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14
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2x = 4y + 8, x - 2y = 4
System of Equations
Answer:
Step-by-step explanation:
2x=4y+8
divide by 2
x=2y+4
and x-2y=4
or x=2y+4
so both the equations represent the same line.
A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 47% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is
Answer:
The correct response is "0.0129".
Step-by-step explanation:
Given:
[tex]n=1500[/tex]
[tex]p=0.47[/tex]
[tex]np=1500\times 0.47[/tex]
[tex]=705[/tex]
[tex]nq=1500\times (1-0.47)[/tex]
[tex]=795[/tex]
Mean of sampling distribution will be:
[tex]\mu_\hat{p}[/tex] = [tex]0.47[/tex]
hence,
The standard deviation will be:
⇒ [tex]\sigma_\hat{p}[/tex] = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
By putting the values, we get
= [tex]\sqrt{\frac{0.47(1-0.47)}{1500} }[/tex]
= [tex]0.012886686[/tex]
= [tex]0.0129[/tex]
Abraham set the table for a picnic using round plates. Each plate has a diameter of 8 inches. What is the area of each plate?
Answer:
50.265
Step-by-step explanation:
Area is radius square times pi. Radius is half of diameter .Diameter is 8 inches. Radius is 4 inches. 4 squared is 16. 16 times pi is 50.265
Can someone help me explain this question? :( I have to record myself answering it and send it to my teacher
What is the effect on the graph of f(x) if it is changed to f(x) + 7, f(x + 7) or 7f(x)?
Step-by-step explanation:
The function f(x)+7 will shift the parent function up 7 units.
The function f(x+7) will shift the parent function to the left 7 units.
The function 7f(x) will stretch vertically by a factor of 7.
What is the slope of the graph?
Given circle O below, if arc AB and arc CD are congruent, what is the measure of angle COD?
Answer:
C. 70°The measure of angle CODStep-by-step explanation:
hope it helps
One triangle has an angle of 81 degrees and the corresponding angle of the other triangle is 2x - 5 degrees, find the value of x?
Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.
Therefore, we can set both equations equal to each other:
[tex]2x-5=81^{\circ}[/tex]
Add 5 to both sides:
[tex]2x=86[/tex]
Divide both sides by 2:
[tex]x=\frac{86}{2}=\boxed{43}[/tex]
An ice cream cone is 4 in across and 6 in deep. A scoop of ice cream with a diameter of 4 inches is placed on top. If the ice cream completely melts, how much ice cream spills out of the cone? Round answer to two decimal places.
Answer:
8.373
Step-by-step explanation:
Cone
Find the volume of the cone
V = 1/3 pi r^2 h
r = d/2
r = 4/2
r = 2 inches
h = 6 inches
pi = 3.14
V = 1/3 * 3.14 * 2^2 * 6
V = 25.12
Half sphere
V = 1/2 (4/3) pi r^3
r = 2 from above calculation
pi = 3.14
V = 2/3 * 3.14 * 2^3
V = 2/3 * 3.14 * 8
V = 16.74
Nothing spills out so I scoop must be a whole sphere. The sphere is 2 times what I calculated it to be or
V = (4/3) * 3.14 * 2^3
V = 33.49 cubic inches
The difference in volume is 33.49 - 25.12 = 8.373
Which of the following expressions is equivalent to the one shown below? (3/2)8 A 3^8/2^8 B 3^8/2 C 3/2^8 D 8•(3/2)
Answer:
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan
Answer:
1.06
Step-by-step explanation:
cos41⁰ = 0.8 ÷ X
X = 0.8 ÷ cos41⁰
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a right triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
x = Hyp (for this question)
Cos(41) = 0.8 / Hyp
use your algebra skillz
Hyp = 0.8 / Cos(41)
use your calculator to fund Cos(41) into 0.8
Hyp = 1.060010395 (that's all the decimal places my calc would go out to )
x = 1.1 ( rounded to nearest 10th )
How do we write a set -builder method ?
Answer: 6(1,2,3)
Step-by-step explanation:
Which ordered pair is a solution of 2x+4y=6x-y
Answer:
5y=4x
Step-by-step explanation:
After 3 points have been added to every score in a sample, the mean is found to be M 5 83 and the standard deviation is s 5 8. What were the values for the mean and standard deviation for the original sample
Answer:
Hence the value for the mean is 80 and the standard deviation for the original sample is 8.
Step-by-step explanation:
Mean = 83-3 = 80.
Here the standard deviation didn't change = 8.
Find the area of the shape below.
11 cm
14 cm
9 cm
20 cm
Answer:
length divided by breadth divided by height
pls add me as brainliest
Solution:
20 - 1 1 = 9 cm
We can divide figure in 2 parts
rectangle = 14 cmx 11 cm
square = 9 cm x 9 cm
Area of rectangle = 14 * 11 = 154 cm²
Area of square = 9 * 9 = 81 cm²
Total area = 154 + 81
= 235 cm²
10. The product of two numbers is -30. The sum of the two numbers is 13. Find
the two numbers.
Answer:
1) 2 × (-15) = -30
It could be 1+12 2+11 3+10 4+9 5+8 6+7 any of those
PLISSSSSS HELP!!!!!!!!!!!!!
i will give brainliest.....
Product is multiplication.
First multiply 0.7 by 2:
0.7 x 2 = 1.4
Because there is only one number to the left of the decimal point the scientific notation remains the same 10^4
The answer is 1.4 x 10^4
SOMEONE HELP ME QUICK!!!
Answer:
75% probability
Step-by-step explanation:
calculating the total ratio and percentage
I need this ASAP!! Please Help!!
In the diagram, XY is congruent to YZ and the measurement for the arc XQZ is 199 degrees. Find the measurement of the arc YZ in degrees. Show work if can please.
How many solutions are there to the system of equations graphed below if the lines are parallel? A. Zero B. One C. Two D. Infinitely many
Answer:
A) 0
Step-by-step explanation:
The solution is a couple (x, y) that are the coordinates of the intersection point of the lines.
If the lines are parallel there is no intersection and no solution to the system of equations
The required, system of the equation of the line shown in the graph has no solution. Hence option A. Zero is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Two parallel lines with some space between them are shown on the given graph. The system of equations indicated by the lines cannot be solved since there is no intersection point between them. This indicates that there isn't an x or y value that simultaneously solves both equations.
Thus, option A. zero is correct.
Learn more about simultaneous equations here:
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2c(u-6)+(u-6) complete the expression
Answer:
the answer to the expression is u=4
I need help I’m rubbish at maths and I really don’t know
❤️❤️
Answer:
160 cm³
Step-by-step explanation:
→ Write down the formula for the volume
Length × Width × Height
→ Find each value
Length = 4, Width = 4 and Height = 10
→ Substitute into formula
4 × 4 × 10 = 160 cm³
the quadratic function f(x) = ax² + bx + c has tge minimum point (-2,-9) ans f(-1) = -7 Find (a) values of a,b and c
i'll mark u brainliest pls,help
Hello again,
"katie deleted your answer to the question Hello,a=2, b=8, c=-1Indeed,y=f(x)=ax...
You've been warned"
Answer is a=2, b=8 and c=-1
Indeed:
y=f(x)=ax²+bx+c
Since (-2,-9) is the vertex,
y=k*(x+2)²-9
Or f(-1)=-7 ==> -7=k*(-1+2)²-9 ==> k=2
f(x)=2(x+2)²-9=2*(x²+4x+4)-9=2x²+8x+8-9
f(x)=2x²+8x-1
A proof: the picture is following.
In circle B with m \angle ABC= 74m∠ABC=74 and AB=12AB=12 units find area of sector ABC. Round to the nearest hundredth.
Answer:
92.99
Step-by-step explanation:
The value of area of sector ABC is,
Area = 93.05 square units.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
In circle B;
⇒ m ∠ABC = 74° and AB = 12 units
Hence, We can formulate;
The value of area of sector ABC is,
Area = (angle / 360) π r²
Area = (74/360) × 3.14 × 12²
Area = 93.05 square units.
Thus, The value of area of sector ABC is,
Area = 93.05 square units.
Learn more about the circle visit:
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Consider the following proportion:
2 12
— -—
7 x
Use cross products to write the equation: 2x = 84.
What is the value of x?
[tex]\displaystyle\bf 2x=84\\\\x=84:2=42\\\\\boxed{x=42}[/tex]
which statements are true about the target function? Check all that apply.
tan(PAB) = y/x
tan(APB) = x/y
tan(PAB) = sin(PAB)/cos(PAB)
tan(PAB) = cos(PAB)/sin(PAB)
tan(PAB) = PB/AB
Answer:
A, B, C, E.
Step-by-step explanation:
.
HELP WILL GIVE BRAINLIEST
Answer:
6
Step-by-step explanation:
Follow 1 hour on the y axis to where it meets the line of best fit. In this case it is about 6 puzzles.
Given that u=4,t=5,a=10and s=it+1\2at
x^3+5x^2+3x+15 factor the polynomial
Answer:
(x+5) (x^2+5)
Step-by-step explanation:
x^3+5x^2+3x+15
Using factoring by grouping
x^3+5x^2 +3x+15
x^2(x+5) + 3(x+5)
Factor out (x+5)
(x+5) (x^2+5)
Answer:
( x + 5 ) (x² + 3)
Step-by-step explanation:
x³ + 5x² + 3x + 15
factor out x²
x² ( x + 5 ) + 3x + 15
factor out 3
x² ( x + 5 ) + 3 ( x + 5 )
factor out x + 5 from the expression
( x + 5 ) (x² + 3)
Ten years from now, Abdul will be twice as old as his son pavel ten years ago, Abdul was seven times as old as pavel how old are Abdul and pavel now?
Answer:
Age of Pavel = y - 10
→ x - 7y = -60. Now, Calculating X. Hence, Present age of Abdul = 38.
Step-by-step explanation:
hope this is helpful.
someone help me for this algebra task please
Answer:
The answer is
[tex]4+ x[/tex]
Using the definition of linear equation,
[tex]y = 4 + x[/tex]
Is the answer.