Find the range of the following data: 181, 191, 171, 111, 121, 131, 141, 151, 161
Answers
Answer:
The range is 80.
Step-by-step explanation:
You just find the biggest and the smallest number and find the difference between the biggest and the smallest number. In this case, 191-111 is 80.
Related Questions
The dimensions of the base of Box 1 are x by 3x.
The base area of Box 1 is:
3x
3x^2
3x^3
4x
Answers
Answer:
3x^2
Step-by-step explanation:
x * x = x^2
3 * x^2 = 3x^2
Which measurement is the best estimate for the thickness of a phone book?
5 m
5 km
5 mm
5 cm
Answers
Answer:
5cm I think I am not sure
3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answers
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
222+209-789-678+1000
Answers
\(\large\huge\green{\sf{Answer:-}}\)
222+209-789-678+1000
222+209+1000-789-678
1431-(789+678)
1431-(1467)
-36
222+208-789-678+1000 = -36
-2(3 + 2x) = -3(x + 1)
Answers
Answer:
open bracket
-2(3+2x)=-3(x+1)
-6-4x=-3x-1
collect like terms
-4x+3x=-1+6
-1x=5
divide both sides by -1
x=-5
what is the are of of the triangle which has 17in Hight and 26in long
Answers
Answer:
base times height divide by two
26 times 17=442/2=221
the answer is 221
Step-by-step explanation:
Solve for x by using the quadratic formula. If you have multiple solutions, list them separated by commas.4x2+12x=−12x
Answers
First, equate the given to zero, and determine its coefficients a,b, and c
\(\begin{gathered} 4x^2+12x=-12 \\ 4x^2+12x+12=-12+12 \\ 4x^2+12x+12=0 \end{gathered}\)It is now in the standard form where a = 4, b = 12, and c = 12. Substitute these values to the quadratic formula and we get the following
\(\begin{gathered} x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a } \\ x = \frac{ -12 \pm \sqrt{12^2 - 4(4)(12)}}{ 2(4) } \\ x = \frac{ -12 \pm \sqrt{144 - 192}}{ 8 } \\ x = \frac{ -12 \pm \sqrt{-48}}{ 8 } \\ x = \frac{ -12 \pm 4\sqrt{3}\, i}{ 8 } \\ \; \\ x_1=\frac{ -12 }{ 8 }+\frac{4\sqrt{3}\, i}{ 8 } \\ x_1=-\frac{ 3}{ 2 }\pm\frac{ \sqrt{3}\, i}{ 2 } \\ \; \\ x_2=\frac{ -12 }{ 8 }-\frac{4\sqrt{3}\, i}{ 8 } \\ x_2=-\frac{ 3}{ 2 }-\frac{ \sqrt{3}\, i}{ 2 } \end{gathered}\)Therefore, the solution to the equation is
\(\begin{gathered} x=-\frac{ 3}{ 2 }+\frac{ \sqrt{3}\, i}{ 2 } \\ \text{ and} \\ x=-\frac{ 3}{ 2 }-\frac{ \sqrt{3}\, i}{ 2 } \end{gathered}\)irreducible fraction of -72/80 please
Answers
Answer:
Step-by-step explanation:
-72/80 = -36/40 = -18/20 = -9/10
A trucker wanted to track how long it took to reach Bismarck. When she started out, her clock
read 7:00AM. When she refueled, the clock read 8:00AM. After reaching Bismarck, the clock read
10:00AM. How many hours did it take this trucker to reach Bismarck?
Answers
Answer:
Below
Step-by-step explanation:
From 7 to 10 AM is THREE hours (if the times are all on the same day)
EHO
Using the following model, answer questions 1 - 2:
You bought a new car for $17,7 in 2005. Its value
has been decreasing by about 13% each year
Cuz Rocha
APPLICATIONS on Modeling Exponential Functions
Answer the following applications. Round your answers to 2 decimal places. Find the solution in the
Answer Bank. When you find a match, place the question number next to the color. Color the picture
accordingly to reveal the mystery picture!
1. Write an exponential model for the value of the car after "x" years
2. What will the car be worth in 2015?
Name:
Using the following model, answer questions 3 - 4:
The population of a small town has been increasing at
1.5% due to an economic boom in the area. The
population was 7,650 in 1995.
Using the following model, answer questions 5 - 6:
Peter earned $2,300 last summer. He deposited the
money in his savings account that earns 2.4% interesi
compounded annually.
Using the following model, answer questions 7 - 8:
You have inherited land that was purchased for
$10000 in 1950. The value of the land incrocisty
approximately 4% per year.
Using the following model, answer questions 9 - 10:
The student enrollment of a high school was 1250 in
2000 and decreased by 1% per year until 2015.
Using the following model, answer questions 11- 12:
You bought a commemorative coin for $150. Each year,
x, the value of the coin increased by 2.5%.
Applications on Modeling Exponential Functions
1. log₂ 128=7
ections: Write
4th
Date:
Rocha
Period:
3. Write an exponential model for the population in this town in a particular year
"X"
4. What is the population in 2017
5. Write an exponential model to describes the amount of money in the bank
after x number of years
6. How much money will Peter have in 8 years?
7. Write an exponential model for the value of the land x years after 1950
7.
What is the approbate value of the land in the year 2010
9. Write an exponential model to show school's student enrollment in terms of
x, the number of years since 2000.
10.
What is the number of students in 2015?
11. Write an exponential model to give the value of the coin after x number of
years.
12. What is the value of the coin at 50 years?
Never Give Up On Math 2017
:I
173
3.
nece
Answers
Answer:
If f(x) = +4, which of the following is the inverse of f(x)?
O A. ƒ˜¹(x) = 2(2+4)
B. ƒ˜¹(x) = 7(2-4)
C. ƒ˜¹(x) = 7(2+4)
D. f¯¹(x) = ²(2-4)
Step-by-step explanation:
8. Suppose Betty saves $200 each month in her 401(k) account. How much less will her monthly take-home pay be? (Assume a combined 20% state and federal income tax rate, as in the example.)
Answers
Note: Check the file attached below for the complete question
Answer:
Betty's monthly take home is $20 less
Step-by-step explanation:
Betty's monthly income = $2300
Betty's monthly savings = $200
Amount left after savings = $2300 - $200
Amount left after savings = $2100
Federal and State Income tax rate = 20% = 0.2
Tax amount paid = $420
Monthly take home = $2100 - $420
Monthly take home = $1680
Compared to $150 per month savings, Betty's monthly take home is $20 less
find the measure indicated. Assume that the lines which appear to be tangent are tangent. PART 3
NO LINKS OF ANY KIND
Answers
I'll do problems 13 and 14 to get you started.
=====================================================
Problem 13
Answer: 32 degrees-----------------------
Explanation:
Refer to the diagram below for problem 13. Since BD is a tangent of the circle, this means angle ABD is 90 degrees, and furthermore x+y = 90. This solves to y = 90-x.
If we focus on triangle ABC, then we can add the interior angles and set the sum equal to 180
A+B+C = 180
z+y+y = 180
z+2y = 180
z+2(90-x) = 180 .... plug in y = 90-x
z+180-2x = 180
z-2x = 180-180
z-2x = 0
z = 2x
We'll use this later.
Now move onto triangle ABD. This is a right triangle due to angle ABD being 90 degrees. The acute angles z and 26 are complementary, meaning they add to 90. So,
z+26 = 90
z = 90-26
z = 64
Now plug this into z = 2x and solve for x
z = 2x
64 = 2x
2x = 64
x = 64/2
x = 32
=====================================================
Problem 14
Answer: 31 degrees-----------------------
Explanation:
Refer to the image shown below for problem 14. Like before, I've added various labels to it to help find the angle we're after (the red angle x).
Note how I've drawn a dashed line from point A to point D. This splits up quadrilateral ABCD into two triangles ABD and ACD. These triangles can be shown to be congruent using the HL (hypotenuse leg) theorem.
The congruent triangles also implies that angle DBC and angle BCD are the same measure (both are shown in green as the variable y).
Focus on triangle BCD. It has interior angles of: y, y and 62. Add them up, set the sum equal to 180.
y+y+62 = 180
2y+62 = 180
2y = 180-62
2y = 118
y = 118/2
y = 59
As the image attachment mentions, the angles x and y add to 90 degrees. This is because angle ABD is 90 degrees, due to segment BD being tangent to the circle. So x+y = 90 leads to x = 90-y, and therefore,
x = 90-y
x = 90-59
x = 31
Side note: it is not a coincidence that we ended up with half of the value of 62.
What amount of a 80% acid solution must be mixed with a 55% solution to produce 600 mL of a 60% solution?
Answers
Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.
The equation can be set up as follows:
0.80x + 0.55(600 - x) = 0.60(600)
Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.
By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.
Internal Link: For a verified answer on a similar topic, check out this link: https://brainly.com/question/1234567 intext:Answer Expert Verified.
Let x=amount of 80% solution needed
Then 600-x=amount of 30% solution needed
Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:
0.80x+0.30(600-x)=0.40*600 get rid of parens
0.80x+180-0.30x=240 subtract 180 from each side
0.80x+180-180-0.30x=240-180 collect like terms
0.50x=60 divide each side by 0.50
x=120 ml---------------------amount of 80% solution needed
600-x=600-120=480 ml---------------amount of 30% solution needed
CK
120*0.80+480*0.30=0.40*600
96+144=240
240=240
51. MULTIPLE CHOICE Which of the following numbers is not prime?
(Skills Review Handbook)
A 1
B 2
C 3
D 5
Answers
A bottle that contains hand sanitizer is in the shape of a pyramid with a rectangular base. The length of the base is 2 inches, and
the height of the bottle is 6 inches. Suppose the volume of the bottle is 24 in?. Calculate the width of the base of the bottle.
A)
1 inch
B)
3 inches
4 inches
D)
6 inches
Answers
Answer:answer 4
Step-by-step explanation: multiply each answer choose an dit leaves 6 time four is 24
1) Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of -3. Then graph the line. 2) Write an equation in point-slope form of the line with slope -3/5 that contains(-10 ,8). Then graph the line.
Answers
Answer:
An equation in the slope-intercept form is:
y = a*x + b
Where a is the slope, and b is the y-intercept.
a)
Here we have a slope of 6 and a y-intercept of -3
Then the equation is:
y = 6*x - 3
Now we want to graph this.
To graph it, we first need to find two points (x, y) that belong to this equation, then we can graph the points, and connect them with a line.
To find the points, we evaluate in two different values of x.
x = 0
y = 6*0 - 3 = -3
Then we have the point (0, -3)
x = 1
y = 6*1 - 3 = 3
Then we have the point (1, 3)
The graph of this line can be seen in the image below (the red one)
b) Similar to before, here the slope is -3/5, then the equation is something like:
y = (-3/5)*x + b
Now we also know that the line passes through the point (-10, 8)
This means that when x = -10, we must have y = 8
Replacing these two in the equation we get:
8 = (-3/5)*-10 + b
8 = 6 + b
8 - 6 = 2 = b
Then this equation is:
y = (-3/5)*X + 2
The graph can be found in the same way as before, the graph of this function can also be seen in the image below (the green one)
Each equation below is a characteristic equation for a recurrence relation. Express the solution to each recurrence relation as a linear combination of terms. Note that you will not know the actual coefficients in the linear combination since you are not given the base cases, so you can use a1, a2, etc.
(a) (x − 1)(x + 2) = 0
(b) (x − 4)(x − 4) = 0
(c) (x − 4)(x − 4)(x + 5) = 0
(d) (x − 4)(x − 4)(x + 5)^4 = 0
Answers
The solutions to each recurrence relation can be expressed as a linear combination of terms:
The general solution to the recurrence relation can be written as a1 * 1^n + a2 * (-2)^n.The general solution to the recurrence relation can be written as a1 * 4^n.The general solution to the recurrence relation can be written as a1 * 4^n + a2 * 4^n + a3 * (-5)^n.The general solution to the recurrence relation can be written as a1 * 4^n + a2 * 4^n + a3 * (a root of (x + 5)^4)^n.For (a) The solution to (x - 1)(x + 2) = 0 is
x = 1 and x = -2.For (b) The solution to (x - 4)(x - 4) = 0 is
x = 4.For (c) The solution to (x - 4)(x - 4)(x + 5) = 0 is
x = 4, x = 4, and x = -5.For (d) The solution to (x - 4)(x - 4)(x + 5)^4 = 0 is
x = 4, x = 4, and the 4 roots of (x + 5)^4 = 0.These linear combinations of terms can be used to describe the general solution to each recurrence relation, but the actual coefficients in the linear combination are not given and depend on the base cases of the recurrence relation.
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What is the following product?
√12 √18
O√30
O 5√6
O 6√5
O 6√6
Answers
Answer: \(6\sqrt{6}\)
Step-by-step explanation:
\(\sqrt{12}=2\sqrt{3}\\\\\sqrt{18}=3\sqrt{2}\\\\\implies \sqrt{12} \sqrt{18}=2\sqrt{3}(3\sqrt{2}=\boxed{6\sqrt{6}}\)
The product of square root of 12 i.e.,√12 and square root of 18 i.e.,√18 is 6√6.
What is product law for exponent?When two numbers has equal power then we can multiply the the numbers and the power remains same. The number in the power is called exponent and the number is called as base. In \(a^m\), \(m\) is the exponent and \(a\) is the base of the number \(a^m\).
Step-by-step explanation:
\(\sqrt{12}\)\(=\sqrt{4}\)×\(\sqrt{3}\)\(=2\)×\(\sqrt{3}\) , since the square root of 4 is 2
\(\sqrt{18}=\sqrt{2}\)×\(\sqrt{9}\)\(=\sqrt{2}\)×\(3\) , since the square root of 9 is 3
Now, \(\sqrt{12} \sqrt{18} = 2\)×\(3\)×\(\sqrt{2}\)×\(\sqrt{3}\) from above.
\(=6\sqrt{6}\)
Hence the product of √12 and √18 is √12√18=6√6
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In most cases, the _____________ will not be included in a scatterplot because the
display should focus on the part of the coordinate plane that contains the data.
Fill in the blank
Answers
Answer:couch
Step-by-step explanation:
Complete the statement by filling in the blanks. When constructing a confidence interval, if the level of confidence decreases, the margin of error will _________ [increase/decrease]and the confidence interval will be _________ [narrower/wider]. Group of answer choices
Answers
Answer:
Decrease; narrower.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
A confidence interval can be defined as a measure of the number of times that a population parameter would be within a given set of data. Thus, it is an estimate of the uncertainty of a given statistical data.
When constructing a confidence interval, if the level of confidence decreases, the margin of error will decrease and the confidence interval will be narrower.
Consequently, when constructing a confidence interval, if the level of confidence increases, the margin of error will increase and the confidence interval will be wider.
Hence, for an estimator to be consistent it must have both a small bias and small variance.
A man flies a kite with a 100 ft string. The angle of elevation of the string is 50degrees. How high off of the ground is the kite?
Answers
We will determine the y-component of the angle[Distance from the ground] as follows:
\(y_c=100\sin (50)\Rightarrow y_c=76.60444431\)From this, we know that the kite is approximately 76.60 ft from the ground.
which of the following is a Quadrilateral which must contain diagonals that are always congruent and must always have 90° angles?
Answers
Answer: B
Step-by-step explanation:
Eggs can be packaged 12 ( 1 dozen ) to a carton while English muffins are generally sold in packages of 8 . How many of each would you buy to make egg muffin sandwiches ( 1 egg per muffin ) so that you would use the same number of eggs and muffins with no extra eggs or muffins left over ? Explain how you solved the problem .
Answers
Answer:
2 cartons of eggs and 3 bags of English muffins
Step-by-step explanation:
2x12 = 24 and 3x8= 24
NEED YOUR HELP
An e-book regularly costs $30.99. How much does it cost if it's on sale for 68% of the regular cost?
___dollars
Answers
Then that means this is the whole, or 1.
If the final cost is 68% of the original price,
That means it is 0.68 times 30.99.
0.68 x 30.99 = 21.0732
Since prices don’t go smaller than cents,
Final answer: $21.07
If5<-x-1≤ 13, what are all possible values of x?
a. -6 < x < -14
b. -6 < x < -14
C. -6 >x>-14
d. -6 < x≤-15
Answers
Option (C) is correct.
The values of x are less than -6 and greater than -14.
An Inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expression.
The given Inequality is 5<-x-1≤ 13
Adding 1 on each sides of the inequality, we get
= 5+1 < -x-1+1 ≤ 13+1
= 6<-x≤ 14
Now, we will multiply both sides by negative sign.
Since, we are multiplying the inequality by a negative sign, we have to flip the inequality sign.
⇒ -6>x≥-14
Therefore, Option (C) is correct.
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Derrick and Samantha are selling tickets for their school musical. Floor seats cost $7.50 and balcony seats cost $5.00. Samantha sells 60 floor seats and 70 balcony seats, Derrick sells 50 floor seats and 90 balcony seats. Write an expression to show how much money Samantha and Derrick have collected for tickets.
Answers
B(x) = $5.00x
F(x) = 7.50(90)
B(x) = 5.00(160)
$7.50(90) = $675
$5.00(160) = $800
Between 1990 and 1999, the number of movie screens increased by 1500 per year. There were 20690 movie screens in 1990. Use a linear model to (a) determine how many movie screens there were in 1995 and (b) in what year were there 32690 movie screens.-use more than one strategy-use organization skills and verbally explain(ex charts,diagrams, number, table)
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Explain linear models
Linear models are a way of describing a response variable in terms of a linear combination of predictor variables. The response should be a continuous variable and be at least approximately normally distributed. It is given by the following equation.
\(\begin{gathered} y=mx+b\text{ } \\ \text{where m is the slope} \end{gathered}\)STEP 2: Get the linear model for the statements
\(\begin{gathered} constant=20690 \\ i\text{t increases by 1500 per year, year is given as x where x is the number of years after 1990} \\ increment=1500x \\ \\ \therefore\text{The linear model of the scenario is given as:} \\ y=20690+1500x \end{gathered}\)STEP 3: Determine the value of x for year 1995
\(\begin{gathered} Starting\text{ year is 1990,} \\ x=0 \\ \text{For 1991,} \\ x=1 \\ \text{For 1992,} \\ x=2 \\ For\text{ 1993,} \\ x=3 \\ \text{For 1994,} \\ x=4 \\ \text{For 1995,} \\ x=5 \end{gathered}\)STEP 4: Use the linear model to determine how many movie screens there were in 1995
Using the linear model given in Step 2, the movie screen in 1995 will be:
\(\begin{gathered} y=20690+1500x \\ x=5 \\ By\text{ substitution,} \\ y=20690+1500\left(5\right)=20690+7500=28190 \end{gathered}\)Hence. the number of movie screens in 1995 is 28190
STEP 5: Get the value of x for 32690 movie screens
\(\begin{gathered} y=20690+1500\left(x\right) \\ y=32690,x=? \\ by\text{ substituion,} \\ 32690=20690+1500x \\ Subtract\text{ 20690 from both sides} \\ 32690-20690=20690+1500x-20690 \\ 12000=1500x \\ Divide\text{ both sides by 1500} \\ \frac{12,000}{1500}=\frac{1,500x}{1500} \\ 8=x \\ x=8 \end{gathered}\)STEP 6: Get the year equivalent to x =8
\(\begin{gathered} When\text{ }x=0\text{, year is 1990} \\ When\text{ }x=8\text{, year will be 1990+8=1998} \\ \\ \therefore year=1998 \end{gathered}\)Hence, the year that has 32690 movie is 1998
In a Louisiana chili cook-off, 18 of the 40 chilis included two types of beans.
A photo of multiple crock pots on a long table is shown. The caption says chili cook-off.
What percentage of the chilis did not include two types of beans?
Enter the correct answer in the box.
Answers
Answer:
55%
Step-by-step explanation:
18 out of 40 include chili.
So 22 has no chili
22/40 = 0.55 or 55%
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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How to estimate the sums and differences
