Answer:
A) Suppose we have an onedimensional situation.
in the 0 of our x-axis, we have a fruit tree, and we want to rest at a distance no bigger than 6 ft of the tree, then all the possible positions of our resting place are:
x ∈(-6ft, 6ft)
we can write this as: IxI < 6ft
b) now we think the opposite situation, we want to rest at least 6ft away from the tree, then we have that:
x ∉ [-6ft, 6ft].
or IxI > 6ft.
So you can see that the difference in those two cases is if we want to be "inside a given range" (for the first case) or "outside a given range" (for the second case).
Can someone help me??
Answer:
67.5 degrees
Step-by-step explanation:
The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.
Full circle = 360 degrees
360 degrees - 90 degrees = 270 degrees
Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.
So, we need to divide 270 by 4. We get 67.5 degrees.
Hope this helps!
treviglaslibrary
Answer:
67.5 degrees
Step-by-step explanation:
Hope that helps
A survey was done of 160 households to find out if they watch cable television, internet television, or
both. Of the 160 households, 109 watched cable television, 88 watched internet television, and 7
watched neither. If a household was selected randomly, what would be the probability that they
watched both cable and internet television?
1) 0.175
2) 0.275
3) 0.375
4) 0.475
Answer: 2) 0.275
Step-by-step explanation:
Total households = 160
Watch Cable TV: 109
Watch internet TV: 88
Watch neither: 7
We want to find the number that watch both of them.
Now, the total number of housholds that watch at least one thing is:
160 - 7 = 153.
Now, if we add the number that watch by cable and the number that watch by internet we have:
109 + 88 = 197
The difference is:
197 - 153 = 44
This means that we have 44 households that watch both things.
This is because we are counting those 44 in the 109 for cable and also in the 88 for internet (because they watch both) and this is why we have a surpass.
Then the number that watch both things is 44, then the probability that a random household watched both things is equal to:
P = 44/160 = 0.275
The correct option is 2
BRAINLIEST FOR THE FIRST ANSWER!!! its easy but im lazy tehe Evaluate the following expression for s = 6 and t = - 8. s(6 - t) + 7(s + 1)
Answer:
133
Step-by-step explanation:
We are given the expression:
s(6-t)+7(s+1)
We are also given s=6 and t= -8. Therefore, we can substitute 6 in for s and -8 in for t.
6(6--8) +7(6+1)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, solve inside the parentheses. Subtract 6 and -8.
6(14)+7(6+1)
Solve the other set of parentheses. Add 6 and 1.
6(14)+7(7)
Multiply 6 and 14.
84+7(7)
Multiply 7 and 7
84+49
Add 84and 49
133
Answer:
133
Step-by-step explanation:
s(6 - t) + 7(s + 1)
Plug in numbers:
6(6 - (-8)) + 7(6+ 1)
using Bedmas, solve:
Brackets first: 6(14) + 7(7)
Solve multiplication: 84 + 49
Add together: 133
please, someone, answer this asap; mean median mode and range:
1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *
22
12
26
2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *
19
19.5
20
3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *
24
38
26
4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *
12
24
38
5) the mode represents the number that appears the least *
True
False
6) To calculate the range we use the highest and lowest number ? *
True
False
7) Average is another word for *
mode
range
mean
median
8) the range indicates the middle number ? *
True
False
9) which statement best describes the mean. *
add all the numbers and divide by the total number of numbers
highest minus lowest
number that appears the most
10) A data set with two modes is known as *
no modes
bimodal
multimodal
Answer:
1) 22
2) 19.5
3) 26
4) 12
5) False
6) True
7) Mean
8) False
9) Add all the numbers and divide by the total number of numbers
10) Bimodal
Step-by-step explanation:
1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *
To calculate mean you add all the numbers up and divide by the total number of numbers.
[tex]\frac{24 + 31+12+38+12+15}{6} = 22[/tex]
2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *
For median, arrange the numbers from lowest to largest
12, 12, 15, 24, 31, 38
use (n+1) / 2 to figure out which value is the median
(6+1) / 2 = 3.5 (median is in between the 3rd and 4th value)
(15+24) / 2 = 19.5
3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *
Range is max value - min value
38 is max and 12 is min
38 - 12 = 26
4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *
Mode is the value that appears most frequently
In this case 12 appears 2 times, therefore it is the mode
5) the mode represents the number that appears the least *
False, mode is the number that appears the most
6) To calculate the range we use the highest and lowest number ? *
True
7) Average is another word for *
mean
8) the range indicates the middle number ? *
False, range is the max value - min value
9) which statement best describes the mean. *
add all the numbers and divide by the total number of numbers
10) A data set with two modes is known as *
bimodal
___________________________________
hey!!
Given data=24,31,12,38,12,15summation fX=132
N(total no.of items)=6
Now,
Mean=summation FX/N
=132/6
=22
2. Arranging the data in ascending order
= 12,12,15,24,31,38
N=6
Median=(N+1/2)th item
= (6+1/2) th item
=(7/2)th item
=3.5 th item
Again,
median=3 rd item + 4th item/2
=15+24/2
= 39/2
=19.5
3.Range= highest score- lowest score
=38- 12
=26
4. Mode= 12 because it has more frequency.
______________________________________
Answers:2219.5 26 12FalseTrueMeanFalseadd the numbers and divide by the total number of numbers bimodalHope it helps...Good luck on your assignment
________________________________
Draw line l and three points on l. How many segments are formed? Name all of them.
Answer:
In the picture attached, line l and the three points are shown. 3 segments are formed, namely, segments AB, BC and AC.
Step-by-step explanation:
A segment has two endpoints. With 3 points on the line, there are 3 segments, AB, BC and AC; each of them includes 2 points.
Write an absolute value expression to represent the distance between -1 and -6 on a number line. then evaluate the expression.
Answer:
5.
Step-by-step explanation:
That would be |-1 - (-6)|
= |-5|
= 5.
$320 is invested in an account earning 8.1% interest (APR), compounded quarterly. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent
Answer:
Step-by-step explanation:
Given that:
The investment amount in account = $ 320
The rate of interest is = 8.1% compounded quarterly
Compunded quarterly means 8.1% / 4 = 0.02025
The time period = t years
The objective is to write a function showing the value of the account after t years.
From compound interest , compounded monthly.
[tex]Amount = Principal * ( 1 + \dfrac{rate}{12*100})^{12*time}[/tex]
[tex]= $320 *(1 + \dfrac{0.02025}{12*100})^{12t}[/tex]
[tex]= 320*(1+ 1.6875*10^{-5})^{12t}[/tex]
[tex]= 320 * ( 1.000016875)^{12t}[/tex]
Thus; the function after t years [tex]= $320 * ( 1.000016875)^{12t}[/tex]
The percentage of growth per year is :
= (1 + 0.02025)^4 - 1
= 1.083493758 - 1
= 0.083493758
= 8.4 % (APY) yearly
Help with 11, 12, 13 pls. You get 10 points
Work out the length x
Answer:
12.1 cm
Step-by-step explanation:
We need to utilise Pythagoras theorem here. Pythagoras states that the 2 legs of the triangle square equal the hypotenuse squared so the formula for this is a² + b² = c²
In the question we are already presented with the hypotenuse so we will have to substitute in the values and rearrange
→ Form equation
7² + b² = 14²
→ Simplify
49 + b² = 196
→ Minus 49 from both to isolate b²
b² = 147
→ Square root both sides to isolate b
b = 12.12435565
The value of x to 1 decimal place is 12.1
One car leaves town traveling at 72 miles per hour (mph). An hour later, a second car leaves the same town, on the same road, traveling at 90 mph. In how many hours will the second car overtake the first?
Answer: i think its 1.25hrs
Step-by-step explanation: 90/75=1.25
Point C has coordinate of -4.
What is the distance of point c from zero?
A graph of average resting heart rates is shown below. The average resting heart rate for adults is 72 beats per
minute, but doctors consider resting rates from 60-100 beats per minute within normal range.
Average Resting Heart Rate by Age
120-
10.112)
100-
80
Heart Rate (beats/min)
(20,72)
(50,72)
40-
20
0 10 20 30 40 50 60
Age (years)
Which statement about average resting heart rates is not supported by the graph?
1) A 10-year-old has the same average 3) A 40-year-old may have the same
resting heart rate as a 20-year-old.
average resting heart rate for ten years.
2) A 20-year-old has the same average 4) The average resting heart rate for
resting heart rate as a 30-year-old.
teenagers steadily decreases
Answer:
Option (1)
Step-by-step explanation:
Characteristics of the graph attached,
1). Heart rates of the teenagers (0 to 20 years) varies from 112 beats per minute to 72 beats per minute.
2). Heart rates of the adults (20 years to 50 years) remains constant (72 beats per minute)
Option 1). Since average resting heart rate of the teenagers decreases from 0 to 10 years, so at the 20 years of age heart rate will be less than a teenager of 20 years.
Therefore, statement is not supported by the graph.
Option (2). A 20-year-old has the same average resting heart as at 30-year-old. [True]
Therefore, this option is supported by the graph.
Option (3). A 40-year-old may have the same average resting heart rate for 10 years.
[True]
Therefore, this statement is supported by the graph.
Option (4). The average resting heart rate for teenagers steadily decreases.
[True]. There is a linear decrease in the teenagers heart rate shown in the graph.
Therefore, the given statement is true and supported by the graph.
Option (1) will be the answer.
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera 8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to monitor every customer who enters and exits the store. At want angle of depression should Harry set the camera to capture the faces of all customers? Use a diagram and mathematical calculations to help you explain your answer.
Answer:
The angle of depression is found.
θ = 26.56°
Step-by-step explanation:
Let point A be the entrance of a Deli.
Let point C be the location of camera.
Let point B be the horizontal distance from entrance to the camera.
It forms a right angled triangle. where Base = 16 ft and Perpendicular = 8 ft.
Let θ be the angle of depression at point B which is always equal to the angle of elevation at point A.
Using tan θ
[tex]tan\theta= \frac{Perpendicular}{Base}\\tan\theta=\frac{8}{16}\\\theta=tan^{-1}\frac{8}{16}\\\theta=26.56^\circ[/tex]
The word problem below has too little information. Read carefully and then
choose the fact or facts needed to solve the problem.
Carl rode a horse about 15 feet from the center of the carousel. Allison rode
a horse about 10 feet from the center. How much further did Carl's horse
travel in one complete turn of the carousel?
A. Horses on the outside edge are the fastest.
B. Carl's horse travels 90 feet in one turn.
C. Horses near the center are the slowest.
D. Allison's horse travels 60 feet in one turn.
Answer:
5 feet.
Step-by-step explanation:
We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.
To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.
What is the maximum value of the function y = 5cos2x ?
(1) 5 (2) 2 (3) -5 (4) -2
Answer:
3. -5
Step-by-step explanation:
We now want to solve for x.
-4x + 11 = -1
-4x = BLANK?
X= BLANK?
can you help?
We have enough material to build a fence around a station
that has a perimeter of 180 feet. The width of the rectangular
space must be 30 feet. What must the length be?
1: Drag the correct number of strips to build the model.
P
1
-
-
-
-
1
W
Answer:
[tex]60ft[/tex]
Step-by-step explanation:
Use the formula for the perimeter of a rectangle.
[tex]P=2l+2w[/tex]
[tex]180=2l+2(30)[/tex]
[tex]180=2l+60[/tex]
[tex]180-60=2l[/tex]
[tex]120=2l[/tex]
[tex]\frac{2l}{2}=\frac{120}{2}[/tex]
[tex]l=60[/tex]
Select the correct answer.
Why would someone choose to invest rather than depend only on savings?
A.
An investment account provides regular income, while money held in a savings account may decrease.
B.
An investment account has the potential to earn more money than a savings account.
C.
An investment account has a fixed maturity date, but a savings account doesn’t.
D.
There’s less risk of losing money held in an investment account than in a savings account.
Answer:
B.
An investment account has the potential to earn more money than a savings account.
Answer:
B. An investment account has the potential to earn more money than a savings account.
Step-by-step explanation:
Neither saving nor investing is better than the other, choosing depends on your present financial position.
HELPPPPPPPPPPPPP
Solve for x: two fifths(x − 2) = 4x.
x = two ninths
x = −2
x = negative two ninths
x = negative nine halves
Answer:
x = - [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] (x - 2) = 4x
Multiply both sides by 5 to clear the fraction
2(x - 2) = 20x ( divide both sides by 2 )
x - 2 = 10x ( subtract x from both sides )
- 2 = 9x ( divide both sides by 9 )
- [tex]\frac{2}{9}[/tex] = x
If the model was built using a 1-to-64 scale, and the length of the model is 10.5 inches, What is the length of the actual tractor in feet?
Answer:
The length of the actual tractor is:
56 feet.Step-by-step explanation:
Firstly, you must know the conversión between inches and feet:
1 foot = 12 inchesOr
1 inch = 0.0833333 feetHow the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:
Length of the actual tractor = 10.5 inches * 64 = 672 inchesThe paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:
1 foot = 12 inchesx = 672 inchesAnd we operate:
x = (672 inches * 1 foot) / 12 inchesAfter we cancel the unit "inches:"
x = 672 feet / 12x = 56 feetFor this reason, we obtain the final value of 56 feet to the actual length of the tractor.
help please very confused.
Answer:
12.
Step-by-step explanation:
Replace k in the radical by -2:
So we have √(-72*-2)
= √144
= 12.
Answer:
12
Step-by-step explanation:
[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]
Question 3
the figure needs solving help
Answer:
ABC = 60
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
ACD = B+ A
100 = 40 + B
Subtract 40 from each side
100-40 = 40+B -40
60 = B
ABC = 60
Answer:
60°
Step-by-step explanation:
A man divided some apples among his two children and himself. If the man took 3 apples for
himself and divided the remaining apples evenly between each of his children and each child had
fewer than 5 apples. How many apples were there originally?
Answer:
15
Step-by-step explanation:
please help! urgent
The cost of renting a community center is $100, with and additional $10 per guest.
Which graph has the most appropriate scales and units for this situation? (pictures attached)
Answer:
I think it is A
Step-by-step explanation:
the reason i am saying A is that you don't really know how many guests are coming it could be 10 or 15 or even more.
Answer:
Ok so it is A, I'm almost positive because the first fee is 100 but if you add ten people it is two hundred. the price is DEPENDANT on the amount of people so people is the Independent variable or (x) and cost is the dependent variable or (y) graph A lines up perfectly because if you have ten additional people you have 10 x the cost per person wich = 10 and 10 x 10=100, if you start with 100 as the base cost and add 100 in additional people you will owe 200
Step-by-step explanation:
HOLD ON if you are taking this test in plato/edmentum it will be a diffrent answer but the same graph, just try to find the same graph as graph A
In the figure below an angle that is supplementary to angel FAB is:
Thank you if you could help me <3 It’s geometry
Answer:
CAB
Step-by-step explanation:
Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.
Help asap plz, dhdbhdhf
Can I get some help with this question?
Answer:
$250
Step-by-step explanation:
200/80=2.50
2.50*100=250
Answer:
$250.
Step-by-step explanation:
By proportion the cost should be 200 * 100/80
= 200*5/4
= 50 * 5
= $250.
someone please help me !!!
Answer:
x = 120°
Step-by-step explanation:
The equation is given to you:
The sum of the interior angles can be found using the equation:
Sum = (n - 2)180
Note that:
n = # of sides.
Plug in 6 for n in the equation.
∑ = (6 - 2)180
First, solve for the parenthesis:
∑ = (4)180
Next, multiply:
∑ = 4 * 180
∑ = 720
You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:
720/6 = 120
120° is your answer.
~
Answer:
the answer is 120 degrees
IVE BEEN STUCK ON THIS QUESTION CAN I PLEASE GET SOME HELP I WOUDL APPRECIATE IT THANK YOU
Answer:
B. 3x² -17
Step-by-step explanation:
f(x)= 3x+1
g(x)= x² -6
(f °g)(x) =f(g(x)) so plug in in f for variable x²-6
(f °g)(x) = 3(x² -6) +1 =3x² -18 +1 = 3x² -17
what is the HCF of 98 and 42
