Mr. Singh needed to understand the trend of his students’ latest test scores. Find the mean and median for each set of data, and then determine which gives a better picture of the scores.
Scores: 89, 99, 80, 5, 90, 0, 100, 95
Answer:
See explanations below
Step-by-step explanation:
Mean is the average of the data
Mean = sum of data/sample size
Sum of data = 89+99+80+5+90+0+100+95
Sum of data = 558
Sample size = 8
Mean = 558/8
Mean = 69.75
Median is the data value in the middle after rearrangement
Rearrange
0 , 5, 80) 89, 90, (95, 99 100
Median = 89+90/2
Median = 89.5
The parameter that gives a better picture of the scores is the Mean since all the given datas are taken into consideration
The mean test score is
✔ 69.75
.
The median test score is
✔ 89.5
.
Which measure of center best represents the test data?
✔ median
I hope this helps!
it takes three identical water pumps 7 hours to fill a pool, how long would it take two of the same pumps to fill the pool, assuming they all pump at the same rate. please help
Answer:
10.5 hrStep-by-step explanation:
7 hr/3 pumps
So first we want to find the unit rate which would be...
5.25 hr/1 pump
Now that we found the unit rate we are going to multiply it by 2 because there are 2 pumps...
5.25*2=10.5
So our answer is 10.5 hr/ 2 pumps
YOUR WELCOME!
BRAINLIEST?????
The graph of the cubic parent equation, y=x3
, is plotted on the coordinate plane.
Select two equations that represent a shift of the graph of the parent equation to the right on the coordinate plane.
The two equations that represent a shift of the graph are y=(x-12)³ and y=(x+8)³.
What is an equation?
Variable terms are frequently used in complex algorithms to reconcile two opposing claims. Academic statements known as equations are used to express the equivalence of different academic quantities. Rather than using a specific algorithm to divide 12 into two parts and assess the data obtained from y + 7, normalization in this case leads to b + 7.
The two equations describe a shift of the graph of the parent equation on the coordinate plane towards the right.
=> y=(x-12)³
=> y=(x+8)³
Therefore , the solution of the given problem of equation comes out to be y=(x-12)³ and y=(x+8)³.
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A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?
Answer:
1.91666667
Step-by-step explanation:
7 times 3/4 = 5.25
5.25 - 3 1/3 = 1.91666667
0.25 ( 6g + 32 ) =
Show work please or explain :)
Answer:
0.25/6+32=32.0416666667
Step-by-step explanation:
I got this answer because i saw that the 0.25 was at the begining of the equation and i thought that was division and then the ones in perenthisis which was 6+32 and i got my answer buy using a calculater but i got the equation by my self.
can you please help me with number 21 please
Answer:
well it simply tells you if you think your right on all of them then press yes if not press no
What is the value of 1/2 + (-5/6) + 1/4?
1. -7/12
2. -1/12
3. 1/12
4. 1 7/12
Answer:
The answer is 4
Step-by-step explanation:
1/2+(-5/6)= 1 1/3
1 1/3 + 1/4= 1 7/12
A taxi company charges a fixed hire fee (which is a whole number of dollars) plus a rate for each
kilometer (which is a multiple of 10¢ and more than the set national minimum rate of $1.75),
rounded up to the nearest kilometer.
Maira’s last journey cost $37.90, but she does not know how far it was, or what the fixed hire fee
is. She wants to know how far the journey was.
She has a previous bill from the same taxi company, for a different journey, for $21.80.
How far was her last journey?
Answer:
362 kilometre
Step-by-step explanation:
Let a be the total cost of a journey
let b represent the total distance of a journey
$1.75 is a fixed charge of a journey
the additional charge is $0.10 for b distance ,hence total of additional charge is $.10 multiplied by b i.e 0.1 b
a=1.75+0.1b
a =37.90
37.90=1.75+0.1b
0.1b=37.90-1.75
0.1 b=36.15
b=36.15 /0.10
b=361.5
b=362 kilometre
For the journey that cost 21.80
21.80=1.75+0.1 b
0.1 b=21.80-1.75
0.1 b=20.05
b=20.05 /0.1
b=200.5
b =201 kilometre
Is a hole in a function a discontinuity?
Yes, a hole in a function is considered a type of discontinuity. A hole occurs when a point is missing from the graph of a function, which causes the graph to have a break in it.
A discontinuity is a break or jump in the graph of a function. A hole in a function is a type of discontinuity where a point is missing from the graph, causing the graph to have a break in it. This type of discontinuity is usually caused by a function having a denominator that is equal to zero, as this creates an undefined point on the graph. This can also occur when two parts of the function are not connected, causing an open gap in the graph. In both cases, the graph is not continuous and has a discontinuity at the point where the hole is present.
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Yes, the function has a hole in discontinuity.
The term function in math is called as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.
Here we to identify is a hole in a function a discontinuity.
the term discontinuity is defined as is discontinuous at a point if it becomes undefined or the limit at that point does not exist. And whether this point is known as the point of discontinuity.
While we looking the hole on a graph looks like a hollow circle. And which represents the fact that the function approaches the point, here it is not actually defined on that precise value. Where the major reason why this function is not defined at is because is not in the domain of the function.
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marked price of an article is rs 1500 what is selling price with 10 %vat
Answer:
if no discount is allowed
MP = SP = 1500
sp with vat = sp = vat amount
vat amount = vat% of sp
= 10% 0f 1500
= 150
sp with vat = sp = vat amount
= 1500 + 150
= 1650
which of the following expressions is equivalent to -10?
a.-7 3
b.-3 - 7
c.3 - 7
d.7 - 3
The expression which is equivalent to -10 is the option b, -3 - 7.
Explanation:
We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;
-3 - 7 = -10 (-3 - 7)
The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.
If we add -3 and -7 we will get -10. This makes the option b the correct answer.
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The number 2 in the expression 5+2x is called the coefficient of x. how does changing the coefficient to 6 change the meaning of the expression?
Changing the coefficient of x to 6 changes the meaning of expression as 5 is added to 6 times x
Solution:
Given that number 2 in the expression 5 + 2x is called the coefficient of x
We are asked to find what happens when changing the coefficient to 6 change the meaning of the expression
In the expression,
5 + 2x
This means 5 is added to 2 times x or 5 is added to twice of x
Number 2 is called coefficient of x
When we change this coefficient to 6, the expression becomes,
5 + 6x
So now the meaning of expression becomes,
5 is added to 6 times x
So changing the coefficient of x changes the meaning of expressionStep-by-step explanation:
Use the following information to complete parts a. and b. below. f(x) = 13 In x, a = 2 a. Find the first four nonzero terms of the Taylor series for the given function centered at a 39 13 OA. The firs
The first four nonzero terms of the Taylor series for the given function centered at a is 13 ln2 + (13/2)(x-2) + (-13/8)(x-2)² + (13/24)(x-2)³.
What is the Taylor series?
A function's Taylor series or Taylor expansion is an infinite sum of terms represented in terms of the function's derivatives at a single point. Near this point, the function and the sum of its Taylor series are equivalent for most typical functions.
Here, we have
Given: f(x) = 13 lnx at a = 2
We have to find the first four nonzero terms of the Taylor series for the given function centered at a.
f(x) = 13 lnx
f(2) = 13 ln2
Now, we differentiate with respect to x and we get
f'(x) = 13/x, f'(2) = 13/2
f"(x) = -13/x², f"(2) = -13/2² = -13/4
f"'(x) = 26/x³, f"'(2) = 26/8
Now, by the definition of the Taylor series at a = 2, we get
= 13 ln2 + (13/2)(x-2) + (-13/4)(x-2)²/2! + (26/8)(x-2)³/3!
= 13 ln2 + (13/2)(x-2) + (-13/8)(x-2)² + (13/24)(x-2)³
Hence, the first four nonzero terms of the Taylor series for the given function centered at a is 13 ln2 + (13/2)(x-2) + (-13/8)(x-2)² + (13/24)(x-2)³.
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evaluate 2ps for p=3 and s=5
A)30
B)23
C)6
D)10
Answer: the real answer for this will be p=3/2 and s=5
Step-by-step explanation: here
2p=3
2p/2=3b/2 divide both sides by 2
P=3/2
3/2 for p in s=5
S=5
S=5
Answer P=3/2 and s= 5
Got it
Hey there!
“Evaluate 2ps for p=3 and s=5”
• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!
• New equation: 2(3)(5)
2(3)(5)
2(3) = 6
6(5) = 30
Answer: A. 30 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
solve for the value of t
Answer:
24
Brainliest, please!
Step-by-step explanation:
68 + (5t - 8) = 180
5t + 60 = 180
5t = 120
t = 24
Answer:
24
Step-by-step explanation:
5t-8 and 68 are the angles of a straight line so their addition will be180°.
5t-8 + 68 = 180
5t + 60 = 180
5t = 180-60
5t = 120
t= 120/5
t= 24
Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought seventeen more. Write an expression for how many she has now
Answer:
n = s/2 + 17
n is how many she has now
s is original number of stamps
Step-by-step explanation:
book pages (x) price (y) a 500 $7.00 b 700 7.50 c 750 9.00 d 590 6.50 e 540 7.50 f 650 7.00 g 480 4.50 test to see if x and y are related. use 0.05 level of significance. what is the estimated price of a 500 pages book?
The estimated price for a 500-page book is $5.45 which is evaluated by using 0.05 level of significance.
To check on the off chance that there's a relationship between the number of pages and the bookshelf, we are able to perform a basic straight relapse analysis.
Using statistical software or a calculator, we can find that the regression equation is:
y = 2.35 + 0.0063x
where y is the price and x is the number of pages.
A theory test can be performed to test whether there's a critical relationship between x and y.
Null hypothesis:
There is no significant linear relationship between page count and book price.
Alternative hypothesis:
There is a significant linear relationship between page count and book price.
You can compute the t-statistic and corresponding p-value using a significance level of 0.05. With 5 degrees of freedom, the critical t-value is ±2.571.
Computing the t statistic gives:
\(t = (r * sqrt(n - 2)) / sqrt(1 - r^2)\)
where r = correlation coefficient and n = sample size. From the data we found:
r = 0.668
n=7
Plugging in these values gives:
t = (0.668 * square (7 - 2)) / square (1 - 0.668^2) = 2.56
The calculated t-value (2.56) is within the critical t-value (±2.571), so we cannot reject the null hypothesis.
This implies that there's not sufficient proof to conclude that there's a noteworthy straight relationship between book page count and price.
Be that as it may, you'll be able to utilize a relapse condition to assess the cost of a 500-page book.
y = 2.35 + 0.0063 (500) = $5.45
therefore, the estimated price for a 500-page book is $5.45.
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Hey guys!! Kon'nichiwa!!
Mata hanadesu!!
I need a little help with my homework today and I am so stuck on this right now!!(;ŏ﹏ŏ)
I hope you guys can help me out!!
Thanks if someone answer it!!
(≧▽≦)(ㆁωㆁ)
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Question 1 :
\(1.4 + 0.39\)\(1.79\)Question 2 :
\(12.54 - 1.054\)\(12.540 - 1.054\)\(11.486\)Question 3 :
\(3.1416 \times 0.75\)\( \dfrac{31416}{10000} \times \dfrac{75}{100} \)\( \dfrac{2356200}{1000000} \)\(2.356\)Question 4 :
\( \dfrac{52.804}{0.86} \)\( \dfrac{52804}{86} \times \dfrac{100}{1000} \)\(614 \times \dfrac{1}{10} \)\(61.4\)Question 5 :
\((21.34 + 6.213) \times 4.2\)\((21.340 + 6.213) \times 4.2\)\((27.553) \times 4.2\)\( \dfrac{27553}{1000} \times \dfrac{42}{10} \)\( \dfrac{1157226}{10000} \)\(115.7226\)
9. [4 marks] Simplify the following expression (4(1+x))² (42²)1/2 (z(1+x))-² (2z¹/2)4
The simplified expression is 16(1+x)² (42z(1+x))² (2z¹/2)4.
To simplify the given expression, let's break it down step by step:
We'll simplify each term one by one:
(4(1+x))²:
Using the property (a·b)² = a²·b², we have:
(4(1+x))² = 4²·(1+x)² = 16(1+x)².
(42²)1/2:
Since 42² is already squared, raising it to the power of 1/2 is equivalent to taking the square root:
(42²)1/2 = √(42²) = 42.
(z(1+x))-²:
The expression (z(1+x))-² represents the reciprocal squared of z(1+x).
The reciprocal of z(1+x) is 1/(z(1+x)), and squaring the reciprocal gives us (1/(z(1+x)))² = 1/(z(1+x))².
(2z¹/2)4:
To simplify this term, we can combine the exponent and multiply the coefficients:
(2z¹/2)4 = 2⁴·z⁴/² = 16z².
Combining all the simplified terms, we have:
16(1+x)² (42z(1+x))² 1/(z(1+x))² 16z².
Therefore, the simplified expression is 16(1+x)² (42z(1+x))² 1/(z(1+x))² 16z².
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what the slope of(4,-13) (8,-8)
Answer:
5/4
Step-by-step explanation:
1. -13 - -8 = -5
2. 4-8 = -4
3. -5/-4 = 5/4
Differentiation
Please help me!
Answer:
\( \frac{dy}{dx} = - 1 \frac{5}{9} \)
Step-by-step explanation:
Please see the attached picture for the full solution.
☆ \(\frac{1}{x} = x^{ - 1} \)
Choose the kind(s) of symmetry: point, line, plane, or none. (C)
========================================================
Explanation:
Plane symmetry only applies to objects in 3D space. So choice A won't apply.
Point symmetry is where we can rotate the object some number of degrees (between 0 and 360 excluding the endpoints) and have it line up with itself. We can't do such a rotation, so this figure has no point symmetry. We rule out choice B.
Choice C works since we can reflect the upper half of the letter over the horizontal midline to have its reflection line up with the lower half, and vice versa. There is only one line of symmetry here.
Choice D is not true since choice C was shown to be true.
Answer: Is c-line
Step-by-step explanation:
The guy above me got it right I just did the quiz
if r(t) = 2e2t, 2e−2t, 2te2t , find t(0), r''(0), and r'(t) · r''(t).
The required results from the given functions are t(0) = 0, r''(0) = (8, 8, 8) and r'(t) · r''(t) = 32(e^(4t) - 1 + 2te^(4t))
Given r(t) = 2e^(2t), 2e^(-2t), 2te^(2t)To find: t(0), r''(0), and r'(t) · r''(t).
We know that r(t) = 2e^(2t), 2e^(-2t), 2te^(2t)So, r'(t) will be: r'(t) = d/dt(2e^(2t), 2e^(-2t), 2te^(2t))= (4e^(2t), -4e^(-2t), 2e^(2t) + 4te^(2t))
And, r''(t) will be: r''(t) = d/dt(4e^(2t), -4e^(-2t), 2e^(2t) + 4te^(2t))= (8e^(2t), 8e^(-2t), 8e^(2t) + 8te^(2t))
Now, we need to find t(0): As we know, t is a scalar variable, it can be calculated only from the third component of r(t). Let us find it: 2te^(2t) = 0 => t = 0So, t(0) = 0r''(0): Putting t = 0 in r''(t), we get: r''(0) = (8e^0, 8e^0, 8e^0) = (8, 8, 8)
Also, we need to find r'(t) · r''(t):r'(t) · r''(t) = (4e^(2t), -4e^(-2t), 2e^(2t) + 4te^(2t)) · (8e^(2t), 8e^(-2t), 8e^(2t) + 8te^(2t))= 32e^(4t) - 32e^(0) + 16te^(4t) + 64te^(4t)= 32(e^(4t) - 1 + 2te^(4t))
Therefore, t(0) = 0, r''(0) = (8, 8, 8) and r'(t) · r''(t) = 32(e^(4t) - 1 + 2te^(4t)) are the required results.
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Admission to the fair is $8.50 and each ride costs $1.25. He has $40 to spend at the fair. write an inequality to represent the situation. Solve the inequality to determine the maximum number of rides Jaylen can enjoy.
PLSSSSS HELPPP IM TIMED AND I WILL MARK BRAINLIEST AND HELP OUT WITH UR QUESTIONS!!!
Answer:
8.50 divided by 1.25 then when u get the answer subtract 40
Answer:
25
Step-by-step explanation:
so instantly 40-8.50=31.5
The question is very vague because it doesn't state the number of rides he wants to go on in minimum.
if you do 1.25x25=31.25
According to that, he will leave with a change of 0.25 and obv u cannot go on half a ride...
So in about 2 mins i guess it is 25???
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good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
See off side word is used it will be deducted half each time n is used
So we get a geometric sequence.
So correct formula is
\(\\ \rm\longmapsto f(n)=128(1/2)^n,n>1\)
Option A is correct
Develop the B&B tree for each of the following problems. For convenience, always select x₁ as the branching variable at node 0. Maximize z = 3x₁ + 2.8% subject to 2x + 5.x₂ = 18 4.x₁ + 2x₂ = 18 X₁, X₂0 and integer
To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:
1. Start with the initial B&B tree, where the root node represents the original problem.
2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for
\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)
3. At each node, perform the following steps:
- Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.
- If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.
- If the LP solution is integer, update the current best solution if the objective value is higher.
- If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.
4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.
5. The node with the highest objective value among the integer feasible solutions is the optimal solution.
6. Optionally, backtrace through the tree to retrieve the optimal solution variables.
Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.
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In order to select new board members, the French club held an election. 20% of the 40 members of the club voted. How many members voted?
The number of members is an illustration of proportions, and there are 200 members in the club
How to determine the members that vote?The given parameters are:
French = 20%
French = 40
Let the number of members be x.
So, we have:
20% * x= 40
Divide both sides by 20%
x = 200
Hence, there are 200 members in the club
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6 The month of July has 31 days. Calculate the number of seconds in the month of July.
Answer:
2,678,400
Step-by-step explanation:
July : 31 days
Day : 24 hours
Hours : 60 minutes
Minute 60 seconds
1. 60 × 60 : 3600
2. 3600 × 24 : 86400
3. 86400 × 31 : 2678400
Pls like I got it wrong the first time :')
The month of July has 2,678,400 seconds as per the concept of multiplication.
To calculate the number of seconds in the month of July, we need to consider that each day has 24 hours, each hour has 60 minutes, and each minute has 60 seconds. Since July has 31 days, we can perform the following calculations:
Number of hours in July: 31 days x 24 hours = 744 hours.
Number of minutes in July: 744 hours x 60 minutes = 44,640 minutes.
Number of seconds in July: 44,640 minutes x 60 seconds = 2,678,400 seconds.
Therefore, the month of July has 2,678,400 seconds. This calculation assumes that there are no leap seconds added during this period. It's worth noting that the number of seconds in a month can vary if leap seconds are inserted to adjust for discrepancies between atomic time and solar time. However, since the question does not specify any leap seconds, the calculation provided represents the standard number of seconds in the month of July.
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Consider the following exponential probability density function. f(x) = 1/3 4 e^-x/3 for x > 0 a. Write the formula for P(x < x_0). b. Find P(x < 2). c. Find P(x > 3). d. Find P(x < 5). e. Find P(2 <.x <5).
The probability that x is less than 2 is approximately 0.4866. The probability that x is greater than 3 is approximately 0.3528. The probability that x is less than 5 is approximately 0.6321. The probability that x is between 2 and 5 is approximately 0.1455.
The given probability density function is an exponential distribution with a rate parameter of λ = 1/3. The formula for P(x < x_0) is the cumulative distribution function (CDF) of the exponential distribution, which is given by:
F(x_0) = ∫[0,x_0] f(x) dx = ∫[0,x_0] 1/3 * 4 * e^(-x/3) dx
a. Write the formula for P(x < x_0):
Using integration, we can solve this formula as follows:
F(x_0) = [-4e^(-x/3)] / 3 |[0,x_0]
= [-4e^(-x_0/3) + 4]/3
b. Find P(x < 2):
To find P(x < 2), we simply substitute x_0 = 2 in the above formula:
F(2) = [-4e^(-2/3) + 4]/3
≈ 0.4866
Therefore, the probability that x is less than 2 is approximately 0.4866.
c. Find P(x > 3):
To find P(x > 3), we can use the complement rule and subtract P(x < 3) from 1:
P(x > 3) = 1 - P(x < 3) = 1 - F(3)
= 1 - [-4e^(-1) + 4]/3
≈ 0.3528
Therefore, the probability that x is greater than 3 is approximately 0.3528.
d. Find P(x < 5):
To find P(x < 5), we simply substitute x_0 = 5 in the above formula:
F(5) = [-4e^(-5/3) + 4]/3
≈ 0.6321
Therefore, the probability that x is less than 5 is approximately 0.6321.
e. Find P(2 < x < 5):
To find P(2 < x < 5), we can use the CDF formula to find P(x < 5) and P(x < 2), and then subtract the latter from the former:
P(2 < x < 5) = P(x < 5) - P(x < 2)
= F(5) - F(2)
= [-4e^(-5/3) + 4]/3 - [-4e^(-2/3) + 4]/3
≈ 0.1455
Therefore, the probability that x is between 2 and 5 is approximately 0.1455.
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Using the given points, determine the slope.
(8, 1) and (8, -4)
slope = -5
slope = 0
slope is undefined
Answer:
slope is undefined
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-4 -1)/(8-8)
= -5/0
We cannot divide by zero so the slope is undefined
Answer:
Slope is undefined .
Step-by-step explanation:
(8, 1) (8, -4)y2 - y1
m = ---------------
x2 - x1
-4 - 1 -5
m = --------------- = ----- - = 0
8 - 8 0