Answer:
mean : 85.6
mode : 95
median : 90
range : 35
Step-by-step explanation:
B The mean
The reason why is because it shows the average test score of all the students .
C The mean would decrease because there is more numbers to divide by after adding all of them together .
Evaluate the expression when g= 14 and h=63.
h
9+
Х
5
?
Answer:
[tex]23[/tex]
Step-by-step explanation:
[tex]g+\frac{h}{7}[/tex]
[tex]g=14[/tex][tex]h=63[/tex][tex]14+\frac{63}{7}[/tex]First, divide 36 by 7:
[tex]\frac{63}{7}=9[/tex]Add 14 and 9:
[tex]14+9=23[/tex]________________________
For the standard normal distribution, the area between z = 0 and z = 1.70, rounded to four decimal places, is:
Using normal distribution table, the area between z=0 and z=1.70 is the difference between p(z=0) and p(z=1.70). Hence, the area between z=0 and z = 1.70 is 0.4554
Using a normal distribution table :
P(Z < 0) = 0.5 P(Z < 1.70) = 0.95543The Area between z=0 and z= 1.70 is defined as the difference between the probabilities of (z < 1.70) and (z < 0)
P(Z < 1.70) - P(Z < 0) = 0.95543 - 0.5 = 0.45543
Therefore, the area between z = 0 and z = 1.70 rounded to four decimal places is 0.4554
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Factorise x²-4y² mmmmm
Answer:
(x + 2y)(x − 2y)
Step-by-step explanation:
x² - 4y²
(x + 2y)(x − 2y)
Which is the solution to 5 <3x + 17 <71?
Answer:
D is the most likely answer
Step-by-step explanation:
this problem is strange, but knowing that 3x + 17 has a domain of all reals, all of them are possible, so the only limits are 5 and 71...
Enter the equation of the line in the form y=mx+b, where m is the slope and b is the y-intercept.
Answer:
slope intercept form is "y= -3/2+6"
Gain is calculated on the selling price. t or false
Answer:
true its true ..
Step-by-step explanation:
we can know our profit or loss by our selling price
A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the model? Round to the nearest tenth if needed.
Answer:
50.2in or 4.2ft
Step-by-step explanation:
This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.
Mb = model building = 18in
Mw= model window = [tex]\frac{1}{9}[/tex]in
Rb = real building = 678ft = 8136in
Rw = real window = ?
[tex]\frac{Mw}{Mb}[/tex] = [tex]\frac{Rw}{Rb}[/tex]
[tex]\frac{1/9}{18}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1}{9*18}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1}{162}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1*8136}{162}[/tex]= [tex]\frac{8136*Rw}{8136}[/tex]
[tex]\frac{8136}{162}[/tex] = Rw
[tex]\frac{452}{9}[/tex] = Rw
Rw ≈ 50.2in ≈ 4.2ft
Factor the expression
(3x − 6) (4x² − 1) – (2x − 4) (4x² + 4x + 1)
Step-by-step explanation:
[(3x − 6) (4x² − 1)] – [(2x − 4) (4x² + 4x + 1)]
>[3(x-2) (2x+1)(2x-1)]-[2(x-2)(4x²+2x+2x+1)
>[3(x-2)(2x+1)(2x-1)]-[2(x-2){2x(2x+1)+1(2x+1)}]
> 3(x-2)(2x+1)(2x-1)-2(x-2)(2x+1)²
> (x-2)(2x+1) [3(2x-1)-2(2x+1)]
> (2x²-3x-2)(6x-3-4x-2)
> (2x²-3x-2)(2x-5).
hope this helps you.
Nyesha owns a lawn service company. Currently it takes her 50 hours a week to service all of her
customers. To reduce the number of hours a week she needs to work, Nyseha hires Shantese to
help her. While Nyesha was on vacation, Shantese was able to complete all of the work in 60 hours.
If Shantese and Nyesha work together, after Nyesha returns from facation, how long will it take
them to service all their customers?
Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]
Where:
x = Numerator
y = Denominator.
To solve the above question, we would be applying the operations of the addition of fractions.
It will take both of them [tex]27\frac{3}{11}[/tex] hours if they worked together.
From the question,
Nyesha takes 50 hours a week to render services to her customers.
Shantese takes 60 hours a week to do the same amount of work.
Let us represent the number of hours it will take them both to decorate the room working together as "T"
Hence,
1/T = 1/50 + 1/60
Lowest Common Denominator for (50, 60 ) = 300
Hence,
1/T = 6 + 5 / 300
1/T = 11/300
Find the reciprocal of both sides
T = 300/11 hours
T = [tex]27\frac{3}{11}[/tex] hours
Therefore, it will take them both of them [tex]27\frac{3}{11}[/tex] hours in they both work together.
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If you sell $1000 worth of popcorn, then your Boy Scout dues are free. Ethan sold $1000 worth of popcorn. Conclusion: Ethan's Boy Scout dues are free.
This conclusion was draw using the law of contrapositive
This conclusion was draw using the law of detachment
This conclusion was draw using the law of syllogism
An invalid conclusion was made
120 degrees and 5x+1
solve for x
Answer:
x=9
Step-by-step explanation:
180 =120+5x+15
60=5x+15
45=5x
9=x
help me calculate the perimeter of this shape
Answer:
24m
Step-by-step explanation:
8+10=6=24 because you add to find perimeter.
Answer:
Perimeter = 24 m
Step-by-step explanation:
Perimeter = S +S+S
=(8+10+6)
=24m
Hope that this is helpful. Have a nice day.
Pleaseee Help me plzz
Answer:
70
Step-by-step explanation:
How long will it take for a $2000 investment to grow to $2786 at an annual rate of 4.6% , compounded quarterly? Assume that no withdrawals are made.
Answer:
7.4
Step-by-step explanation:
use the compound interest formula
I=P(1+r/100)<n
2786=2000(1+4.6/100)^n
divide 2000 by both side
1.393=(1+4.6/100)^n
1.393=1.046^n
introduce the log
log1.393=rlog1.046
divide both with log1.046 to get the value of n
n=7.4
PLEASE HELP
d=2r show all steps pls
Answer:
Step-by-step explanation:
1.1 Solve d-2r = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line d-2r = 0 and calculate its properties
Lindsey spent a total of $47 on her mother for her birthday. She bought a $35 box of chocolates and
some balloons for $4 each. What is x, the number of balloons that Lindsey bought for her mother's
birthday?
This is the math problem
35+4x=47
Explain why is correct the word problem
Answer:
3 ballons
Step-by-step explanation:
47-35=12
4x3=12
leni can decorate the room in 4 hours. her sister lucy do the same jobin 3 hours working together, how long will take them to finish the job
Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]
Where:
x = Numerator
y = Denominator.
It will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.
To solve the above question, we would be applying the operations of the addition of fractions.
From the question,
Leni can decorate the room in 4 hours. This means in 1 hour, Leni can paint 1/4 of the room.
Lucy, her sister can decorate the room in 3 hours. This means in 1 hour, lucy can decorate 1/3 of the room.
Let us represent the number of hours it will take them both to decorate the room working together as "T"
Hence,
1/T = 1/4 + 1/3
Lowest Common Denominator for (3, 4 ) = 12
Hence,
1/T = 3 + 4 / 12
1/T = 7/12
Find the reciprocal of both sides
T = 7/12 hours or can be expressed in decimals as 0.583 hours.
Therefore, it will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.
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What is seven divided by 2?
PLEWSE HELP ASAP THIS IS DUE NEXT PERIOD
Rewrite each equation in standard form.
3. y-2=-(x+7)
Answer:
y-2=-x-7
Step-by-step explanation:
i think this helps
Answer:
x + y = - 5Step-by-step explanation:
The standard form of linear equation:
ax + by = cConvert the given from point- slope to standard form:
y - 2 = - (x + 7)y - 2 = - x - 7x + y = - 7 + 2x + y = - 5please help me
please I will make you brainliest
[tex]\\ \sf\longmapsto a+\dfrac{1}{a}=\sqrt{3}[/tex]
[tex]\\ \sf\longmapsto \left(a+\dfrac{1}{a}\right)^3=\sqrt{3}^3[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}+\dfrac{3a^2}{a}+\dfrac{3a}{a^2}=3\sqrt{3}[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}+3a+\dfrac{3}{a}=3\sqrt{3}[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3\sqrt{3}-3a-\dfrac{3}{a}[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3\left(\sqrt{3}-a-\dfrac{1}{a}\right)[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3(0)[/tex]
[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=0[/tex]
ProvedAnswer:
Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)
Equating (1) and (2)
6n+5=a+(n−1)d
6n+5=a+nd−d ..... (3)
Equating n terms:6n=nd
d=6 ...... (4)
Substituting (4) in (3)
6n+5=a+6n−6
5=a−6
a=11 ..... (5)
Now
Sn=2n(2a+(n−1)d)
Sn=2n(a+Tn) ....... (6)
Substituting (1) and (5) in (6)
Sn=2n(11+6n+5)
Sn=2n(16+6n)
Sn=n(8+3n)
Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)
Equating (1) and (2)
6n+5=a+(n−1)d
6n+5=a+nd−d ..... (3)
Equating n terms:6n=nd
d=6 ...... (4)
Substituting (4) in (3)
6n+5=a+6n−6
5=a−6
a=11 ..... (5)
Now
Sn=2n(2a+(n−1)d)
Sn=2n(a+Tn) ....... (6)
Substituting (1) and (5) in (6)
Sn=2n(11+6n+5)
Sn=2n(16+6n)
Sn=n(8+3n)
Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)
Equating (1) and (2)
6n+5=a+(n−1)d
6n+5=a+nd−d ..... (3)
Equating n terms:6n=nd
d=6 ...... (4)
Substituting (4) in (3)
6n+5=a+6n−6
5=a−6
a=11 ..... (5)
Now
Sn=2n(2a+(n−1)d)
Sn=2n(a+Tn) ....... (6)
Substituting (1) and (5) in (6)
Sn=2n(11+6n+5)
Sn=2n(16+6n)
Sn=n(8+3n)
Maggie has a bank account balance of -18.37 as soon as she realizes this she deposits 24.50 in the account
Answer:
correct the answer is 6.13
Step-by-step explanation:
The required current balance in Maggie's bank account is 6.13.
Given that,
Maggie has a bank account balance of -18.37 as soon as she realizes this she deposits 24.50 in the account.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
initial balance in Maggies's bank account = -18.37
She deposited 24.50 in her bank account,
The current balance in her bank account = Initial balance + money deposited
Current = 24.50 - 18.37
Current balance = 6.13
Thus, the required current balance in Maggie's bank account is 6.13.
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The length of the base of an isosceles triangle is x. The length of a leg is 5x – 3. The perimeter of the triangle is 60. Find x.
X
Answer: x = 6
Step-by-step explanation:
The perimeter of the isosceles triangle = 2 leg + base
Since the perimeter = 60
then 60 = 2(5x - 3) + x
60 = 10x - 6 + x
60 + 6 = 11x
6 = x
Find an equation of the line that satisfies the given conditions.
x-intercept: 8; y-intercept: 6
Answer:
3x+4y-24=0.
Step-by-step explanation:
if the common form of the required equation is
[tex]\frac{x}{a} +\frac{y}{b} =1, \ where \ a;b \ are \ x-intercept;y-intercept,[/tex]
then the required equation is:
[tex]\frac{x}{8} +\frac{y}{6} =1[/tex]
or 3x+4y-24=0.
4) Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each
session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet
or exceed her weekly practice goal?
Answer:
12
Step-by-step explanation:
So, she practices 12 hrs per week, and already has practiced 3 hrs this week.
This means she has 9 hrs left to practice.
3/4 of an hour is one session, so to find out the number of sessions she needs, you have to do (9 hours)/(one session)
which is basically 9 / ( 3/4)
[tex]\frac{9}{3/4}=\frac{9}{1} / \frac{3}{4} = \frac{9}{1} * \frac{4}{3} = \frac{36}{3} = 12[/tex]
She needs 12 more sessions.
Find the equation in slope-intercept form of the line parallel to y = 4x + 23 and passes through the point (2,3).
Answer: y=4x-5
Step-by-step explanation:
The slope of y=4x+23 is:4 m=4
The parallel line needs to have the same slope of 4
Solve it using the "point-slope" equation of a line: y− y1 = 2(x − x1)
substitute or put in the point (2,3):
y − (3) = 4(x − 2)
y - 3 = 4x - 8
put it in slope intercept form y = mx + b
y = 4x − 5
The movie began at 7:30 and lasted 90 minutes at what time did the movie end?
Answer:
9:00
Step-by-step explanation:
hope this helps
hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
C) 1 ¼
Step-by-step explanation:
.25 = ⁴/⁴ ÷ .25 = ¼
ñññññ
Answer:
The choice C)
[tex]1 \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]1.25 = \frac{5}{4} = 1 \frac{1}{4} [/tex]
I hope I helped you^_^
The list represents the number of cars
sold and the bonus received by the
salespeople of a car dealership.
{(1, 50), (2, 50), (3, 100), (4, 150)
Answer:
What is the question
Step-by-step explanation:
can somebody answer this? thankyu
Answer:
1. 3, 12, 48, 192, 768 Ratio: x4
2. 8, 16, 32, 64, 128 Ratio: x2
3. 120, 60, 30, 15, 7.5 Ratio: ÷2
4. 5, 10, 20, 40, 80, 160 Ratio: x2
5. 1.3?, 4, 12, 36, 108, 324 Ratio: x3
Hope this helps!
I'm not sure about the first one on question 5 though.
How to graph a linear function equation
Answer:
1. Evaluate the function at an input value of zero to find the y-intercept.
2. Identify the slope. (change of y/change of x)
3. Plot the point represented by the y-intercept.
4. Use rise over run (rise/run) to determine at least two more points on the line.
5. Draw a line that passes through the points.
