Answer:
10
Step-by-step explanation:
To find the value of n we can write:
(n + n + 3 + n + 4 + n + 5 + n + 6 + n + 8 + n + 10 + n + 12 + n + 15) / 9 = 11
(9n + 63) / 9 = 11
9n + 63 = 99
9n = 36
n = 4
The median is n + 6 which is 4 + 6 = 10.
Answer:
median: 10
Step-by-step explanation:
There are 9n, and the numbers add up to 63, and there are a total of 9 terms.
The equation is (9n+63)/9=11.
(9n+63)/9=11
9n+63=99
9n=36
n=4
To find the median, eliminate the terms
The middle term is n+6
n+6
4+6
10
So the median is 10
This year at the state fair they held two hot dog eating contests. The first contest had 19 contestants and the winner would be the person that ate the most regular-sized hot dogs in 15 minutes. The second contest had 23 contestants and the winner would be the person that ate the most jumbo-sized hot dogs in 15 minutes. The data from both contests are shown in the box-and-whisker plots above. Using the box-and-whisker plots, the results for the____-sized hot dog contest has greater variability. The difference in the medians of the two contests is approximately _____times the interquartile range.
Answer:
*regular-sized hot dog contest has greater variability
*The difference in the medians of the two contests is approximately 2 times the interquartile range.
Step-by-step explanation:
Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.
The greater the value of the range or interquartile range, the greater the variability.
Range for regular-sized hot dog contest = 32 - 17 = 15
Range for Jumbo-sized hot dog contest = 22 - 8 = 14
Interquartile range for regular-sized hot dog contest = 27 - 22 = 5
Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5
Median for regular-sized hot dog contest = 23
Median for jumbo-sized hot dog contest = 14
The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)
Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.
The difference in the medians of the two contests is approximately 2 times the interquartile range.
The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).
Help ASAP. what is this asking me to do
Answer:
It's asking you to write the function in a factored form for example g(x) or f(x) that's why its asking for you to use the x as the variable.
Step-by-step explanation:
What is the approximate value of x in the diagram below? use one of the trigonometric ratios in the table.
Answer:
x = 31.64
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 36 = 23/x
x tan 36 =23
x = 23/tan 36
x=31.63686382
Rounding to 2 decimal places
x = 31.64
Answer:
D. 31.64
Step-by-step explanation:
Find the vertex of the function given below.
y= x2 - 6x +1
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
For her birthday, Samantha received a gift card, with a value of $200, to a department store. She wants to purchase at least 5 articles of clothing for work. At the store, sweaters cost $24.49 each and dress pants cost $36.99 each. If Samantha does not spend more than the amount on the gift card, which system of inequalities could be used to determine the number of sweaters, s, and the number of dress pants, p, she can buy? A. s + p $200 B. s + p > 5 $24.49s + $36.99p 5 $36.99s + $24.49p < $200
Answer:
The correct system of inequalities is:
[tex]\left \{ {{s + p \geq 5} \atop {24.99s + 36.99p \leq 200}} \right.[/tex]
Step-by-step explanation:
Since Samantha wants to buy at least 5 pieces of clothing, this means that the total of clothing she buys can be 5 or more, then the sum of sweaters and dress pants she have to buy is:
[tex]s + p \geq 5[/tex]
She can't spend more than the gift card, this means that the number of clothing pieces she buys multiplied by its cost must be less or equal to the card's value, so she has to spend:
[tex]24.99*s + 36.99*p \leq 200[/tex]
Therefore the correct system of inequalities is:
[tex]\left \{ {{s + p \geq 5} \atop {24.99s + 36.99p \leq 200}} \right.[/tex]
9 cans of paint are needed to
paint 4 rooms. Exactly how
many cans of paint are needed to
paint 10 rooms? How many cans
of paint should be purchased?
Exact:
Purchased:
Answer:
Step-by-step explanation:
Write and solve an equation of ratios:
9 4
----- = -----
x 10
Then 4x = 90, and x = 22.5
It will take exactly 22.5 cans of paint to cover 10 rooms. The painter must buy 23 cans.
Graph the linear equation,find three points that solve the equation,then plot on the graph. -4y=x-18
Answer:
Step-by-step explanation:
The equation given to us is:
-4y = x-18
y = (x-18)/-4
Substitute x = 0:
y = (0-18)/-4
y = 4.5
Substitute x = 18
y = (18-18)/-4
y = 0
Substitute x= -18
y = (-18-18)/-4
y = -36/-4
y = 9
The three points found are (0,4.5), (18,0), (-18,9)
Graph all three point onto the coordinate plane.
Join all three point with a line, and extend the line.
The line shows the graph for -4y=x-18
Answer:
(-6,3) (-2,4) (2,5)
Step-by-step explanation:
What is the value of (Negative 5) Superscript 4?
Answer:
625
Step-by-step explanation:
-5⁴
-5 × -5 × -5 × -5
= 625
the simplified value of the given Expression (Negative 5) Superscript 4 will be 20.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given a mathematical expression (Negative 5) Superscript 4
Simplifying the expression
=> (Negative 5) Superscript 4
in other terms
=> (-5)⁴
=> -5*-5*-5*-5
=> 20
Therefore, the simplified value of the given Expression will be 20.
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The expression is now simplified to 3−6i+5i. What is the a+bi form? Type in your final solution in a+bi form, like this: 4+2i Algebra 2
Answer:
3 - 1i
Step-by-step explanation:
3 - 6i + 5i
Add like terms.
3 - 1i
3 + -1i
a = 3
b = -1
PLEASE HELP!! I will award Brainliest and give 55 POINTS!!! THANK YOU
Answer:
79
Step-by-step explanation:
If we square m + 1/m we get (m + 1/m)² = m² + 2 * (m * 1/m) + 1/m² = m² + 2 + 1/m². Since m + 1/m = 9, (m + 1/m)² = 81 so that means that m² + 1/m² = 81 - 2 = 79.
Answer:
79 is correct
A store manager asks every 25th person to enter the store which sales they like the best. Which type of data collection method is described in this situation?
A.observational study
B. experiment
C. sample survey
D. None of the choices are correct.
The correct answer is C. Sample survey
Explanation:
A sample survey is a study method that involves selecting a portion of a population and asking questions to these individuals to know their opinions or insights about a particular situation. Additionally, the answers provided by the selected individuals are used to make conclusions about all the population. This method is the one used in the situation described because the store manager selects only some customers to know about the sales they prefer and would likely use this information to know the preferences of all the customers.
What is the product of (7/8)(-16)(-7)(- 1/14)
Answer:
-7
Explanation:
7/8 x - 16 x -7 x -1/14 = -7
Answer: -7
7/8 x -16 = -14
-14 x -7 = 98
98 x 1/14 = -7
ANSWER IS -7
There is $500 in each of three envelopes. The first envelope contains only $10 bills, the second envelope contains only $20 bills, and the third envelope contains only $50 bills. One bill is taken out of one of the envelopes, two bills are taken out of another envelope, and three bills are taken out of the remaining envelope (in any order). What is the least possible amount, in dollars, that can be taken out?
Answer:
order:
-3 bills from first envelope (-30 dollars)
-2 bills from second envelope (-40 dollars)
-1 bill from third envelope (-50 dollars)
total least possible amount that can be taken out: 120
Step-by-step explanation:
Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.
Answer:
$120
Step-by-step explanation:
So this question isn't hard either
We can cross out excess information and just find the main points.
a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills
b. 1-3 bills are taken out of each envolope
c. It wants you to find the least possible amt. that could have been token out.
So since we want the least, we must take the smallest out of the largest
In order, 1 from 50 (largest)
2 from 20 (middle)
and 3 from 10 (smallest)
this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120
Thus, we have our answer 120
Hope this helps!
The diagram shows a solid shape.
The volume of the cone is 270 cm.
Work out the volume of the solid shape.
Give your answer in terms of pi
Answer:
[tex]756\pi[/tex]
Solution,
Volume of cone=270 pi cm^3
[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]
Volume of semisphere:
[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]
Total:
[tex]270\pi + 486\pi \\ = 756\pi[/tex]
hope this helps...
Good luck on your assignment..
If there are 50 cups of rice for a group of five people who have a combined weight of 880 pounds, determine how many cups each person should get per 100 pounds. Round to the nearest tenth of a cup.
Answer:
28.4 cups
Step-by-step explanation:
If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.
Now, we can set up a proportion:
[tex]\frac{176}{50} =\frac{100}{x}[/tex]
Cross Multiply:
176x = 5000
x = 5000/176 = 28.4 cups
The required number of cups that each person has 5.6 cups per 100 pounds.
There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.
Fraction is defined as the number of composition constitute the whole.
average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)
Number of cups per 100 pounds = 50/880*100
= 5.6 cups per 100 pound
Thus, the required number of cups that each person has 5.6 cups per 100 pounds.
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how can you tell that 4:1 and 12:3 are equivalent ratios?
Answer:
They are equivalent.
Step-by-step explanation:
You can tell because 4:1 can go into 12:3.
If you multiply 4 by 3 you will get 12.
If you multiply 1 by 3 you would get 3.
12:3=4:1
Hope this helps!
Step-by-step explanation: Two ratios are equal if the fractions that represent the are equal.
So we first write the ratios 4 : 1 and 12 : 3 as the fractions 4/1 and 12/3.
Now, to determine whether the two fractions are equal,
we write each fraction in lowest terms.
Notice that 4/1 or 4 is already in lowest terms.
So let's move on.
12/3 can be simplified to 4.
So we have 4 = 4 which is true.
So that's how we know the ratios 4 : 1 and 12 : 3 are equal.
Point B lies on segment AC . Find the length of the segment BC , if: AB = 4 mm, AC = 4 cm.
Answer:
The length of the segment BC is 3.6
Step-by-step explanation:
First you need to change 4 mm to .4 cm because mm and cm are not the same. So the total is 4 cm. but you only need to find BC. So in order to get BC, you do 4 - .04 which gives you 3.6. So the length of the segment BC is 3.6. There is a model if the explanation is not as clear.
PLEASE HELP!!!!
Find the product. Write your answer in
exponential form.
2^6•2^-5
Answer:
2^1
According to the product of powers with the same base, a^m * a^n = a^m+n.
Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.
2^6 * 2^-5
The bases are the same, so we can apply this rule.
6 + -5 = 1
This gives you the answer of 2^1.
solve the math problem please
Answer:
B, x≥2
Step-by-step explanation:
54 - 10x ≤ 20 + 7x - subtract 20
34 - 10x ≤ 7x - add 10x to 7x
34 ≤ 17x - divide 34 by 7
2 ≤ x - flip the equation - x ≥ 2
Hope this is helpful!
Answer:
Choice B
Step-by-step explanation:
TRUST ME. IF YOU WANT EXPLANATION:
54 - 10x < = 20 + 7x
54 - 20 < = 7x + 10x
34 < = 17x
34/17 < = x
2 < = x.....or x > = 2....its B trust me
Use the graph of f to describe the transformation that results in the graph of g. f(x) = log x; g(x) =
Answer:
The function was expanded vertically by 5, and then translated vertically upwards 6 units.
Which is the third option in the list of possible answers.
Step-by-step explanation:
Recall that the types of transformations associated with:
A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;
B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.
Therefore, the function [tex]f(x) = log(x)[/tex] being transformed into [tex]g(x)=5\,log(x)+6[/tex]
consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.
Easy enough!!! BRAINLIEST AWARDED IF YOU GET IT RIGHT! Solve the problems:
Answer:
line PQ and line SR are parallel and line PS and line QR are parallel. And we can amuse QS as the transversal.
answers to pairs of angles:
7. opposite interior angles
8. opposite interior angles
9. adjacent interior angles
10. corresponding angles
11. opposite interior angles
Hope it helps
Step-by-step explanation:
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answer:
50%
Step-by-step explanation:
Percent increase formula for your problem:
#wolves increased / # of wolves there were originally
We have
(27-18) / 18
9 / 18
1 /2
1/2=50% So, there was a 50% increase!
Hope this helps
a particular strain of bacteria doubles in population every 10 minutes. Assuming you start with a single bacterium in a petri dish, how many bacteria will there be in 2.5 hours? A. 16,384 B. 65,536 C. 32,768 D. 9536
Answer:
C. 32,768
Step-by-step explanation:
Step 1
Convert the number of hours to minutes
2.5 hours to minutes = 2 hrs 30 minutes to minutes is calculated as
1 hour = 60 minutes
2 hours 30 minutes =
Cross multiply
(60 minutes × 2 hours) + 30 minutes = 150 minutes.
Step 2
We are told in the question that the bacteria population doubles every 10 minute interval
Find the number of intervals in 150 minutes
= 150 minutes / 10 minutes interval
= 15 intervals
Step 3
The number of bacteria present after 2.5 hours is calculated using the formula of
= Amount of bacterium × 2ⁿ
Where n = number of intervals = 15
Amount of bacterium = single bacterium = 1
Number of bacteria = 1 × 2¹⁵
= 32,768
Therefore, when you start with a single bacterium in a petri dish, the number of bacteria that will there be in 2.5 hours is 32,768
a squared paper shows the nets of cuboid A and cuboid B. do the two cuboids have the same surface area? plzzzzzzzzz answer
Answer:
No it doesn't have the same surfaces
The cuboid A and B have different surface areas.
What is surface area?The surface area of a three-dimensional object is the total area of all its faces.
Formula for the surface area of cuboidSA=2lw + 2lh + 2hw
Where,
SA is the surface area of a cuboid
l is the length of the cuboid
h is the height of the cuboid
w is the width of the cuboid
Let the area of each cube is one unit.
So, for the cuboid A
Length = 3 unit
Width = 2 unit
Height = 3 unit
Therefore, the surface area of cuboid A = ( 3 × 2 + 3 × 2 + 2 × 2 ) 2
⇒ Surface area of cuboid A = 32 square unit
For cuboid B
Length = 4 unit
Width = 1 unit
Height = 3 unit
Therefore,
The surface area of cuboid B = (4 × 1 + 4 × 3 + 3 × 1)2
⇒ Surface area of cuboid B = 38 square unit
Hence, the cuboid A and B have different surface areas.
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Help please. (Given: y ∥ x Prove: m∠5 + m∠2 + m∠6 = 180)
Answer:
Step-by-step explanation:
Concepts used :
sum of angles at a point on straight line is 180
if a transversal intersects two parallel lines then alternate angles are equal.
____________________________________________
∠∠∠∠∠
m∠1 + m∠2 + m∠3 = 180 ____________(A)
reason :sum of angles at a point on straight line is 180
these angles lie on LAM at point A
m∠1 = m∠5
Reason: alternate angles y ∥ x and AC is transversal
m∠3 = m∠6
Reason: alternate angles y ∥ x and AB is transversal
Substituting m∠1 with m∠5 and m∠3 with m∠6
in equation A---m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
Answer:
The answers are below. Hope this helped. I sacrificed my answers ˙-˙ :)
Step-by-step explanation:
<1 congruent to <5 Given
<3 congruent to <6 Alternate Interior Angles theorem
m<1 = m<5 Alternate Interior Angles theorem
m<3 = m<6 Definition of congruent angles
m<1+m<2+m<3=m< LAM Definition of congruent angles
m<1+m<2+m<3=180 Angle additon postulate
m<5+m<2+m<6=180 Definition of straight angle
Question 1: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent, dependent; one inconsistent; one inconsistent; none consistent, dependent; infinite Question 2: Classify the system of equations and identify the number of solutions. 3x + y = 4 12x + 4y = 16 Answers: consistent, independent; one inconsistent; none consistent, dependent; one consistent, dependent; infinite Question 3: John and Harry went to a stationery shop. John bought 3 pens and 8 notebooks for $20.50. Harry bought 4 pens and 5 notebooks for $16.00. Identify the cost of a pen and the cost of a notebook. Answers: pen: $1.00; notebook: $2.50 pen: $2.00; notebook: $1.50 pen: $1.50; notebook: $2.00 pen: $2.00; notebook: $3.00
Answer:
1. The equations is inconsistent and has no solution
2. The equations is consistent and has no solution
3. A pen costs $1.50 and a notebook costs $2.00
Step-by-step explanation:
Solving [tex]7x + 3y = 10[/tex] and [tex]3y = 9 - 7x[/tex]
[tex]7x + 3y = 10[/tex] --- Equation 1
[tex]3y = 9 - 7x[/tex] --- Equation 2
Add 7x to both sides in equation 2
[tex]7x + 3y = 9 - 7x + 7x[/tex]
[tex]7x + 3y = 9[/tex] --- Equation 3
Subtract equation 3 from 1
[tex](7x + 3y = 10) - (7x + 3y = 9)[/tex]
[tex]7x - 7x + 3y - 3y = 10 - 9[/tex]
[tex]0 + 0 = 1[/tex]
[tex]0 \neq 1[/tex]
The equations is inconsistent and has no solution
Solving [tex]3x + y = 4[/tex] and [tex]12x + 4y = 16[/tex]
[tex]3x + y = 4[/tex] -- Equation 1
[tex]12x + 4y = 16[/tex] ---- Equation 2
Make y the subject of formula in equation 1
[tex]y = 4 - 3x[/tex]
Substitute 4 - 3x for y in equation 2
[tex]12x + 4(4 - 3x) = 16[/tex]
[tex]12x + 16 - 12x = 16[/tex]
Collect Like Terms
[tex]12x - 12x = 16 - 16[/tex]
[tex]0 = 0[/tex]
The equations is consistent and has no solution
3. Solving John and Harry
Given;
Represent Pen with P and Notes with N
John: [tex]3P + 8N = 20.5[/tex]
Harry: [tex]4P + 5N = 16.00[/tex]
Required
Find P and N
Make P the subject of formula in equation 2
[tex]4P = 16 - 5N[/tex]
[tex]P = \frac{16 - 5N}{4}[/tex]
Substitute [tex]P = \frac{16 - 5N}{4}[/tex] in equation 1
[tex]3P + 8N = 20.5[/tex]
[tex]3(\frac{16 - 5N}{4}) + 8N = 20.5[/tex]
Open the bracket
[tex]\frac{48 - 15N}{4} + 8N = 20.5[/tex]
Take LCM
[tex]\frac{48 - 15N + 32N}{4} = 20.5[/tex]
[tex]\frac{48 + 17N}{4} = 20.5[/tex]
Multiply both sides by 4
[tex]4 * \frac{48 + 17N}{4} = 20.5 * 4[/tex]
[tex]48 + 17N = 82[/tex]
Subtract 48 from both sides
[tex]48 - 48 + 17N = 82 - 48[/tex]
[tex]17N = 82 - 48[/tex]
[tex]17N = 34[/tex]
Divide both sides by 17
[tex]17N/17 = 34/17[/tex]
[tex]N = 34/17[/tex]
[tex]N = 2[/tex]
Substitute 2 for N in [tex]P = \frac{16 - 5N}{4}[/tex]
[tex]P = \frac{16 - 5 * 2}{4}[/tex]
[tex]P = \frac{16 - 10}{4}[/tex]
[tex]P = \frac{6}{4}[/tex]
[tex]P = 1.5[/tex]
Hence, a pen costs $1.50 and a notebook costs $2.00
Select all the expressions that are equivalent to 16x + 36.
a 16(x + 20)
b. x(16+36)
C. 4(4x + 9)
d. 2(8x + 18)
e. 2(8x + 36)
Answer:
2(8x + 18) and 4(4x + 9)
Step-by-step explanation:
16 and 36 are both evenly divisible by 2 and 4. Thus, possible equivalents of 16x + 36 are 2(8x + 18) and 4(4x + 9).
Expressions equivalent to 16x + 36 are 4(4x+9) and 2(8x + 18).
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
Given expression
16x + 36
= 4.4x + 4.9
16x + 36 = 4(4x+9)
= 2.2(4x + 9)
16x + 36 = 2(8x + 18)
Hence, 4(4x+9) and 2(8x + 18) are equivalent to 16x + 36.
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the trainer wants to plan better. she goes to the store on the day she ran out of the first type of dog food. she decides to hug enough dog food to last 90 days. Knowing what she already has in the house how much more of each type of dog food does she need to buy in order to use up all the food in 90 days?
Answer: fciycfuxurxr
Step-by-step explanation:
Yddyxrusstxtsxdyxur
Martina creates the graph of function g by applying a transformation to function f
f(x) = 4^x-2
g(x) = 4^x+7
Which transformation did Martina apply?
Answer:
A
Step-by-step explanation:
f(x)=4^x-2
g(x)=4^x+7
it is horizontal shift 9 unit to the left
hope it works
Answer:
A: A horizontal shift of 9 units left
Hope this helps! :D
Step-by-step explanation:
Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)
Answer:
√2x+8=x-8
2x+8=x^2-16x+64
-x^2+18x-56=0
x^2-18x+56=0
x(x-4)-14(x-4)=0
(X-4)(x-14)=0
x=4(extraneous) ,x=14
—> x=14
Step-by-step explanation:
Answer: (14,6)
Step-by-step explanation:
Right on edg 2022.