It is true that the sample mean and the sample standard deviation remain unaffected.
What is mean ?Mean is the average of the given data.
According to the given question when each entry is multiplied by a constant k each term will k times of the previous term.
Suppose we have 3 terms x, y, z.We know that their mean will the middle term as there are odd number of terms which is y.
Now if we multiply each term by a constant k the terms will be kx, ky, kz and the middle term is ky.
As each term is multiplied by k we have divide by k which is
= ky/k
= y.
So from both the results we can observe that the mean and the standard deviation remains same.
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An engineer is estimating the weight of a steel beam. the actual weight of the beam is 286 pounds. the engineer's estimate is 300 pounds.
find the absolute error and the percent error of the engineer's estimate. if necessary, round your answers to the nearest tenth.
The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .
Absolute Error is defined as the difference between The Actual value and the estimated value .
Percent Error is defined as the difference between The Actual value and the estimated value in comparison to actual value expressed in percent .
[tex]Percent Error=\frac{|Estimated Value-Actual value|}{Actual Value} *100[/tex]
Given that the Estimated value =300 pounds
Actual Value=286 pounds
Absolute Error=300-286=14 pounds
Percent Error=[tex]\frac{|300-286|}{286} *100[/tex]
=[tex]\frac{14}{286} *100=4.89[/tex]%
Therefore , The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .
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According to the sliding filament model, which of these gets shorter during muscle contraction? (choose all that apply)
The required result of the sliding filament model given below.
What is the sliding filament model?The mechanism by which muscles contract is described by the sliding filament model. Actin and myosin myofilaments move over one another as a result of a cycle of repeated occurrences, constricting the sarcomere and creating tension in the muscle.
The A band is the middle, darkly pigmented area of the sarcomere that runs the entire length of the thick filaments. The portion of the thin filaments that cross over the thick filaments is also included. The I band is formed by the remaining thin filaments within the sarcomere but not by any thick filaments. Each A band has a narrow region in the middle called the H zone, which is made up entirely of dense filaments.
Myosin heads pull the thin filaments in the direction of the M line during muscle contraction. Because of this, the thin filaments glide inward, allowing their ends to overlap and connect at the sarcomere's core. The I band and H zone become smaller as a result.
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∠A and \angle B∠B are vertical angles. If m\angle A=(2x+19)^{\circ}∠A=(2x+19) ∘ and m\angle B=(3x-18)^{\circ}∠B=(3x−18) ∘ , then find the measure of \angle A∠A.
The measure of Angle ∠A is 93
How to find the measure of angle ∠A?The given parameters are
Angle ∠A = 2x + 19
Angle ∠B = 3x - 18
The angles are vertical angles
So, we have
Angle ∠A = Angle ∠B
This gives
3x - 18 =2x + 19
Collect the like terms
3x - 2x = 18 + 19
Evaluate the like terms
x= 37
Substitute x= 37 in Angle ∠A = 2x + 19
Angle ∠A = 2 x 37 + 19
Evaluate
Angle ∠A = 93
Hence, the measure of Angle ∠A is 93
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2. A container in the shape of a cube can hold 1,000 cm³ of water. What is the edge length of the container?
Answer:200
Step-by-step explanation:1,090
If angle A is 4x+2 and angle B is 11x, what is the value of x? (round to the nearest tenth)
Answer: 13.6 or 9.2
Step-by-step explanation:
Answer:
x=2/7
Step-by-step explanation:
The most important thing to note is that angle A and angle B are vertical angles. Vertical angles are always equal. So, you can set 4x+2=11x and solve.
To get x by itself, subtract 4x from both sides to get 2=7x. Then divide 7 from both sides which gets x equal to 2/7.
Graph the image of kite QRST after a reflection over the line y= –x.
The required image of kite QRST after a reflection over the line y= -x has shown in the attached graph.
point Q (3,10)
point R (-1,9)
point S (3,7)
point T (7,9)
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is a reflection over the line y = −x?Reflection over the y = −x is defined as reflecting a point across they = −x, the x-coordinate and y-coordinate change places, and t the line y = x is the coordinates (y, x). the line y = -x is the coordinates (-y, -x).
Here point Q (−7,5) reflected across the line y = -x will become (3,10).
Similarly
point R (-1,9)
point S (3,7)
point T (7,9)
Therefore, the required image of kite QRST after a reflection over the line y= -x has shown in the attached graph.
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What is the slope of the line?
1/2
-1/2
-2
2
Answer:
1/2
Step-by-step explanation:
A sample of n = 100 scores has a mean of 5. a second sample has n = 25 scores and m = 7. if the two samples are combined, the sample mean for the combined sample will be __________.
A sample of n = 100 scores has a mean of 5. A second sample has n = 25 scores and m = 7. if the two samples are combined, the sample mean for the combined sample will be 5.4.
We are given the sample mean of n = 100, is 5. Therefore, the sum of 100 observations is 100 x 5 = 500
The sample mean of n = 25, is 7. Therefore, the sum of 25 observations is
25 x 7 = 175
The sum of two samples is 500 + 175 = 675.
And the sum of two sample size is 100 + 25 = 125
Now, the combined mean is:
675125=5.4
What is mean?
A dataset's mean(also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. It is frequently referred to as the "average" and is the most widely used measure of central tendency.
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A taxi ride costs p40.00 for the first 500 meters and each additional 300 meters or a fraction there of adds p3.50 to the fare.use a piecewise function to represent the taxi fare in terms of distance d in meter?
The function which represents the taxi fare in terms of distance d in meter is f(d) = 3.50 ×[tex]\frac{d-500}{300}[/tex] + 40 .
According to the question,
For first 500 meters cost is 40.00 and For each additional 300 meters cost is 3.50 .
Let, the total distance of taxi ride = d meters
Now, representing the equation of taxi fare in terms of distance when distance is less than 500
taxi fare = 3.50 × [tex]\frac{d-500}{300}[/tex] + 40
∴ f(d) = 3.50 × [tex]\frac{d-500}{300}[/tex] + 40
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12. Jeremy has 3 pounds of ground beef to make hamburgers. How many 1/3-pound hamburgers can he make?
Answer: He can make 9 hamburgers.
Step-by-step explanation:
one hamburger can be made by 1/3 of beef,
so according to ratio and proportions ,
1 beef can make 3 hamburgers,
hence 3 pound of beef can be used to make
=3*3
=9 hamburgers
hence,
He can make 9 hamburgers.
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Answer:1
Step-by-step explanation: firstly , divide 3 by 1\3 then 3÷1\3=1
Write two number so that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number ?
The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.
Given that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number .
The first number will be 9 and the second number will be 98.
In the second number, the 9 is in the tens position which means that it has the value of 90.
In the first number, the value of 9 is simply 9.
90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.
The first number will be 9 and the second number will be 98.
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Help me
Evaluate the expression.
Do not round your answer.
image:-
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
2 ( [tex]\frac{1}{3^2}[/tex] )
= 2 ( [tex]\frac{1}{9}[/tex] )
= 2 × [tex]\frac{1}{9}[/tex]
= [tex]\frac{2}{9}[/tex]
22) Larry earns a yearly salary of $35,000 plus 5% commission on his sales. If his total sales for the
aro $260.000 what will be his total earnings ( salary and commission) for the year?
Answer:
48000
Step-by-step explanation:
260000*5%=13000
35000+13000=48000
Twice a number minus 4 equals twelve. Find the #
answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
Answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
1
Find the values of x and y.
(7y-4)°
59⁰
(3y - 5)°
(12x + 3)º
The values of x and y are;
x = 19/12°y = 9°What is termed as the linear equation in two variable?If a, b, and r are all real numbers that are not equal to zero, then;
ax + by = c depicts a two-variable linear equation.
The equation's two variables are signified by x and y. The coefficients are represented by the numbers a and b.The standard form of a two-variable linear equation: ax + by = c.In the above equation, the number 'c' is referred to as the constant.As demonstrated in the following example, a linear equation with two variables does have three entities:12x - 3y = 15 and 12x - 24y = 7 are examples of two-variable linear equations.For the given equations;
(7y-4)° = 59⁰ and (3y - 5)° = (12x + 3)º
Consider (7y-4)° = 59⁰;
Simplifying;
7y = 59 + 4
7y = 63
y = 9
Put y = 9 in the second equation;
(12x + 3)º = (3y - 5)°
12x + 3 = 3×9 - 5
Further simplifying;
12x = 27 - 8
12x = 19
x = 19/12
Thus, the values obtained for x and y are x = 19/12° and y = 9°.
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The correct question is-
Find the values of x and y.
(7y-4)° = 59⁰
(3y - 5)° = (12x + 3)º
A thief steals an atm card and must randomly guess the correct -digit pin code from a -key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?.
The probability of a correct guess on the first try is 0.024%.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
A number between 0 and 1 is the probability of an event.
where,
P(E) = Number of Favorable Outcomes/Number of Total Outcomes
Because a thief steals an ATM card and must randomly guess the correct four-digit pin code from an eight-key keypad, and digit repetition is permitted, the following calculation must be performed to determine the probability of a correct guess on the first try:
8 [tex]*[/tex] 8 [tex]*[/tex] 8 [tex]*[/tex] 8 = X
[tex]8 ^ {4 }[/tex] = X
simplifying the above equation, we get
4096 = X
1/4096 = X
0.000244140625 = X
0.000244140625 [tex]*[/tex] 100 = 0.024%
Therefore, the probability of a correct guess on the first try is 0.024%.
The complete question is;
A thief steals an atm card and must randomly guess the correct four-digit pin code from a 8-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first try?
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e
The temperature in a town is 23.3°F during the day and -21.4°F at night. Find the difference in the temperatures.
Answer:
53.7 degrees.
Step-by-step explanation:
Write a multi-way selection statement that adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.
The solution is shown below:
What is multi-way selection?In addition to two-way selection, most programming languages provide another selection concept known as multiway selection. Multiway selection chooses among several alternatives. C has two different ways to implement multiway selection: the switch statement and else-if construct.
Given condition:
adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.
if age < 18:
minors += 1
else if age < 65:
adults += 1
else:
seniors += 1
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Which kind of symmetry does the letter D have?
Answer:
D has a horizontal symmetry.
<
Use the distributive property to remove the parentheses.
(−6+3u+3w)(−8)
X
Ś
Answer:
you should use words that can help some people can,t under stand so this is what
Which type of cable is uses a two-number designator consisting of core and cladding measurements?
Fiber optic type of cable is uses a two-number designator consisting of core and cladding measurements.
What does fiber optics serve?
Fiber optics are used for long-distance and high-performance data networking. It is often used in other telecommunications services as well, including internet, television, and telephones.What methods are used to deploy fiber optics?
Installing fiber optic cable indoors or outdoors can be done using a variety of installation methods. Outdoor cable can be buried or placed in between poles. It may also be blasted or dragged into an innerduct or conduit.Can fiber optics compete with the internet?
When compared to normal cable internet and DSL, fiber optic internet is about 20 and 80 times faster. Fiber is the best choice for the majority of internet users because it only costs $10 to $20 more each month.Learn more about fiber optics
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a house is drawn to the scale of 1/4in = 5 ft. Its rectangular kitchen measures
4.5 inches by 6.5 inches on the blueprints. What is the actual length and width of the kitchen?
Find the actual area of the kitchen.
Answer:
1 : 4 1/2 :: 8 1/5 : x proportion
x = (4 1/2)(8 1/5) product of means/extremes
x = (9/2)(41/5) change improper fraction
x = 369/10 multiply
x = 36.9 change to decimal
8/7 x 4 6/7 help plssss
Answer:
272/49
Step-by-step explanation:
hope this helps :)
PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG
Answer:
5/6
Step-by-step explanation:
Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile. Best
taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile. How
many miles will a person travel in order to spend an equal amount of money using either
service?
Answer:
30
Step-by-step explanation:
3+0.2x
3(2)+0.1x
8.1
26
FENCING Vanessa has 180 feet of fencing that she intends to use to build a rectangular play area for her dog. She wants the play area toenclose at least 1800 square feet. What are the possible widths of the play area? List the smallest width first.
The possible widths of the play area is mathematically given as
w =30 w=60This is further explained below.
What are the possible widths of the play area?Generally, the equation for perimeter is mathematically given as
P =2(l+w)
180 =2(l+w)
2(l+w) =180
[tex]l+w = \frac{180}{2}[/tex]
l+w =90
A =l \times w
1800 &=l *w
l *w =1800
l *w =1800
Substitute Eq. 3 in the Eq. 2:
l *w=1800
(90-w) *w=1800
90w-ww=1800
90w-w^2=1800
w^2-90 w+1800=0
Therefore
w^2-90 w+1800 =0
[tex]\left(w^2-30 w\right)+(-60 w+1800) =0[/tex]
w(w-30)-60(w-30) =0
(w-30)(w-60) =0
Thereofre
w =30
w=60
In conclusion, Because of this, the width of the rectangular play space is either thirty or sixty feet.
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Mr. Sullivan's employer withheld $19,342.19 in federal income tax. After completing his return, Elsner has determined that his tax is $23,945.22. Will he get a refund, or does he owe the IRS and how much? Use a negative number to represent a refund and a positive amount to represent additional taxes owed. Round to the nearest penny.
HHe will owe the IRS and the amount is $4603.03
In this question, we have been given Mr. Sullivan's employer withheld $19,342.19 in federal income tax.
Elsner has determined that his tax is $23,945.22
We need to find whether he get a refund, or he owes the IRS.
From given information,
Employer withheld in federal taxes last year = $19,342.19
His tax amount is $23,945.22
So by considering the above information, the he owes the additional taxes because the tax amount i.e., $23,945.22 is more than the withheld amount i.e., $19,342.19
So, the additional taxes would be,
$23,945.22 - $19,342.19 = $4603.03
This difference represent the additional taxes owed.
Therefore, he will owe the IRS and the amount is $4603.03
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1.00 *10³ + 4.235 *10*
either 1042.35 or 1.04235*10^3
When it is easier to use the point-slope form to write the equation of a line and when it is easier to use the slope-intercept form? brainley
The slope-intercept form will be easier to write the equation of the line.
What is the equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The equation of the line for the slope and intercept form is y = mx + c. Where m is the slope of the line and c is the y-intercept of the line.
Therefore, the slope-intercept form will be easier to write the equation of the line.
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PLEASE HELP !! 30 POINTS
Answer:
A = 11
B = 8
Step-by-step explanation:
The function is 2[tex]2x^2 + x + 5[/tex]
To determine y=A and y=B simply substitute the value of x corresponding to that y-value
A is at x = -2
At x = -2,
[tex]\mathsf =2\left(-2\right)^2+\left(-2\right)+5[/tex]
= [tex]2\cdot \:4+\left(-2\right)+5[/tex]
[tex]= 8 - 2 + 5[/tex]
[tex]= 11[/tex]
So [tex]\boxed{A = 11}[/tex]
For B, note that x = 1
So y-value for x = 1 is
[tex]y = 2\cdot \:1^2+\:1+5[/tex]
[tex]=2\cdot \:1+1+5[/tex]
[tex]=2+1+5[/tex]
[tex]=8[/tex]
So [tex]\boxed{B=8}[/tex]