The numbers of trading cards owned by 8 middle-school students are given below.(Note that these are already ordered from least to greatest.)352, 424, 443, 457, 493, 508, 570, 625Suppose that the number 352 from this list changes to 440. Answer the following.(a) What happens to the mean?It decreases byIt increases by(b) What happens to the median?It stays the same.It decreases by .It increases by .It stays the same.
Answers
We have a list of numbers: 352, 424, 443, 457, 493, 508, 570, 625.
a) The mean wil be the average of all the numbers, which can be calculated as the sum of all of them divided by 8, which is the quantity of data points.
Then, if we change 352 for 440, the sum of the all the numbers will increase, and therefore, so will the mean.
Then, if we change 352 by 440, the mean will increase.
The amount will be equal to the difference between 440 and 352, divided by 8:
\(\Delta\bar{x}=\frac{1}{8}(440-352)=\frac{1}{8}\cdot88=11\)The mean will increase by 11 units.
b) In the case of the median, it will only change if we replace a number at one side of the median (left or right) with another number that will fall on the other side of the median.
In this case, if we replace 352 with 440, both will be in the same side in respect to the median (both will stay at the left of the median, which is 475, the average between 457 and 493).
Then, in this case, the median stays the same.
Answer:
a) It increases by 11.
b) it stays the same.
Related Questions
HELPP!!!
The area of the figure is ____ square units.
Answers
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
A suspect of a crime is traveling on 26th Street toward Cherry Street. The diagram shows the locations of the suspect and a police officer. Your friend says that the officer should wait at point C to intercept the suspect because the officer will have the same distance to travel no matter which route the suspect takes. Is your friend correct? Explain.
Answers
AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
What is the Angle Bisector Theorem?According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.
In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.
Therefore, we can conclude as saying:
C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
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5x + 6 =2x + 15
x=???????????
Answers
Answer: X = 3
Step-by-step explanation:
get like terms on each side: 5x -2x = 15 - 6
combine like terms: 3x = 9
divide each side by 3: x = 3
Theres your answer hope this helps
Answer:
X=3
Step-by-step explanation:
5x+6=2x+15
5x-2x=15-6
3x/3=9/3
X=3
Bryan invests $6500 in two different accounts. The first account paid 11 %, the second account paid 7 % in interest. At the end of the first year he had earned $519 in interest. How much was in each account?
$ at 11 %
$ at 7 %
Answers
Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.
The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).
According to the problem, the total interest earned after one year is $519. So we can set up the equation:
0.11x + 0.07(6500 - x) = 519
Simplifying the equation:
0.11x + 455 - 0.07x = 519
0.04x + 455 = 519
0.04x = 64
x = 64 / 0.04
x = 1600
Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
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Question 4 of 10, Step 1 of 1
Correct
How much simple interest would be paid on a loan of $10,140 at 8 % for 5 months? Round your answer to nearest cent. assume 360 days in a year 30 days in a month
Answers
Answer:
338
Step-by-step explanation:
10,140x.08=811.20 annual interest
811.20/360 x 150(5 months)=338
HELP URGENT …What is the range ?
(also if you can, can you help with my other asked questions you’d be a life saver)
Answers
Answer:
B [-4, + ∞)
Step-by-step explanation:
Minimum Y min = -4 {From the graph}
Honestly, it's hard to explain, sorry
Use any method to multiply (3a + 2b – c)(a – b + 2c).
Question 5 options:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
B)
3a2 + 2b2 + 2c2 – ab – 5ac + 5bc
C)
3a2 + 2b2 – 2c2 + ab + 5ac + 5bc
D)
3a2 – 2b2 – 2c2 + ab + 5ac – 5bc
Answers
Answer:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
\((3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc\)
Answer:
option a is correct
Step-by-step explanation:
(3a + 2b - c)(a - b + 2c)
3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)
multiply the brackets
3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2
combine like terms
3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2
3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc
Alberto has been doing the same number of pushups every morning. To increase his strength,he is now adding a fixed number of pushups each day. The following table tracks his progress.Write a linear equation in slope intercept form that represents this scenario.
Answers
y = 3x + 25
Explanation:Choose two points from the table, say
x1 = 2, x2 = 6
y1 = 31, y2 = 43
The slope here is:
(y2 - y1)/(x2 - x1)
(43 - 31)/(6 - 2)
= 12/4
= 3
The equation of the line if given as:
y = mx + b
where m is the slope and b is the y-intercept.
31 = 3(2) + b
31 - 6 = b
b = 25
Therefore, the equation is:
y = 3x + 25
I need help and i have to show my work
Answers
Answer:
5.8x2.4=13.92
Step-by-step explanation:
if you put the two halves of a triangle like this together it makes a square then you times the length and width together and thats your triangle area
Solve for the unknown. q- 5/6=1 5/6
Answers
Answer:
q=8/3
Step-by-step explanation:
First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.
Answer:
\(q=2\frac{2}{3}\)
Step-by-step explanation:
The given equation consists of a fraction and a mixed number.
First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:
\(q-\dfrac{5}{6}=1 \frac{5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{11}{6}\)
Now, add 5/6 to both sides of the equation to isolate q:
\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)
\(q=\dfrac{11}{6}+\dfrac{5}{6}\)
As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:
\(q=\dfrac{11+5}{6}\)
\(q=\dfrac{16}{6}\)
Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).
The GCF of 16 and 6 is 2, therefore:
\(q=\dfrac{16\div 2}{6 \div 2}\)
\(q=\dfrac{8}{3}\)
Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:
\(q=2 \; \textsf{remainder}\;2\)
The mixed number answer is the whole number and the remainder divided by the denominator:
\(q=2\frac{2}{3}\)
construct a triangle ABC with line AB= 10cm BC=6cm and AC=11cm. Hence measure the values of the angle
Answers
Hence , the construction of the triangle is given below.
AB = 10 cm BC = 6 cm AC = 11 cm
We have to find ∠A, ∠B, and ∠C.
To construct a triangle,
Firstly draw a line segment AB = 10 cm
From A we need a point C at a distance of 6 cm. So with A as the center, draw an arc of 6cm in length from point A.
From B we need a point C at a distance of 11 cm. So with B as the center, draw an arc of 11cm in length from point B.
Mark the point of intersection of the arcs as C.
Meet points C to A and B respectively.
By using a protractor measure the angles of A, B, and C.
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An operations analyst counted the number of arrivals per minute at an ATM in each of 30 randomly chosen minutes. The results were: 0, 3, 3, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1. For the Poisson goodness-of-fit test, what is the expected frequency of the data value X
Answers
Step-by-step explanation:
since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is
\(\hat{\lambda}=\bar{x}=\frac{\sum x}{n}=\frac{30}{30}=1\)
So probabaility for \(\mathrm{X}=1\) is
\(P(X=1)=\frac{e^{-\lambda} \lambda^{x}}{x !}=\frac{e^{-1} \cdot 1^{1}}{1 !}=0.3679\)
So expected frequency for \(X=1\) is \(0.3679^{*} 30=11.037\) (or \(\left.11.04\right)\) .
She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
.
Answers
she still owes 9.3$
answer : 9.30$
Step-by-Step-
25.63-16.33=9.30
Jenny still owns $9.30 dollars to her sister.
Hope this helps :)
What is the answer and plz give me step by step explaining
Answers
Answer:
-5×+12-7×=-3(5×+8)
-5×+12-7×=-15×+24
-12×+12=-15×+24
-12×+12=-15×+24
3×+12=24
3×=12
×=4
Step-by-step explanation:
-5×+12-7×=-3(5×+8)
-5×+12-7×+24
-12×+12=-15×+24
-12×+=-15×+24
he table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x) = 2x. x 0 1 2 3 4 g(x) -11 -10 -8 -4 4 Determine the size of the shift from function f to function g. Then, plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x-values as used in the table for function g.
Answers
Answer:
1. The size of shift from function f to function g is -12
2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.
Step-by-step explanation:
Parent function: f(x)=2^x
x=0→f(0)=2^0→f(0)=1
x=1→f(1)=2^1→f(1)=2
x=2→f(2)=2^2→f(2)=4
x=3→f(3)=2^3→f(3)=8
x=4→f(4)=2^4→f(4)=16
Size of the shift from function f to function g: s
s=g(0)-f(0)=-11-1→s=-12
s=g(1)-f(1)=-10-2→s=-12
s=g(2)-f(2)=-8-4→s=-12
s=g(3)-f(3)=-4-8→s=-12
s=g(4)-f(4)=4-16→s=-12
Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:
s2=s/2→s2=(-12)/2→s2=-6
x h(x)
0 1+(-6)=1-6=-5
1 2+(-6)=2-6=-4
2 4+(-6)=4-6=-2
3 8+(-6)=8-6=2
4 16+(-6)=16-6=10
I need help with 9 please find the area of each shaded sector. Round to the hundredth place.
Answers
The formula for calculating the area of the sector is expressed as:
\(A=\frac{\theta}{360}\times\pi r^2\)Given the following parameters
\(\begin{gathered} \theta=360-(26+90) \\ \theta=360-116 \\ \theta=244^0\text{ (substended angle)} \end{gathered}\)The resulting angle is the sum of the angles of the shaded sectors
Since the radius r = HK = 25ft, hence;
\(\begin{gathered} A=\frac{\theta}{360}\times\pi r^2 \\ A=\frac{244}{360}\times\pi(25)^2 \\ A=\frac{244}{360}\times625\pi \\ A=0.6778\times1,963.75 \\ A\approx1,330.99ft^2 \end{gathered}\)Hence the area of the shaded sectors to the nearest hundredth is 1330.99 square feet
If a loading ramp is placed next to a truck, at a height of 8
feet, and the inclined portion of the ramp is 17 feet long, what angle (in degrees) does the ramp make with the ground?
Round your answer to one-tenth of a degree.
Answers
The angle that the ramp makes with the ground is approximately 28.07 degrees.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):
Sin(θ) = 8/17
We can use a calculator to find the inverse sin of this ratio to get the angle θ:
θ = sin⁻¹(8/17)
θ ≈ 28.07 degrees
Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.
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a plane flies 1.7 hours at 130 mph on a bearing of 20°. it then turns and flies 4.7 hours at the same speed on a bearing of 110°. how far is the place from it's starting point (round to the nearest model)
Answers
Angle = 20° for 7 hours
Speed V = x/ 1.7 = y / 4.7
Then
x= 1.7V
y= 4.7V
z= ?
Angles are
a= 90° - 70°= 20°
b= 110°
c= 50°
Now apply rule of Sinus
Sin 20/ 4.7 = Sin 130/ z
Then
z= (Sin 130/Sin 20 )• 4.7
z= 10.53
Then answer is
Plane is at 10.53 hours , from starting point.
Can someone help me with this math problem asap
Answers
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
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60 POINT QUESTION. Middle school math, ordered pairs.
Answers
Answer:
(0,2)
(3,0)
Step-by-step explanation:
(3,0)
Is the correct answer
Can anyone help me with this one
Answers
Answer:
D. 32x² - 50
Step-by-step explanation:
P = perimeter (units²)
P = 2(2x + 5)(2x - 5) + 2(3x)(2x + 5) + 2(3x)(2x - 5)
P = 8x² + 20x - 20x - 50 + 12x² + 30x + 12x² - 30x
P = 32x² - 50
increase 400 in the ratio 3:5
Answers
Answer:
250.
Step-by-step explanation:
3 + 5 = 8. => (3/8) * 400 = 3 * 50 = 150. => (5/8) * 400 = 5 * 50 = 250.
the diameter of a circle is 7 inches.find it's area to the nearest 10th
Answers
Answer: d=7 inches
r=7/2
r=3.5
A=πr²
A=3.14(3.5inch)²
A=3.14×12.25inch²
A=38.465inch²
A≈38.47inch²
4 State if the two triangles are congruent or not congruent. If they are congruent, state the theorem (one of the five) that proves they are congruent. Show Your Work
Answers
from the image given the two angles are congurent
the theorem supporting this is SAS (side, angle, side)
How many 1.5 ft
pieces of pipe can you cut from a 12ft pipe
Answers
Answer:
8 pieces.
Step-by-step explanation:
12 / 1.5
= 24 / 3
= 8.
Please help!!!! This question is on my plato
Answers
Answer:
Its D
Step-by-step explanation:
29/1000= 0.029
Answer:
C.
Step-by-step explanation:
29/999 is 0.02929292929292929
Answer the question in the picture
Answers
The area of the semicircle is A = 1187.9 cm².
What is the area of a circle?The area of a circle with a radius of r is A = πr².
Given that, the diameter of the semicircle is 55 cm.
The radius of the semicircle is,
r = 55/2
The area of a semicircle is given by,
A = (1/2)πr²
Substitute the values,
A = (1/2)π(55/2)²
A = 1187.9
Hence, the area of the semicircle is A = 1187.9 cm².
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How to solve the problem of equivalent fractions
Answers
1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively
What is Equivalent Fraction?The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.
1/2 = /6 = /8.
a. Multiply numerator and denominator by 3 for equivalenting the equation /6
Therefore,
3*3/6*3
=9/18
=1/2
therefore:1/2=1/2.
b. Multiply numerator by 4
Therefore,
4/8
=1/2.
Therefore:
1/2=1/2.
1/2=1/2=1/2.
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-4(2w+7) simply with distributive property
Answers
Answer:
\({ \tt{ - 4(2w + 7)}} \\ = { \tt{( - 4 \times 2w) + ( - 4 \times 7)}} \\ = { \tt{ - 8w - 28}}\)
The sum of two numbers is -10.5 , identify two negative addends that make the statement true
Answers
PLUG IN TWO NEGATIVE NUMBERS
pls give brainlest almost lvled up