Answer:
1). Mean = 2.275
2). Median = 2 vehicles
Step-by-step explanation:
From the given table,
Number of vehicles (x) Frequency (f) (f)×(x) Cumulative freq.
0 11 0 11
1 52 52 63
2 66 132 129
3 35 105 164
4 19 76 183
5 12 60 195
6 5 30 200
[tex]\sum (f\times x) = 455[/tex]
Number of households = 200
Mean = [tex]\sum \frac{f.x}{n}[/tex]
= [tex]\frac{455}{200}[/tex]
= 2.275
Median = value of [tex]\frac{(n+1)}{2}th[/tex] observation
= value of [tex]\frac{201}{2}th[/tex] observation
= Value of 100.5th observation
= Since 100.5th observation lies in the row of cumulative freq. = 129
= 2
Therefore, median number of registered vehicles per California household
= 2 vehicles
I don't get this...
Answer: The answer is D. 17.9
Step-by-step explanation: Use the equation [tex]c = \sqrt{a^2 +b^2}[/tex] where c represents the triangles hypotenuse and a and b represent the legs of the triangle.
I hope this helps have a great day!
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So first you should remember that....
[tex]a^{2} +b^{2} =c^{2}[/tex]
then you should plug in...
[tex]8^{2}+16^{2}[/tex]
that should equal...
[tex]c^{2}=320[/tex]
Then you should solve the equation now by doing the inverse of the square which is the square root of both sides...
[tex]\sqrt{c^{2} } =\sqrt{320}[/tex]
[tex]c=17.88854382...[/tex]
Then you have to round it to the nearest tenths, which'll give you...
[tex]17.9[/tex]
choice D
Study the equations: f(x) = 6x + 7 g(x) = 4x – 2 What is h(x) = f(x)g(x)? h(x) = 24x2 – 14 h(x) = 24x2 + 40x + 14 h(x) = 24x2 + 16x – 14 h(x) = 24x2 + 12x – 14
Answer:
The value of h(x) = f(x)g(x) is 24x² + 16x – 14.
Step-by-step explanation:
Answer:
C. h(x) = 24x2 + 16x – 14
Step-by-step explanation:
Just answered it on Edge Unit Test. It is correct.
Combine the like terms to create an equivalent expression:
-3z-z
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
see below
Step-by-step explanation:
shape LNMP is :
translated as 0,-7 flip of mirrored along y-axis reflected imaged is ABCD as givenJody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)
Answer:
Jody needs to lose the third round by 6 points to win the game.
Step-by-step explanation:
The rule of the game is the person who scores closest to zero points after three rounds win.
Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.
So, total points for Robyn = 5-8+4=1
So, the magnitude of the closeness of Robyn's score from zero
=|1-0|=1
Jody scored 10 points in the first round and lost 4 points in the second round.
Let Jody score x point in the third round.
Total points for Jody= 10-4+x=6+x
So, the magnitude of the closeness of Jody's score from zero
=|6+x-0|=|6+x|
The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e
|6+x|<1
Case 1: If [tex]x\geq -6[/tex],
6+x<1
[tex]\Rightarrow x<-5[/tex], which is not possible for this case.
Case 2: If [tex]x\leq -6[/tex],
-(6+x)<1
[tex]\Rightarrow x+6>1[/tex]
[tex]\Rightarrow x>-5[/tex]
For this case [tex]x= -6[/tex] is the only possibility.
So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.
Which of the following is equal to the expression listed below?
24 + 18
A.
6 + (4 × 3)
B.
6(4 + 3)
C.
(6 + 4)(6 + 3)
D.
(6 × 4)(6 × 3)
Answer:
B
Step-by-step explanation:
Its not (A) because the outcome is 24 x 18
Its not (C) because that would be (10)(9) which is the same as multiplication
Its not (D) because that would be (24)(18) which again is multiplication
We are looking for addition of 24 and 18 which is B
6 x 4= 24
6 x 3=18
24+18
Hope this helps (:
can someone help me with this
2x+4y+3z=6
x-2y+z=-5
-x-3y-2z=-7
solve for x,y,z
Answer:
x = -7 2/3, y = 1 1/3 and z = 5 1/3.
Step-by-step explanation:
2x+4y+3z=6 ..... 1
x-2y+z=-5 ...... 2
-x-3y-2z=-7 .......3
Add equations 2 and 3 to eliminate x:
-5y - z = -12 .....4
Multiply equation 2 by - 2:
-2x + 4y - 2z = 10
Add this to equation 1:
8y + z = 16 ........ 5
Now add equation 4 to equation 5:
3y = 4
y = 4/3 = 1 1/3.
Now find z by substituting for y in equation 4:
-5(4/3) - z = -12
z = 12 - 20/3
z = 36/3 - 20/3 = 16/3 = 5 1/3.
Finally, we find x by substituting for y and z in equation 1:
2x + 4*4/3 + 3*16/3 = 6
2x = 6 - 16/3 - 16
2x = 18/3 - 16/3 - 48/3 = -46/3
x = 23/3 = 7 2/3.
A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp? a scalar less than –1 a scalar between –1 and 0 a scalar between 0 and 1 a scalar greater than 1
Answer:
a scalar between 0 and 1
Step-by-step explanation:
i just took the test on EdG. :)
To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
To answer the question, we need to know what scalars and vectors are
What are scalars?These are variables that have only magnitude.
What are vectors?These are variables that have both magnitude and direction.
Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.
So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.
So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
Learn more about vectors here:
https://brainly.com/question/25705666
#SPJ2
The weight W of an aluminum flatboat varies directly with the length L of the boat. If a 6-foot boat weighs 102 pounds, then what is the weight of a 11-foot boat? The weight of a 11-foot boat is nothing pounds
Answer:
The 11 foot boat ways 187 pounds
Step-by-step explanation:
102 / 6 = 17
17 * 11 = 187
Order the numbers from least to greatest. -6.6, 5.8, 6 3/4, 4.45 Explain your steps
Answer:-6.6, 4.45, 5.8, 6 3/4
Step-by-step explanation:
0.52 divided by 0.0013
Answer:
400
Step-by-step explanation:
how to get 20 dollars by using 25 cents?
please work it out on paper
Answer:
below if you cant read it, it takes 80 quarters
Step-by-step explanation:
A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second. For which of these rules does y represent the altitude of the hot air balloon, if x represents the number of seconds since the pilot started her landing?
Answer:
The answer is "150 seconds".
Step-by-step explanation:
[tex]\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\[/tex]
[tex]time= \frac{distance}{speed}\\\\[/tex]
[tex]=\frac{300}{2}\\\\=150 \ seconds[/tex]
can someone help me with this
1.What is the slope of the function shown on the graph?
A line is graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 10 to 10 in increments of 1. The line passes through (0, 7) and (4, 2).
A−56
B−54
C−65
D−45
2.A quarry runs a delivery service for crushed stone. The cost to deliver the crushed stone is a flat fee for the delivery and the cost of the crushed stone in terms of weight. The graph of the total cost, C, in dollars as a function of the weight, x, in pounds of the crushed stone is shown. What is the meaning of the y-intercept?
A line is graphed on a first quadrant coordinate plane. The horizontal x-axis is labeled Weight in pounds and goes from 0 to 6000 in increments of 200, and the vertical C of x-axis goes from 0 to 500 in increments of 20. The line passes approximately through (0, 120) and (400, 134).
A.The cost of the delivery is $120.
B.The cost of stone dust is $0.035 per pound.
C.The cost of the delivery is $70.
D.The cost of stone dust is $70 per ton.
3.What is the x-intercept of the function f(x) graphed on the coordinate plane?
A line is graphed on a four quadrant coordinate plane. The horizontal axis goes from negative 7 to 7 in increments of 1, and the vertical axis goes from negative 7 to 7 in increments of 1. From left to right, a straight line passes through (0, 1) and (2, 0).
A−2
B−1
C2
D1
Answer:
1) B - 5/4
2) A. The cost of delivery is $120
3) C 2
Step-by-step explanation:
1) The given parameters are;
The demarcations on the x-axis = -10 to 10
The demarcations on the y-axis = -10 to 10
The coordinates of two points on the graph are (0. 7), and (4, 2)
The slope, m, of a graph is given by the following equation;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;
[tex]Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}[/tex]
The slope, m = -5/4
Taking B. as = -5/4
2. The given information are;
The nature of the cost of delivery of crushed stone = Cost of delivery, A
The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A
Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;
C = m × x + A
At the y-intercept, x = 0, we have;
C[tex]_{(y-intercept)}[/tex] = m × 0 + A
C[tex]_{(y-intercept)}[/tex] = A = Cost of delivery
The points on the line are;
(0, 120) and (400, 134), therefore, the slope, m, is given as follows;
[tex]Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035[/tex]
We have;
(C - 134) = 0.035×(x - 400)
C = 0.035·x - 14 + 134 = 0.035·x + 120
C = 0.035·x + 120
At the y-intercept, x = 0, we have;
C[tex]_{(y-intercept)}[/tex] = 0.035 × 0 + 120
C[tex]_{(y-intercept)}[/tex] = 120 = Cost of delivery
Therefore, the cost at the y-intercept = The cost of delivery = $120
3. The coordinates of points on the graph are;
(0, 1) and (2, 0)
The slope, m = (0 - 1)/(2 - 0) = -1/2
The equation of the line in point slope form is given as follows;
(y - 0) = -1/2 × (x - 2)
y = -x/2 + 1
The x-intercept occurs at the point y = 0, which is presented as follows;
0 = -x/2 + 1
-x/2 = -1
x = -1 × (-2) = 2
x = 2
Therefore, the y-intercept occurs at x = 2.
The correct option is
C 2
need help with questions................
Answer:
not a function
Step-by-step explanation:
you can not have one-to-many
there is two 3 in the X column
if 3n-4=8 then what is the value of 5n-3
Ms. Pecho currently owes $637.50 simple interest
on a loan of $2500 at an annual interest rate of
17%. How long has she had the loan?
Answer:
Step-by-step explanation:1
1/2 years which is 1 year and 5 months.
Explanation:
The formula for simple interest is
You can either substitute the given values first and the solve for
T, or you can transpose the formula to have
T as the subject.
T=100xSIPR
T=100 x 637.50
T=100×637.502500×17
T=1.5
As time is always in years, this means it was for
112 years which is 1 year and 5
months
Write the product as a power.
10 X 10 X 10 =
Answer:
10^3
Step-by-step explanation:
Answer:
10^3
Step-by-step explanation:
count how many 10s are there and that is the answer
(there are 3 tens so put the power as 3)
To check 10 X 10 X 10 is 1000
10^3 is 1000
Lisa went to the hardware store and bought 12 pieces rope. Each rope was 3/4 of a meter long. If the rope cost $3.50 a meter, how much did she spend?
Answer:
(B) 31.5
Step-by-step explanation:
Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting.
y = - 3x + 5
9x + 3y = 2
Answer:
parallel
Step-by-step explanation:
if you convert the second equation it will be y=-3x+2/3, meaning they have the same slope making them parallel
Consider the function rule: y = 9x – 7
What is the value of y when x=4?
What is the value
Can someone please help me please asap ?? I’ll mark brainlist !!!
Answer:
C
Step-by-step explanation:
I need helppppp rightttt nowwwwww
Answer:
ruler(×,y)=(20,20)
Step-by-step explanation:
sorry if its wrong
anyways are you using a mac?
are some integers irrational
helppp someone!!! i’ll mark brainliest!!!
Answer:
I think the answer is A. since the exponents inside the equation are negative, and the outside exponents are positive
Step-by-step explanation:
Think about the expression (x-8)(x+4)
a) For what values of x will this expression be
(b) Write this product as an equivalent trinomial. equal to zero? Show how you arrived at your answer.
Show that this trinomial is also equal to zero at the larger value of x from part (a).
This is not a multiple choice question. Please help if you know how to do it.
See attachment for math work and answer.
a) The expression will be zero when x = -4 or 8
b) The trinomial equivalent of the expression is x² - 4x - 32
c) The trinomial equals to zero when x = 8
The given expression is (x - 8)(x + 4)
a) For what value of x will the expression be equal to zero
(x - 8)(x + 4) = 0
This can be split into:
x - 8 = 0
That is, x = 8
x + 4 = 0
That is, x = -4
The expression (x - 8)(x + 4) equals to zero when x = -4 or x = 8
b) Write this product as an equivalent trinomial.
A trinomial is a polynomial expression with three terms
Expand (x - 8)(x + 4)
x² + 4x - 8x - 32
x² - 4x - 32
c) Show that this trinomial is also equal to zero at the larger value of x from part (a)
The larger value of x from part (a) is 8
Substitute x = 8 into x² - 4x - 32
8² - 4(8) - 32
= 64 - 32 - 32
= 0
Learn more here: https://brainly.com/question/18718165
Rhode Island has a population of about 60,000 8th graders in the state. New Jersey has a total of 920,000 8th graders. Calculate the difference in Rhode Island and New Jersey's state's population of 8th graders. Express your final answer in scientific notation.
Answer:
8.6 × 10^5
Step-by-step explanation:
New Jersey 8th graders = 920,000
Rhode island 8th graders = 60,000
Difference in Rhode island 8th graders and New Jersey 8th graders population
= 920,000 - 60,000
= 860,000
Answer in scientific notation
860,000
The decimal point will move 5 places in
= 8.6 × 10^5
why is it better to use the metric system rather than the English system in scientific measurement.
A. the English system uses one unit for each category of measurement
B.the metric system uses one unit for each category of measurement
C. the English system uses consistent fractions that are multiples of 10
D. the metric system utilizes a variety of number conversions
Answer:
B
Step-by-step explanation:
The metric system uses one unit for each category of measurement.
Please help me with the question! Please!!
Answer:
Slope is 3 and y-intercept is 2
Step-by-step explanation:
When you do slope formula, you get 3 and on the table it says (0, 2) which is the y-intercept