Explanation:
A solution is where the lines intersect. Graph A shows exactly one solution, and it is at (-2,2)
Graph B doesn't have any solutions since the lines are parallel, and parallel lines never intersect. We consider this system to be inconsistent.
Graph C has infinitely many solutions. The two lines perfectly overlap, meaning there are infinitely many intersection points. All solutions here are of the form (x,y) = (x,2x-1)
The weight of people in a small town in Missouri is known to be normally distributed with a mean of 162 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,401 pounds or 19 persons.” What is the probability that a random sample of 19 persons will exceed the weight limit of 3,401 pounds?
Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004
Using the relation ::
Zscore =(X - μ) ÷ σThe mean, μ = np = (162 × 19) = 3078
The standard deviation, σ = 28 × √19 = 122.049
The Zscore :
Zscore = (3401 - 3078) ÷ (122.049)
Zscore = 2.65
Hence,
P(Z > 2.65) = 1 - P(Z < 2.65)
Using a normal distribution table :
P(Z > 2.65) = 1 - 0.9959
P(Z > 2.65) = 0.004
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A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 49c x 1 dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation
Answer:
5 miles
Step-by-step explanation:
divide the 9 by 45 to get 6 subtract the 1 to get 4
pls solve the photo?
Answer:
8. B
9. D
Step-by-step explanation:
I think this is right if I'm not mistaken ..
Help if so OMH thanks
Answer:
$2.80
Step-by-step explanation:
24.40-13.20=11.20
11.20/4=2.8
What is the value of b?
b
B+42
B-20
Answer:
i think its 62
Step-by-step explanation:
that's my best guess I'm so sorry if its wrong I tried
Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?
Answer:
Look down :)
Step-by-step explanation:
The two equations must equal 180 degrees. So what you could do it 4x + (2x + 12) = 180
then solve. If this isnt enough information just comment :)
If no I hope this helped
For the two lanes to be parallel, the value of x must be 28 degrees,
The given information states that the same-side interior angles are 4x degrees and (2x + 12) degrees.
For parallel lines, the sum of these angles must equal to 180 degrees.
As per the concept of linear sum,
4x + (2x +12) = 180
Adding the like terms, we get:
(4x + 2x) + 12 = 180
Simplifying, we get:
6x + 12 = 180
Subtract 12 to both sides, and we get:
6x = 180 - 12
Simplifying, we get:
6x = 168
x = 28
Therefore, the value of x is 28 degrees.
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Giving brainliest for number 31
Answer:
b, d, c
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
f(x)=x²-x
#CarryOnLearning
hopeithelps,,thanks
The function f(x) is shown in this graph.
The function g(x) = -2x - 5.
Compare the slopes and y-intercepts.
A. The slopes are different but the y-intercepts are the same.
B. Both the slopes and the y-intercepts are different.
C. The slopes are the same but the yintercepts are different.
D. Both the slopes and the y-intercepts are the same.
The true statement about the functions f(x) and g(x) is (b) B. Both the slopes and the y-intercepts are different.
How to compare the slope and the y-intercept?The function g(x) is given as:
g(x) = -2x - 5
A linear equation is represented as:
y = mx + b
Where m represents the slope, and b represents the y-intercept.
So, the slope of the function g(x) is -2 and the y-intercept is -5
For the function f(x), the slope is calculated using:
m =(y2 -y1)/(x2 - x1)
Using the points on the graph, we have:
m =(3 - 1)/(1 - 0)
Evaluate
m = 2
The line of the function f(x) cross the y-axis at (0,3);
So, its y-intercept is 3
Hence, both functions have different slopes and different y-intercepts
Read more about linear functions at:
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The degree of the polynomial function f(x) is 4.The roots of the equation f(x)=0 are −6, −2, 1, and 3.Which graph could be the graph of f(x)?
HELP!?!?!?! I can't figure this out
Answer:
So, I believe n/2 may be even and 3n+1 is odd. They succumb to 3n if that helps.
Step-by-step explanation:
I'm not certain on what to do but I hope this helps some what.
Hey everyone I would greatly appreciate some help here :)
I’m doing a chapter quiz and I honestly am 99% sure this is right but since it’s a big quiz I thought it wouldn’t be bad to get a second opinion and if I’m wrong a step by step answer so I can do it properly next time ok so here is question
Jasmine opened a bank account and she deposited 84.50 dollars into her account every month for 20 months. She also used 50.50 every month to pay for dance lessons, after 20 months she used 1/49& the total money left in her account to go to camp. What is the total amount of money jasmine spent to go to the camp?
115
135
155 or
170
Now I picked 170 because I got 680 from all that and 1/4 of 680 is 170 atleast I’m 99% sure lol if I’m right just let me know but if I’m wrong please tell me how so I can do it properly next time :)
Answer:15
Step-by-step explanation:
3
Select the correct answer.
Jenny is tracking the monthly sales totals for her boutique. The given plecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
(4,000(1.1)",
0 < I<3
1001 + 5,024,
3 < I<6
-12 + 5 + 5,630, 6
What were the boutique's monthly sales when Jenny first began tracking the data?
ОА.
$5,616
B.
$4,000
Ос.
$5,324
OD
$4,400
Reset
Next
Answer:
B. $4,000.
Step-by-step explanation:
Essay buys 3 apples, 5 bananas, and 7 peaches from a market. What is the ration of bananas to total fruit in simplest form?
Answer:
5:15 or 1:3
Step-by-step explanation:
Answer:
1 : 3
Step-by-step explanation:
Number of bananas = 5
Total fruits = 15 (3 + 5 + 7)
Ratio = 5 : 15
Simplified form = 1 : 3
Antony spends £244 on a plane ticket and €110 on airport tax. Using £1 = €1.12, what percentage of the total cost does Antony spend on airport tax? Give your answer rounded to 1 dp.
2) A pizza and bottle of soda together cost $14. If the pizza costs 6 times the price of the bottle
of soda, what is the price of each item?
HELP!!
Answer:
$14.6
Step-by-step explanation: because adding how all they are in total.
NO LINKS!!
What's the Perimeter?
a. 2x+8
b. 2x+9
c. 3x+8
d. 3x+9
Answer:
A. 2x + 8Step-by-step explanation:
The perimeter is:
x + x sides3 + 1 + 4 = top and bottomTotal:
P = 2x + 8Correct choice is A
Answer:
A is correct
Step-by-step explanation:
Given g(x) = 2x + 5, find g(1).
Step-by-step explanation:
The value of g is already given. Replace g by 1 and find the value of x which is a negative two. After that, substitute and find that g is indeed equal to 1.
thankyou
X-(-y-z+3) remove the parentheses
Answer:
x + y + z - 3
Step-by-step explanation:
Basically, putting a negative sign before parentheses signifies that you want to flip the sign of everything within the parentheses. This can also be explained by the negative sign representing -1.
Knowing this, we can just multiply everything within by -1.
-y -> y
-z -> z
3 -> -3
We now have y + z - 3, just put this into the original expression and we have our final answer of:
x + y + z - 3
:)
Find polynomial function of degree 3. Such that f(2)=24 and x-1, x and x+2 are factors of the polynomial
Answer:
5
Step-by-step explanation:
how do you turn 4.90 into a fraction
Which of the following functions has a maximum value of m, where m is a positive constant?
With explanation please.
The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.
For any function to have a maximum, the differential of the function must be equal to zero.
If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.
For the function [tex]f(x)=-(m+x)^2[/tex]
[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]
Since the value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]
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choose the equation of the graphed function
the measure of the first angle is 40 degrees less than the measure of the second? need explanation. HELP
I'm going to be there in a few minutes and then I'll be back to work tomorrow morning if you want to come over and take it easy tomorrow morning if you want to go to the store and get some of the stuff you can do for me and I'll get it done and I'll be there in a bit and then I'll get
Erin ran 5 km in 25 minutes. What is her speed in km per minute? (Answer as a decimal)
Answer:
what what what what what what what what
Which is the following is a possible solution for the inequality? x+7<10
Answer:
[tex]x + 7 < 10 \\ x < 10 - 7 \\ x < 3[/tex]
Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50. What is the cost for a pound of parmesan? What is the cost for a pound of ricotta? NEED ANSWER QUICKLY.
Answer:
$16
Step-by-step explanation:
let x = cost of ricotta cheese
let x + 5 = cost of parmesan cheese
.5x + .25(x+5) = $9.5
solve this and we get x =11 (cost per pound for ricotta)now we plug that value back into x + 5 to find the cause of the cost of parmesan cheese
11 +5 = 16y = 16
The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50.
Let 'x' be the cost of ricotta cheese. Then the cost of parmesan cheese will be (x + 5). Then the equation is given as,
0.5x + 0.25 · (x + 5) = $9.5
Simplify the equation, then we have
0.5x + 0.25 · (x + 5) = $9.5
0.5x + 0.25x + 1.25 = $9.5
0.75x = 8.25
x = $11
Then the cost of parmesan cheese is given as,
x + 5 = $11 + 5
x + 5 = $16
The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.
More about the solution of the equation link is given below.
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4% of 50
Percent of a quantity
M
Answer:
4% of 50 is 2
Step-by-step explanation:
права 1.5. Цукерки M&M мають різні
кольори, і різні кольори виступають в
і
різних пропорціях. Нижчезгадана tabeta
подає правдоподібність, що обраний М
долі&M має кожен колір, але бракує
цінності для брунатних цукерок.
Брунатний Червоний колір, Жовтий
Зелений Оранжевий ясно брунатний
Правдоподібність згаданих кольорів 0,3
0,2 0,2 0,1 0,1? (а) Яку цінність мусить
мати бракуюча правдоподібність (ясно
брунатний)? (b) Доля ти добираєш M&M з
пакету. Яка є правдоподібність кожного з
нижчезгаданих випадків? І. ти Одержуєш
брунатним або червоним. II. Ти не
одержиш жовтого. ІІІ. Ти не одержиш ані
оранжевого, ані брунатного. М. Ти
одержуєш такий, який брунатний,
червоний, зелений, оранжевий або
світло-коричневий.
Answer:
Якщо ти перекладаєш це, то ти неписьменний. якщо ти читаєш це, я пишаюся тобою. Його коричневий. Лол. Нані, УуУ, Оні-Чан.
Step-by-step explanation:
What is the least five-digit even number with no repeated digits?
. A store is going to mark down all of their items by 33%. The cost of a computer you really want is $750. How much will the computer get marked down?
Answer:
$247.50
Step-by-step explanation:
33/100x750=247.50
Since 33% in a fraction is 33/100, use that x 750 and you will get how much the computer gets marked down.
Hope this helps! Thanks.