The pricing scheme of the function is (a) The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
How to determine the pricing scheme?The points are given as:
Constant = (0,2) to (2, 2)Another = (2,2) to (6,10)Another = (6,10) to (7,11)The constant interval implies that the first two hours cost $2
Next, we calculate the slope/rate of the other points.
This is done using
m = (y2 - y1)/(x2 - x1)
So, we have:
m1 = (10 - 2)/(6 - 2) = 2
m2 = (11 - 10)/(7 - 6) = 1
This means that:
The next 4 hours are charged for $2 per hourAll hours after that cost $1Hence, the pricing scheme of the function is (a)
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For what value of x is the rational expression below equal to zero? 2-x+x/2+x
A package of Oreos has the unit price of $0.19 per ounce.a package of Nutter butters has a unit price of $0.21 per ounce which cookie is a better deal?
Answer:
Oreos is a better deal by lower unit price But i like Nutter Butters
Step-by-step explanation:
A package of Oreos is a better deal because it has a lower unit price per ounce. Oreos have a unit price of $0.19 per ounce, while Nutter Butters have a unit price of $0.21 per ounce.
Jenna’s Drama Club is selling tickets at school. Parent tickets cost $6 and student tickets cost $3. Polly hopes to make a minimum of $500 in tickets, selling a maximum of 120 tickets. Write a system of inequalities to represent this context.
Answer:
6p + 3s = 500
p + s = 120
Step-by-step explanation:
p represents the parents and s represents the students
the total amount of tickets should be p and s, hence why they equal 120
The total cost should be 500, and each parent ticket is $6 while each student ticket is $3 hence the 6p and 3s
The model of a train is 5.5 in. The scale of that
model is 1: 40. What is the actual length of the
train ?
____feet.
The actual length of the train is calculated to be 18.33 feet
How to get the actual length of the trainScale factors are used to increase or decrease image. The situation of increment is usually called enlargement, and it is case for the problem.
solving for the factor, assuming the factor is k, using the ratio 1 : 40. the scale factor is 40 / 1 = 40
Solving for the actual length
actual length = scale facto * model length
actual length = k * 5.5 in
actual length = 40 * 5.5 in
actual length = 220 in
converting to feet
12 in = 1 foot
220 in = ?
cross multiplying
12 * ? = 220
? = 220 / 12
? = 18.33 feet
the actual length of the train is 18.33 feet
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On Saturday, Carmen works no more than 8 hours at her job. Which inequality represents h, the number of hours Carmen works on Saturday?
The inequality h ≤ 8 represents the number of hours, Carmen works on the job.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
On Saturday, Carmen works no more than 8 hours at her job.
Let h be the number of hours, he works on the job.
According to the question,
h ≤ 8.
That means,
Carmen works less than or equals to 8 hours.
Therefore, the inequality is h ≤ 8.
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A population proportion is 0.30. A random sample of size 150 will be taken and the sample proportion will be used to estimate
the population proportion. Use the z-table.
Round your answers to four decimal places.
a. What is the probability that the sample proportion will be within ±0.03 of the population proportion?
b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
a. The probability that the sample proportion will be within ±0.03 of the population proportion is 0.6456.
b. The probability that the sample proportion will be within ±0.03 of the population proportion is 1.985.
What is population proportion?
The probability that a specific event will occur in the population is known as the population proportion. It is a parameter, and the sample proportion statistic is used to estimate it. The percentage of occurrences that occur in the sample is known as the sample proportion.
a. The probability that the sample proportion will be within ±0.03 of the population proportion is P(-0.03 < p - P < 0.003).
We Know that z-score of sample proportion is given by:
z = (p - P)/SE(p), where SE(p) represents standard error.
⇒SE(p) = √(0.3 * 0.7)/200
⇒SE(p) = √0.00105
⇒SE(p) = 0.0324
Now, using the z score, the probability P(-0.03 < p - P < 0.003) is computed as follows:
P(-0.03 < p - P < 0.003) = P(-0.03/SE(p) < p - P/SE(p) < 0.003/SE(p))
= P(-0.03/0.0324 < Z < 0.003/0.0324)
= P(−0.925926 < Z < 0.925926)
= 2P(0 < Z < 0.925926)
P(0 < Z < 0.925926) = 0.3228 (Using standard table)
So,
2P(0 < Z < 0.925926) = 2*0.3228 = 0.6456
Hence, the probability that the sample proportion will be within ±0.03 the population proportion is 0.6456.
b. The probability that the sample proportion will be within ±0.03 of the population proportion is P(-0.08 < p - P < 0.008).
Also, SE(p) = 0.0324
Now, using z score,
P(-0.08 < p - P < 0.008) = P(-0.08/SE(p) < p - P/SE(p) < 0.008/SE(p))
= P(-0.08/0.0324 < Z < 0.008/0.0324)
= P(−2.469135 < Z < 2.469135)
= 2P(0 < Z < 2.469135)
P(0 < Z < 2.469135) = 0.9925 (Using standard table)
So,
2P(0 < Z < 2.469135) = 2*0.9925 = 1.985
Hence, the probability that the sample proportion will be within ±0.03 of the population proportion is 1.985.
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The population of Laredo, Texas, was about
215,500 in 2007. It was about 123,000 in 1990. If we
assume that the population growth is constant and t
represents the number of years after 1990, write a
linear equation with an integer slope to estimate p,
Laredo's population for any year since 1990.
Answer:5441 is the population increase per year and 123,000 is when we start added the population increase. to get this equation i found the population increase between 2007 and 1990 which is 215,500-123,000 which is 92,500. to find the population increase per year you divide that by 17 which is the difference between 2007 and 1990 and you would get 5441.176. but since you can have part of a person i rounded it to 5441.
Step-by-step explanation:
Answer:
The linear equation representing the population growth since 1990 is p = 92t + 123000.
Where p is the population, 92 is the growth rate (215500-123000)/(2007-1990), and t is the years after 1990.
Step-by-step explanation:
what is the proportion for y:
11/y=8/5
rounded the to the nearest tenth
The proportion for y is the value 6.9 to the nearest tenth value.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s. If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Given the proportional relation,
11 / y = 8 / 5
Doing the cross multiplication,
11 × 5 = 8y
55 = 8y
8y = 55
y = 6.875
To the nearest tenth, the value is 6.9.
Hence the y value to the nearest tenth is 6.9
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symbol for sample standard deviation is
Answer:sThe symbol of the standard deviation of a random variable is "σ“, the symbol for a sample is "s". The standard deviation is always represented by the same unit of measurement as the variable in question. This makes its interpretation easier, compared to the variance.
Step-by-step explanation:
What is the ⌊4.5⌋ ? Question 1 options: 4.5, 4, 5, 3
Answer: 4.5
Step-by-step explanation: Those bars are absolute value. Hope it helps, please mark brainliest and give your thanks.
IQ scores are normally distributed with mean mu equals 100 and standard deviation sigma equals 15. Calculate the standard deviation of the sampling distribution using a sample size of 25.
0.6
20.0
3.0
4.0
IQ scores are normally distributed with mean mu equals 100 and standard deviation sigma equals 15. the standard deviation of the sampling distribution is 3.
What is the standard deviation?Generally, The standard deviation of the sampling distribution, also known as the standard error, can be calculated using the formula:
standard error = (standard deviation of population) / (sqrt(sample size)).
In this case, the standard deviation of the population is 15, and the sample size is 25. So the standard error would be:
15 / sqrt(25) = 15 / 5 = 3
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13
Write as a mixed number.
3
Answer: 4 1/3
Step-by-step explanation:
(12 + 1) 3 = 12 3 + 1 3 = 4 + 1 3 = 4 1 3 13 3 = 4 1 3 Hence, 13/3 as a mixed number is 4 1/3
The conservation club has 32 members. There are 18 girls in the club.
What is the ratio of girls to boys in simplest form?
a.7/9
b.9/7
c.9/16
d.7/16
The requried ratio of boys in the club to girls is given as 7/9 or 7:9. Option A is correct.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The conservation club has 32 members. There are 18 girls in the club.
Number of boys = 32 - 18 = 14
Ratio of boys to girls = number of boys / number of girls
= 14 / 18 = 7/9
Thus, the requried ratio of boys in the club to girls is given as 7/9 or 7:9. Option A is correct.
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A helicopter, flying directly over a fishing boat at an altitude of 1200ft, spots an ocean liner at a 15 degrees angle of depression. How far from the boat is the liner.
Answer: The ocean liner is approximately 5.2 miles from the fishing boat.
Diana scored 15 points in her basketball game last week.this week she scored 20% more than last week. how many points did she score this week
Step-by-step explanation:
last week = 15
this week 2o%
therefore =. last WK + this WK = 15×20÷100/1
= 300÷100/1=. 3
Diana scored 3point this week
Drag each symbol to the correct location on the equation. Not all symbols will be used.
Aidan collects leaves for an art project.
• He picks leaves from 8 different trees.
• He picks 12 leaves from each tree.
• He loses 7 leaves on his way home.
Complete the equation to find the number of leaves Aidan has now, n.
•1.
+
8
X
12
Reset
Next
7 = n
The equation to find the number of leaves which Aidan has now, n is given by 8 × 12 - 7 = n.
What is an equation?In Mathematics, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
Next, we would write the equation that gives n, the number of leaves Aidan would have after collecting leaves for an art project as follows:
The number of leaves that Aidan collected from 8 different trees is equal to 8 leaves. Additionally, Aidan picks 12 leaves from each tree to have a total of 96;
n = 8 × 12 = 96.
Lastly, Aidan lost 7 leaves on his way home. Therefore, we would subtract 7 leaves from the total number of leaves that Aidan collected from 8 different trees;
n = 96 - 7 = 89 leaves.
In conclusion, the complete equation is represented by 8 × 12 - 7 = n.
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Find the area of the trapezoid. HELP PLS
Answer:
27 cm^2
Step-by-step explanation:
The formula for finding area of trapezoid:
[tex] \frac{a + b}{2} \times h[/tex]
a and b are bases, h is height[tex] \frac{6 + 12}{2} \times 3 = 27[/tex]
The area is put in square cmSo the answer is 27 cm^2
It's not possible to build a triangle with side lengths of 3, 3, and 9.
O A. True
OB. False
SUBM
Explanation:
The shorter side lengths 3 and 3 add to 3+3 = 6, which is not larger than the remaining side 9. This is why a triangle is not possible.
For a triangle to be possible, we need the sum of any two sides to be larger than the third side. Refer to the triangle inequality theorem.
I recommend making slips of paper that are 3 inches, 3 inches, and 9 inches long (or replace "inches" with "centimeters"). Then try to make a triangle with those slips of paper. You should find such a task is impossible: as mentioned, the 3 inch sides come up short when trying to attach to the 9 inch side.
The statement "It's not possible to build a triangle with side lengths of 3, 3, and 9" is true.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
A triangle cannot be formed with side lengths of 3, 3, and 9.
To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
However, in this case, the sum of the lengths of any two sides is 3+3=6, which is less than the length of the third side, 9.
Therefore, it is not possible to form a triangle with side lengths of 3, 3, and 9.
Thus,
The statement "It's not possible to build a triangle with side lengths of 3, 3, and 9" is true.
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What’s the answer to this
Answer:
see explanation
Step-by-step explanation:
to find the y- intercept, the point where the line crosses the y- axis.
Any point on the y- axis has an x- coordinate of zero.
let x = 0 in the equation and solve for y
- 4(0) + 7 = 2y - 3
0 + 7 = 2y - 3
7 = 2y - 3 ( add 3 to both sides )
10 = 2y ( divide both sides by 2 )
5 = y
then y- intercept = (0, 5 )
to find the x- intercept, the point where the line crosses the x- axis.
Any point on the x- axis has a y- coordinate of zero.
let y = 0 in the equation and solve for x
- 4x + 7 = 2(0) - 3
- 4x + 7 = 0 - 3
- 4x + 7 = - 3 ( subtract 7 from both sides )
- 4x = - 10 ( divide both sides by - 4 )
x = [tex]\frac{-10}{-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex]
then x- intercept = ( [tex]\frac{5}{2}[/tex], 0 ) or (2.5, 0 )
what is negative 3 minus 15
Answer:
-18
Step-by-step explanation:
-3-15=-18
Which is different? Responses Add −4.5 and 3.5 . Add negative 4 point 5 and 3 point 5. What is −4.5 increased by 3.5 ? What is negative 4 point 5 increased by 3 point 5? What is the distance between −4.5 and 3.5 ? What is the distance between negative 4 point 5 and 3 point 5? Find the sum of −4.5 and 3.5 . Find the sum of negative 4 point 5 and 3 point 5. Question 2 Find "both" answers. Answer for the "different" question: Answer for the "same" questions:
The expression that is different from "Add −4.5 and 3.5" will be "What is the distance between negative 4 point 5 and 3 point 5?"
How to illustrate the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator
In this case, the expression that is different from "Add −4.5 and 3.5" will be "What is the distance between negative 4 point 5 and 3 point 5?" This is because finding the distance simply means:
= -4.5 - 3.5
= -8.0
This is different from the initial value.
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please solve the file i will give brainliest
The expression of the weight carried by x hikers is x (3.4 + 4.6 + 2.2).
The weight carried by each hiker is 10.2 lb.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Three items are given.
The weight of each items are 3.4 lb, 4.6 lb, and 2.2 lb.
Now,
The total weight of all the items.
= 3.4 + 4.6 + 2.2
= 10.2 lb
The weight carried by x hikers.
= x (3.4 + 4.6 + 2.2)
= 10.2x lb
The weight carried by each hikers.
= 3.4 + 4.6 + 2.2
= 10.2 lb
Thus,
Weight carried by x hikers is 10.2x lb.
Weight carried by each hiker is 10.2 lb.
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Tabitha is working at a Honda dealership. She will receive 6% commission for each automobile she sells. If she sells 3 cars this week (for $23,000, $13,800, and $25, 760), how much will her commission be?
Answer:
Tabitha's commission would be 6% of the total sales from the three cars
Step-by-step explanation:
which is $(23,000 + 13,800 + 25,760) * 0.06 = $3,638.40
Given: AC¯≅BD¯;AC¯⊥BD¯
1) Is the Parellelogram a square? ___
WRITE THE NUMBER OF THE THEOREMS THAT SUPPORT YOUR ANSWER:
2) AC¯≅BD¯ Theorem? ____
3) AC¯⊥BD¯ Theorem? _____
For the Given Parallelogram: AC¯≅BD¯;AC¯⊥BD¯
The Parallelogram is not a square, the answer is no. AC¯≅BD¯ Theorem - Corresponding sides of congruent figures are congruent (CPCTC).AC¯⊥BD¯ Theorem - opposite angles of a parallelogram are supplementary (Parallelogram Opposite angles Theorem).What is the theorem of the parallelogram?The parallelogram is not a square because the statement "AC¯≅BD¯;AC¯⊥BD¯" means that opposite sides of the parallelogram are congruent and perpendicular but it's not enough to say that the parallelogram is a square, In a square, all four sides are congruent, and the diagonal bisect each other at right angles.
For the first Theorem, AC¯≅BD¯, congruent figures' corresponding sides are congruent(CPCTC) while the AC¯⊥BD¯ Theorem have opposite angles of a parallelogram that is useful (Parallelogram Opposite angles Theorem).
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I need the slope: (2, 1), (-1,-5), and (3,3)
Please and thank you
Answer: 1/2
Step-by-step explanation:
Slope = Δy/Δx = -3/-6 = 1/2
I need help plssss I need to pass this
Answer:
the growth factor of the initial amount is correct
The value of information is directly linked to how it helps decision makers achieve the organization's goals.
The value of information is directly related to how it assists decision makers in achieving the goals of the company. -Differentiate data from information and define the features used to assess data quality.
The value of information in decision analysis is the improvement in the consequences of our actions that we would expect if we could minimise or remove uncertainty before making a choice.
The value of information is determined by the influence of a choice on achieving the organization's goals and enhancing its profit-ability.
Management information systems give information on the organization's relative position and the underlying factors at work. It offers the necessary information for decision making and assists businesses in carrying out their control, planning, and operational activities successfully.
The interaction between information systems and decision making is a major problem in the subject of information systems (IS).
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(m² - +1/2)
n²_
m
1
+2)
(n + 1/1/12 ) " -
(m- // )
n-m
m-n
The proof of the given question is given in the solution as follows
What is a factorization example?A technique for factoring a number or a polynomial is called factorisation. The polynomials are divided into the sums of their component parts. As an illustration, x2 + 2x may be factored as x(x + 2), where x and x+2 are the factors that can be multiplied to obtain the original polynomial.
What are the 5 types of factorization?The six types of factoring are: greatest common factor, difference in two squares, grouping, sum or difference in two cubes, trinomials, and general trinomials.
In the given equation
we separate m2-1/n2 to (a+b)(a-b) form
and hence we get the answer as
(n+1/m)^m-n/(m-1/n)^m-n
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I need help with this question. I have attached a screenshot of this question.
Answer:
Not a lot of information given but if you are looking for the difference in price it is 31 CHF
It is 31 more CHF in Manchester than in Switzerland.
Step-by-step explanation:
1.55(145) = 224.75
224.75-193.75 = 31
Which expression represents the distance between 4.7 and −11.2 on the number line?
Drag and drop the correct expression into the box.
30 points to answer!
Answer:
Option A or 1 or |-11.2 -4.7|
Step-by-step explanation:
Calculate the distance :
distance =
| 4.7 - (- 11.2) | =
| 4.7 + 11.2 | =
| 15.9 | =
15.9.
Should help
Answer:
|-11.2 -4.7|
Step-by-step explanation:
You want the expression that represents the distance between 4.7 and -11.2 on a number line.
DistanceThe distance on a number line is the positive difference between the coordinates of the points. Here, that would be either of ...
|4.7 -(-11.2)|
or
|-11.2 -4.7| . . . . . . matches an answer choice
__
Additional comment
Note that when we subtract the left coordinate from the right coordinate, the difference is already positive, so no absolute value function is needed.