Solving the Question
The frequency tells us how many times the integer appears in the set of numbers.
The integer tells us the numbers that appear in the set of numbers.
To find the mean, we add up all the numbers in the set and divide the sum by the number of integers.
Let's write the information on the graph as a list of numbers:
0, 1, 2, 3, 3, 3, 4, 4, 6, 7, 8, 10
Find the sum:
51
Divide the sum by the number of integers (which is 12):
51/12
= 4.25
AnswerThe mean is 4.25.
QUICK whoever gives correct answer gets brainliest
Multiply and simplify. y^3 . y^5 . y^-2 .y
A. y^-4
B. 1/y^4
C. y^-5
D. 1/ y^3
Answer:
y^7
Step-by-step explanation:
y^3 . y^5 . y^-2 . y
= y^3 . y^5 . y^-2 . y^1
= y^( 3 + 5 - 2 + 1 )
= y^( 3 + 5 + 1 - 2 )
= y^( 9 - 2 )
= y^7
Phil gets a commission of 25% on all sales. He sold $1,500.00 worth of goods. What was the amount of his commission check?
$37.50
$375.00
$3,750.00
$37,500.00
Answer:
the answer is 375.00 please leave a thanks id love that
Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula \(y = mx + b\). We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula \(m = \frac{y_2-y_1}{x_2-x_1}\) and substitute the x and y values of the given points into it. Then, simplify to find the slope, or \(m\):
\(m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1\)
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula \(y-y_1=m(x-x_1)\) and substitute values for \(m\), \(x_1\), and \(y_1\). From there, we can convert the equation into slope-intercept form.
Since \(m\) represents the slope, substitute 1 in its place. Since \(x_1\) and \(y_1\) represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:
\(y-3=1(x-0)\\y-3 = x\\y = x + 3\)
what is the greatest common factor 12,28, and 4
Answer:
The greatest common factor of 12, 28, and 4 would be 4.
Step-by-step explanation:
We will now calculate the prime factors of 28 and 12, than find the greatest common factor (greatest common divisor (gcd) of the numbers by matching the biggest common factor of 28 and 12.
The greatest common factor between 12, 28, and 4 is 4.
The highest common factor (HCF) or greatest common factor (GCF) is discovered by identifying all common factors of two integers and then picking the greatest one. For example, the common factors of 8 and 12 are 1, 2, and 4. The greatest common factor is four.
The given numbers can be written in the factors form as,
12 = 1 × 2 × 2 × 3
28 = 1 × 2 × 2 × 7
4 = 1 × 2 × 2
Now, the common factors between the given three numbers is (1 × 2 × 2).
Therefore, the Highest common factor between the three given numbers is,
HCF = 1 × 2 × 2 = 4
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Kyle earns 11.2% commission on his sales at the electrical retail store. He made sales worth $8571 this month. how much commission has he earned? Give your answer to the nearest dollar.
Answer:
Sales=8571$
Commission=11.2% of Sales
=11.2/100 × 8571$
=(11.2×8571)/100 $
=959.952$ Which is nearly equal to 960$.
*mark me brainliest
−9+ p =12 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
Add 9 to both sides of the equation.
p=12r+9
Step-by-step explanation:
The answer is 21.
Have a good day!
Is there any bias in the survey question? Explain.
What do you think would help students pay more attention in class?
SOMEONE PLEASE HELP!!!
Answer:
yes
Step-by-step explanation:
because everyone has a different method that works for them.
but then again it uses the pronoun you which means its asking for your opinion its not phrased
what would help študents pay more attention in class
so yes and no
HELP HELP HELP PLEASE
Answer:
Put your dot on 7/4 and then then -1 means you will go left 1 time and down 1 time 1 left 1 down it should look like a staircase
Step-by-step explanation:
If sin=-1/5 and cos > 0 find cot
well, the hypotenuse is always a positive value, since it's just the distance from the center to the arc in a circle or between two points, so is never negative, hmmm we know the sine is -1/5, and we also know the cosine is >0, which is another way to say is positive, hmmm let's use that, keeping in mind that the sine is negative and the cosine positive only in the IV Quadrant.
\(sin(\theta )=\cfrac{\stackrel{opposite}{-1}}{\underset{hypotenuse}{5}}\impliedby \qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\)
\(\pm\sqrt{5^2 - (-1)^2}=a\implies \pm\sqrt{24}=a\implies \stackrel{IV~Quadrant}{+\sqrt{24}=a} \\\\[-0.35em] ~\dotfill\\\\ cot(\theta )=\cfrac{\stackrel{adjacent}{\sqrt{24}}}{\underset{opposite}{-1}}\implies cot(\theta )=-\sqrt{24}\)
Solve the systems and show your working
Answer:
(3,0)
Step-by-step explanation:
7)
y = - 2x + 6
3y - x +3 =0
3(-2x+6)-x+3=0
-6x+ 18 -x+3=0
-7x+21=0
-7x+-21
x=3
y=-2(3)+6
y=-6+6
y=0
describe the graph of the solution
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
Which Doesn't Belong?: Which one does not belong? Identify the fraction that does not belong with the other three. Explain your reasoning. 1/8 1/4 4/5 1/6
What is the axis of symmetry of the proabola
What are the solutions of the equation 9x4 2x2 7?
The Solution of the 9x⁴ – 2x² – 7 = 0 is x = ±1, ±i √(7/9)
What are the quadratic equations?
A quadratic equation is a type of polynomial equation with degree 2 (the highest power of the variable is 2). Quadratic equations have the general form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
9x⁴ – 2x² – 7 = 0
Let's say that u = x²:
9u² – 2u – 7 = 0
Factor:
(u – 1) (9u + 7) = 0
u = 1, -7/9
Since u = x²:
x² = 1, -7/9
x = ±1, ±i √(7/9)
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A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 5 centimeters and a width of 3 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 2:8?
4 cm
10 cm
16 cm
64 cm
Answer:10 cm
Step-by-step explanation:
Answer:B 24 cm
Step-by-step explanation:
Giving brainlist to whoever answers
Answer:
false
Step-by-step explanation:
False
5(9)(3.2)
45*3.2=144
Hope this helps :)
Simplify each trigonometric expression. cosθ+sin θtan θ
The simplified form of cosθ + sinθtanθ is secθ. This simplified expression, secθ, represents the same value as the original expression but in a more concise and simplified manner.
To simplify the trigonometric expression cosθ + sinθtanθ, we can use trigonometric identities and properties to rewrite the expression in a more simplified form.
First, let's consider the trigonometric identity for tangent:
tanθ = sinθ/cosθ
Substituting this into the given expression, we have:
cosθ + sinθtanθ = cosθ + sinθ(sinθ/cosθ)
Next, we can simplify the expression by combining like terms and multiplying:
= cosθ + sin^2θ/cosθ
To combine these terms, we need to have a common denominator. So, we multiply cosθ by cosθ/cosθ:
= (cos^2θ + sin^2θ)/cosθ
Using the Pythagorean identity sin^2θ + cos^2θ = 1, we can simplify further:
= 1/cosθ
Finally, we can simplify 1/cosθ using the reciprocal identity for cosine:
= secθ
Therefore, the simplified form of cosθ + sinθtanθ is secθ.
In summary:
cosθ + sinθtanθ simplifies to secθ.
By applying trigonometric identities and properties, we transformed the given expression into a simpler form using the reciprocal identity for cosine. This simplified expression, secθ, represents the same value as the original expression but in a more concise and simplified manner.
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evaluate the following absolute value expression |-6 |
Answer:
6
Step-by-step explanation:
|-6| = 6
Answer:
6
Step-by-step explanation:
you can also understand absolute value as the distance in the number line from -6 to 0
and that's 0-(-6)
=6
so
|-6|=6
Why is it important that algorithms be executed in a reasonable time?
Algorithms should be executed in a reasonable time because when an algorithm takes too long to execute, the user may lose interest, and it may not be useful for real-time applications.
As a result, the algorithm's performance should be as good as possible so that the user does not have to wait a long time to get the answer. Additionally, as the number of data sets grows, an algorithm's execution time grows exponentially, making it more difficult to process more significant data sets.
The goal of an algorithm is to accomplish a specific task. When an algorithm can perform a task quickly and efficiently, it is considered successful. The performance of an algorithm can be measured in terms of its execution time, also known as runtime. The runtime is the time it takes for an algorithm to complete its task from start to finish.
A reasonable time for an algorithm is critical since it decides the algorithm's effectiveness in achieving its goal. In general, algorithms must be effective and accurate, but they must also be quick and efficient. If an algorithm does not execute efficiently, it may be useless to the user because it may not be able to process large data sets quickly or in real time.
Algorithms must be executed in a reasonable time to ensure the algorithm's effectiveness and user satisfaction.
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Calculate the axis of symmetry in the equation Y = (x+1) (x-4)
Come on anyone please helppppppp.
Answer:
Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points
x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation
y=(x+1)(x-4)
=x^2-3x-4
a is 1,b is -3 and c is -4
x= -(-3)/2(1)
=1.5
and y=x^2-3x-4
=1.5^2-3(1.5)-4
= -6.25
therefore the axis of symmetry is (1.5,-6.25)
I hope this helps
Find the equation of the line that contains the point (-5,-3) and is parallel to the line 5x+6y=11. Write the equation in slope-intercept form,if possible.
Answer:
y = -5x/6 - 33/6
Step-by-step explanation:
The standard form of equation of a line in point slope form is y - y0 = m(x - x0)
m is the slope
(x0, y0) is the point on the line
First we need the slope of the given equation 5x+6y=11.
Rewrite in standard form;
5x+6y=11
6y = -5x + 11
y = -5/6 x + 11/6
Hence the slope is -5/6
Since the unknown line is parallel to this line, they will have the same slope, hence the slope of the required line is -5/6
Substitute m = -5/6 and the point (-5,-3) into the point-slope expression;
y - y0 = m(x - x0)
y - (-3) = -5/6 (x - (-5))
y + 3 = -5/6(x+3)
6(y+3) = -5(x+3)
6y+18 = -5x - 15
6y+5x =-15 -18
6y+5x =-33
Express in slope intercept form
6y = -5x - 33
y = -5x/6 - 33/6
50 POINTS. WILL MARK BRAINLIEST. Write a short paragraph describing the career and music of one of the following composers. Be as specific as possible. (5 pts.)
a. Hildegard von Bingen
b. Guillaume de Machaut
The Saint Hildegard of Bingen stood out in the Middle Ages for her great knowledge in different fields and her extensive written production.
Who was Hildegard von Bingen?Saint Hildegard of Bingen (1098-1179), was a German nun belonging to the Order of Saint Benedict who stood out for performing multiple functions, among which are:
ComposerWriterPhilosopherScientificAmong other.Hildegard stood out for being one of the most influential personalities of the Late Middle Ages due to her remarkable intelligence and culture that led her to be one of the most productive writers of her time and to develop varied knowledge of natural history.
Much of her work (including her musical compositions) is found in her best known work called "Wiesbanden Codex" or "Riesencodex".
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what is the answer help!!1!!!!111!!
Answer:
15x
Step-by-step explanation:
50x - 35x= 15x
15x = 375
And if you simply further
375/15=25
So x=25
Answer:
15x = 375
Step-by-step explanation:
50x = 35x + 375
50x - 35x = 375 (we place 35x in the left side of the equation, because the left side is for x's, and the right one is for basic numbers. Since it is a positive number in the right side, in the left side it becomes an opposite number, so it will -35x)
15x = 375 / : 15 (we subtract 35x from 50x)
x = 25
2x + 2= -3
What is the answer
Answer:-1/2
Step-by-step explanation:2x + 2 = -3 Subtract 2 on both sides so the equation would then be 2x + -1. Then you put 2x over 1 as a fraction then u flip the fraction which would be called reciprocal then multiply -1 times 1/2x which equals -1/2 and as a decimal it would be - 0.5
How can we ensure that we choose a sample of students that is representative of all 8:00 am classes that take place on a given morning?
By using a sampling technique we ensure that we choose a sample of students that is representative of all 8:00 am classes.
There are varieties of sampling strategies: chance sampling includes random selection, permitting you to make sturdy statistical inferences approximately the complete organization. Non-opportunity sampling entails non-random selection primarily based on convenience or different standards, permitting you to without problems gather records.
Random sampling is part of the sampling technique wherein every sample has an same possibility of being chosen. A sample chosen randomly is meant to be an unbiased representation of the overall population.
explanation;
we conclude the
6 buildings in the college 4 lecture halls in each building100 students in each lecture hallSince the students' lecture hallsare on different building the samples are
Dividing the students into groups, the students will be grouped by the buildings of their lecture halls.
The number of students in each building is:
There are 100 students in each building
Then select at random an equal proportion of student from each building let 20 students in each building.
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Solve for x: 4(x + 2) = 3(x - 2)
-2
-4.
-10
O-14
Answer:
4(x+2)=3(x-2)
Step-by-step explanation:
4x+8=3x-6
4x-3x=-8-6
x=-14
if cos a=0.845 and cos b=0.789 with both angles terminal rays in quadrant 1, find the values of sin(a b) cos (a-b)
Using the given values, we can evaluate sin(a+b) to be approximately 0.656 and cos(a-b) to be approximately 0.308.
First, we can use the identity sin^2θ + cos^2θ = 1 to find sin a and sin b:
sin a = √(1 - cos^2a) ≈ 0.534
sin b = √(1 - cos^2b) ≈ 0.615
Next, we can use the sum and difference identities to find sin(a+b) and cos(a-b):
sin(a+b) = sin a cos b + cos a sin b = 0.656
cos(a-b) = cos a cos b + sin a sin b =0.308
Finally, we can use the identity cos^2θ + sin^2θ = 1 to find cos a and cos b:
cos a = √(1 - sin^2a) =0.846
cos b = √(1 - sin^2b) =0.785
Therefore, using the given values, we have found that sin(a+b) is approximately 0.656 and cos(a-b) is approximately 0.308.
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On Thursday it snowed 3 ½ inches in 4 hours. On Friday it snowed 8 inches in 9 hours. On which day was it snowing faster?
Answer:
Friday
Step-by-step explanation:
Thursday 7/2 ÷ 4 = 7/8 inches an hour (.875)
Friday 8 ÷ 9 = 8/9 inches an hour (.888)
Friday it was snowing faster
Answer:
Friday
if Thursday snowed 3½ inch 4 hours
then for Friday
9 ÷ 8 = 1.125 inches for one hour
1.125 × 4 = 4.5 inches for 4 hours
1.25 inches more than Thursday. So, the answer is Friday ^^
suppose a sample of 211 tankers is drawn. of these ships, 146 did not have spills. using the data, construct the 80% confidence interval for the population proportion of oil tankers that have spills each month. round your answers to three decimal places.
We can use the sample proportion of tankers without spills (146/211 = 0.692) to estimate the population proportion of tankers without spills. To construct the confidence interval, we need to find the margin of error and the critical value for an 80% confidence level.
Follow these steps:
1. Calculate the sample proportion:
In the sample of 211 tankers, 146 did not have spills, so 211 - 146 = 65 tankers had spills. The sample proportion (p-hat) is the number of tankers with spills divided by the total sample size:
p-hat = 65/211 ≈ 0.308
2. Determine the z-score for an 80% confidence interval:
Using a z-table or calculator, the z-score for an 80% confidence interval is approximately 1.282.
3. Calculate the standard error:
The standard error (SE) can be calculated using the formula: SE = sqrt(p-hat*(1-p-hat)/n)
SE = sqrt(0.308*(1-0.308)/211) ≈ 0.030
4. Construct the confidence interval:
Lower limit = p-hat - (z-score * SE)
Upper limit = p-hat + (z-score * SE)
Lower limit = 0.308 - (1.282 * 0.030) ≈ 0.277
Upper limit = 0.308 + (1.282 * 0.030) ≈ 0.339
So, the 80% confidence interval for the population proportion of oil tankers that have spills each month is approximately (0.277, 0.339), rounded to three decimal places.
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