Given the assumption of a normal distribution with a mean of 100 and a standard deviation of 15, a score of 130 represents a z-score of 2. In different mostly older handbooks of descriptive statistics you can find a ‘from z to percentile-table’. Nowadays it’s more easy to use the computer. Using R, a free and open source statistical environment (www.r-project.org), you can use the command pnorm (130, 100, 15) and it will give 0.9772. Because yo want the proportion above that score you use 1-pnorm (130, 100, 15). Another way of writing in R and with for example 3 IQ-scores:
perc = pnorm (c (70, 100, 130), 100, 15)
(1 - perc)
gives you the above-proportion of the IQ-scores of respectively 70, 100 and 130.
Let A = {a, b, c, d}, B = {a, c, d, e}. Let f : A → R and g : B → R such that f = {(a, 1),(b, 2),(c, 2),(d, 4)} and g = {(a, 0),(c, 4),(d, 8),(e, 0)}. State the domain and find: f/g
Answers:
Domain = {c, d}f/g = { (c, 1/2), (d, 1/2) }============================================================
Explanation:
The domain of f: {a,b,c,d} which is drawn from set A.
The domain of g: {a,c,d,e} which is drawn from set B
So far, we can see the possible inputs are: a,b,c,d,e
Let's go through each lowercase letter of the given sets
If 'a' is plugged into f/g, then we'll have 0 in the denominator due to the ordered pair (a,0) in function g. This causes a division by zero error so the input 'a' is not allowed in the domain of f/g.If we tried b, then it would work for function f, but it doesn't work for function g. If we tried to compute g(b), then the result is undefined. This is because the lowercase b input is not found in set uppercase B which is where function g selects its inputs from. So b is eliminated.The input c does work however. f(c) = 2 because of the ordered pair (c,2) in the function f. Similarly, g(c) = 4. This means f/g = 2/4 = 1/2 when the input is c. This shows that c is a valid input in the domain of f/g.The input d is pretty much the same story as input c. Moreover, the input d leads to the same output as c does. This time we have f/g = 4/8 = 1/2 when the input is d. Therefore, d is another valid input in the domain of f/g.The input e is not valid because (e,0) will lead to a division by zero error, as it's part of the g(x) function. So we must eliminate 'e' as a valid option in the domain. Even if we didn't have a division by zero error, we still have the fact that 'e' is not in the domain of the first function f. This is another reason why f/g is not defined when the input is 'e'.To summarize, only inputs c and d are valid in the domain.
The domain is the set {c, d}
Both inputs in the domain lead to the output 1/2. This means the range of f/g is {1/2}. Despite having just one element inside, we must use curly braces to indicate we have a set.
The function f/g is { (c, 1/2), (d, 1/2) }
We simply list all of the (x,y) ordered pairs to describe the function. In this case, there are only two such pairs.
2ja bag has 3 red and 6 green balls. Two
balls are drawn from the bag one after the
other without replacement. What's the
probability of having a green ball drawn
both times
Answer:
5/12
Step-by-step explanation:
Probability of drawing green ball on the first time=6/9=2/3
Probability of drawing green ball on the second time=5/8
Probability of having a green ball drawn
both times=(2/3)*(5/8)=10/24=5/12
-8 + 2x + 17 - x + 20
5. Tristan wants to build a square garden in his backyard that will cover an area of 75 ft². If Tristan has 32 feet of material for the perimeter of the garden, does he have enough? Explain.
Lets find side
Area=75ft^2[tex]\\ \sf\longmapsto Area=(side)^2[/tex]
[tex]\\ \sf\longmapsto (side)^2=75[/tex]
[tex]\\ \sf\longmapsto side=8.3ft[/tex]
Perimeter
[tex]\\ \sf\longmapsto 4(side)[/tex]
[tex]\\ \sf\longmapsto 4(8.3)[/tex]
[tex]\\ \sf\longmapsto 33.2[/tex]
He has 1.2ft short materialEunice buys dog bed with a listed price of $31. Eunice uses a sale that provides 30% off. What is the total
final price Eunice pays?
A. $21.70
B. $23.70
C. $25.55
D. $28.10
Answer:
21.70
Step-by-step explanation:
First find the discount
31 * 30%
31 *.30
9.3
Subtract from the original amount
31 - 9.3
21.70
Find the area.
D
36 m
1
180 m
N
37 m
A. 1100 m
B. 1066 m
C. 555 m
D. 338 m
Answer:
Area of triangle = 1/2×base×height
= 1/2×37×30
= 555m²
The area of the triangle with the given parameters is 555 m².
Given that, NE=37 m and height=30 m.
What is the formula to find the area of a triangle?The formula to find the area of a triangle is 1/2×b×h.
Where, b=base and h=height.
Now, Area=1/2×37×30=555 m².
Therefore, the area of the given triangle is 555 m².
To learn more about the area of a triangle visit:
https://brainly.com/question/22964077.
#SPJ2
(2x+1)(3x+4)=0
2x+1=0 3x+4=0
Solve for both equations. What are the two x-values/answers going to be? Leave your answer in a simplified fraction.
(I don’t know what to do next)
Answer:
2x+1=0.
2x=0-1.
2x=-1.
2x/2=-1/2.
x=-2.
3x+4=0
3x=0-4
3x=-4
3x/3=-4/3
[tex]x = 1 \frac{1 }{3} [/tex]
[tex](-1)^{2} + 2^{3} -0^{4}[/tex]
Answer:
9Step-by-step explanation:
[tex](-1)^{2} + 2^{3} -0^{4}[/tex]
[tex] = 1 + 8 - 0[/tex]
= 9 (Ans)
Classify the following polynomials. Combine like terms first. PLEASE ANSWER I'm really confused. :(
2x-x2+4x+x2
x3-5x2+3-2
x3-x3+x2-x2+3
7x-x2+x3+4x2
-6x-x3+6x-4x
Quadratic monomial
Quadratic binomial
Quadratic trinomial
Cubic monomial
Cubic binomial
Cubic trinomial
Linear monomial
Constant monomial
5−33−32+39+3
Not sure?
Simplify. 2–3 Write your answer in the form a+b.
Answer:
2 + -3
Step-by-step explanation:
2 - 3 in the form a + b is:
2 + -3
where a = 2
and b = -3
The sides in each pair of figures are proportional. Find the missing length.
Answer:
41. is c.
42. is d.
Step-by-step explanation:
The graph below represents the number of books Jaleel has read over the past x weeks.
Books Read
A graph with weeks on the x-axis and number of books on the y-axis. A line goes through points (0, 3), (1, 4), and (2, 5).
Which equation represents the graph?
y = x + 3
y = 3x
y = x – 3
y = one-third x
Answer:
y + x + 3
Step-by-step explanation:
each point adds an additional 3
B is your answer
What is the area of the rhombus shown below?
Answer:
54
Step-by-step explanation:
12*9/2=108/2=54mm^2
THE STUDENTS ON THE SCHOOL NEWSPAPER ARE CONTRIBUTING MONEY FOR A GIFT FOR THEIR STAFF ADVISOR. THE COST PER STUDENT FOR THE GIFT VAIES INVERSELY AS THE NUMBER OF STUDENTS WHO CONTRIBUTE. iT WILL COST $6 PER STUDENT IF 12 STUDENTS CONTRIBUTE. HOW MUCH WILL IT COST PER PERSON IF 15 STUDENTS CONTRIBUTE
Answer:
ok
Step-by-step explanation:
For what values of k will the equation 4x² + 8x + k = 0 have two complex solutions?
Answer:
k = -4x² - 8x
Step-by-step explanation:
Subtract 4x² from both sides of the equation.
8x + k = -4x²
Subtract 8x from both sides of the equation.
k = -4x² - 8x
Answer:
k > 4
Step-by-step explanation:
Using the discriminant to determine the nature of the solutions
• If b² - 4ac < 0 then the solutions are not real, that is they are complex
Given
4x² + 8x + k = 0
with a = 4, b = 8, c = k , then
8² - (4 × 4 × k) < 0
64 - 16k < 0 ( subtract 64 from both sides )
- 16k < - 64
Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity.
k > 4
Any value of k greater than 4 will mean the equation has 2 complex solutions
Emmet went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, he had collected 50 ounces of blueberries.
How many ounces of blueberries did Emmet pick each mile?
Write your answer as a proper fraction or mixed number.
Answer:
16 2/3 ounces
Step-by-step explanation:
Emmet collected 50 ounces of strawberries along a 3 mile walk, he collected 50/3 = 16 2/3 ounces of strawberries each mile
Will give brainliest answer
Answer:
EquivalentNot equivalentEquivalentStep-by-step explanation:
For [tex]3^5^m[/tex]:
Just like [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex], [tex]3^5^m[/tex] equates to [tex]243^m[/tex].
For [tex]81^m[/tex]:
[tex]81^m[/tex] does not equate to [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex].
For [tex]9^{2.5m}[/tex]:
After applying the exponent rule to the equation, it came out to [tex]9^{2.5m}[/tex].
ANSWER QUICK 75 POINTS!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: 3(2+9x)
Line 2: 3(9x+2)
Line 3: 27x+6
Line 1 to Line 2:__________
Line 2 to Line 3:__________
Answer:
Line 1 to Line 2:Commutative property of addition
Line 2 to Line 3:Distributive property
Step-by-step explanation:
Line 1: 3(2+9x) Given
Line 2: 3(9x+2) Commutative property of addition
Line 3: 27x+6 Distributive property
Answer:
Line 1-Line 2=Commutative property
Line 2-LIne 3=Distributive property
Step-by-step explanation:
Lets solve
[tex]\\ \rm\longmapsto 3(2+9x)[/tex]
Commutative Property[tex]\\ \rm\longmapsto 3(9x+2)[/tex]
Distributive property[tex]\\ \rm\longmapsto 27x+6[/tex]
Write 7,08 x 10" in standard notation
Answer:
70.8
Step-by-step explanation:
7.08×10 is 70.8
...............
See attachment for the question
Answer:
-22
Step-by-step explanation:
f(x) = 3x^2 - 5
let x= 3
f(3) = 3*(3)^2 -5 = 3(9) -5 =27-5 =22
g(x) = -2x+5
Let x = 3
g(3) = -2(3) +5 = -6+5 = -1
f(3) *g(3) = 22(-1) = -22
How do you model a decimal using a fraction?
Answer:
The only reason I can’t type it right now it’s cause I’m doing something important so I’m so sorry if I hade to type this out but I’m a bit busy right now And I’m trying to answer as much questions as possible. Thank you
Step-by-step explanation:
Hope this helps you
Write down the decimal in fractions with the denominator 1.
We multiply the denominator and numerator by 10 for every number after the decimal point.
Simplify the fraction if needed.
6. (09.02 MC)
An object's velocity is defined by the vector-valued function v(t)
= (In(t –2), e^(2t-t^2))
What is the acceleration vector a(t) at t(3)? (10 points)
O
01-14
O
O
Answer:
Hello,
Step-by-step explanation:
[tex]v_x(t)=ln(t-2)\ \Longrightarrow\ a_x(t)=\dfrac{1}{t-2} \\\\v_y(t)=e^{2t-t^2}\ \Longrightarrow\ a_y(t)=e^{2t-t^2}*(2-2t)\\\\t=3\ i\ suppose\ \\\\a_x(3)=\dfrac{1}{3-2}=1\\\\a_y(t)=e^{6-9}*(2-6)=-\dfrac{4}{e^3}[/tex]
how do you put 300,000+10,000+6,000+20+9
Answer:
three hundred thousand plus ten thousand plus six thousand plus twenty plus nine
Step-by-step explanation:
300,000 → three hundred thousand
10,000 → ten thousand
6,000 → six thousand
20 → twenty
9 → nine
+ → plus
Now put everything together.
Best of Luck!
Solve w = 9x + 5 y for y
Answer:
w-9x/5=y
Step-by-step explanation:
w=9x+5y
subtract 9x from both sides
w-9x=5y
divide by 5y
w-9x/5=y
Find the missing side, then, round to the nearest tenth.
Looking for help with this problem!
Answer:
4.6 = x the side opposite C would be 6.1
Step-by-step explanation:
you can use law of sine
you know you have a right triangle so the missing angle B = 49
4/sin41=x/sin49
What’s the coordinates pair
Answer:
(5, 35) and (25, 20)
Step-by-step explanation:
The question is saying that x = minutes spent watching videos and y = minutes spent playing video games. Gian has 45 minutes in total to spend. The equation for Gian spending y minutes playing video games if he spent x minutes watching videos would be 45 - x, since x minutes have been taken away from Gian's 45 minutes by watching videos.
Knowing this, if he spent 5 minutes watching videos (x) on Monday, that means he spent 40 minutes playing video games. So, the first coordinate point would go to (5, 40). On Tuesday, he spent 25 minutes watching videos, which would mean he spent 20 minutes playing video games. The second coordinate point would go to (25, 20).
Plsssssssssssssssss help fast
Answer:
yes tht right pls mark me branilest
Find the midpoint between each pair of points (-1,-5) and (-5,9)
Answer:
(-3,2) is the midpoint
Step-by-step explanation:
ok
Given the sequence -14, -6, -2, 0, 1, ..., find the recursive formula.
Answer:
C is the answer to your question
5. (09.06 MC)
The graphs of the polar curves r = sin e-2 and r = cos(20 + 3) are shown.
Find the area of R, which is the region inside r = sin 6-2, but outside r = cos(20 + 3). (10 points)
31.416
12.566
15.708
0 25.133
Answer:
12.566
Step-by-step explanation:
A = ∫1/2(r)^2dtheta from a - b = 0 to 2π
∫1/2(sin^2theta-4sintheta+4)dtheta
[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…
when you solve this you get 14.137 without taking out the cos(2theta+3)