Answer:
-4 < x ≤ -1
x ∈ (-4,-1]
Step-by-step explanation:
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
for such more question on mean
https://brainly.com/question/14532771
#SPJ8
Factorial – is the product of natural numbers, for example:
5! = (5)(4)(3)(2)(1) = 120
Simplify the following expression:
1) 11! 2) 15! 3) 20!
8!(7-3)! 10!(9-5)! 13!
Answer:
Step-by-step explanation:
11! = 11*10*9*8*7*6*5*4*3*2*1 = 3991600
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1=1.307674368 * \(10^{12}\)
also looks like this 1,307,674,368,000
20! = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2 = 2.432902008 * \(10^{18}\)
also looks like this 2,432,902,008,000,000,000
8!(7-3)! = 8!4! = (8*7*6*5*4*3*2)(4*3*2) = 967,680
10!(9-5)!13! = 10!4!13! =3,628,800*24*6,227,020,800 = 5.423187139*\(10^{17}\)
The difference between two positive numbers is 40 and the ratio of these integers is 1:3.Find the integers.
Answer:
A:B= 1:3
let A=1x,B=3x
A+B = x+3x
x+3x = 40
4x = 40
x=10
A=1(10)=10
B=3(10)=30
Step-by-step explanation:
Dont really know how to explain it well
Mean of data set
10, 134, 7, 8
Answer:
39.75
Step-by-step explanation:
[] To find mean, we add all the numbers together and divide by the number of numbers
\(\frac{10+134+ 7+ 8}{4} =39.75\)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
James loves to run. This month he plans to run 25 times. If he runs 13 miles
each time he runs, how many total miles will James run? Write an equation and
then solve the problem,
Answer:
325
Step-by-step explanation:
All you have to do is 25 x 13
25 x 13 = 325
So he will run a total of 325 miles
Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°Devon’s bike has wheels that are 26 inches in diameter. After the front wheel picks up
a tack, Devon rolls another 100 feet (1200 inches) and stops. How far above the ground in inches is the tack?
To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.
First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:
C = π × 26
C ≈ 81.64 inches
This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.
Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:
1200 / 81.64 ≈ 14.68 revolutions
Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.
Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.
Therefore, the tack is located 13 inches above the ground.
For more such questions on distance
https://brainly.com/question/26550516
#SPJ8
Eric had 8 gallons of milk. He used 2 gallons of milk for cooking and gave remaining to 7
students.
If there are 21 students, how many gallons of milk is needed?
Answer:18
Step-by-step explanation:
first : 8-2 =6 gallons
he gave 6 to 7 students
then he needs : 18 gallons for 21 students
What are the slope and y-intercept of the linear function graphed to the left?
slope: –2; y-intercept: 2
slope: ; y-intercept: 1
slope: ; y-intercept: 2
slope: 2; y-intercept: 1
Answer:the second one
Step-by-step explanation:
Answer: 2 answer
Step-by-step explanation:edge 2021
Yesterday Ali had n Baseball cards. Today he gave away 6. Using n, Write an expression for the number of cards Ali has left
Yesterday Ali had n Baseball cards.
Today he gave away 6 cards.
We are asked to write an expression for the number of cards Ali has left.
Ali had a total of n cards and he gave away 6 from them.
So, we have to simply subtract 6 cards from the total n cards.
\(n-6\)Therefore, the expression is n - 6 represents the number of cards Ali has left.
Graph a line with a slope of 4 that contains the point (3, 0)
\(\text{view explanation pls}\)
Calculation ↓The first step is to write the line's equation in point-slope form
y-y1=m(x-x1)
y-0=4(x-3)
use the distributive property
y-0=4x-12
y=4x-12
Now that we have the equation of the line, we need to determine it's graph. how do we actually graph the line?Well, let's start with the y-intercept, which is -12 or (0, -12)
After plotting the point (0, -12) move up 4, over 1, up 4, over 1, up 4, over 1.
Do the same on both sides of the y-intercept.
hope helpful ~
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($) 2
4
6
8
10
Probability 0.45 0.3 0.1 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
PLEASE HELP !!!
============================================================
Explanation:
Refer to the table below (attached image). I've copied your table and added a third row at the bottom. This new row is the result of multiplying each payout value with the corresponding probability.
Example: for the first entry of this row, have 2*0.45 = 0.9
Once that third row is filled out, you add up everything in that row. That will lead to the expected value.
The expected value is: 0.9+1.2+0.6+0.8+0.5 = 4
Interpretation: You expect, on average, to win $4 each time you play the game. This assumes that the cost to play the game is 0 dollars. If the cost is something else, then it will affect the expected value.
Because the expected value is not 0, this game is not mathematically fair (the bias is leaning in favor of the player).
Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.
a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .
Answer:
A) M'(w) = w^16 * 4^w [ 51 + 3w In4 ]
B) h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3
C) f'(1) = e' [sin(1) + cos(1) ]
D) g'(a) = 0 - 1/2
L(x) = - 1/2 ( x + 1 )
Step-by-step explanation:
Attached below is the detailed solution of the problem
A) m(w) = 3w^17 * 4^w
M'(w) = w^16 * 4^w [ 51 + 3w In4 ]
B) h(t) = [sin(t) + cos(t) ] t^4
h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3
C) f(x) = e^x sin (x). at a = -1
f'(1) = e' [sin(1) + cos(1) ]
D) g (x) = ( x^2 + x ) 2^x .
g'(a) = 0 - 1/2
L(x) = - 1/2 ( x + 1 )
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answer:
Yes blue liquid is toxic
Step-by-step explanation:
H0: p1 = p2
H1: p1>p2
For blue
We calculate proportion as
37/40 = 0.925
For white
9/40 = 0.2250
To get p
(X1 + x2)/(n1 + n2)
= 0.5750
After calculating the z as statistic (please check attachment) I got 6.33
P value = 0.0000
We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!
Thank you!
- Suppose y varies directly as x. If y = -7 when x = -14, find y when x=3
Answer:1.5
Step-by-step explanation:
Y=1/2 of x
in the first quarter of the game the Giants gained 5 yards lost 13 yards gained 2 yards gained 6 yards and unfortunately lost 12 yards in their final play
Answer:
They lost a total of -12 yards.
Step-by-step explanation:
Do the calculation.
5- 13= -8
-8 + 2 + 6= 0
0 - 12 = -12
Pls help me with this im struggling
RQT = 159
RQS = 69
==============================================
Explanation:
Draw a segment connecting R and S.
Triangle SRQ is a right triangle due to Thale's Theorem. That theorem is a special case of the inscribed angle theorem. The 90 degree angle R is opposite the diameter SQ.
Minor arc QR = 42 degrees. Half of this is 42/2 = 21, which is the measure of inscribed angle RSQ. This inscribed angle subtends minor arc QR.
Focus on triangle SRQ. We have two known angles (R = 90 and S = 21). Let's use them to find the missing angle.
The inside angles of any triangle always add to 180 degrees.
S+R+Q = 180
21+90+Q = 180
111+Q = 180
Q = 180-111
Q = 69
Angle RQS is 69 degrees.
----------------
We'll add angle SQT onto the previous result to get angle RQT.
angle RQT = (angle RQS) + (angle RQT)
angle RQT = (69) + (90)
angle RQT = 159 degrees
Adam and Rahmad share some beads. If Adam gave 1/3 of his share to Rahmad, Rahmad would have 70 more than Adam. If Adam gave 1/5 of his share to Rahmad, Rahmad would have 10 more than Adam. How many beads did Adam have at first?
Solving the system of equations obtained by the substitution method, we can conclude that Adam had 225 beads at first.
How to solve a system of equations by substitution method?A system of equations is a finite set of equations containing two or more variables for which we seek a general solution.For example, consider a system of two equations in two variables \(x\), \(y\):\(a_1x+b_1y=c_1\\a_2x+b_2y=c_2\)To solve this system, we can use the substitution method which is one of the widely used methods for solving a system of linear equations. In this method, we solve the first equation for \(x\) (or \(y\)) in terms of \(y\) (or \(x\)) and then substitute that expression for \(x\) (or \(y\)) in the second equation. Then we obtain an equation that contains only one variable \(y\) (or \(x\)) and can easily solve it.Let us suppose Adam had \(x\) beads and Rahmad had \(y\) beads.
By the problem, if Adam gave \(\frac{1}{3}\) of his share to Rahmad, then Rahmad would have \(70\) more than Adam. This can be expressed by the following equation:
\(y+\frac{x}{3}-(x-\frac{x}{3})=70\\\Longrightarrow y-\frac{x}{3}=70\) (1)
Again, if Adam gave \(\frac{1}{5}\) of his share to Rahmad, then Rahmad would have \(10\) more than Adam. This can be expressed by the following equation:
\(y+\frac{x}{5}-(x-\frac{x}{5})=10\\\Longrightarrow y-\frac{3x}{5}=10\) (2)
From equation (1), we get: \(y=\frac{x}{3}+70\).
Now, substituting this value of \(y=\frac{x}{3}+70\) in the equation (2), we obtain:
\(\frac{x}{3}+70-\frac{3x}{5}=10\\\Longrightarrow \frac{4x}{15}=60\\\Longrightarrow x=\frac{60\times 15}{4}\\\therefore x=225\)
Then \(y=\frac{225}{3}+70=145\).
Thus, at first, Adam had 225 beads.
Therefore, by solving the system of equations by substitution method, we can conclude that Adam had 225 beads at first.
To know more about the substitution method, refer: https://brainly.com/question/22340165
#SPJ9
Given f(x) = -(x - 5)^2 + 1, what is the value of a?
My little cuz need help can you help her please
Its Eight grade math
Solve the equation by using substitution
4x-2y=18
y=5x
the is going to be x=3 43- 35 =18
may be that the way it should be
mart math math math math
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
Find m/CAD.
A. 55°
B. 125°
C. 110°
D. 35°
A
B
55°
D
C
Pam is a wedding planner She is setting up a room to seat at least 100 guests. She has some tables that seat 10 people and some tables that seat 5 people. She only has 10 of the tables that seat 5.
1. Let x = the number of 10-person tables, and y = the number of 5-person tables. Write an inequality to describe the number of tables Pam could set up for the wedding.
2. Write a second inequality based on the fact that there are only 10 tables that seat 5.
Answer:
1. 10x + 5y ≥ 100
2. y ≤ 10
Solving Advanced Linear Equations: Mastery Test
Select the correct answer from each drop-down menu.
Consider the equation below.
The equation was solved using the following steps.
Step 1:
Step 2:
Step 3:
Step 4:
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Complete the statements below with the process used to achieve steps 1-4.
-2 to 5x and 8.
6.x
✓16.
-2(5z + 8) = 14 + 6z
-16.
-10z <- 16
-16z
Reset
-
16 = 14
-16z =
30
= 14 + 6z
H
=
H =
Next
30656
-18
Submit T
The solution to the equation where the equation is given as -2(5z + 8) = 14 + 6z is z = -15/8
How to complete the steps to solve the equation?The equation is given as
-2(5z + 8) = 14 + 6z
Open the bracket
So, we have
-10z - 16 = 14 + 6z
Collect the like terms
So, we have
-10z - 6z = 14 + 16
Evaluate the like terms
So, we have
-16z = 30
Divide both sides of the equation by 16
So, we have
z = -15/8
Hence, the solution to the equation where the equation is given as -2(5z + 8) = 14 + 6z is z = -15/8
Read more about equations at
https://brainly.com/question/2972832
#SPJ1
please help me on this im confused please ty
The domain of the graph of the exponential function is (d) all real numbers
Calculating the domain of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph of the exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
From the graph, the constant term is 0
So, the range is y > 0
Read more about domain at
brainly.com/question/27910766
#SPJ1
The length of a rectangle is four more than triple the width. If the perimeter is 144 inches, find the dimensions.
The length of a rectangle is 55 inches and the width of the rectangle is 17 inches
Given that The length of a rectangle is four more than triple the width. If the perimeter is 144 inches and asked to find the dimensions of the rectangle
Length of a rectangle = 4 + triple the width
Let's assume the length of a rectangle is "l" and the width is "b"
l= 4 + 3b
perimeter of rectangle =2 ( l +b )
perimeter of rectangle = 2 ( 4 +3b +b)
perimeter of rectangle = 2 ( 4 + 4b )
Given that perimeter of rectangle = 144 inches
144 inches = 2 ( 4 + 4b )
72 inches = 4 + 4b
b= 17 inches
l= 4 + 3b
l=4+51
l=55 inches
Therefore the dimensions of rectangle are 55 inches and 17 inches
Hence,The length of a rectangle is 55 inches and the width of the rectangle is 17 inches.
Learn more about rectangle here:
https://brainly.com/question/15019502
#SPJ9
Marshawn has batting average of 0.727272... write his batting average as fraction in simplest form
Marshawn batting average as fraction in simplest form is 90909/125000.
Given a number into decimal form i.e., 0.727272...
Marshawn has batting average of 0.727272....
And, Write his batting average as fraction in simplest form.
Based on the given conditions,
Formulate:
0.727272..
Simplify in simplest form:
0.727272/1
= 7.27272/10
=72.7272/100
= 727.272/1000
= 7272.72/10000
=72727.2/100000
=727272/1000000
It is divided by 2, we get
= 363636/ 500,000
= 181,818/ 250,000
= 90909/125000
Hence, Marshawn batting average as fraction in simplest form is 90909/125000.
Learn more about Simplest form at:
https://brainly.com/question/1152634
#SPJ1
Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x +2 >7.
-2
3
6
8
Answer:
-2, 3
Step-by-step explanation:
We are given the following inequality:
\(x + 2 > 7\)
Solving it, we have that its solution is:
\(x > 7 - 2\)
\(x > 5\)
So values of x of 5 and lower are counterexamples to this, which means that -2 and 3 are correct options to this question.
5. Counting problems, leave answers as expressions, e.g., 10 npr 4, 8 nCr 3 or 35 [5 pts each part]
a) A club elects a steering committee of 5. Among these 5, a chair and secretary are chosen. How many different sets of committees (including officer selection) are possible if club has 15 members? Officers are not the same as the non-officer members, so this is hybrid permutation/combination problem.
b) At an event that drew 100 people where each attendee gets one raffle ticket, there are 6 raffle prizes worth $200, $100, $50, $25, $25, $25. How many different raffle ticket winner selections are possible? Be careful, the $25 prizes are equivalent, so this is hybrid permutation and combination problem.
c)If repeats are allowed but a code cannot begin with 0, how many six-digit PIN codes can be made?
Answer:
Step-by-step explanation:
a) The steering committee of 5 can be chosen from 15 members in 15 nCr 5 ways. Once the committee is chosen, the chair can be selected in 5 ways and the secretary can be selected in 4 ways (since the chair cannot also be the secretary). Therefore, the total number of different sets of committees (including officer selection) is:
15 nCr 5 * 5 * 4 = 3,003,600
b) Each of the 6 raffle prizes can be awarded to any of the 100 people, so there are 100 choices for the first prize, 99 choices for the second prize, and so on, down to 95 choices for the sixth prize. However, since the three $25 prizes are equivalent, we need to divide by 3! to account for the ways in which the $25 prizes can be arranged. Therefore, the total number of different raffle ticket winner selections is:
(100 * 99 * 98 * 97 * 96 * 95) / (3!) = 903,450,240,000
c) Since repeats are allowed and the code cannot begin with 0, there are 9 choices for the first digit and 10 choices for each of the remaining digits. Therefore, the total number of six-digit PIN codes that can be made is:
9 * 10^5 = 9,000,000
7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation: