Step-by-step explanation:
Slope:(II)m= -2
y-1=-2(x+4)
y-1=-2x+8
+1. +1
Answer: y=-2x+9
There is an equation that has a slope of 3 and it crosses the y-axis at (0, -1).
What is the equation of this line?
Answer: y = 3x - 1
Step-by-step explanation:
y = 3x + c
-1 = 3(0) + c
-1 = 0 + c
-1 - 0 = c
-1 = c
y = 3x - 1
The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will last between 2.8 and seven years. (a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.) P < x < =
Using the normal distribution, we have that:
a) The sketch of the situation is given at the end of this answer.
b) The probability is:
[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]
In a normal distribution with mean and standard deviation , 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.In this problem:
Mean of 4.1 years, thus [tex]\mu = 4.1[/tex].Standard deviation of 1.3 years, thus [tex]\sigma = 1.3[/tex].Item a:
The part between 2.8 and 7 years is shaded on the sketch given at the end of this answer.
Item b:
The probability is the p-value of Z when X = 7 subtracted by the p-value of Z when X = 2.8, thus:
X = 7:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7 - 4.1}{1.3}[/tex]
[tex]Z = 2.23[/tex]
[tex]Z = 2.23[/tex] has a p-value of 0.9871.
X = 2.8:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.8 - 4.1}{1.3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
0.9871 - 0.1587 = 0.8284, thus:
[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]
A similar problem is given at https://brainly.com/question/25151638
Find the derivative of J(w)= T-Re^x
YOUR INPUT:
[tex]T-Re^{x}[/tex]
FIRST DERIVATIVE:
[tex]\frac{d}{dx} [T-Re^{x} ]\\=\frac{d}{dx} [T]-R*\frac{d}{dx} [e^{x} ]\\=0-Re^{x} \\=-Re^{x}[/tex]
Root/zero found at:
[tex]x=ln(\frac{T}{R} )[/tex]
Are constants like terms
Step-by-step explanation:
yes , all constant are like terms.
carlos registro la altura de una planta cada una semana y se dio cuenta que esta crecio constantemente 3 cm durante las primeras 4 semanas. cuando comenzó a realizar las mediciones lq planta media 12cm ¿ cuál es la variable dependiente y la independiente?
Answer:
yo soy inteligente
Step-by-step explanation:
pero no me se la respuesta de la perunta
What is formed when the number of electrons is changed?
Question 2 options:
isotope
radioisotope
a new element
ion
Answer:
A New Element
What is the missing term in the factorization?
100x2−36=4(5x+?)(5x−3)
Enter your answer in the box.
Answer:
100x^2-36=4(5x+3)(5x-3)
the cash cost is 4700.00 she decides to finance the project by paying 7.0% down and pays 740.00 for 6 months what is the finance charge
Who does edge still in 2021?
Everyone uses this sofware to develop there decent knowledge about different courses that are best taught by Artificial Intelligence (A.I.).
Find the probability that an observation randomly selected from the normal distribution is between 75 inches and 81 inches.
Answer:
Happy birthday to you
Nobody like you
U look like a an animal go back to the zoo
Step-by-step explanation:
HINDI PO NAKATAWA
Which type of function best models the data in the set of ordered pairs?
(-2, 16),(-1, 8), (0,4), (1, 2), (2,1)
Your answer:
A.Linear
B.Quadratic
C.Exponential
Answer:
C) Exponential
Step-by-step explanation:
If you divide the consecutive y-values, you'll get a consistent result of 2:
16/8 = 2
8/4 = 2
4/2 = 2
2/1 = 2
This type of pattern corresponds to an Exponential Function.
given deductions for this week: federal tax $61.34, FICA $52.05, and state $7.92 what is the annual federal tax deduction?
- $6,308,.12
-$3,189.68
-$3,152.06
-$1,594.84
Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.
Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:
The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.
$ 61.34 x 52 = X $ 3,189.68 = X
Therefore, the annual Federal Tax deduction is $ 3,189.68.
Learn more in https://brainly.com/question/25225323
Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
9514 1404 393
Answer:
3.5 hours
Step-by-step explanation:
The separation distance is increasing at the rate of 20 mph + 60 mph = 80 mph. It will be 280 miles after ...
time = distance/rate
time = (280 mi)/(80 mi/h) = 3.5 h
The two cars will be 280 miles apart after 3 1/2 hours.
hhhhhhhhhhhheeeeeeeelllllllllllpppppppppppp me
3+(-5)+9-12÷2
lol easy
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer:
2924
Step-by-step explanation:
2752 ÷ 16 = 172 ← number of points per coin
After collecting 17 points he will have collected
2752 + 172 = 2924 points in total
Answer:
2924
Step-by-step explanation:
Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x
Answer:
[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
Determine the slope (m):
[tex]y = 1 -2x[/tex]
Rearrange into slope-intercept form:
[tex]y = -2x+1[/tex]
Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
Determine the y-intercept (b):
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
Plug in the given point (1,3) and solve for b:
[tex]3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}[/tex]
Therefore, the y-intercept is [tex]\displaystyle \frac{5}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2} x+b[/tex]:
[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]
I hope this helps!
1. What reasons did the members of the Constitutional Convention have for creating the Electoral College?
2. How have voters in America changed since the Constitution was created?
3. Should the Electoral College continue to be used? Why or why not? Use examples from your research to support your answer.
Please help me~!!
Answer:
Non veg se mujhe Run movie ka kawuaa biryaani yaad aa gya
Step-by-step explanation:
Accha bhai koi mujhe batao
Pahle murgi ya anda
Wait your answer
Determine the better buy. A: $9.60 for 3 gallons B: $16.00 for 400 fl ounces
1 gallon = 128 fl ounces
Answer:
A is better, you pay 0.015 less than option B.
Step-by-step explanation:
1 gallon = 128 oz so:
3 x 128 = 384 oz
9.60 / 384 = $0.025 per oz
16.00 / 400 = $0.04 per OZ
x + 2y = 10
y=x-4
Choices are:
(0,4)
(2,6)
(6,2)
(8,0)
Work shown
Plz help I need help
If
f(x) = 6x2 − x3,
find f '(1) and use it to find an equation of the tangent line to the curve
y = 6x2 − x3
at the point (1, 5).
Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:
[tex]\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9[/tex]
Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is
y - 5 = 9 (x - 1)
y = 9x - 4
The equation of "tangent-line" to the curve "y = 6x² - x³" at the point (1, 5) is : y = 9x - 4.
To find the derivative of the function f(x) = 6x² - x³, we differentiate each term with respect to x:
f(x) = 6x² - x³,
f'(x) = d/dx (6x²) - d/dx (x³),
f'(x) = 12x - 3x²,
Now, we need to find f'(1), which means evaluating derivative at x = 1;
f'(1) = 12(1) - 3(1)²,
f'(1) = 12 - 3,
f'(1) = 9,
The slope of tangent-line at point (1, 5) is given by f'(1), which is 9;
Using the point-slope form of equation of line (y - y₁ = m(x - x₁)), where m = slope and (x₁, y₁) is the given point (1, 5);
⇒ y - 5 = 9(x - 1),
Simplify the equation:
⇒ y - 5 = 9x - 9,
⇒ y = 9x - 4,
Therefore, the required equation of tangent-line is y = 9x - 4.
Learn more about Tangent Line here
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How to factor 3x³+3x²-36
Answer:
[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]
Step-by-step explanation:
Firstly, divide all parts of the equation by 3:
[tex]3x^3 + 3x^2-36[/tex]
[tex]3(x^3 + x^2-12)[/tex]
Now focus on the equation:
[tex]x^3 + x^2-12[/tex]
We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:
1 12
2 6
3 4
1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:
[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]
We can confirm this is simplified by multiplying together:
[tex](x - 2) (x^2 + 3x + 6)[/tex]
[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]
= [tex]x^3 + x^2 - 12[/tex]
Meaning it is simplified.
Now, put the equations together:
[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]
Hope this helps!
Evaluate the function for each input listed in the table, and graph the resulting ordered pairs on the coordinate plane.
x f(x) = 2x
0
1
2
3
4
Answer:
0
2
4
6
8
Step-by-step explanation:
f(x) = 2x
f(0) = 2 * 0 = 0
f(1) = 2 * 1 = 2
f(2) = 2 * 2 = 4
f(3) = 2 * 3 = 6
f(4) = 2 * 4 = 8
The complete table of the linear function f(x) = 2x for x = 0 to 4 is:
x 0 1 2 3 4
f(x) 0 2 4 6 8
How to evaluate the function values?The function is given as:
f(x) = 2x
When x = 0, we have:
f(0) =2(0) = 1
When x = 1, we have:
f(1) =2(1) = 2
When x = 2, we have:
f(2) =2(2) = 4
When x = 3, we have:
f(3) =2(3) = 6
When x = 4, we have:
f(4) =2(4) = 8
So, the complete table is:
x 0 1 2 3 4
f(x) 0 2 4 6 8
Read more about linear functions at:
https://brainly.com/question/14323743
Match the following sentences on the left with their algebraic expression on the right.
a. The product of 5 and the sum of a number and 8
Product means multiplied, so that means 5 multiplied by some number plus 8, thus, 5(x+8)
b. A number less than 12
12-x would equal less than
c. The product of five and a number divided by 2
Again, product means multiplied, so its saying 5 times something, all divided by 2, thus, 5x/2
Please give brainliest :) hope this helps!
Answer:
A number less than twelve = 12 - x = b
The product of five and a number divided by two = 5x/2 = c
The product of five and the sum of a number and eight = 5(x+8) = a
Step-by-step explanation:
A number less than twelve
12 minus a number
12 - x
The product of five and a number divided by two
A number times 5 divided by 2
5x/2
The product of five and the sum of a number and eight
A number plus 8 times 5
(x+8)*5
5(x+8)
Which expression is equal to x + 5 + 5x + 10 + 2y? *
Answer:
x + 5 + 5x + 10 + 2y = 6x + 2y + 15
Step-by-step explanation:
Group like terms
= x + 5x + 2y + 5 + 10
Add the number 5 + 10 = 15
= x + 5x + 2y + 15
Add similar elements x + 5x = 6x
= 6x + 2y + 15
Have a good day :)
What is the measure of 1
Answer:60
Step-by-step explanation:The measure of 1 is 60 because it's only half the size of 120
Can someone help me on this question! It’s really confusing
is that all of the question?
5
6
✓
Question 19 (5 points)
Simplify by using long division:
x+2x-6
8
9
x-2
.
A) x + 4 - 22
4
x-
11
12
>
B) x +4 +
14
15
C) x + 2 +
17
18
D) x + 2 -
2-42
✓
20
Question 20 (5 points)
Answer:
1. 2/5
2. 3/20
3. 6 1/9
4. 1/5
5. 11
6. 1
7. 3/13
8. 1 5/11
9. 2
10. 6 1/2
11. 20/27
12. 2 3/16
13. 4 13/18
14. 1 45/98
Hope this helps!
Step-by-step explanation:
Janice is a travel agent. She receives a 7% commission based on the value of the trips she
books. Today she spent 5 hours arranging a $6,300 cruise for a couple.
Based on her commission percentage, Janice was able to earn $441 in commission which translates to $88.20 per hour
The commission that Janice earned is found by:
= Commission percentage x Value of trip booked
= 7% x 6,300
= $441
The amount she earned per hour is therefore:
= Commission earned / Number of hours worked
= 441 / 5
= $88.20
In conclusion, Janice earned $441 in commission and earned $88.20 per hour.
Find out more at https://brainly.com/question/14473634.
The rest of the question is:
a. How much commission did she earn?
b. What was her mean hourly pay for the work she did?