Answer:Hope This Helps ☺️
Step-by-step explanation:
She is not correct because she did not substitute the same number in both expressions in Step 1
Step-by-step explanation:
CASE 1: substitute 1 for x to both sides of the equations
L.H.S
-(4x-5)+2(x-3)
-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3
R.H.S
-2x - 5
-2(1) - 5 = -2-5 = -7
Hence for x= 1
-(4x-5)+2(x-3) ≠ -2x -5
Because -3 ≠ -7
CASE 2: substitute -1 for x to both sides of the equations
L.H.S
-(4x-5)+2(x-3)
-(4 (-1) - 5)+ 2(-1-3) = - (-9) + 2(-4) = 9 - 8 = 1
R.H.S
-2x - 5
-2(-1) - 5 = 2-5 = -3
Hence for x= -1
-(4x-5)+2(x-3) ≠ -2x -5
Because 1 ≠ -3
Answer:
She is not correct because she did not substitute the same number in both expressions in Step 1
What is first quartile, third quartile, and interquartile range of 21 32 17 24 15 30 28 and 26. I found this quite confusing to understand
Given:
The data values are:
21, 32, 17, 24, 15, 30, 28 and 26.
To find:
The first quartile, third quartile, and interquartile range.
Solution:
We have,
21, 32, 17, 24, 15, 30, 28, 26
Arrange the data values in ascending order.
15, 17, 21, 24, 26, 28, 30, 32
Divide the data set in two equal parts.
(15, 17, 21, 24), (26, 28, 30, 32)
Divide each parenthesis in two equal parts.
(15, 17), (21, 24), (26, 28), (30, 32)
Now, the first quartile is:
[tex]Q_1=\dfrac{17+21}{2}[/tex]
[tex]Q_1=\dfrac{38}{2}[/tex]
[tex]Q_1=19[/tex]
The third quartile is:
[tex]Q_3=\dfrac{28+30}{2}[/tex]
[tex]Q_3=\dfrac{58}{2}[/tex]
[tex]Q_3=29[/tex]
The interquartile range is:
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=29-19[/tex]
[tex]IQR=10[/tex]
Therefore, the first quartile is 19, third quartile is 29 and the interquartile range is 10.
a rectangular field is 20m long and 15m wide.there is a path of uniform width all around it having an area of 450m^2.find the width of the path.
Answer:
22.5m
Step-by-step explanation:
450m²÷20m=22.5m
What is the correct value of x in the triangle
Answer: 4
Step-by-step explanation:
Using the 30°-60°-90° Triangle Theorem we know that the base side is half of the hypotenuse. That means it is half of 8 which is 4
We want to know what percentage of the population have college degrees. We take a sample of 100 individuals and find that 28 have college degrees. Answer the following, rounding your answers to 2 decimal places. a. What is the sample proportion? b. Find the SE. c. Construct a 95% confidence interval. d. What does this 95% confidence interval tell us about our population proportion p? (One sentence is the perfect length for an answer)
Answer:
a) p = 28/100 p = 0,28 or p = 28%
b) SE = 0,0448
c) CI 95 % = ( 0.1921 ; 0.368 )
We can support with 95 % of confidence that the proportion of people with a College degree would be found within these limits
Step-by-step explanation:
a) Sample proportion: Is the number of positive success divide by sample size
That is from 100 ( individuals) ( sample size ) it was found that 28 had College degree ( positive success)
Then p = 28/100 p = 0,28 or p = 28%
b) The standard error is
SE = (√p*q)/n
p = 0,28 then q = 1 - 0,28 q = 0,72
SE = √ (0.28)*(0.72)/100
SE = √0.002016
SE = 0,0448
c) CI = 95 % then significance level is α = 5 % α = 0.05
α/2 = 0.025
From z- table we find z(c) = 1.96
Then CI 95 % = p₀ ± z(c) * SE
CI 95 % = 0.28 ± 1.96*0.0448
CI 95 % = ( 0.28 ± 0.088 )
CI 95 % = ( 0.1921 ; 0.368 )
d) We can support with 95 % of confidence that the proportion of people with college degree would be found within these limits
What is the missing statement in the proof?
Explanation:
Statements 2 through 3 set up the "S" parts of "SAS", which are the two congruent pairs of sides. Then between those sides is the angle "A", which is what statement 1 refers to. The order is important because SAS is a valid congruence theorem but SSA is not a valid congruence theorem. So the angle must be between the sides.
determine the volume of a cylinder if its height is 5mm and a radius of 12mm
Answer:
Step-by-step explanation:
V = pi * r^2 * h
r = 12 mm
h = 5 mm
pi = 3.14
V= 3.14 * 12^2 * 5
V = 3.14 * 144 * 5
V = 2260.8 cm^3
Can you explain it if you could I don’t get it
Step-by-step explanation:
The Triangle Sum Theorem states that the interior angles of a triangle add up to 180 degrees. A square for an angle symbolizes that the angle is 90 °, as is the case with angle ∠ACB.
Therefore, as ∠CAB = 2x and ∠ABC = 3x, and angles ∠ACB, ∠CAB, and ∠ABC make up the interior angles of the triangle, we can say that ∠ACB + ∠CAB + ∠ABC = 180, so 90 + 2x + 3x = 180
90 + 2x + 3x = 180
90 + 5x = 180
subtract 90 from both sides to separate the x and its coefficient
5x = 90
divide both sides by 5 to separate the x
x = 18
(a) ∠CAB = 2x = 18(2) = 36
(b) ∠ABC = 3x = 18(3) = 54
(c) Any triangle with a 90° angle is called a right triangle. This has a 90° triangle, and is therefore a right triangle. Similarly, a 90° angle in a triangle is called a right angle.
Write an equation for the graph below using its zeros.
Answer:
Step-by-step explanation:
It's a cubic.
It has 1 root that cuts the x axis at x = -4
It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.
y = (x + 4) (x - 3)(x - 3)
Notice the sign change. x has to have sign change when going from a root to a binomial
The root is - 4. The binomial is (x + 4)
The same argument works for x = 3
For this problem you have to solve for m
Answer:
81
Step-by-step explanation:
RZT = 137
RZS = 56
SZT = 137 - 56 = 81
The junior senator can do a labyrinth in 50 minutes. The senior senator can do a labyrinth in 30 minutes. Working together, how many minutes would it take them to work their way through 12 labyrinths?
Answer:
[tex]225\:\text{minutes}[/tex]
Step-by-step explanation:
To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.
In 10 minutes, the junior senator can complete [tex]\frac{10}{50}=\frac{1}{5}[/tex] of the labyrinth.
In 10 minutes, the senior senator can complete [tex]\frac{10}{30}=\frac{1}{3}[/tex] of the labyrinth.
Therefore, working together, they can complete [tex]\frac{1}{5}+\frac{1}{3}=\frac{8}{15}[/tex] of the labyrinth in 10 minutes. Thus, it will take them [tex]\frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes}[/tex] to complete one labyrinth.
The amount of time it take them to complete 12 labyrinths is then [tex]18.75\cdot 12 =\boxed{225\:\text{minutes}}[/tex]
Travis bounced a ball20 feet and San bounced a ball 32 feet high. How much higher did Sam bounce the ball?
Answer:32-20=12
Step-by-step explanation:
Answer:
12 feet
Step-by-step explanation:
60% higher than Travis
PLEASE HELP
I REALLY NEED ALOT OF HELP
Answer:
i think its A or C so im gonna say C if not im soooooooooooooooooo sorry <3
Step-by-step explanation:
What equation created the table on the left?
What equation created the table on the right?
Answer:
Equation on the left table: y = 3/5x
Equation on the right table: y = 3/5x - 2
Identify the arc length of AD◠ in terms of π.
HELP PLZZ!! I'M CONFUSED!!
Answer:
≈ 3.91π in.
Step-by-step explanation:
IT is given that ∠APC = 92 and PB = 8 in. The arc length of AD is ≈ 3.67π in.
What is Arc length?Arc length is defined as the distance between two points along a section of a curve.
IT is given that
∠APC = 92 and PB = 8 in
As ∠APC and ∠APD are formed in linear pairs.
So,
∠APC + ∠APD = 180∘
∠APD = 180 - ∠APC
∠APD = 180∘ − 92∘
∠APD = 88∘
Now, the length of the arc will be,
= Ф/360 2πr
= 88/360 x 2 x π x 8
=88/360 x 16π
=352/90 x π
≈ 3.91π in.
Hence, the arc length of AD is ≈ 3.91π in.
Learn more about Arc length here:
brainly.com/question/16403495
#SPJ2
May i get some help from anybody
Answer:
m<UVW = 156°
Step-by-step explanation:
Given:
m<PVW = 130°
m<UVP = 26°
Required:
m<UVW
Solution:
m<UVP + m<PVW = m<UVW (Angle Addition Postulate)
Substitute in the given values
26° + 130° = m<UVW
156° = m<UVW
m<UVW = 156°
Together, teammates Pedro and Ricky got 2679 base hits last season. Pedro had 283 more hits than Ricky. How many hits did each player have?
Pedro had base hits
Answer:
Pedro: 1481 Base hits
Ricky: 1198 Base hits
Step-by-step explanation:
First, take the total amount of base hits last season 2679, then subtract how many more Pedro has 283.
2679 - 283 = 2396 now divide the sum in half 2396 ÷ 2 = 1198 that gives you how many each player has, you're then going to add the amount that you took off to only Pedras total since he had 283 more
Pedro: 1198 + 283 = 1481
Ricky: 1198
[tex]50.705 \div 2.646[/tex]
Answer:
19.1628873772
Step-by-step explanation:
50.70500 ÷ 2.64600 = 19.1628873772
What is the explicit rule for the geometric sequence?
600,300,150,75,
Answer:
[tex]a_{n} = 600/2^{n-1}[/tex]
This the correct answer
Question 19 of 25 The graph of F(x) shown below resembles the graph of G(X) = x4, but it has been vertically stretched. Which of the following could be the equation of F(x) ? 5 5 ÜL O A F(x) = -1x*
plzz help it's due today
Answer:
B
Step-by-step explanation:
Say the point below point B is point C.
AB belongs to triangle ABC.
To find hypotunuse AB, we need BC and AC so that we can use pythagorean thereom.
BC is already given --> 1.
AC is a diagonal of the rectangular prisms's base.
We already have 2 sides for the triangle that the base diagonal belong's to.
AC^2 = 4^2 + 6^2
AC^2 = 16 + 36 = 52
AC = √52
Now we have AC ad BC. We can find AB using pythagorean thereom.
AC^2 + BC^2 = AB^2
(√52)^2 + (1)^2 = AB^2
52 + 1 = AB^2
AB^2 = 53
AB = √53
option B
3(x + 1)2 = 108
Create a list of your steps
Answer: 17
Step-by-step explanation:
3(x+1)2=108
Distribute the 3 first: (3x+3)2=108
Then divide by 2 on both sides: 3x+3= 54
Subtract 3 from both sides: 3x=51
Divide by 3 on both sides: x=17
Solve 7x-c=k for x
...........
Answer:
The value of x in given question will be [tex]x=\frac{k+c}{7}[/tex]
Step-by-step explanation:
Given data:
7x-c=k
Now,
7x-c=K
7x=K+c
[tex]x=\frac{k+c}{7}[/tex]
Therefore,
The value of x in given question will be : k+c/7
The Pythagoras Theorem
Answer:
The Pythagoras theorem is a mathematical
law that states that the sum of squares of
the lengths of the two short sides of the
right triangle is equal to the square of the
length of the hypotenuse.
Step-by-step explanation:
a^2+b^2=c^2
mia is making a set of clay bowls . each bowl requires 3/4 pounds of clay .she has 5 5/6 pounds of clay . how many complete bowls can mia make
Answer:
7 bowls
Step-by-step explanation:
Thực hiện phép nhân, rút gọn rồi tính giá trị của biểu thức :
a) x(x - y) + y(x + y)
tại x = -6 và y = 8;
b) x(x - y) = x^(x + y) + yx2 – x) tại x =
1
và y = -100,
2
Answer:
i do not understand what youre asking
Step-by-step explanation:
see^^^^^
Plzz help me with this question.
A gardener uses a rainwater collection barrel (storage container) shaped like a right cylinder to store water for his plants. The barrel has a radius of 1.5 feet and a height of 3.5 feet. The gardener plans to build a small square fence so that the barrel just fits inside the square fence as shown here.
Which of the following is the best approximation of the perimeter of the fence the gardener will build?
A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet
Answer:
Option C
Step-by-step explanation:
Barrel (storage container) is enclosed in a small square fence.
Since, barrel is touching the surfaces from four sides of the cylindrical barrel.
Length of each side of the square fence = Diameter of the barrel
= 2(radius of the barrel)
= 2(1.5)
= 3 feet
Perimeter of a square = 4(Side of a square)
= 4(3)
= 12 feet
Therefore, Option C will be the correct option.
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
i think its contrast
Step-by-step explanation:
it s sayin this awncer is equal to the other one.
A hot air balloon holds 4,328 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? (5 points)
Question 7 options:
1)
3,747.9 kg
2)
3,875.3 kg
3)
772.5 kg
4)
4,383.2 kg
Answer: 3) 772.5 kg
Step-by-step explanation: That's what I got and I'm 100% sure that's the answer
Answer:
The answer 772.5
Step-by-step explanation:
You would use the density formula to figure out the mass.
Density = mass/volume
We have the density of helium (0.1785) and the volume of how much the hot air balloon can hold (4,328).
0.1785 = x / 4,318
0.1785 * 4,318 = x
772.548 = x
Then rounded to the nearest tenth would be 772.5, the third option.
Find the difference.
100 – (-87)
Answer: 187
Step-by-step explanation:
negative cancels negative so that will turn to positive. (-) x (-) = +
100- (-87)
=
100 + 87
= 187
Answer:
187
Step-by-step explanation:
100 - (-87)
100 + 87
187
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