Answer:
x = -7, y = 3
Step-by-step explanation:
x = -2y - 1
x = 3y - 16
so:
-2y - 1 = 3y - 16
add 2 y to each side of the equation:
-1 = 5y - 16
add 16 to each side:
5y = 15
divide both sides by 5:
y = 3
x = 3(3) - 16 = -7
"The frequency of an event uses counting numbers, but the __________________ of an event uses a percent or a number between 0 and 1."
The frequency of an event uses counting numbers, but the ___Relative Frequency__ of an event uses a percent or a number between 0 and 1.
How to find the relative frequency?Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
It ranges from 0 to 1 (since sub group's count ≤ total count. Expressing this decimal form to percent make it range from 0% to 100%
Thus, the frequency of an event uses counting numbers, but the ___Relative Frequency__ of an event uses a percent or a number between 0 and 1.
Learn more about relative frequency here:
https://brainly.com/question/8358304
A triangle is formed by A (0,1), B(1,0) and C (2,4). which transformation could map point A to point F (0,-1)?
A.Reflection over X axis
B.Rotation 90° clockwise
C.Reflection over Y axis
D. translation down 1 unit
Answer:
Answer A: Reflection over x axis
Answer:
C. Reflection over x-axis
Step-by-step explanation:
Each time you reflect something over the x-axis, the x-coordinate stays the same, but the y-coordinate changes.
How many terms of the arithmetic sequence {1,22,43,64,85,…} will give a sum of 2332? Show all steps including the formulas used to calculate your answer. Please don't link me any answers, I am unable to open them.
There's a slight problem with your question, but we'll get to that...
Consecutive terms of the sequence are separated by a fixed difference of 21 (22 = 1 + 21, 43 = 22 + 21, 64 = 43 + 21, and so on), so the n-th term of the sequence, a (n), is given recursively by
• a (1) = 1
• a (n) = a (n - 1) + 21 … … … for n > 1
We can find the explicit rule for the sequence by iterative substitution:
a (2) = a (1) + 21
a (3) = a (2) + 21 = (a (1) + 21) + 21 = a (1) + 2×21
a (4) = a (3) + 21 = (a (1) + 2×21) + 21 = a (1) + 3×21
and so on, with the general pattern
a (n) = a (1) + 21 (n - 1) = 21n - 20
Now, we're told that the sum of some number N of terms in this sequence is 2332. In other words, the N-th partial sum of the sequence is
a (1) + a (2) + a (3) + … + a (N - 1) + a (N) = 2332
or more compactly,
[tex]\displaystyle\sum_{n=1}^N a(n) = 2332[/tex]
It's important to note that N must be some positive integer.
Replace a (n) by the explicit rule:
[tex]\displaystyle\sum_{n=1}^N (21n-20) = 2332[/tex]
Expand the sum on the left as
[tex]\displaystyle 21 \sum_{n=1}^N n-20\sum_{n=1}^N1 = 2332[/tex]
and recall the formulas,
[tex]\displaystyle\sum_{k=1}^n1=\underbrace{1+1+\cdots+1}_{n\text{ times}}=n[/tex]
[tex]\displaystyle\sum_{k=1}^nk=1+2+3+\cdots+n=\frac{n(n+1)}2[/tex]
So the sum of the first N terms of a (n) is such that
21 × N (N + 1)/2 - 20N = 2332
Solve for N :
21 (N ² + N) - 40N = 4664
21 N ² - 19 N - 4664 = 0
Now for the problem I mentioned at the start: this polynomial has no rational roots, and instead
N = (19 ± √392,137)/42 ≈ -14.45 or 15.36
so there is no positive integer N for which the first N terms of the sum add up to 2332.
Could someone please help me with this homework assignment?
Il pay 40 or more if u show work?...
Send me a msg
Answer:
1. $27.30 2. $48.00 3. $15.75 4. $24.20 5. $31.00 6. $40.80
Step-by-step explanation:
1. $13.00 + (1.10)($13.00)
= $ 27.30
2. $60.00 - $60.00(0.20)
= $48.00
3. $15.00 + $15.00(0.05)
= $15.75
4. $22.00 + $22.00(0.10)
= $24.20
5. $25.00(0.06) + $25.00(0.18) + $25.00
= $31.00
6. $32.00(0.075) + $32.00(0.20) + $32.00
= $40.80
Hope this helped :)
please someone help
Answer:
3 < y ≥ -3
Step-by-step explanation:
R = 3 < y ≥ -3
The line can't go beyond 3 and also cant be less than -3.
FIND THE THE
MISSING ANGLE:
31°
29
Answer:
120°
Step-by-step explanation:
31 + 29 = 60
180 - 60 = 120
find the center and radius of this circle
Answer:
Center: (-13, -2) radius = 9
Step-by-step explanation:
Center: (-13, -2) radius = 9
1. A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α = 0.01, test the fast food outlet's claim.
Answer:
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
Step-by-step explanation:
H0 : μ = 3.8
H1 : μ < 3.8
Test statistic :
(x - μ) ÷ s/sqrt(n)
(3.7 - 3.8) ÷ 0.6/sqrt(60)
Test statistic = - 1.29
The Pvalue from test statistic :
P(z < -1.29) = 0.0985
Reject Null if
Pvalue < α
0.0986 > 0.01 ; Hence, we fail to reject the null ;
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
Linda will spend more than $29 on gifts. So far, she has spent $16. What are the possible additional amounts she will spend?
Use c for the additional amount (in dollars) Linda will spend.
Write your answer as an inequality solved for c.
Answer:
c ≥ $13
Step-by-step explanation:
We know that Linda will spend more than $29 on a gift.
This means that if S is the total amount she will spend on the gift, the minimum that she can spend is $29, we can write this as:
S is larger than or equal to $29
S ≥ $29
Now we know that she already spent $16, then we can write:
S = $16 + c
Where c is the additional amount she will spend.
Replacing that in our inequality we get
$16 + c ≥ $29
Now we can subtract $16 in both sides to get:
$16 + c - $16 ≥ $29 - $16
c ≥ $29 - $16 = $13
c ≥ $13
This means that she will spend at least another $13,
Find the area of the shaded sector.
Answer:
92.99
Step-by-step explanation:
The price of a sweater was reduced from $20.00 to $12.00. By what percentage was the price of the sweater reduced?
Answer:
%40 Off
Step-by-step explanation:
Which of the graphs represent the equation y=5x-4 and also correctly states whether it is linear or non linear.
Answer:
B
Step-by-step explanation:
Hi! Because the equation is y=5x-4, it tells is that it intersects with the y axis at -4, and that it's slope goes up 5, right 1. Since B is the only graph that shows that, the answer is b.
PLEASE HELP ANS HURRY!
Abigail and her children went into a bakery and she bought $11.25 worth of cupcakes and cookies. Each cupcake costs $3.75 and each cookie costs $0.75. She bought a total of 7 cupcakes and cookies altogether. Graphically solve a system of equations in order to determine the number of cupcakes, x,x, and the number of cookies, y,y, that Abigail bought.
Number of cupcakes 2
number od cookies 5
Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.
Answer:
x = 6
y = 45 degrees
Step-by-step explanation:
Here, we want to get the measure of x and y
For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees
This mean y is 45
To get x, we know we have an isosceles triangle
So the length of the third ungiven leg is x too
Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides
(6 √2)^2 = x^2 + x^2
72 = 2x^2
x^2 = 72/2
x^2 = 36
x = √36
x = 6
A store has a pair of pants marked $39.99 with a 40% off tag. What is the sale price of the pants?
Answer:
$23.99
Step-by-step explanation:
The graphs of y = 4x and y = 4x are shown below.
In general, how does the growth of y = 4x compare to the growth of y = 4x?
The function y = 4x is growing slower than y = 4x.
The function y = 4x is growing faster than y = 4x.
The functions y = 4x and y = 4x are growing at the same rate.
The function y = 4x is growing faster than y = 4x.
For this case we have the following functions:
y = 4x
y = 4 ^ x
We observed that :
The graph y = 4 ^ x is growing faster than y = 4x, because for smaller values of x, it has the same range as y = 4x.
Answer:
The graph y = 4 ^ x is growing faster than y = 4x
answer is b
Answer:
B is your answer
Step-by-step explanation:
just took on edge 2021
ASAP PLS PLS PLS my heart is so brocken if you don't tell me
Answer: meters: 3 6 9 12
Millimeters: 6,000 7,000 9,000
Step-by-step explanation:
Your adding by 3 in meters and then after 7,000 you have 9,000 then 10,000
I hope this helped!
Answer: 1: 6, 2: 7, 3: 9000, 4: 10
im sure thats it
Step-by-step explanation:
what is the range 2 7 7 5 3 4 3
Answer:
The range is 5
Step-by-step explanation:
7-2=5
HURRY PLEASE I NEED THIS NOW
Answer:
72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
25-7=18
18÷25=0.72×100=72
????????????????? I NEED HELP WITH THIS WILL GIVE BRAINLIEST
Answer:
#3 is 40
#4 is 90
Step-by-step explanation:
Ao desenhar um triangulo, Heitor aproveitou um dos cantos da folha de seu caderno retangular, que formara um dos vértices do triangulo. Para finalizar o desenho, o maior ângulo inteiro que ele pode usar, medindo com um transferidor, e A 1. B 60. C 89. D 90
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Question 1
A cake is cut into 12 equal slices. After 3 days Jake has eaten 5 slices. What is his weekly rate of eating the cake?
Answer:
11.2 Slices / Week
Step-by-step explanation:
We know that Jake has eaten 5 slices of cake in 3 days. You can divide 5 / 3 to get an average of 1.6 slices of cake being eaten per day. The question asks what the weekly rate or eating the cake will be, do you need to multiple 1.6 x 7 for the total amount of cake eaten per week, which is 11.2 slices!
Hope this helped!
37 1/2 of what number is 60
Answer:
The number is 1.6 .
Step-by-step explanation:
37.5x = 60
x = 60/37.5
x = 1.6
Nathan and Noah each bought a video game. Nathan spent $62.40 on his game. Noah spent 3/4 as much as Nathan. How much did Noah spend on his video game?
Answer:Noah spent $46.80 on video game.
Step-by-step explanation:
Amount spent on game by Nathan =$62.40
Amount spent on game by Noah =3/4 as much as Nathan.
Therefore Noah spent 3/4 x $62.40= $46.80 on video game.
Find the mean of these numbers:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11
a 6
b 7
c 6.5
d 7.5
Answer:
c. 6.5
Step-by-step explanation:
mean basically means average
2+3+4+5+6+7+8+9+10+11=65
65/10=6.5
The display below shows the number of home runs hit by six of the players on the Cardinals baseball team.
Cardinals Home Runs
Home Runs Hit
Player
Andrew
Braden
Chester
Dylan
Evan
Freddy
Legend:
represents 4 home runs
Plzzz hurry
Answer:
8
Step-by-step explanation:
If each baseball= 4 homeruns, and Chester has 5 baseballs next to his name (20 homeruns), then Evan hit 12 home runs because 4*3= 12 and he has 3 baseballs next to his name.
20-12=8
the table below shows the meal cost and tip for the last 10 tables that a waiter served.
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
Answer:
Length of the pool = 52 m
Width of the pool = 25 m
Step-by-step explanation:
Perimeter of rectangular pool = 154 m
Let the length of rectangular pool = l m
And width of the rectangular pool = w m
Formula, to calculate the perimeter of a rectangle is given by,
Perimeter = 2(Length + width)
By substituting values in the formula,
154 = 2(l + w) --------(1)
Since, "length of the pool is 2 m more than twice of its breadth"
l = 2 + 2w ---------(2)
Bu substituting value of 'l' from equation (2) to equation (1),
154 = 2[(2 + 2w) + w]
154 = 2(3w + 2)
77 = 3w + 2
3w = 75
w = 25 m
From equation (2),
l = 2 + 2(25)
l = 2 + 50
l = 52 m
Therefore, length of the rectangular pool is 52 m and width is 25 m.
WILL MARK BRAINLIEST IF CORRECT
Answer:
this is the 3rd one or second
Step-by-step explanation:
Miss stephens is buying pencils for all of her students,she already has 7 pencils,and needs a total of 59. If they come in packs of 13, how many packs does she need to buy?
Answer:
4
Step-by-step explanation:
13 x 4 = 52 + 7 = 59