Answer:
Smallest number = 3500
Step-by-step explanation:
Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.
In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.
Thus, the smallest number Yuri could be thinking of is 3500
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2008, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the number of new cases would reach 543
Answer:
Step-by-step explanation:
I use 84+ CE
stat edit, then fill in the #s
then
vars 5
then
2'nd stat plot, on
then, click stat
Click arrow 1 time to the left to get to Calc
then click (4)(LinReg(ax+b))
then click enter 5 times
(y=-25.31428571x+1000.285714
y=-25.3x+1000.3
now, lets use computer:
y=-25.31(543)+1000.3
y=-12743.03
round to the biggest whole number )
this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing
now I get
y=-25.31428571x+51603.54286
y=-25.3x+51603.5
now, lets use computer:
y=-25.3(543)+51603.5
y=37865.6
round to the biggest whole number:
y=37866
so, year 37866
Using the line of best-fit, it is found that:
The linear regression model is [tex]y = -25.31x + 1000[/tex]The estimate is that the number of cases would reach 543 in the year of 2026.---------------------
The line of best-fit is given by:
[tex]y = bx + a[/tex]
The slope is:[tex]b = \frac{\sum (x - \overline{x})(y - \overline{y})}{\sum (x - \overline{x})^2}[/tex]
After the slope is found, using the means for x and y, the coefficient a is found.---------------------
The means are given by:
[tex]\overline{x} = \frac{0 + 1 + 2 + 3 + 4 + 5}{6} = 2.5[/tex]
[tex]\overline{y} = \frac{1015 + 960 + 950 + 902 + 929 + 866}{6} = 937[/tex]
---------------------
The sums are:
[tex]\sum (x - \overline{x}) = (0 - 2.5) + (1 - 2.5) + ... + (5 - 2.5)[/tex]
[tex]\sum (y - \overline{y}) = (1015 - 937) + ... + (866 - 937)[/tex]
Using a calculator:
[tex]\sum (x - \overline{x})(y - \overline{y}) = -443[/tex]
[tex]\sum (x - \overline{x})^2 = 17.5[/tex]
Thus, the slope is:
[tex]b = -\frac{443}{17.5} = -25.31[/tex]
And
[tex]y = -25.31x + a[/tex]
---------------------
Using the means to find a:
[tex]y = -25.31x + a[/tex]
[tex]937 = -25.31(2.5) + a[/tex]
[tex]a = 1000[/tex]
Thus, the linear regression model is:
[tex]y = -25.31x + 1000[/tex]
---------------------
The number of cases would reach 543 in x years after 2008, and x is found when y = 543. Thus:
[tex]y = -25.31x + 1000[/tex]
[tex]543 = -25.31x + 1000[/tex]
[tex]25.31x = 1000 - 543[/tex]
[tex]x = \frac{1000 - 543}{25.31}[/tex]
[tex]x = 18.1[/tex]
2008 + 18 = 2026
The estimate is that the number of cases would reach 543 in the year of 2026.
A similar problem is given at https://brainly.com/question/21826199
The probability of an event is 1. What do you know about the event?
The probability of another event is 0.
What do you know about this event?
Answer: A probability of 1 means the event is certain to happen. A probably of zero means the event is certain not to happen.
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorry needed points
A rectangular prism has a volume of 5x2 + 45x-180.
Its base has a length of x-3 and a width of 5.
Which expression represents the height of the prism?
1) x-3
2) x² + 9x-36
3) X-9
4) x+12
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
34/50 = 68%
14/20 = 70%
answer: the German test
can i get brainliest?
Answer:34/50 = 68%
14/20 = 70%
Step-by-step explanation:mark me as brainest and vote for me plssss
This is probably very easy but I totally forgot (look at picture)
Answer:
I hope ive done this correctly
Fixed, i see where i went wrong, i done it backwards
Step-by-step explanation:
If a line segment AB is on the number line, and the point A is at - 4 and point B is at 7, the length of AB is ____. Select one: a. - 3 b. 11 c. 3 d. 10
The length of the segment AB is 11
How to determine the length of the segment?The given parameters are:
A = -4
B = 7
The length of the segment is calculated as:
AB = |A - B|
Substitute known values
AB = |-4 - 7|
Evaluate the difference
AB = |-11|
Take the absolute difference of 11
AB = 11
Hence, the length of the segment AB is 11
Read more about line segment at:
https://brainly.com/question/2437195
#SPJ9
Carole's age is five times Joe's age. The sum of their ages is 18. How old are Carole and Joe? (Solve using systems of linear equation)
c = 5j
c + j = 18
5j + j = 18
6j = 18
j = 3
c = 5(3) = 15
Answer: Carole is 15, Joe is 3
Answer:
Joe is 3 and Carole's age is 15
Step-by-step explanation:
Joe: x
Carole: 5x
5x+x=18
6x=18
x=3
What is the Y-INTERCEPT from the equation? y=5x + 12*
A) 5
B) 12
Answer:
B-12
Step-by-step explanation:
Answer:
B) 12
Step-by-step explanation:
Set x equal to zero and you get y= 12
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answer:
The inverse function h(x) = 4x + 48
Step-by-step explanation:
Here, we want to find the inverse of a function
The function is;
f(x) = x/4 -12
now, let this value equals m
so;
m = x/4 -12
we now try and make x the subject formula and this gives us the inverse.
m = (x-48)/4
4m = x -48
x = 4m + 48
substitute m for x
which implies 4x + 48
This is the inverse of the function
Answer:
D. h(x) = 4x + 48
A pilot is flying from Thunder Bay, Ontario to Dryden, Ontario a distance of approximately 320 km. As the plane leaves Thunder Bay, it flys 20° off course for exactly 80 km. After flying off-course how far is the plane from Dryden?
Answer: The plane is 246.4 kilometres from Dryden (approximately)
Step-by-step explanation: Please refer to the picture attached for further details.
The pilot was meant to fly from Thunder Bay which is marked as point T to Dryden which is marked as point D. The distance is given as approximately 320 kilometres as shown.
However upon departure, the pilot goes off course at an angle of 20 degrees and flies for 80 kilometres. When he has traveled for exactly 80 kilometres, he would find himself at point P as shown in the diagram. The plane which is now at point P, is t kilometres from Dryden (point D). To calculate the distance t, we shall apply the cosine formula, having been given two sides and an angle between.
The cosine rule states as follows;
c² = a² + b² - 2abCosC
Substituting for the given variables in this question, the formula can be expressed as follows;
t² = d² + p² - 2dpCosT
Substituting for the known values, we now have,
t² = 80² + 320² - 2(80*320)Cos20
t² = 6400 + 102400 - 2(25600)0.9396
t² = 108800 - (51200) * 0.9396
t² = 108800 - 48107.52
t² = 60692.48
Add the square root sign to both sides of the equation
√t² = √60692.48
t = 246.3584
t ≈ 246.4
Therefore, the plane is approximately 246.4 kilometres from Dryden.
Find the values of x and y.
Answer:
[tex] \boxed{x = 15,y = 17} [/tex]
Step-by-step explanation:
[tex]Vertically \: opposite \: angles \: area \: equal \\ \\ So, \\ \\ = > 7x \degree + 7\degree = 112\degree \\ \\ = > 7x\degree = 112\degree - 7\degree \\ \\ = > 7x\degree = 105\degree \\ \\ = > x\degree = \frac{105}{7} \degree \\ \\ = > x\degree = 15\degree \\ \\ \\ \\ Supplementary \: angles \: add \: up \: to \: 180 \degree \\ \\ So, \\ \\ = >4y\degree + 112\degree = 180\degree \\ \\ = > 4y\degree = 180\degree - 112\degree \\ \\ = > 4y\degree = 68\degree \\ \\ = > y \degree= \frac{68}{4} \degree \\ \\ = > y\degree = 17\degree[/tex]
Find the values of x and y.
Step-by-step explanation:
C : x = 17,y = 15
Como medir la altura de un arbol usando el teorema de thales
Answer:
????
Step-by-step explanation:
Find S20 of the series whose first terms are:
30, 22, 14, 6, ...
Answer:
- 920
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
d = 22- 30 = 14 - 22 = 6 - 14 = - 8
This indicates the sequence is arithmetic with sum to n terms given by
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 30 and d = - 8 , thus
[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × 30) + (19 × - 8) ]
= 10(60 - 152)
= 10 × - 92
= - 920
On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to –2 all real numbers greater than or equal to –5 all real numbers greater than or equal to 0
Answer:
Domain of the given function is all real numbers i.e. R.
Step-by-step explanation:
It is given that the given graph is a V shaped graph.
It is crossing x - axis at [tex](-2,0)[/tex]
then y-axis at [tex](0,-2)[/tex] and
then again x - axis at [tex](2,0)[/tex].
If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at [tex](-2,0)[/tex], then intersects y axis at [tex](0,-2)[/tex] and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at [tex](2,0)[/tex].
Please find attached graph for the same.
This graph denotes the following function:
[tex]y=f(x)=|x|-2[/tex]
Domain of a function [tex]y =f(x)[/tex] is the values of [tex]x[/tex] that can be provided to the function.
Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.
Modulus function has R as its domain.
So, the answer is:
Domain of given function is all Real Numbers, R
Answer:
A on edg. all real numbers
Step-by-step explanation:
Two particles, A and B, are initially 37.5 m apart. A is projected in a straight line directly towards B with initial speed 2 ms^–1 and accelerates uniformly at 0.6 ms^–2. At the instant when A is released, B is projected in a straight line directly towards A with an initial speed of 3 ms^–1 and it accelerates uniformly at 0.4 ms^–2. The particles collide at point C. Find the distance from A's starting point to C. (Please explain how you get the answer, I don't understand how to get to it!!!! Thanks!)
Answer: 6.66 metres
Step-by-step explanation:
Given that the two particles, A and B, are initially 37.5 m apart.
Acceleration a = velocity/time
Make time t the subject of the formula.
Time t = velocity/acceleration
Time taken by particle A will be
Time t = 2/0.6 = 3.33 seconds
Let's use 2nd equation of motion
S = Ut + 1/2at^2
Distance covered by particle A will be achieved By substitute the values for speed and acceleration into the formula
S = 2 × 3.33 + 1/2 × 0.6 × 3.33^2
S = 6.66 + 0.3 × 11.1
S = 9.99 m
Time taken by particle B will be
Time t = 3/0.4 = 7.5 seconds
Distance covered by particle B will be by using the same formula
S = 3 × 7.5 + 1/2 × 0.4 × 7.5^2
S = 22.5 + 0.2 × 56.25
S = 33.75 metres
Adding the distance covered by particle A
Distance = speed × time
Distance = 2 × 3.33 = 6.66
the distance from A's starting point to C. Is 6.66 metres
The total time that Ken and Bob worked in a week was 63 hours. Ken worked 36 hours. What is the ratio of Bob's working hours to Ken and Bob's total working hours?
Answer:
33
Step-by-step explanation:
beacause you have to minus to find th aspect ratio I beleive.
I will mark you brainliest!!! Select the answer that includes the correct explanation.
Answer:
Linear. The choice A is correct.
Step-by-step explanation:
1. Find the volume of the cylinder
height: 8m
radius: 3 m
with the explanation if possible <3
Answer:
226.19
Step-by-step explanation:
V=π•r^2•h
V=π•3^2•8
v=72π
V=226.19
Find the surface area of the composite solid. PLZ HELP
Step-by-step explanation:
Ok, so the surface area is found by adding up all the areas of each individual shape of the entire solid.
I attached a picture of some of the missing values. That should help a little with visualizing.
Since the three rectangles are all the same values, you can substitute adding them by just multiplying lw (their individual areas) by 3.
The three triangles at the top are all the same as well, so you can multiply their areas ([tex]\frac{1}{2} bh[/tex] ) by 3, too.
Then there's the triangle at the bottom that is by itself, that will just have a 1 in front of it.
Now you can make your surface area equation:
[tex]SA=3lw+3(\frac{1}{2} b_1h_1)+\frac{1}{2} b_2h_2[/tex]
The b1h1 are the three triangles at the top and the b2h2 is the triangle at the bottom.
[tex]SA=3(10)(16)+3(\frac{1}{2})( 10)(6)+\frac{1}{2} (10)(8.7)\\SA=480+90+43.5\\SA=613.5[/tex]
If there's anything you need me to explain further, feel free to comment :)
Answer:
[tex]SA=613.5m^2[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.
Surface area of the triangular prism:
10 × 8.7 × 1/2 + 16 × 10 × 3
⇒ 523.5
Surface area of the triangular pyramid:
6 × 10 × 1/2 × 3
⇒ 90
Adding the surface areas:
523.5 + 90
⇒ 613.5
[tex]\rule[225]{225}{2}[/tex]
The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction?
Answer:
£14,168
Step-by-step explanation:
Please help!!!
a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?
Answer:
1 : 80
Step-by-step explanation:
So you want to check Length of model : Length of real boat
50 cm : 40 m
But since the units don't match, make 40 m into 4000 cm
50 cm : 4000 cm
Divide both sides by 50 and you get
1 : 80
please can you guy help for this questiong
Answer:
Reason 1. Given
Statement 2. <CAD is congruent to <BAD
Reason 2. Definition of angle bisector
Statement 3. Segment AD is congruent to segment AD
Reason 4. All right angles are congruent
Reason 5. ASA
The expression (3x2 + 2xy + 7) − (6x2 − 4xy + 3) is Equivalent to −3x2 − 2xy + 4 3x2 − 2xy + 4 −3x2 + 6xy + 4 3x2 − 6xy − 4
Answer:
[tex]-3x^2+6xy+4[/tex]
Step-by-step explanation:
[tex](3x^2+2xy+7)-(6x^2-4xy+3)=\\\\3x^2-6x^2+2xy+4xy+7-3=\\\\-3x^2+6xy+4[/tex]
Hope this helps!
Answer:
3x2-6xy
Step-by-step explanation:
I think i dont know
If m<2 BOE = 130° and m< COB = 80º,
find the measure of the indicated arc
in circle 0.
mCBE =
Answer:
The answer is 210°.
Step-by-step explanation:
Given that ∠BOE = 130° and ∠COB is 80°. So in order to find ∠CBE, you have to add up together :
∠CBE = ∠BOE + ∠COB
∠CBE = 130° + 80°
∠CBE = 210°
(Correct me if I am wrong)
please see the attached picture...
Hope it helps...
Good luck on your assignment...
Angle measure and segment lengths: Find "Y" and do not round your answer. Please answer in under five minutes, thanks!
Answer:
y = 11.2 in.
Step-by-step explanation:
To solve this question we will use the theorem of intersecting secants and tangents.
"If a secant and a tangent are drawn to a circle from an external point then length of tangent is the geometric mean between the length of external segment of the secant and the length of the secant."
By this theorem,
5(5 + y) = (9)²
y + 5 = [tex]\frac{81}{5}[/tex]
y = 16.2 - 5
y = 11.2 in
Therefore, y = 11.2 in. will be the answer.
Answer:
11.2
Step-by-step explanation:
i got it right online
This table gives a few (2, y) pairs of a line in the coordinate plane.
y
-21
-64
- 15
-48
-9
-32
What is the x-intercept of the line?
Answer:
(3,0)
Step-by-step explanation:
why is x^2-8x+20 always positive?
Answer:
cause it is
Step-by-step explanation:
it just is, sorry i can't help. maybe bc there are more positive functions then negative ones?
Find the measurement which is most accurate to 45.76 kg.
A. 45.77 kg
B. 45.78 kg
C. 45.79 kg
D. 45.81 kg
Answer:
A. 45.77 kg
Step-by-step explanation:
The measurement with the smallest difference from 45.76 is 45.77 kg.
Angle BCD is a circumscribed angle of circle A. Angle BCA measures 40°. What is the measure of minor arc BD?
Answer:
100°
Step-by-step explanation:
From the image attached, line BC and line CD are tangents to circle A. Also, AB and AD are the radius of the circle. The tangent theorem states that the angle between a tangent and the radius is 90°. Therefore:
∠ABC and ∠ADC = 90°.
Given triangle ABC:
∠ABC + ∠BCA + ∠CAB = 180°
∠CAB = 180 - ∠ABC - ∠BCA = 180 - 90 - 40 = 50
∠CAB = 50°
From the two tangent theorem, tangents that meet at the same point have the same length. This means BC = CD, ∠ACD = ∠BCA, ∠CAB = ∠CAD.
arc BD = ∠CAB + ∠CAD = 50 + 50
arc BD = 100°
Answer:
D.
Step-by-step explanation:
A classroom has a total of 26 students, 13 Students in the classroom are females and the rest are males. 5 males students have long hair and 9 female students wear glasses. A Student is called to the principal's office. What is the probability that the student being called is female and does not wear glasses. Explain your answer...
Answer:
15%
Step-by-step explanation:
There is 26 students 13 are females of those 13 nine of them wear glasses if you subtract 13 minus 9 you are left with 4 and if you divide that 4 by 26 you get the percentage of girls without glasses which is 15%
