The standard deviation is 2.24 if the sum of squares for a sample containing 101 items equals 500 option (C) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{n-1}[/tex]
SD is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
∑(x(i) - X)² = 500
n = 101
SD = √(500/101-1)
SD = √5
SD = 2.236 ≈ 2.24
Thus, the standard deviation is 2.24 if the sum of squares for a sample containing 101 items equals 500 option (C) is correct.
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Leila says that 75% of a number will always be greater than 50% of any other number. complete one inequality to support leila's claim and one to show that she is incorrect. clear check support 75% of > 50% of refute 75% of < 50% of
The inequality for Leila claim is (0.75 × x) > (0.50 × y) and the support claim is x = 100 and y = 10 and that refutes the claim is x = 1 and y = 200
Inequality:
Inequality are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given,
Leila says that 75% of a number will always be greater than 50% of any other number.
Here we need to find the inequality and we also need to find one that supports Leila's claim and one to show that she is incorrect.
Let x and y be two numbers.
Leila says that 75% of a number will always be greater than 50% of any other number.
This means that the inequality is,
=> (0.75 × x) > (0.50 × y)
We know that,
75% of x = 0.75 × x
and
50% of y = 0.50 × y
So,
Numbers that support Leila's claim.
Let x = 100 and b = 10
=> 0.75 × x
=> 0.75 × 100 = 75
and
=> 0.50 × 10 = 5
As we know that, based in on the inequality,
=> 75 > 5
Hence, x = 100 and y = 10 support Leila's claim.
Similarly,
Numbers that refutes her claim.
Let x = 1 and y = 200
=> 0.75 × x
=> 0.75 × 1 = 0.75
and
=> 0.50 × 200 = 100
As we know that,
=> 0.75 < 100
Hence, x = 1 and y = 200 refutes Leila's claim.
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Which statements are true about irrational numbers?
Select all that apply.
1. They are not real numbers.
2.Their decimal form contains a bar over one or more decimal numbers to show that they continue on infinitely.
3.They can be the square root of a non-perfect square.
4.They can be written as simple fractions.
5. Their decimal form contains an ellipsis, 3 dots, to show that they continue on infinitely.
Answer:
Step-by-step explanation:
the irrational number can't be represented to a fraction number, like pi and square root of 2 , e and so on, the third fourth choice are true
rational number and irrational number are included in real number, the second choice means the decimal numbers with circulating decimal, it is belong to rational number.
the fifth choice only be used to decimal number with circulating decimal, not the irrational number.
We know circle A is a congruent to circle B because
Since the radii of Circle A and Circle B are the same length, we know they are congruent.
What is defined as the congruent circles?Congruency is a geometric term that refers to objects that share the same size and shape (dimension).
Two circles, as well as other geometrical shapes such as triangles, quadrilaterals, or polygons, can be congruent. The center and radius of a circle are the two properties that define it. Because congruency is independent of location and then a circle remains the same irrespective of rotation and reflection, the radius of a circle determines its congruence.Again, because a radius 'r' is a constant (its value does not change) and is only equal to some other constant, all circles that have the same radius (and any value dependent on radius) are congruent to each other.For the given two circles, A and B are said to be congruent if the radii of both the circles are equal.
Thus, for circles to be congruent, the radii must be equal.
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Sandra, who is paid time-
and-a-half for hours worked in excess of 40 hours, had
gross weekly wages of $442 for 48 hours worked. What is
her regular hourly rate?
Answer:
let's assume that Sandra's regular hourly rate is x dollars per hour then she is paid 1.5x per hour for the overtime and we have 40x + (48 - 40) *1.5x = 442
Step-by-step explanation:
Predictor variable: proximity from primary residence to farmland (in miles) outcome variable: animal rights opinion (scale from 0-50) what is the appropriate inferential statistic?
Closeness of primary dwelling to farmland as a predictor (in miles) outcome variable: support for animal rights (scale from 0-50) The proper inferential statistic to use is the correlation coefficient.
What is a predictor and response variable?
The variables that are measured or observed in an experiment are called response or dependent variables. Any other elements in the experiment that the researcher may be able to control or evaluate and that may have an effect on the result are known as predictor, explanatory, or independent variables.A predictor variable example is what?
When choosing employees, for instance, potential employees' future job performance may be predicted using factors like their qualifications, relevant work experience, and job-specific skills (such computer proficiency or the ability to speak a particular language).Is a predictor variable dependent or independent?
The result variable is sometimes referred to as the response or dependent variable, whereas the risk factors and confounders are known as the predictors, explanatory, or independent variables. Regression analysis uses the notation "X" for the independent variables and "Y" for the dependent variables.Learn more about predictor variable
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how can you begin solving a multi-step problem
Answer:
Step-by-step explanation:Answer:it Varys depending on the type of problem
Step-by-step explanation:Answer:
It Varys depending on what type of multi step problem
Step-by-step explanation:
if it has parentheses () then you do whatever problem is in the parentheses next is exponents which is the number of times a number is multiplied by itself the next thing you want to do is multiplication and division from left to right the last thing you will do for a multi step problem is Addition and subtraction from left to right always remember P. E.M.D.A.S for parentheses, exponents, multiplication, division, addition and subtraction.
i need help and im so tired PLSSSS
Answer:
60 ft^2
Step-by-step explanation:
The cubed root of 125 is 5 because (5x5x5) = 125 and there are 12 cubicles so multiply 12 times 5 and that equals the length of 1 row, 60 ft^2.
K
Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club purchases. If the
yearly fee for a warehouse club membership is $100 and the reward rate is 4% on club purchases for the year, then the
linear equation y=100-0.04x models the actual yearly cost of the membership y, in dollars. Here x represents the
yearly amount of club purchases, also in dollars.
a) Determine the actual yearly cost of the membership if club purchases for the year
The actual yearly cost of the membership if club purchases for the year is $40
What is actual yearly cost of the membership of the club?
The annual membership cost of Membership warehouse clubs is modelled based on the fact that yearly fee is $100 and that 4% is given off purchases the member make in the course of year, hence, the actual yearly cost is modelled as shown below:
y=100−0.04x
y= actual yearly cost of the membership=unknown
x=cost of purchases in the year=$1,500
y=100-0.04($1500)
y=100-60
y=actual yearly cost of the membership =$40
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Full question:
Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club purchases. If the yearly fee for a warehouse club membership is $100 and the reward rate is 4%
on club purchases for the year, then the linear equation
y=100−0.04x models the actual yearly cost of the membership y, in dollars. Here x represents the yearly amount of club purchases, also in dollars.
a) Determine the actual yearly cost of the membership if club purchases for the year are $1500.
Write the formula for the volume of a square prism, V= 1/3 s^2h, in terms of h. Then find the height h of a square prism with volume V=60cm^3 and side length s=6 cm.
The formula in terms of h is h = 3V/s^2 and the value of h is 5
How to write the formula in terms of h?The equation is given as
V = 1/3s^2h
Divide both sides of the equation by 1/3s^2
So, we have
h = 3V/s^2
The given parameters are
V = 60 and s = 6
So, we have:
h = 3 * 60/6^2
Evaluate
h = 5
Hence, the formula in terms of h is h = 3V/s^2 and the value of h is 5
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What is 10 times as much as 30
Amanda tutors English. For each hour that she tutors, she earns 40 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.
Write an equation relating E to H. Then use this equation to find Amanda's earnings after tutoring for 11 hours.
Amanda's earnings for 11 hours: dollars
Answer:
e = 40h
After eleven hours, she will earn $440.00
Step-by-step explanation:
Let e = earnings
Let h = hours
e = 40h She earns 40 for every hours that she tutors. If she tutors for 11 hours, you would substitute aa for h to calculate her earnings.
e = 40(11)
e = 440
Cathy is purchasing a DVD player and a TV at the local electronic store. The DVD player costs
$49.36, and the TV costs $705.20. If she plans to pay for them in 12 equal payments, then what is her
monthly cost?
The monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.
What is debt?
It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We know the formula for the monthly payment:
It is given that:
Cathy is purchasing a DVD player and tv at the local electronic store.
The DVD player costs $49.36 and the tv cost $705.20.
If she plans for them in 12 equal payments,
Total cost(combining the cost of the DVD player and TV cost):
= $49.36 + $705.20
= $754.56
Per month payment = $754.56/12
Per month payment = $62.88
Thus, the monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.
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Substitute the expressions for length and width into the formula 2l 2w. distribute 2 to each term in the parentheses. combine like terms. inches
The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
What is perimeter of the rectangle?
The formula P=2l+2w, where l is the rectangle's length and w is its width, determines the perimeter P of a rectangle. The equation A=lw, where l is the length and w is the width, determines the area A of a rectangle.The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x+ 6
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2( l + w)
Given the following parameters
length l = 8x - 1
width w = 2x + 4
Substitute the expressions for the length and width into the formula;
P = 2(8x - 1 + 2x + 4)
P = 2(10x + 3)
Distribute 2 over each term in the parenthesis
P = 2(10x) + 2(3)
P = 20x + 6
Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6.
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The complete question is -
The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width. Complete the steps to find an expression that represents the perimeter of the rectangle. Substitute the expressions for length and width into the formula 2l + 2w. Distribute 2 to each term in the parentheses. Combine like terms. inches
please help with the question below asap !! thank you in advance !!
Jubaraj and Kristopher need to buy new pencils for school. Their old pencils are less than 2 inches long. They found a bargain on pencils at a local store. Four pencils cost $1.00, including tax. If the boys buy 12 pencils, how much will they pay?
Answer:
3
Step-by-step explanation:
4 pencil = 1$
we need 12
So: 12÷4=3
3x1$= 3$
11x + 9x³ -8y + 5
14. What are the coefficients of the expression above?
15. What is the degree of the expression?
16. What is the constant of the expression?
17. How many terms are in the expression?
18. Write the expression listed above in standard form.
Problem 14
Answer: The coefficients are 11, 9, -8, and 5Reason: The coefficients are numbers to the left of the variables
======================================================
Problem 15
Answer: Degree = 3Reason: The degree is the largest exponent.
======================================================
Problem 16
Answer: Constant = 5Reason: The term without any variables attached is the constant.
======================================================
Problem 17
Answer: Four termsReason: The four terms are 11x, 9x^3, -8y, and 5
=======================================================
Problem 18
Answer: 9x^3 + 11x - 8y + 5Reason: Write the terms with the largest exponent first. Then have the exponents count down.
Differentiate the function using chain rule
Scientist A dissolved 1.0 kilogram of salt in 3.0 liters of water. Scientist B dissolved 2.0 pounds of salt into 7.0 pints of water. Which scientist made a more concentrated salt solution? Use dimensional analysis to find the concentration of salt that each scientist made. Find the equivalents from your table of measures.
The scientist that made a more concentrated salt solution is scientist A.
How to compute the value?Since Scientist A dissolved 1.0 kilogram of salt in 3.0 liters of water. The concentration will be:
= 1/3 = 0.33
Scientist B dissolved 2.0 pounds of salt into 7.0 pints of water. The concentration will be:
= 2/7
= 0.285
Therefore, the scientist that made a more concentrated salt solution is scientist A.
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What are the advantages of the edf scheduling algorithm over the rate-monotonic scheduling algorithm?
When compared to other scheduling methods for real-time systems, EDF is quite effective. It can maintain all work deadlines while increasing CPU utilization to around 100%.
What are the EDF scheduling algorithm and monotonic scheduling algorithm?The earliest deadline first (EDF) algorithm is a dynamic priority scheduling algorithm that is used in real-time systems.
EDF is an optimal algorithm, it will schedule a task set if possible. EDF is also independent of the task's period and can be used to schedule aperiodic tasks because it makes no assumptions about job periodicity. If two jobs have the same absolute deadline, choose one at random.
When compared to fixed priority scheduling techniques such as rate-monotonic scheduling, EDF can guarantee all system deadlines at higher loading. On non-preemptive uniprocessors, EDF is also an optimal scheduling algorithm, but only among scheduling algorithms that do not allow inserted idle time.
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The musical note E can be modeled by the function, y = asin(1320πx), where a = 1 and x is the time in seconds. Playing note E on your computer, you notice that it is not loud enough to be heard across the room.
What change can you make to the function to make note E louder than the original?
Using translation concepts, the note E would be louder with a higher amplitude of y, hence constant a has to be multiplied by a positive constant greater than 1.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the function is given by:
y = asin(1320πx)
The intensity of a sound is given by it's amplitude a, hence, to make the sound stronger, we need to vertically stretch the graph of y, which is done when constant a is multiplied by a positive constant greater than 1.
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Please help me with my math
The temperature was 71 degrees on thursday at 6 am. the temperature rose 4 degrees per hour and for several hours. at what time did the temperature reach 83 degrees
At 6 am temperature was 71 degrees and rises 4 degrees per hour then at 9 am temperature reach 83 degrees.
As given in the question,
On Thursday at 6 am temperature = 71 degrees
Rise in temperature = 4 degrees per hour
Temperature at
7 am = 71+ 4
= 75 degrees
8am = 75 + 4
= 79 degrees
9am = 79 +4
= 83 degrees
Therefore, at 6 am temperature was 71 degrees and rises 4 degrees per hour then at 9 am temperature reach 83 degrees.
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5. What is the height of a triangle that has an area of 90 m² and a base with a length of 18 m?
Answer:
h = 10m
Step-by-step explanation:
[tex]A=\frac{bh}{2}[/tex]
[tex]90=\frac{18h}{2}[/tex]
[tex]18h=(90)(2)[/tex]
[tex]h=\frac{180}{18} =10[/tex]
Hope this helps
A television uses 1 unit of electricity every 10 hours.
A unit of electricity costs 9.8 p.
Calculate the cost of having a television turned on for 24 hours.
Answer:
Step-by-step explanation:
9.8 p = 10 hours
24 hours = ?
= 24 hours (9.8p)
10 hours
=23.92p
I need help regarding a question about matrixes in math can someone please help?
Answer:
Hello,
x=5, y=-3, t=-17, z=-43
Step-by-step explanation:
[tex]\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}*\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}7 &35 \\12 & 3t \end{bmatrix}\\\\\\\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}^{-1}=\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}\\[/tex]
[tex]\\\\\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}*\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}*\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}*\begin{bmatrix}7 &35 \\12 & 3t \end{bmatrix}\\\\\\\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}5 & -35+3t \\-3 & 105+6t\end{bmatrix}\\\\[/tex]
x=5
y=-3
t=-17
z=-43
Find the circumference of a circle with radius, r = 9.5m.
Give your answer in terms of pi
The circumference of a circle with radius, r = 9.5m is 19π
What is circumference of circle?
The perimeter of a circle or ellipse is its circumference. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.
What does a circle's circumference mean?
The complete length of a circle's arc is known as its circumference. The circumference of the circle is another name for it. The radius of the circle is the distance measured from any point on the circle to its center.
Given,
radius of the circle = 9.5m
The formula to calculate the circumference is -
C = 2πr
where r = radius of the circle
⇒ 2 × π × 9.5
⇒ 19π
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ASAP PLS I NEED IT AND TY
Answer:
2
Step-by-step explanation:
to solve this equation you must find what you multiply A to to equal A'
you can solve this by dividing 18 by 9
18 / 9 = 2
that is your answer
Find the measure of the missing angle.
42°
(6/7x-2/3)+3/5(5/8x-6/7)
Answer:
Step-by-step explanation:
1035x-992/840
− 2|5 − 1| − 3 =− 11 Pls help
The lines mean absolute value.
Not sure what the question is, but both sides are equal to each other. -11=-11, so if the question is if both sides are equal, then it's true
