
[tex]\\ \sf\longmapsto h=\dfrac{3V}{\pi r^2}[/tex]
Option B
Answer:
[tex] \hookrightarrow \: { \rm{V = \pi {r}^{2} \frac{h}{3} }} \\ [/tex]
• simplify making h the subject:
[tex]{ \rm{3V = \pi {r}^{2} h}} \\ \\ { \boxed{ \boxed{ \rm{h = \frac{3V}{\pi {r}^{2} } \: }}}}[/tex]
Three times the sum of a number and 9 is 12 find the number
Answer:
324
Step-by-step explanation:
9 x 12 = 108 x 3 = 324....yay
Help!!!! I need this due my 9:30
Answer:
D. Subtract 15 cents and add 29 cents
Step-by-step explanation:
He should subtract 15 cents and add 29 cents. This is because at 33.85 we estimated to 34 dollars which was 15 cents higher, so we must subtract by 15 to get to the exact cost. We also need to add 29 cents since we rounded down from 16.29 to 16.
is it normal to forget things almost 4 months after a concussion?
Answer:
Yes I've had that too
Step-by-step explanation:
I had mine for about 5-6 months
Answer:
Yes, a concussion can cause long-term memory loss and recurring short-term memory loss, even weeks, months, or years after the head trauma. Usually, this is known as a symptom of post-concussion syndrome
A store owner sold 4 paint brushes for $12.00 and 8 pens for $3 20. What is the difference between the unit price of a paint brush and the unit price of a pen? 50 POINTS FOR THIS
Answer:
$2.6
Step-by-step explanation:
12/4=3 that means each paintbrush cost $3
3.20/8=0.4 that means each pen cost $0.40
3-0.4=2.6
solve the equation show each step
-36 = -3x -4 -5x
i believe that would be the answer. im sorry if its wrong-
Answer:
4 = x
Step-by-step explanation:
To solve for the value of x
-36 = -3x -4 -5x
Transpose and solve
-36 = -8x -4
-36 + 4 = -8x
-32 = -8x
-32 ÷ -8 =x
Both the negative signs will be cancelled
4 = x
My work is already late because I was suppose to turn it in at 9:30 PM sooo like help?
What is the value of 25^2
Answer:
625
Step-by-step explanation:
Deon plans to ride a 15 mile bicycle trail. If his average speed is 20mi/h, which equation can he use to find the time t, in hours, for the ride?
Answer
15=20t
Step-by-step explanation:
Answer:
t = 15 / 20
Step-by-step explanation:
Given:
Distance traveled by Deon to ride a bicycle trail = 15 mile
Average speed of Deon to ride a bicycle trail = 20 mi/hour
Step-by-Step:
Let 'T' be the time taken to ride the bicycle trail.
We will use distance speed formula to write the equation to find the time 'T' in hours, for the ride.
[tex]Distance=\frac{Speed}{Time}[/tex]
Distance = 15 miles
Speed = 20 miles / hour
Time = 15 / 20
Assuming time is t, the formula would be:
t = 15 / 20
"t = 15 mi/ 20 mi/hr " will help Deon calculate the time he will take.
Therefore, t = 15 / 20
25/100 simplified ? and if there’s any work pls show it
Answer:
[tex] \frac{1}{4} [/tex]
Step-by-step explanation:
25/100
divide both sides with 25
[tex] \frac{25 \div 25 }{100 \div 25} [/tex]
simplify
= 1/4
Answer:
1/4
Step-by-step explanation:
Find HCD (Highest Common Factor) for both numerator and denominator.
The HCF for 25 and 100 is 25
Now divide the numerator and denominator by 25
(25/25) / (100/25)
1/4
And Viola, you got your simplified form!
Line v passes through points (4, 4) and (9, 8). Line w is parallel to line v. What is the slope of line w?
Answer:
slopeᵥᵥ = 4/5
Step-by-step explanation:
mᵥ = (8-4)/(9-4) = 4/5
Select the correct answer from each drop-down menu.
Kurt deposited money into his bank account every month. The amount of money he deposited in the first 5 months of 2014 is listed in the table.
Month Amount Deposited
(dollars)
January 1,200.32
February 985.43
March 1,200.65
April 1,987.34
May 1,000.98
The total amount of money that Kurt had deposited into his account at the end of May is
$6,374.72
. The total amount of money that he had deposited into his account at the end of March is
.
Reset
9514 1404 393
Answer:
$3386.40
Step-by-step explanation:
The amount at the end of March can be found two ways:
add up the deposits for Jan, Feb, Mar:
1200.32 +985.43 +1200.65 = 3386.40
subtract Apr and May from the May total:
6374.72 -1000.98 -1987.34 = 3386.40
The total amount of money that he had deposited into his account at the end of March is $3386.40.