mu = 1100 = population mean
sigma = 275 = population standard deviation
x = 1400 = raw score
z = z score
z = (x-mu)/sigma
z = (1400-1100)/(275)
z = 300/275
z = 1.0909090909091 approximately
z = 1.09
Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).
The positive z score is due to Paula's raw score being above the mean.
La circunferencia es tangente a la recta 3x - 4y = 34 en el punto (10, -1) Y también es tangente a la recta 4x + 3y = 12 en el punto (3, O). Hallar la ecuación de la circnferencia.
Answer:
La ecuación del círculo en la forma es (x - 145/12)² + (y - 109/16)² = (545/48)²
Step-by-step explanation:
La información dada son;
La primera línea tangente al círculo en el punto (10, -1) = 3·x - 4·y = 34
La segunda línea tangente al círculo en el punto (3, 0) = 4·x + 3·y = 12
Las rectas tangentes dadas en forma de pendiente e intersección, y = m·x + c son;
3·x - 4·y = 34
4·y = 34 - 3·x
y = 34/4 - 3/4·x = 8.5 - 3/4·x
Primera tangente
y = 8.5 - 3/4·x
3·y = 12 - 4·x
y = 12/3 - 4/3·x = 4 - 4/3·x
Segunda tangente
y = 4 - 4/3·x
La recta de la ecuación de los radios es perpendicular a la tangente y se encuentra con la tangente en el punto de intersección con el círculo como sigue;
La primera ecuación radial tiene pendiente, m = 1/(-3/4) = 4/3
La ecuación en forma de punto y pendiente es y - (-1) = 4/3×(x - 10)
y = 4/3×(x - 10) - 1 = 4/3·x - 40/3 - 1 = 4/3·x - 43/3
Por tanto, la ecuación del primer radio es;
y = 4/3·x - 43/3
La segunda ecuación radial tiene pendiente, m = 1/(-4/3) = 3/4
La ecuación en forma de punto y pendiente es y - 0 = 3/4×(x - 3)
y = 3/4×(x - 3) = 3/4·x - 9/4
Por tanto, la ecuación del segundo radio es;
y = 3/4·x - 9/4
Los dos radios se encuentran en el centro dado como sigue;
4/3·x - 43/3 = 3/4·x - 9/4
4/3·x - 3/4·x = 43/3 - 9/4
7/12·x = 145/12
x = 145/12
y = 3/4·x - 9/4 = 3/4·145/12 - 9/4 = 109/16
Las coordenadas del centro = (h, k) = (145/12, 109/16)
La longitud del radio, r = √((109/16 - 0)² + (145/12 - 3)²) = 545/48
La ecuación del círculo en la forma (x - h)² + (y - k)² = r² es, por lo tanto;
(x - 145/12)² + (y - 109/16)² = (545/48)².
i need help plzzzzsww
it's the third one, slope -1 y intercept 3
I FORGOT HOW TO DO THIS I NEED HELP ASAP!!!
Given g(x) =
1/4(15 - x)^2
what is the value of g(7)?
Answer:
16
Step-by-step explanation:
Substitute (7) into the equation.
y= 1/4(15-(7))^2
Is this true or false? Pls help a dumb person out
David can complete 4 math problems in 15 minutes. He has 20 math problems to do. How long will it take him to finish his test?
Answer:
75 min or 1 hour and 15 min
Step-by-step explanation:
15/4
=3.75
3.75*20
=75
PLz answer this Question
(1008.5)(2) pleasee helpp
Answer:
2,016.4
Step-by-step explanation:
You and a friend are paid $38.25 for doing yard work.
You worked 2.5 hours and your friend worked 2 hours.
You split the money according to the amount of time
each of you worked.
How much money did you make in an hour?
In a circle with radius 0.2,
an angle intercepts an arc
of length 0.1. Find the
angle in radians to the
nearest 10th
Answer: 0.5
Step-by-step explanation:
Adam is d years old and Brandon is b
old and Brandon is b years older than Adam.
In how many years will Brandon be twice as old as Adam is now?
Answer:
-b years from now
Step-by-step explanation:
The age of Adam = d
The age of Brandon = b
The number of years Brandon is older than Adam = b
Therefore;
b = d + b
∴ d = 0
Therefore, Brandon will be twice as old as Adam is now when Brandon is 2 × 0 = 0 years
The number of years before Brandon will be twice as old as Adam is now = 0 - b = -b years from now
are the two lines parallel,perpendicular, or neither ?
Answer:
1. neither
2. neither
3. parallel
4. perpendicular
Step-by-step explanation:
what is 1080 miles on 15 gallons
Answer:
72 miles per gallons
Step-by-step explanation:
also can i have brainliest
A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slope-intercept form.
Answer:
Point-slope form: y + 5 = 13/-4 (x-1)
Slope-intercept form:
Step-by-step explanation:
Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).
Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.
Hope that helped.
2.4x + 4.6x = 28 Could someone help me with this problem I need it.
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
2.4x + 4.6x = 28
Step 2: Solve for x
Combine like terms (x): 7x = 28Divide 7 on both sides: x = 4Step 3: Check
Plug in x to verify it's a solution.
Substitute in x: 2.4(4) + 4.6(4) = 28Multiply: 9.6+ 18.4= 28Add: 28 = 28Here we see that 28 does indeed equal 28.
∴ x = 4 is a solution of the equation.
5,3,1,2,3,2,4,2,1,6,3,4,3,6 what is the mode to this data
Answer:
the mode is 3.
Step-by-step explanation:
when organized, it's in this order:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6
the most repeated number in the dataset is 3.
If in the 1980's about 60 million families had Tv's in their homes and in 2015 there was almost 100 million families that had Tv's in their home how many more Tv's were there in 2015?
Answer: 40 million
Step-by-step explanation:
Number of families that had TVs in their home in 1980s = 60 million
Number of families that had TVs in their home in 2015 = 100 million
To calculate the increase in TVs that were there in 2015, we subtract the number of families that had TVs in their home in 1980s which was 60 million from the number of families that had TVs in their home in 2015 which was 100 million. This can be expressed as:
= 100 million - 60 million
= 40 million
Answer:
it would be 1950 and 45 million
Step-by-step explanation:
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?
Answer:
$8700
Step-by-step explanation:
Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.
Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.
Then add the two together like this: $7200+$1500= $8700.
Answer:8000
Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.
Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.
Then add the two together like this: $7200+$1500= $8700.
a vehicle rental company charges $25 to rent a moving van plus $50 for each mile traveled . which equation represents the total cost of renting a van if you spend a total of $35 and drive , d mile
Answer:
25+d(0.50)
Step-by-step explanation:
It costs 25 dollars to rent a vehical but its 50 cents per each mile.
Find the 81st term of the arithmetic sequence 24, 11, -2, ...24,11,−2,
Answer:
-1029
Step-by-step explanation:
24, 11, -2...
f(n) = 24 - 13n
f(81) = 24 - 13(81) = 24 - 1053 = -1029
Kinda new at this can someone teach me how to work this app?
Answer:
you scan Ur question at the homepage
Step-by-step explanation:
if there's one, it'll show up
and yea u know how to ask a question so I won't explain XD
Answer:
yeah of course!! first don’t be a catfish cause i saw your profile pic on google (:<
Step-by-step explanation:
=1/3(3w - 12)= 1/6( 24-6w)
Answer:
i got you it's w=4
Step-by-step explanation:
2w/2=8/2 your going to divide both sides by 2. simplify that which gives you w=4
Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?
Answer: 1.78 repeating
Step-by-step explanation:
Answer:
1 7/9
Step-by-step explanation:
Hope this helps. Pls give brainliest.
54÷6+0.42×(9×8÷2+82)
Answer:
58.56
Step-by-step explanation:
Why is the function below called a rational function?
f(x) =x+3
——
x-2
Last year, Pinwheel Industries introduced a new toy. It cost $ 4 , 300 to develop the toy and $ 25 to manufacture each toy. Fill in the blanks below as appropriate. A.) Write a linear equation in the form C = m n + b that gives the total cost, C , to produce n of these toys:
Answer:
C=25n+4300
Step-by-step explanation:
Given that,
Last year, Pinwheel Industries introduced a new toy. It cost $4 ,300 to develop the toy and $25 to manufacture each toy.
We need to write a linear equation in the form C=mn+b that gives the total cost, C, to produce n of these toys.
Here, m will be cost for each toy and b is the cost to develop each toy. So,
C=25n+4300
Hence, this is the required solution.
Fernando is starting a new sales job and needs to decide between two different salary plans. For Plan A, he will earn $100/week plus 15% commission on all sales. For Plan B, he will earn $150/week plus 10% commission on all sales. For what amount of weekly sales are the two plans equal?
Answer:
At 10 weeks
Step-by-step explanation:
100+15x=150+10x
15x=50+10x
5x=50 divided both sides by 5 and x=10
Can someone simplify8x + 5x please
Answer:
13x
because you would comibne like terms, so you add the 8 and 5.
Answer:
x=0
Step-by-step explanation:
Simplifying
8x + 5x = 0
Combine like terms: 8x + 5x = 13x
13x = 0
Solving
13x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '13'.
x = 0
Simplifying
x = 0
what is the square root of 199 lie between
Hi!
I'm assuming the question means what integers, so let's figure it out.
Starting from 12, 12 squared is 144, or the square root of 144 is 12.
13 squared is 169, or the square root of 169 is 13.
14 squared is 196, or the square root of 196 is 14.
15 squared is 225, or the square root of 225 is 15.
Based on that list of numbers, we can determine that the square root of 199 lies between the square root of 196 and the square root of 225 -- aka 14 and 15.
how do i solve for c 0.2(c - 3)= -10
Answer: c = -47
Step-by-step explanation:
1. Divide both sides
2. Move the constant to the right
3. Calculate
Answer:
c = -47
Step-by-step explanation:
Here's how!
0.2(c - 3) = -10 (distribute 0.2 to c and -3)
0.2c - 0.6 = -10 (add 0.6 to both sides)
0.2c = -9.4 (divide by 0.2 on both sides)
c = -47
Plug in
0.2(-47 - 3) = -10 (add -47 and -3)
0.2(-50) = -10 (distribute)
-10 = -10
Hope this helps!!