Answer:
2,5,8,11,14,17,20
Description: Each time there was an addition of 3 onto each 'y'.
Step-by-step explanation:
+3 to the last one each time
2+3=5
5+3=8 etc
How do you get the statistical notation?
The new curriculum significantly affects the earning potential.
According to the question, Eight kids were chosen at random to take part in a brand-new educational program that emphasizes both academics and mental health education between middle school and high school. The average annual income is $29432. The standard deviation is unknown.
The probability level is given to be 5%.
When the p-value is less than or equal to your significance level, reject the null hypothesis. The alternative theory, which contends that the effect is widespread, is supported by your sample data.
A probability level of 0.05 means that the new curriculum significantly affects the earning potential.
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A furnace is designed to heat a 10,000 cubic feet of space. Will this furnace be adequate for a 1,400 square foot house with a 9foot ceiling.
To determine whether the furnace will be adequate for a 1,400 square foot house with a 9-foot ceiling, we need to calculate the volume of the house and compare it to the volume the furnace is designed to heat.
The volume of the house can be found by multiplying the square footage by the ceiling height:
1,400 sq ft x 9 ft = 12,600 cubic feet
Since the furnace is designed to heat 10,000 cubic feet, and the house has a volume of 12,600 cubic feet, the furnace may not be adequate for heating the house. The furnace is not capable to heat the entire house.
Statements:
A lullaby is a song.
No song is prose.
Some proses are epics.
Conclusions:
1. Some proses are songs.
II. Some epics are lullabies.
III. Some songs are lullabies.
A)Only Il follows
B)Only I follows
C)Only III follows
D) Neither of I, II or III follows
Answer:
Answer:
C)Only III follows
Step-by-step explanation:
Let's review the conclusions;
I. Some proses are songs.
This is false because of the statement; No song is prose.
II. Some epics are lullabies.
This is false because of the following statements; A lullaby is a song. and No song is prose.
III. Some songs are lullabies.
This follows because of the statement; A lullaby is a song.
The correct option is;
C)Only III follows
The correct conclusion based on the logical statements is C) Only III follows.
Logical Statements:1. A lullaby is a song.
2. No song is prose.
3. Some proses are epics.
Possible Conclusions:I. Some proses are songs.
II. Some epics are lullabies.
III. Some songs are lullabies.
The first conclusion that some proses are songs is not sound because the earlier claim is that "no song is prose." In the same light, the second conclusion is incorrect because a lullaby is usually a song as asserted in statement 1. While epics can be prose or poem, a lullaby is not prose but a poem or a song.
Thus, the correct conclusion based on the logical statements is C) Only III follows.
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A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class. Write an equation that represents the total cost of the membership.
The equation that represents the total cost of the membership will be y = 5x + 265.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.
Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,
y = 5x + 265
The equation that represents the total cost of the membership will be y = 5x + 265.
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Jill buys a box of cookies; there are 32 cookies in the package, total. One fantastic Friday night, Jill eats 12
cookies
(3) What is the fraction of cookies that Jill has eaten? Please write your fraction in
its most simplified form. in the response section below. Use a slash (/) to
denote your fraction.
Your answer
Rashaad has
x
x dimes and
y
y nickels, having no less than 18 coins worth at most $1.50 combined. At least 4 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution.
Answer:
see attached for a graph4 dimes, 22 nickelsStep-by-step explanation:
You want to solve graphically the system of inequalities expressing that Rashaad has no less than a total of 18 dimes (x) and nickels (y) with a combined value of at most $1.50, of which at least 4 are dimes.
InequalitiesAn inequality can be written for each of the constraints:
x + y ≥ 18 . . . . . . . no less than 18 coins
0.10x +0.05y ≤ 1.50 . . . . . . at most $1.50 in value
x ≥ 4 . . . . . . . . . . at least 4 dimes
GraphA graph of these inequalities is attached. The marked points are the vertices of the triangular solution space. Each is a possible solution, along with all of the grid points inside the triangle.
One possible solution is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.
Using graph to solve the system of linear inequality the most likely solutions will be 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50
What is System of Linear InequalitySystems of linear inequalities are equations with two or more linear inequalities that contain two or more variables. These equations can be used to represent real-world problems and to find the solutions of such problems. The solutions of a system of linear inequalities are all the points that are common to all of the linear inequalities in the system.
In this problem, we have to define our variables and then solve this using graphical method. The point of intersection between the two lines lies the solution to the linear inequality.
Let;
x = dimesy = nickelx + y ≥ 18
0.1x + 0.05y ≤ 1.50
x ≥4
Using a graphing calculator to solve this,
The possible solutions is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.
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Evaluate the piecewise function
The solution of the composite function fog(x) = 3x + 3 at x > 2.
What is composite function?Let the two function f(x) and g(x) generate a new function h(x) using an operation.
The operation is composition of functions and h(x) is a composite function.
We have three piecewise function.
First we have to show that,
the composite function,
fog(x) at x > 2.
For that,
g(x) at x > 2 is,
g(x) = 3x.
Now, f(g(x)),
= f(3x)
= 3x + 3 at x > 2.
Therefore, the function is fog(x) = 3x + 3.
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The complete question:
Find the fog(x) at x > 2
The two-way frequency table given shows the results from the sandwich orders from a school picnic.
9th and 10th Graders 11th and 12th Graders
Turkey 112 150
Ham 64 58
Vegetarian 24 32
A segmented bar chart was created showing the lunch preference by grades. What percent would the bar for 11th and 12th graders show for preferring a ham sandwich?
58%
47.5%
24.2%
12.9%
Percentage of 11th and 12th graders preferring Ham sandwich is 24.2%
Correct option is C.
What is two way frequency distribution?A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.
Given, table
9th and 10th Graders 11th and 12th Graders
Turkey 112 150
Ham 64 58
Vegetarian 24 32
Number of total 11th and 12th graders
= 150 + 58 + 32
= 240
Number of 11th and 12th graders preferring ham sandwich
= 58
percentage of 11th and 12th graders preferring ham sandwich
= (58/240)×100
= 0.242 ×100
= 24.2%
Hence, 24.2 percent 11th and 12th graders prefer ham sandwich.
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Which equation is equivalent to x + 8 = 21?
A. (x + 8) × 4 = 21
B. (x + 8) × 4 = 21 ÷ 4
C. (x + 8) × 4 = 21 × 2
D. (x + 8) × 4 = 21 × 4
The equation that is equivalent to x + 8 = 21 is (x + 8) × 4 = 21 × 4
Given the equation
x + 8 = 21To get a similar expression we will either subtract, multiply, divide or add the same constant to both sides of the equation
Multiplying both sides by 4 will give:
x + 8 = 21(x + 8) * 4= 21 * 4Hnce the equation that is equivalent to x + 8 = 21 is (x + 8) × 4 = 21 × 4
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I really need to know how to solve this type of problems
Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.
How to calculate the quantity of shirts that are red.?The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts
The total quantity of red shirt selected at random = 5
The total quantity of blue shirt selected at random = 13
The total quantity of grey shirt selected at random = 12
Total selected at random = 30
Now if 5 red shirts = 30
X red shirts = 250
make X the subject of formula;
X = 15× 250/30
X = 3750/30
X = 125 red shirts.
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Expand and simplify completely
\(x(x+(1+x)+2x)-3(x^2-x+2)\)
Answer:
x² + 4x - 6
Step-by-step explanation:
x(x + (1 + x) + 2x) - 3(x² - x + 2) ← simplify parenthesis on left
= x(x + 1 + x + 2x) - 3(x² - x + 2)
= x(4x + 1) - 3(x² - x + 2) ← distribute parenthesis
= 4x² + x - 3x² + 3x- 6 ← collect like terms
= x² + 4x - 6
In July 2005, the journal Annals of Internal Medicine published a report on the reliability of HIV testing. Results of a large study suggested that among people with HIV, 99.7% of tests conducted were correctly positive, while for people without HIV, 98.5% of tests conducted were correctly negative. A clinic serving an at-risk population offers free HIV testing, believing that 15% of the patients may actually carry HIV. What's the probability that a patient testing negative is truly free of HIV?
The probability that a patient with a negative result is truly HIV-free is 0.999.
How to find the probability that the negative result is correct?To find the probability that confirms that the result of the HIV test is negative, we must take into account the information provided in the information and perform the following mathematical operation.
The probability that No HIV and test positive is:
P = 0.85 * 0.985
P = 0.8372
The probability that HIV and test negative is:
P = 0.15 * 0.003
P = 0.00045
The probability that No HIV and negative test of HIV and negative test is:
P = 0.00045 + 0.8372
P = 0.8377
P = (NOT HIV / Test)
P = 0.8372 / 0.8377
P = 0.999
According to the above, the probability that a patient with a negative result is truly HIV-free is 0.999.
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The ratio of the sum of two positive integers to their difference is 7:5. If the sum of the two numbers is at most 25, find all possible values for the pair of numbers.
Step-by-step explanation:
Ohk
that means that the sum of the two numbers are 25
so
to get the first number:
\( \frac{7}{5} \times 25 = 35\)
And to get the second number:
\(\frac{5}{7} \times 25 = \frac{125}{7} \)
solve for 8v = 3v + 25
Answer:
v = 5
Step-by-step explanation:
Collect like-terms:
\(8v = 3v + 25\)
\(8v - 3v = 25\)
\(5v = 25\)
Divide both sides by 5 to make v the subject:
\(v = 5\)
original price is 45 and the new price is 56 what is the percent change
Answer:
podés hacerlo de varias formas cra
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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If the length of the pool is 14 1/2 feet, the width is 6 1/2 feet, and the depth is 6 1/2 feet, what is the volume of the pool? The book shows the answer as 612 5/8 please show work
now, we're making an assumption that's a rectangular prism pool, so the volume is simple the product of length and widh and height, which we have, let's convert them all to improper fractions.
\(\stackrel{mixed}{14\frac{1}{2}}\implies \cfrac{14\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{29}{2}}~\hfill \stackrel{mixed}{6\frac{1}{2}} \implies \cfrac{6\cdot 2+1}{2} \implies \stackrel{improper}{\cfrac{13}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{length}{\cfrac{29}{2}}\cdot \stackrel{width}{\cfrac{13}{2}}\cdot \stackrel{depth}{\cfrac{13}{2}}\implies \cfrac{4901}{8} \\\\\\ \cfrac{4896+5}{8}\implies \cfrac{4896}{8}+\cfrac{5}{8}\implies 612+\cfrac{5}{8}\implies 612\frac{5}{8}\)
HELP ME OUT PLEASE!!!
4) What is the volume of the cone in terms of pi?
Volume of the cone = 1/3 x base area x height
so
V = 1/3 x pi x r² x h = 1/3 x pi x 2² x 6 = 8 x pi
City A
City B
55
60
90
95
63
80 85
Noon temperature (in Fahrenheit)
(a) Which city had the highest noon temperature?
'Choose one'
(b) Which city had a larger median noon temperature?
'Choose one
(c) Which city had noon temperatures with a larger
interquartile range (IQR)?
Choose one
(d) Which city had more noon temperatures above 78 °F?
'Choose one'
Explanation
Check
All Rights
Answer:
a. City B
b. City A
c. City A
d. City A
Step-by-step explanation:
a. Max temperature for City A = 84°F
Max temperature for City B = 86° F
Therefore, City B has the highest noon temperature
b. City A median noon temperature = 80°F
City B median noon temperature = 72°F
Therefore, City A has the larger median noon temperature.
c. City A IQR = 83 - 75 = 8
City B IQR = 77 - 70 = 7
Therefore, City A has noon temperatures with a higher IQR
d. The median of City A is greater than 78°F, this means about half of its noon temperature are more than 78°F, therefore, City A had more noon temperatures above 78°F compared to City B.
Complete the equation to show tvo equivalent expressions
2-49-21=
Answer:
- 68 is the answer.............
1. Find (f-g)(x) if f(x)=4x²-5x and g(x)=3x²+6x-4.
(f-g)(x)=x²-11x+4
(f-g)(x)=-x²-x⁴
(f-g)(x)=7x²+x-4
(f-g)(x)=-x²+11x-4
The correct option is A (f-g)(x)=x²-11x+4
What exactly are function and example?
A rule is something that produces one output from one input, such as a function. Alex Federspiel was the source of the image. As an illustration, consider the equation y=x2. For every x input, there is only one y output. The fact that x is the input value leads us to say that y is a function of x.
Which four sorts of functions are there?
The classification of various types of functions can be done using four primary categories. All functions are based on the element: one to one, many to one, onto, one to one, and into.
Given that:
f(x)=4x²-5x
g(x)=3x²+6x-4
(f-g)(x)=x²-11x+4
Option a is correct
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The company also has plans to open a third obstacle course, The Gridiron, where the first three checkpoints will have coordinates A′′(0,−5), B′′(9,−5), and C′′(4,−5). What relationship could this location have to the previous locations? Select all answers that apply.
Answer: It is a reflection of Reflections of You (second location) in the x-axis.
Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.
The correct answer is:
It is a reflection of Reflections of You (second location) in the x-axis.
The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.
A printer can print 12 pages in 9 seconds. What is the closet estimate of the number of pages it can print in one minute
A pack of gum that comes with 35 pieces is $2.88 how much is one piece of gum? (unit price)
Answer:
0.08
Step-by-step explanation:
how do you solve quadratic using square roots?ex: 1/5x²+2=3/5x²
Use the graph of y=x^2-5x-2 to find estimates of the solutions to the equation -4=x^2-5x-2
By using graph of function y = x² - 5x - 2, the solution of the equation
- 4 = x² - 5x - 2 are,
⇒ (2, - 4) and (3, - 4)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The equation is,
⇒ y = x² - 5x - 2
⇒ - 4 = x² - 5x - 2
Now, We can draw the graph of function y = x² - 5x - 2 as shown in figure.
Then, For equation - 4 = x² - 5x - 2;
Value of y = - 4
Hence, By the graph of y = x² - 5x - 2 we can see that at y = - 4 there are two value of x;
⇒ x = 2, 3
Thus, By using graph of function y = x² - 5x - 2, the solution of the equation - 4 = x² - 5x - 2 are,
⇒ (2, - 4) and (3, - 4)
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Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.
From the resulting solution, the correct linear inequality graph is Graph C.
Solving inequality expressionGiven the inequality equation below:
2(2x-1)+7< 13 or -2x+5 ≤ -10.
Simplify the expression
2(2x-1)+7< 13
Expand
4x - 2 + 7 < 13
4x + 5 < 13
4x < 13 - 5
4x < 8
x < 2
For the inequality -2x+5 ≤ -10.
-2x+5 ≤ -10
-2x ≤ -15
x ≥ 7.5
Hence the solution to the given system of inequalities are x < 2 and x ≥ 7.5
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PLEASE HELP NO LINKS PLEASE In a certain town, 62% of the residents enjoy riding roller coasters. Alfred takes a sample of 75 residents from this, town. What is the probability that fewer than 58% of the residents in the sample enjoy riding roller coasters? Find the z-table here. O 0.238 O 0.433 O 0.714 O 0.762
Answer:
Option B
Step-by-step explanation:
Here ,
The mean value is 0.62
Z value formula is
z = (x' -mean)/(sigma/sqrt (n))
Substituting the given values, we get -
sigma = Sqrt {(x'-mean)^2/n}
Sigma = sqrt { (0.58-0.62)^2/75} = 0.09
z = (0.58-0.62)/(0.09)
z = -0.433
Hence, option B is correct
Answer:
im choosing A cause my answer shows 0.238 ill let yall know what i get
Step-by-step explanation:
I got a hundred
Standard Dev: 0.05604
0.58-0.62 / 0.05604 = (Z-Score) -0.713
Determine the component representation and magnitude of the vector having the initial point P and the terminal point Q.
P(-3,2) and Q(5,17)
The component representation of the vector having the initial point P and the terminal point Q is....
The magnitude of the vector having the initial point P and the terminal point Q is ....
The magnitude of the vector having the initial point P and the terminal point Q is 17.
What is magnitude ?
Simply said, "distance or amount" is the definition of size. In terms of motion, it shows the absolute or relative size, direction, or movement of an item. It is used to describe something's size or scope. Magnitude in physics often refers to a size or amount.
Given: p (- 3,2) , q (5,17)
vector = (17-2)i + (5+3)j
= 15i + 8j
Magnitude = \(\sqrt{(15^{2}+8^{2} ) }\)
magnitude =17
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What is 13% of the number 70?
Answer:
9.1
Step-by-step explanation:
(13*70)/100
Answer:
9.1Explanation:
13/100 with 70 = (13÷100)*70= (13*70)÷100=9.1
hope this helps.