Answer: 1223.07
Step-by-step explanation: you don't round up
For a standard normal curve, find the z-score that separates the bottom 70% from the top 30%.
Using the normal distribution, the z-score that separates the bottom 70% from the top 30% is z = 0.525.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The z-score that separates the bottom 70% from the top 30% is z with a p-value of 0.7, hence z = 0.525.
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Many newspapers carmy a certain purzile in which the reader must unsoramble leers to form words how many warys cam the letters of whyrot be aranged? Deny the coret unscrambling, then detemine the probability of getting that result by randomly selecting one amangement of the given lts how may ways can the lefters of whyrot be armanged 720. What is the cormect unscrambling of whyrot o a worthy o c. Rothwy o d. Thyrow.
The correct unscrambling of whyrot is worthy.
What is unscrambling?A word unscrambler is essentially a gadget that you feed all the letters into and it rearranges them to reveal all potential word combinations.Some might be concerned that this is a cheating method. However, if everyone playing the game has the option of using a word unscrambler, then the playing field is unquestionably even.A player may opt not to use the word generator and instead come up with their own list of terms. Having said that, they might want to utilize it afterward to assess their performance and review the entire list of terms they could have used.To learn more about unscrambling with the given link
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what is the next word in the pattern below?
Fall, Winter, Spring, Summer, Fall, __, ...
A. Winter
B. Summer
C. Spring
D. Fall
The answer is A. Winter.
As the pattern is : F, W, Sp, Su, F... (letters used for convenience), then the next word in the pattern will be Winter, because that was shown in the previous sequence.
The diameter of a circle is 8mm. What is the circumference of the circle?
Answer: 8π mm (in terms of π)
Step-by-step explanation:
1) The formulas for solving the circumference of a circle is πd (π times diameter).
2) 8 times π equals 8π mm.
Hopes this helps!
Answer:
12.56 [tex]mm^{2}[/tex]
Step-by-step explanation:
c = 2[tex]\pi[/tex]r
or c =[tex]\pi[/tex]D
The diameter is the measure of a line segment going from one side the circle to the other and going through the middle of the circle. A radius is a line 1/2 a diameter. It is a line segment that goes from the center of a circle to a point on the edge of the circle.
C = (3.14)(4)
C = 12.56
A hydrogen atom has one positively charged proton and one negatively charged electron.
Write an addition equation to represent how their charges combine to make the overall charge of the atom.
The addition equation to represent how their charges combine to make the overall charge of the atom is + 1 + - 1 = 0
How to write equation to represent charges of atom?A hydrogen atom has one positively charged proton and one negatively charged electron.
An atom of every elements has an electron(negatively charged) and positively charge(proton) part.
An atom as a whole is electrically neutral if the number of proton and electron are equal. They will cancel each other to make the atom neutral.
Therefore, the addition equation to represent how their charges combine to make the overall charge of the atom is as follows;
+ 1 + - 1 = 0
1 positively charged proton plus single negatively charged electron = zero(neutral)
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A parabola with a vertex at (0,0) has a focus along the negative part of the x-axis. which could be the equation of the parabola?
Answer:
y^2 = -8x for example.
Step-by-step explanation:
General form is y^2 = -4ax
The focus of this parabola will be at (-a , 0) on the x axis.
So the parabola might be:
y^2 = -4x
y^2 = -12x
y^2 = -0.9x and so on......
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
109x
Step-by-step explanation:
We know that there are 109 students in the fourth grade, who each have x cupcakes. In order to find the total amount of cupcakes, we could add all of the cupcakes together to get:
x + x + x + x + .... x
109 times because there are 109 students.
This can be simplified to become 109x.
Three times my age in 5 years is 54. How old am i now.
a.10
b.11
c.12
d.13
e.14
Answer:
D. 13
Step-by-step explanation:
54 ÷ 3 = 18 (your age in 5 years)
18 - 5 = 13 (your age now)
Please helpp with my math hw I’ll give brainlest
Answer:
20 percent
40 percent
20 percent
20(.008) percent
Step-by-step explanation:
6) 54 - 45 = 9
45 / 9 = 5
100 / 5 = 20
20 percent
7) 60 - 36 = 24
60 / 24 = 2.5
100 / 2.5 = 40
40 percent
8) 30 - 24 = 6
30 / 6 = 5
100 / 5 = 20
20 percent
9) 24.99 - 19.99 = 5
24.99 / 5 = 4.998
100 / 4.998 approx. = 20.008
20.008 percent (or rounded 20 percent)
The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5.
A table with 6 columns and 2 rows. The first column, Original System has 2 y minus x equals 8 and y minus 2 x equals negative 5. The second column, Equivalent System, has 2 y minus x equals 8 and negative y plus 4 x equals 10. The third column, Sum of equations in Equivalent System, has 3 x equals 18. The fourth column, Solution to System, is blank. The fifth column, New System Using Sum, has2 y minus x equals 8 and 3 x equals 18. The sixth column, Solution to New System is blank.
Which solution can be used to fill in both blanks in the table?
The solution to the system and the solution that fills the blank space is (6, 1)
System of equationsThis are also known as a set of simultaneous equations, also known as a system of equations which is a finite set of equations for which common solutions
Given the following system of equations
2y − x = 8, and
y − 2x = −5.
From equation 2;
y = -5 + 2x ............. 3
Substitute equation 2 into equation 1 to have:
2(-5+2x) - x = 8
Expand to have:
-10 +4x -x = 8
-10 + 3x = 8
3x = 8 + 10
3x = 18
Divide both sides
by 3
3x/3 = 18/3
x = 6
Substitute x = 6 into equation 3
y = -5 + 2x
y = -5 + 2(3)
y = -5 + 6
y = 1
Hence the solution to the system and the solution that fills the blank space is (6, 1)
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Answer:
Its D (6,7)
Step-by-step explanation:
Please help right away
Answer:
A: (4,7)
B: (2,1)
C: (6,1)
Step-by-step explanation:
To plot the points, go along the x-axis (the horizontal line with the x on the end) and stop where the dot is. Whatever number the dot is above is the x-coordinate. Then, however many numbers you go up by to reach the dot is your y-coordinate.
hope this helps :)
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
[tex]\textsf{A. } y=3x^2+10x-8[/tex]
Step-by-step explanation:
We are given the information that a function has zeros at x = ⅔ and x = -4. In order to find the function that has those zeros, we can substitute the value of the zeros into each function. If the value of a function equates to zero with both values, then that is the function we are looking for.
..................................................................................................................................................
Standard Form of a Quadratic: ax² + bx + c = 0.
..................................................................................................................................................
[tex]\large \text{$y = 3x^2+10x-8 \implies 0=3x^2+10x-8$}[/tex]
[tex]\boxed{\begin{minipage}{15 em}{\text{$x=\dfrac{2}{3}$}} \\ \\\implies 0=3\left(\dfrac{2}{3}\right)^2+10\left(\dfrac{2}{3}\right)-8\\\\\implies 0=3\left(\dfrac{4}{9}\right)+10\left(\dfrac{2}{3}\right)-8\\\\\implies 0=\not{3}\left(\dfrac{4}{\not{9}\ 3}\right)+\dfrac{20}{3}-8\\\\\implies 0=\dfrac{4}{3}+\dfrac{20}{3}-8\\\\\implies 0=\dfrac{24}{3}-8\\\\\implies 0=0\ \checkmark\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{15 em}{\text{$x=-4$}} \\ \\\implies 0=3(-4)^2+10(-4)-8\\\\\implies 0=3(16)-40-8\\\\\implies 0=48-48\\\\\implies 0=0\ \checkmark\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \text{$y = 2x^2-5x-12 \implies 0=2x^2-5x-12$}[/tex]
[tex]\boxed{\begin{minipage}{15 em}{\text{$x=\dfrac{2}{3}$}} \\ \\\implies 0=2\left(\dfrac{2}{3}\right)^2-5\left(\dfrac{2}{3}\right)-12\\\\\implies 0=2\left(\dfrac{4}{9}\right)-\dfrac{10}{3}-12\\\\\implies 0=\dfrac{8}{9}-\dfrac{10}{3}-12\\\\\implies 0=\dfrac{8}{9}-\dfrac{10\times3}{3\times3}-\dfrac{12\times9}{9}\\\\\implies 0=\dfrac{8}{9}-\dfrac{30}{9}-\dfrac{108}{9}\\\\\implies0=-\dfrac{22}{9}-\dfrac{108}{9}\\\\\implies 0=-\dfrac{130}{9}\ \textsf{X}\end {minipage}}[/tex] [tex]\boxed{\begin{minipage}{15 em}{\text{$x=-4$}} \\ \\\implies 0=2(-4)^2-5(-4)-12\\\\\implies 0=2(16)+20-12\\\\\implies 0=32+20-12\\\\\implies 0=40\ \textsf{X}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \text{$y = 2x^2+5x-12 \implies 0=2x^2+5x-12$}[/tex]
[tex]\boxed{\begin{minipage}{15 em}{\text{$x=\dfrac{2}{3}$}} \\ \\\implies 0=2\left(\dfrac{2}{3}\right)^2+5\left(\dfrac{2}{3}\right)-12\\\\\implies 0=\dfrac{8}{9}\right)+\dfrac{10}{3}-12\\\\\implies 0=\dfrac{8}{9}\right)+\dfrac{10\times3}{3\times3}-\dfrac{12\times9}{9}\\\\\implies 0=\dfrac{8}{9}+\dfrac{30}{9}-\dfrac{108}{9}\\\\\implies0=\dfrac{38}{9}-\dfrac{108}{9}\\\\\implies 0=-\dfrac{70}{9}\ \textsf{X}\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{15 em}{\text{$x=-4$}} \\ \\\implies 0=2(-4)^2+5(-4)-12\\\\\implies 0=2(16)-20-12\\\\\implies 0=32-32\\\\\implies 0=0\ \checkmark\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \text{$y = 3x^2-10x-8 \implies 0=3x^2-10x-8$}[/tex]
[tex]\boxed{\begin{minipage}{15 em}{\text{$x=\dfrac{2}{3}$}} \\ \\\implies 0=3\left(\dfrac{2}{3}\right)^2-10\left(\dfrac{2}{3}\right)-8\\\\\implies 0=3\left(\dfrac{4}{9}\right)-\dfrac{20}{3}-8\\\\\implies 0=\not{3}\left(\dfrac{4}{\not{9}\ 3}\right)-\dfrac{20}{3}-8\\\\\implies 0=\dfrac{4}{3}-\dfrac{20}{3}-\dfrac{8\times3}{3}\\\\\implies 0=-\dfrac{16}{3}-\dfrac{24}{3}\\\\\implies 0=-\dfrac{40}{3}\ \textsf{X}\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{15 em}{\text{$x=-4$}} \\ \\\implies 0=3(-4)^2-10(-4)-8\\\\\implies 0=3(16)+40-8\\\\\implies 0=48+40-8\\\\\implies 0=80\ \textsf{X}\end{minipage}}[/tex]
..................................................................................................................................................
Therefore, the function whose zeros are ⅔ and -4 is [tex]y=3x^2+10x-8[/tex].
Geometry: complete this proof, ASAP!!!!!!!
The complete proof from the figure is:
AC ≅ DF; AB ≅ DE; ∠1 ≅ ∠6 -- Given∠1 ≅ ∠2; ∠5 ≅ ∠6 -- vertical angles∠2 ≅ ∠5 --- corresponding anglesΔABC ≅ ΔDEF --- SAS postulate∠3 ≅ ∠4 --- corresponding anglesBC || EF ---- provedHow to complete the proof?The given parameter is:
AC ≅ DF; AB ≅ DE; ∠1 ≅ ∠6
Angles 1 and 2, & Angles 5 and 6 are vertical angles
So, we have: ∠1 ≅ ∠2; ∠5 ≅ ∠6 by the definition of vertical angles.
From the figure, triangles ABC and DEF are congruent by the SAS postulate.
So, we have: ΔABC ≅ ΔDEF by the definition of SAS postulate
Angles 3 and 4 are corresponding angles
So, we have: ∠1 ≅ ∠2; ∠5 ≅ ∠6 by the definition of corresponding angles.
Hence, the lines BC and EF are parallel lines
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Thirteen-year-old noel was taking her algebra test but was unsure of one of her responses. she decided to go with the answer that felt the ""most right."" this is an example of?
The concept exhibited by the thirteen year old who was unsure of one of her responses. she decided to go with the answer that felt the ""most right."" is an example of; Intuitive thought.
What is the concept exhibited by the thirteen year old as given in the task content?It follows from the task content that the thirteen year old was unsure of one of her responses. she decided to go with the answer that felt the ""most right."".
Such concept may be attributed to Intuitive thought.
This follows from the fact that the internal impulse which prompts individuals to make decisions is termed; Intuition.
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A rectangle has dimension 23cm by 41cm and is made with a piece of wire How long will each length be for an equilateral triangle?
Each side of equilateral triangle will have the length equals to 42.7 cm.
Quadrilaterals
There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
The perimeter of a geometric figure is the sum of its sides. Thus, for a rectangle, the perimeter is 2L+2W.
You should find the perimeter of the rectangle.
2P=23+23+41+41= 128 cm
The equilateral triangle will have the same perimeter of the rectangle. An equilateral triangle presents the equal three sides, thus,
128= 3L
L=128/3=42.7 cm
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Complete the inequality statement.
13.01 ___ 13.1
1. =
2. >
3.
13.1 = 13.10
---> 13.1 > 13.01
---> 13.01 < 13.1
The correct answer is <
Solve the system through
substitution:
2x-y=8
3x+2y=5
The graphs below are both quadratic functions. The equation of the red graph
is fx) = ». Which of these is the equation of the blue graph, g(x)?
Answer:
A. y = 1/3x^2
Step-by-step explanation:
The red graph is stretched horizontally by a factor 1/3 to give the blue graph
Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.
The figure shows right triangle J K L with right angle L. The length of leg L J is equal to 7 point 2 units. The length of leg K L is equal to 3 units. The length of hypotenuse J K is equal to 7 point 8 units.
In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.
In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).
In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.
The side opposite to angle J is KL, which has a value of 3 units.
The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.
Thus, sin J can be calculated as:
sin J = KL/JK = 3/7.8 = 5/13 = 0.39.
Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.
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A circle is shown. Angle Q R S is 84 degrees.
What is the measure of Arc Q S?
°
In the given diagram, the measure of arc QS is 168°
Calculating measure of an arcFrom the question, we are to determine the measure of arc QS
The measure of the arc is the angle subtended by the arc at the center of the circle.
From one of the circle theorems, we have that
The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference
In the given diagram,
The angle subtended by arc at the circumference of the circle = 84°
∴ The angle subtended by the arc QS at the center = 2 × 84°
The angle subtended by the arc QS at the center = 168°
Hence, in the given diagram, the measure of arc QS is 168°
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Answer: 168°
Step-by-step explanation: TRUST ME!!! Answer is correct in Edge! :)
A hamster is 2 1/2 inches long a rabbit is 3 1/2 times as long as a hamster how long is the rabbit
FIRST CORRECT ANSWER WILL GET BRAINLIEST
Answer:
(c) f(g(3)) > g(f(3))
Step-by-step explanation:
The relationship between the function values can be found by evaluating the functions.
f(g(3))The order of operations tells us we must first evaluate g(3).
g(x) = -3x +15
g(3) = -3(3) +15 = 6
Then we can evaluate f(x) for x=6:
f(x) = 7x
f(6) = 7(6) = 42
So, the composition is ...
f(g(3)) = 42
g(f(3))As above, we must first evaluate f(3):
f(3) = 7(3) = 21
Then we can evaluate g(x) for x=21:
g(21) = -3(21) +15 = -63 +15 = -48
That means the composition is ...
g(f(3)) = -48
ComparisonThe first is greater than the second.
42 > -48
f(g(3)) > g(f(3))
Write the equivalent expression to
Answer:
Step-by-step explanation:
Begin by changing the radical form to exponential form:
[tex]((1024w^{-2}x^{-3}y^6z^{-1)^2)^{\frac{1}{5} }[/tex] There are a couple of ways to do this, but let's distribute the power of 2 into the parenthesis first by using the power to power rule of multiplication:
[tex](1024^2w^{-4}x^{-6}y^{12}z^{-2})^{\frac{1}{5}[/tex] Now we can use the same rule of power to power and distribute the power of 1/5 in:
[tex]1024^{\frac{2}{5}}w^{-\frac{4}{5}}x^{-\frac{6}{5}}y^{\frac{12}{5}}z^{-\frac{2}{5}[/tex]
The first term simplifies down to 16, and then in order to make the negative exponents positive, we move them to the denominator of a fraction, leaving the positive one where it is:
[tex]\frac{16y^{\frac{12}{5}} }{w^{\frac{4}{5}}x^{\frac{6}{5} }z^{\frac{2}{5} } }[/tex] which is the third choice down
Enter the correct answer in the box.
This graph represents a transformation of the parent square root function.
-10-8 -6
A
-2
10-
8
6-
2-
-2-
-4-
-6-
-8-
-10-
O
2
6 8 10
➜X
Replace the values of h and k to create the equation of the transformed function.
Answer:
Step-by-step explanation:
The most basic quadratic function is f(x) = x2, whose graph appears below. ... us to graph an entire family of quadratic functions using transformations.
Seven people are in an elevator which stops at ten floors. In how many ways can they get off the elevator?
The number of ways people can get off the elevator is 604800 ways.
In this question,
Number of people, n = 7
Number of floors, r = 10
The first person can leave elevator in one of 10 ways. Then second person has to choose from one of remaining 9 floors. Then third person in 8, fourth in 7 ways and so on.
Number of ways people can get off the elevator can be calculated as
⇒ [tex]nP_r=\frac{n!}{(n-r)!}[/tex]
⇒ [tex]10P_{7}=\frac{10!}{(10-7)!}[/tex]
⇒ [tex]10P_{7}=\frac{10!}{(3)!}[/tex]
⇒ [tex]10P_{7}=\frac{(10)(9)(8)(7)(6)(5)(4)3!}{(3)!}[/tex]
⇒ [tex]10P_{7}=(10)(9)(8)(7)(6)(5)(4)[/tex]
⇒ 604800 ways.
Hence we can conclude that the number of ways people can get off the elevator is 604800 ways.
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Help, please 20 points!
Answer:
The second choice is correct.
Step-by-step explanation:
As we go right on the number line, we are getting to larger and larger values.
D is greater than C because it is to the right of C, so the first choice is not correct.
The third choice is showing absolute value. This is saying that the letters C and D are both the same distance from zero. They are not.
The last choice says that A is to the right of B and it is not.
The second choice that is B≥ C is correct.
The basics of this question requires us to read the number line perfectly
As we go right on the number line, we are getting to larger and larger values.
D is greater than C because it is to the right of C, so the first choice is not correct.
The third choice is showing absolute value. This is saying that the letters C and D are both the same distance from zero. They are not.
The last choice says that A is to the right of B and it is not.
Thus option 2) is correct
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The first quartile of the dataset {1, 2, 3, 4, 5, 6} is _______. (give your answer as a whole number.
The first quartile of the dataset {1, 2, 3, 4, 5, 6} is 2.
Given data set: {1,2,3,4,5,6}
Median of the given data set =3.5
The data set can be split into 2 parts as, {1,2,3} and {4,5,6}. The first quartile is calculated by simply finding the median of the first part of the data set.
Thus, the first quartile is 2.
The quarter divides the distribution into four groups and calculates the range of values above and below the mean.
A quartile separates the dataset into four categories by dividing the data into three points: the lowest, median, and upper quartiles.
The interquartile range, a measurement of variation around the median, is calculated using quartiles.
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I need help with this
Answer:
s = -24
Step-by-step explanation:
This is a 2-step linear equation, so can be solved the way all 2-step equations are solved.
SolutionStep 1
Identify the constant term on the side of the equation with the variable term, and add its opposite to both sides.
[tex]7 = \dfrac{1}{6}s+11\qquad\text{given}\\\\7-11=\dfrac{1}{6}s+11-11\qquad\text{add $-11$ to both sides}\\\\-4=\dfrac{1}{6}s\qquad\text{simplify}[/tex]
Step 2
Multiply both sides by the inverse of the coefficient of the variable.
[tex](6)(-4)=(6)\left(\dfrac{1}{6}s\right)\qquad\text{multiply both sides by 6}\\\\\boxed{-24=s}\qquad\text{simplify}[/tex]
Alternate solutionOften, when equations contain fractions, you are advised to "eliminate fractions" as a first step. That generally means you multiply both sides of the equation by a suitable common denominator.
Here, the only denominator is 6, so the fraction can be eliminated by multiplying both sides of the equation by 6.
[tex]7=\dfrac{1}{6}s+11\qquad\text{given}\\\\6(7)=6\left(\dfrac{1}{6}s+11\right)\qquad\text{multiply both sides by 6}\\\\42=s+66\qquad\text{simplify}\\\\42-66=s+66-66\qquad\text{add the opposite of 66 to both sides}\\\\\boxed{-24=s}\qquad\text{simplify}[/tex]
You will note this requires the same number of steps, but you don't have to mess with fractions after the first step.
CheckThe value we found for the variable can be checked in the original equation.
[tex]7=\dfrac{1}{6}(-24)+11\\\\7=-4+11\qquad\text{true}[/tex]
Find the measure of x.
16
X
38°
x = [?]
Round to the nearest hundredth.
The answer is.........
25.99
Which answer choice has the set of numbers ordered correctly from least to greatest
Its 1.71, 1 3/4, pie, 16/9
Answer: 1.71, 1 3/4, 16/9, pie
Step-by-step explanation: We convert all the numbers to improper fractions. 1.71 = 171/100. 1 3/4 = 175/100 because 3/4 is 0.75. pi is 3.14... which is larger than all of the other numbers. So, pi is the largest. For 16/9, we can just divide to find the solution. Once you divide, you will notice that the answer is 1.77777777... This means that it is larger than 1.71 and 1.75 so 16/9 is the second largest. 1.71 is smaller than 1.75 so the order is 1.71, 1 3/4, pie, 16/9
