The equation in slope-intercept form to model the cost in dollars, y, for x refills is 3.50 = 2.50x + b.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given that movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $2.50 each.
The value of y is popcorn cost = $3.50
The slope will be $2.50
Therefore, the equation is y = mx + b
Plug the values; y = 3.50 and m = 2.50
3.50= 2.50x + b
Hence, the equation in slope-intercept form to model the cost in dollars, y, for x refills is 3.50= 2.50x + b.
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Based on the graph of this normal distribution
a. The mean is ____
b. The standard deviation is ____
c. 68 % of the data values are between ____ and ____
d. 95 % of the data values are between ____ and ____
e. 99.7 % of the data values are between ____ and ____
The normal distribution based on the graph is:
a) The mean is 91.
b) The standard deviation is 1.
c) 68 % of the data values are between 90 and 92.
e) 99.7 % of the data values are between 87 and 94.
What is the normal distribution?
The standard deviation determines the width of the curve in a normal distribution, which depicts a symmetrical plot of data around its mean value.
From the graph the mean is (x¯) = 91
a) The mean is 91
and Standard Deviation (σ)= (∑(x - x¯)²)
= (70-91)²+ (77-91)² +(84-91)²+(91-91)²+(98-91)²+(105-91)²+(112-91)²
= 1372 / 1371
= 1.0007293946
σ = 1
b) The standard deviation is 1.
if x¯ is the mean and σ is the standard deviation of the distribution, then 68% of the values fall in the range between (x¯−σ) and (x¯+σ).
= (91 -1) (91+1)
= 90 to 92
c) 68 % of the data values are between 90 and 92.
About 95% of the values lie within two standard deviations of the mean, that is, between (x¯−2σ) and (x¯+2σ).
(91-2) to (91+2)
89 to 93
d) 95 % of the data values are between 89 and 93.
About 99.7% of the values lie within three standard deviations of the mean, that is, between (x¯−3σ) and (x¯+3σ) .
(91-3) to (91+3)
87 to 94
e) 99.7 % of the data values are between 87 and 94.
Hence, the normal distribution based on the graph is:
a) The mean is 91.
b) The standard deviation is 1.
c) 68 % of the data values are between 90 and 92.
e) 99.7 % of the data values are between 87 and 94.
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x + 2 = - 19..............
Answer: -21
Step-by-step explanation:
[tex]x+2=-19\\\\What\ value\ of\ x\ will\ make\ the\ left\ side\ equal\ to\ -19?\\\\Well,\ if\ we\ subtract\ 2\ from\ both\ sides,\ we\ get\ our\ answer...\\\\x+2-2=-19-2\\\\The\ 2\ and-2\ on\ the\ left\ cancel\ out\ leaving\ us\ with\\\\\boxed{x=-21}[/tex]
We can check our work by plugging back in -21 for x and getting -19 = -19
Given the table below, write a linear equation that defines the
dependent variable, c, in terms of the independent variable, a.
No need for steps only answer someone help please brainliest
Answer:
c = -(7/5)a + 15
Step-by-step explanation:
c= (8-15)/(4-0)×a+15
c= -(7/5)a + 15
drew checks his pulse while exercising. he counts 25 beats in 10 seconds. at this rate how many times will his heart beat in one minute?
Answer:
Step-by-step explanation:
There are 60 Seconds in a Minute.
60/10 = 6
25 x 6 = 150 beats in one minute
Answer: 150
Function A is represented by the equation y=2 x+5
Function B is a linear function that goes through the points shown in the table.
Which statement correctly compares the rates of change of the two functions?
Answer:
The rate of change is the same for both A and B (2)
Step-by-step explanation:
In the equation, the rate of change is shown as the coefficient of the variable x. That is the number before the x which is 2.
In the table you find the rate of change as the change in y over the change in x. In the table the y's are increasing by 4 (3- -1), 2 (5-3) and 4 (9-5). The x's are increasing by 2 (3-1), 1 (4-3) and 2 (6-4).
If I take the change in y over the change in x, I will get 4/2 = 2, 2/1 = 2 or 4/2 = 2
From the table the rate of change is also 2.
Solve for X.
(Please I need help on this problem.)
Answer:
sum of angles in a triangle is 180
it is an equilateral triangle so each angle gets 60 degrees.
6x +6 is 60
6x is 60 - 6
6x is 54
divide both sides by 2
6x/6 is 54/2
x is 9
11. Rezolvaţi în mulţimea Z ecuaţia:
a) 3⋅(x + 7) =12; b) − 2⋅(x + 9) = −28;
c) 5⋅(3− 2x) = −10; d) 2x :| −5 | = 8;
e) 32 :(−2x) = 1; f) 7 ⋅(2 − x) = | −42 |.
The product of 8 and b, taken from 10
Step-by-step explanation:
10-8b
hope it helps. please mark brainliest
The woods behind Wendy’s house were 8 miles wide and have an area of 24 mi.² what is the length of the woods 
Answer:
48 miles
Step-by-step explanation:
i think thats it.
Answer: 4.
Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.
Hope this helps!
√(2) rational or irrational
Answer:
√2 is irrational.
Step-by-step explanation:
√2 = p/q, where 'p' and 'q' are integers, q ≠ 0 and p, q have no common factors (except 1). Thus, p and q have a common factor 2. This statement contradicts that 'p' and 'q' have no common factors (except 1). We can say that √2 is not a rational number.
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A recipe calls for 2 cups of flour for every 1/4 cup of raisins. If 1 1/2 cups of raisins were used, how many cups of flour would be added?
The quantity of the cups of flour that would be added would be = 12 cups.
What is flour?Flour is the product of wheat grains that is commonly used for baking of dough and it measured with measuring cups or weighting scales.
According to the recipe from the given question above;
2 cups of flour = 1/4 of raisin
X cups of flour = 1½ of raisin
Make X cups of flour the subject of formula:
X cups = 2×1½ /¼
X cups = 3/¼
X cups = 3×4 = 12 cups.
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Solve each of the following equations using the Principle of Zero Products and match it to its correct pair of solutions on the
right. Each pair on the right will be used once.
(x-9)(3x + 4) = 0
(x-4) (9x + 1) = 0
(x+9)(3x-4)= 0
(x+4)(9x-1)=0
x = -4 or x =
x = -9 or x =
x = 9 or x = -
x = 4 or x=-1
Each correct pair using Principle of Zero Products are-
Part a: (x-9)(3x + 4) = 0: x = 9 or x = -4/3
Part b: (x-4) (9x + 1) = 0: x = 4 or x= -1/9
Part c: (x+9)(3x-4)= 0: x = -9 or x = 4/3
Part d: (x+4)(9x-1)=0; x = -4 or x = 1/9
Explain the term zeros of the equation?The values of x that fulfill the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case.The degree of a equation f(x) = 0 determines how many zeros a polynomial has.For the stated equation-
Part a: (x-9)(3x + 4) = 0
Equating each term to zero;
(x-9) = 0
x = -9
And, (3x + 4) = 0
x = -4/3
Option: x = 9 or x = -4/3
Part b: (x-4) (9x + 1) = 0
Equating each term to zero;
(x-4) = 0
x = 4
And, (9x + 1) = 0
x = -1/9
Option; x = 4 or x= -1/9
Part c: (x+9)(3x-4)= 0
Equating each term to zero;
(x+9) = 0
x = -9
And, (3x-4) = 0
x = 4/3
Option: x = -9 or x = 4/3
Part d: (x+4)(9x-1)=0
Equating each term to zero;
(x+4) = 0
x = -4
(9x-1)
x = 1/9
Option: x = -4 or x = 1/9
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The complete question is-
Solve each of the following equations using the Principle of Zero Products and match it to its correct pair of solutions on the
right.
Each pair on the right will be used once.
(x-9)(3x + 4) = 0
(x-4) (9x + 1) = 0
(x+9)(3x-4)= 0
(x+4)(9x-1)=0
x = -4 or x = 1/9
x = -9 or x = 4/3
x = 9 or x = -4/3
x = 4 or x= -1/9
The graph shows the speed of a car while it is
slowing down to a stop.
a) Using an appropriate triangle with two of its
vertices on the curve, estimate the distance
travelled by the car during this time.
b) Is your answer an underestimate or an
overestimate?
You’re planning to visit with 7 clients today and you estimate that at most each client will require 3/4 hours of your time. At most, how long does your estimate say it will take you to visit with all of these clients?
Mathematically, it will take you 315 minutes (5 hours, 15 minutes) at most to visit with all 7 clients.
How is the time determined?We can employ mathematical operations, including addition, subtraction, division, and multiplication to determine the total time required to visit the seven clients.
Since we know that a client requires 3/4 hours or 45 minutes of your visiting time, we can multiply 45 minutes by 7.
The product of the multiplication operation gives 315 minutes, which we can convert into hours and minutes by a division operation.
The number of clients visiting today = 7
The time it a client requires of your visit time = 3/4 hours
3/4 hours = 45 minutes (0.75 x 60)
For the 7 clients, it will take you 315 minutes (45 x 7)
315 minutes equal 5 hours and 15 minutes.
Thus, using basic mathematical operations, we can conclude that, at most, you require 5 hours and 15 minutes to attend to all seven clients today.
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Find the interest rate for a $6000 deposit accumulating to $6957, compounded annually for 6 years.
The interest rate for a $6000 deposit accumulating to $6957, compounded annually for 6 years is r=2.49%.
What is meant by interest rate?The interest rate is the amount charged by the lender to the borrower over and above the principal amount. In terms of the receiver, a person who deposits money in any bank or financial institution obtains additional revenue due to the time value of money, which is referred to as interest received by the depositor.
Here's a simple interest formula: Interest = P x R x T, P = Principal Amount (the beginning balance).
Given, Amount=6957, P=6000, t=6 years
A=P[tex](1+(r/n)^{nt}[/tex]
6957=6000(1+(r/1))[tex](1+(r/1))^{6}[/tex]
[tex](1+(r/1))^{6}[/tex]=6957/6000
=1.1595
ln[tex](1+(r/1))^{6}[/tex]=ln(1.1595)
6(1+(r/1))=ln(1.1595)
(1+(r/1))=ln(1.1595)/6=0.0246
(1+(r/1))=[tex]e^{0.0246}[/tex]
1+r=1.02490508
r=0.02490508
r=2.49%
The interest rate for a $6000 deposit accumulating to $6957, compounded annually for 6 years is r=2.49%.
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Which data set could be represented by the boxplot shown? (1 point)
boxplot with the minimum of 2, lower quartile value of 3, median of 5, upper quartile of 9, and maximum of 10
Group of answer choices
{0, 2, 3, 5, 8, 9, 10, 10, 12}
{2, 3, 3, 4, 5, 5, 8, 10, 10}
{2, 3, 4, 5, 5, 7, 7, 9, 10}
{2, 3, 4, 5, 5, 5, 8, 9, 10}
{2, 3, 4, 5, 5, 7, 7, 9, 10} is the required dataset to represent the boxplot.
What is Statistics?Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
Given,
boxplot with the minimum of 2
lower quartile value of 3,
median of 5,
upper quartile of 9,
and maximum of 10
In the given data sets {2, 3, 4, 5, 5, 7, 7, 9, 10} represents boxplot with the minimum of 2, lower quartile value of 3, median of 5, upper quartile of 9, and maximum of 10
Hence, {2, 3, 4, 5, 5, 7, 7, 9, 10} is the required dataset to represent the boxplot.
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HELP ME OUUTT THANKS
Answer:
3/4n = 5/8
Step-by-step explanation:
your…. welcome……
I don’t trust meself so I might be wrong
A taxi company charges $4 as soon as a passenger enters the cab, then $3/mile for the first 6 miles, and then $2/mile for the distances greater than 6 miles. What best models the taxi company’s charges?
The total charge /cost c of taxi company's for a trip of d miles will be
c = 0.6 d + 1.2
What is mile with example?
A mile (mi) is a customary unit of distance. It is generally used to express the distance between cities, roads, and the length of rivers.For example , one could say the distance of a marathon race is about 26.3 miles or 26.3 mi.Let c be the cost/charges and d be the miles.
Let $3/mile be the basic charge as well as the cost for the distance covered.
For 6 mile trip , the cost is $ 4.80 , then the cost of 3 miles is
$ 4.80 - $ 3.00 = $ 1.80
Therefore, the cost for 1 mile is $ 1.80 / 3 = $ 0.60
The basic fee for hiring the cab is $ 3.00 - $ 1.80 = $ 1.20.
Therefore the total charge /cost c of taxi company's for a trip of d miles will be
Total cost = cost for 1 mile + basic fee for hiring the cab
c = 0.6 d + 1.2
If the formula is correct we get the given cost :
For 3 miles , then the cost c = 0.6(3) + 1.2 = $ 3.00
For 6 miles , then the cost c = 0.6(6) + 1.2 = $ 4.80
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can some help me understand this?
What is the completely factored form of 12xy – 9x – 8y + 6?
(3x – 2)(4y – 3)
3x(4y – 3) – 2(4y + 3)
–6x(4y – 3)(4y – 3)
(3x – 2)(4y – 3)(4y – 3)
Step-by-step explanation:
the answer
(3x-2)(4y-3)
Answer: (3x-2)(4y-3)
Step-by-step explanation:
The area of the smaller regular pentagon is about 27.5 cm².
What is the best approximation for the area of the larger regular pentagon?
11cm²
172 cm²
70 cm²
275 cm²
Answer:172 cm²
when we put this in the pentagon formula, and it will get 172.03, and we round it and will be 172
formula of pentagon is 1/2 × p × a
The sum of two numbers is always greater than the larger of the two numbers?
False
Step-by-step explanation:The sum is the total of an addition problem.
Addition of Positive Numbers
Most commonly, people add together positive numbers. Positive numbers are numbers greater than 0. The sum of 2 positive numbers is always greater than the addends. For example:
2 + 3 = 5The sum of these positive numbers, 5, is greater than the larger number, 3. However, the addition of positive numbers is not the only way to add.
Addition of Negative Numbers
Negative numbers are numbers less than 0. If you add negative numbers, then the sum will be less than the addends. So, the statement above is not true. For example:
-2 + 3 = 1In this case, the sum, 1, is less than the larger number, 3. This disproves the statement given.
2,239 ÷ 7
Division compatible numbers
Answer:the answer is 319.857 and round to 320
Step-by-step explanation:
A $300 suit is marked down by 20%. Find the sales price to the nearest dollar.
Fill in the blanks
markdown = _% x $_
markdown = $_
$_ - $_
sale price = $_
markdown = 20% x $300
markdown = $60
$300 - $60
sale price = $240
What is 3x +(-1) = -10 + 2x PLS HELP!!!
Answer:
x= -9
brainliest plssAnswer:
[tex]\boxed{\boxed{\tt x=-9}}[/tex]
Step-by-step explanation:
[tex]\tt 3x+\left(-1\right)=-10+2x[/tex]
[tex]\tt 3x-1=-10+2x[/tex]
Subtract 2x from both sides:-
[tex]\tt 3x-1-2x=-10[/tex]
Combine 3x and -2x to get x:-
[tex]\tt x-1=-10[/tex]
Add 1 to both sides:-
[tex]\tt x=-10+1[/tex]
Add -10 and 1 to get -9:-
[tex]\tt x=-9[/tex]
____________________
Hope this helps you!
Have a great day!
Given m || n, find the value of x.
Answer:
x = 11
Step-by-step explanation:
Since it's given n || m, we can write the following equation to find the value of x:
9x - 3 = 7x + 19 because these two are alternate exterior angles and have equal angle measurement.
transfer like terms to the same side of the equation9x - 7x = 19 + 3
add/subtract terms2x = 22
Divide both sides by 2x = 11
there were 7,000 raffle tickets sold at the school carnival. Each ticket cost $0.25. How much money did the school raise by selling raffle tickets
Answer: $1750
Step-by-step explanation:
7000x$0.25 = $1750
Jonathan Martinez has $85 deducted from his monthly pay for his group health insurance. His employer
pays 60% of the cost. What is the annual premium amount for Jonathan's group health insurance?
If his employer pays 60% of the cost. The annual premium amount for Jonathan's group health insurance is $2,550.
What is annual premium amount ?Annual premium can simply be defined as the premium a person is expected to pay per year or annually.
First step is to find the cost
Cost = $85/ (1-.60)
Cost = $85/.40
Cost = $212.5
Now let find the annual premium amount
Annual premium amount = Cost × 12 months
Annual premium amount = $212.5 × 12 months
Annual premium amount = $2,550
Therefore the annual premium amount is the amount of $2,550.
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PLEASE HELP !!!!! David is standing 500 feet away from the base of a cell phone tower. the angle of elevation from his eyes to the top of the tower is 78°. if David’s eyes are 6 feet above the ground how tall is the tower (EXPLAIN PLEASE)
The height of the tower is 2358 feets.
How to find the height of the tower?David is standing 500 feet away from the base of a cell phone tower.
The angle of elevation from his eyes to the top of the tower is 78°. David eyes are 6 feet above the ground . The height of the tower can be found as follows:
This situation forms a right angle triangle. Therefore,
using trigonometric ratios,
tan 78° = opposite / adjacent
tan 78° = x / 500
cross multiply
x = 500 tan 78°
x = 500 × 4.70463010948
x = 2352.31505474
Therefore,
height of the tower = 2352 + 6
height of the tower = 2358 ft.
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"3. Four relationships are given.
Relationship A: x 3 2 1 y 2 2/3 1 2 / 3 2/3 Relationship B: 2x=y
Relationship C: y=2+x
Relationship D: x 3 6 y 6 12 In which two relationships are the constant of proportionality 2?"
Answer:
B and D
Step-by-step explanation:
A - check to see IF the relationship is proportional by dividing each y by its associated x:
2 2/3 ÷ 3 = 8/9
1 2/3 ÷ 3 = 5/9
2/3 ÷ 3 = 2/9
none of these match, so not even proportional
B - CoP is the coefficient of x (2)
C - not proportional because of the +2
D - do the same as A
6/3 = 2
12/6 = 2
both are the same and equal to 2