Answer:
The correct answer is: Because the P-value < a = 0.05, there is convincing evidence that the true proportion of players who win this game differs from 0.10.
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 150 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
The amount of solution A and B required are 60 and 90 ounces respectively.
Creating simultaneous equations for the problem:
Mass of solution A = a
Mass of solution B = b
a + b = 150 _____(1)
0.65a + 0.90b = 150×0.80
0.65a + 0.90b = 120 __(2)
From (1)
a = 150-b ____(3)
substitute (3) into (2)
0.65(150-b) + 0.90b = 120
97.5 - 0.65b + 0.90b = 120
0.25b = 120-97.5
0.25b = 22.5
b = 22.5/0.25
b = 90
a = 150 - b
a = 150 - 90
a = 60
Therefore , 60 ounces of solution A and 90 ounces of solution B is required.
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The distance around the outside of an apartment is 0.3 mile. Keira ran 0.1 of the distance during her lunch. How far did she run?
Answer:
0.1
Step-by-step explanation:
Solve the problem : 3(x-4) = -3
Answer:
x = 3
Step-by-step explanation:
Step 1:
3 ( x - 4 ) = - 3 Equation
Step 2:
3x - 12 = - 3 Multiply
Step 3:
3x = 9 Add 12 on both sides
Step 4:
x = 9 ÷ 3 Divide
Answer:
x = 3
Hope This Helps :)
21 divided 4 equals 5 1/4 in a word problem
Answer:
5.25
alternate form
21/4,5/¼
4.
B
А.
Angle A is 135º. What is angle B? (show math and explain why)
30
40
R
P
60°
What is the measure of ZPTQ?
120
S
140°
180°
120°
100°
Answer:
140°
Step-by-step explanation:
Since we know that a circle is 360 degrees, and we are given three angles, we can subtract what we know from 360 to get ∠PTQ:
360 = 120 + 60 + 40 + ∠PTQ
360 = 220 + ∠PTQ
-220 -220
140 = ∠PTQ
∠PTQ = 140°
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which side in PLWRK corresponds to XS of XCMES
A. PK
B. WK
C. RL
D. RW
Answer:
A) PK
Step-by-step explanation:
Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 0If you invest this money $7,185.51 each month in an account that compounds monthly with an APR of 2.5%, how much will you have saved i) after 1 year? ii) after 3 years?
He would have saved $87,221.02 after 1 year
He would have saved $268,335.90 after 3 years
What is an ordinary annuity?
An ordinary annuity means a fixed amount invested at specific intervals, in this case, $7,185.51 is invested monthly, which means that its future value can be computed using the future value formula of an ordinary annuity as shown below:
FV=PMT*(1+r)^N-1/r
FV=future value of an ordinary annuity
PMT=monthly payment invested every month
r=monthly interest rate=annual interest/12
N=number of months that monthly payments were
FV after 1 year:
PMT=$7,185.51
r=monthly interest rate=2.5%/12=0.00208333333333333
N=number of months in 1 year=12
FV=$7,185.51*(1+0.00208333333333333)^12-1/0.00208333333333333
FV=$7,185.51*(1.00208333333333333)^12-1/0.00208333333333333
FV=$7,185.51*0.02528845698324970/0.00208333333333333
FV=$87,221.02
FV after 3 years:
PMT=$7,185.51
r=monthly interest rate=2.5%/12=0.00208333333333333
N=number of months in 3 years=36
FV=$7,185.51*(1+0.00208333333333333)^36-1/0.00208333333333333
FV=$268,335.90
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19. Rae supervises a loading dock. She
needs to have 140 cartons loaded into
a truck for delivery. By lunch, 119
cartons have been loaded. What
percent of the job is finished?
Answer:
85% of the job is finished.
Step-by-step explanation:
The way to find the percentage is to divide 119 by 140, which will come out to be .85.
Multiply .85 by 10 to have it as a whole number for the percentage.
What is the slope of the function?
–10
- 5
5
10
Answer:
?
Step-by-step explanation:
what is the function?
a slope going up means it is positive and a slope going down means it is negative
Luis earned 3% interest on the $780 he had in his account. How much money did he have in total?
Answer: $803.4
Step-by-step explanation: he earned 3% on interest so that means the equation is 780 + 3% (correct me if i'm wrong) so 780 + 3% is $803.4 which is 803 dollars and 4 cents
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Compare negative one and six tenths repeating and negative five thirds using symbols <, >, or =. negative one and six tenths repeating is less than negative five thirds negative one and six tenths repeating is greater than negative five thirds negative five thirds is equal to negative one and six tenths repeating negative five thirds is greater than negative one and six tenths repeating
Answer:
-1 6/10
is greater than
- 5/3
Step-by-step explanation:
The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below.
The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
How to identify the transformation?The functions for this problem are defined as follows:
Parent function: y = |x|.Transformed function: y = 2|x|.When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.
Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
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14. The
Lesson 5
Potential Energy of a System
off the ground an object is, the
the potential energy!
Answer:
"distance"
and "force of"
ur welcome
Calculus 2 Master needed, show steps with partial fraction decomposition \(\int(3x^2-26x+26)/((x-5)(x^2+4))} \, dx\)
Answer:
-ln|x−5| + 2 ln(x²+4) + 3 tan⁻¹(x/2) + C
Step-by-step explanation:
The fraction will be split into a sum of two other fractions.
The first fraction will have a denominator of x − 5. The numerator will the a polynomial of one less order, in this case, a constant A.
The second fraction will have a denominator of x² + 4. The numerator will be Bx + C.
\(\frac{3x^{2}-26x+26}{(x-5)(x^{2}+4)}=\frac{A}{x-5} +\frac{Bx+C}{x^{2}+4}\)
Combine the two fractions back into one using the common denominator.
\(\frac{A}{x-5} +\frac{Bx+C}{x^{2}+4}=\frac{A(x^{2}+4)+(Bx+C)(x-5)}{(x-5)(x^{2}+4)}\)
This numerator will equal the original numerator.
\(A(x^{2}+4)+(Bx+C)(x-5)=3x^{2}-26x+26\\Ax^{2}+4A+Bx^{2}-5Bx+Cx-5C=3x^{2}-26x+26\\(A+B)x^{2}+(C-5B)x+(4A-5C)=3x^{2}-26x+26\)
Match the coefficients.
\(A+B=3\\C-5B=-26\\4A-5C=26\)
Solve the system of equations.
\(A=-1\\B=4\\C=-6\)
So we can rewrite the integral as:
\(\int {(\frac{-1}{x-5}+\frac{4x-6}{x^{2}+4}) } \, dx\)
Solving:
\(\int {\frac{-1}{x-5}\, dx + \int {\frac{4x}{x^{2}+4}} \, dx - \int {\frac{6}{x^{2}+4} } \, dx\)
\(-\int {\frac{1}{x-5}\, dx + 2\int {\frac{2x}{x^{2}+4}} \, dx - 6\int {\frac{1}{x^{2}+4} } \, dx\)
\(-ln|x-5| + 2ln(x^{2}+4) - 6(\frac{1}{2} tan^{-1}(\frac{x}{2} )) + C\)
\(-ln|x-5| + 2ln(x^{2}+4) - 3 tan^{-1}(\frac{x}{2} ) + C\)
Jug A contains 6/7 as much water as Jug B.Jug C contains 3/5 as much water as Jug A.Find the ratio of the volume of water in Jug B to the volume of water as Jug C.
The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.
Let's assume the volume of water in Jug B is x.
According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.
Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].
To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:
(x) / [(3/5) * (6/7) * x]
Simplifying the expression, we get:
x / (18/35 * x)
The x values cancel out, leaving us with:
1 / (18/35)
To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:
1 * (35/18)
The final ratio is:
35/18
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What line is parallel to y=5x+2 ?
Answer:
i think this is a awer
Step-by-step explanation:
n example of a line parallel to y = 5x - 2 would be y = 5x + 6. The difference between the two lines is where they cross the y-axis. Another example would the line in standard form, 10x - 2y = 8.Nov 9, 2015
Answer:
y=5x +6
Another example would the line in standard form, 10x - 2y = 8.
Use a compass and straightedge to construct an equilateral triangle in which PQ is
one side. Your final answer should be exactly three blue line segments (including the
one already drawn).
Select a tool (compass, segment, ray, line, undo
Based on the information, the line segments PR and QR and PQ to form an equilateral triangle.
How to explain the triangleThe three blue line segments are PQ, PR, and QR. In order to construct an equilateral triangle with PQ as one side using a compass and straightedge:
1. Draw a line segment PQ.
2. Place the compass at point P and draw a circle with radius PQ.
3. Without changing the radius of the compass, place the compass at point Q and draw another circle.
4. The intersection of the two circles is point R.
Draw line segments PR and QR to form an equilateral triangle.
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Answer:
Based on the information, the line segments PR and QR and PQ to form an equilateral triangle.
How to explain the triangle
The three blue line segments are PQ, PR, and QR. In order to construct an equilateral triangle with PQ as one side using a compass and straightedge:
1. Draw a line segment PQ.
2. Place the compass at point P and draw a circle with radius PQ.
3. Without changing the radius of the compass, place the compass at point Q and draw another circle.
4. The intersection of the two circles is point R.
Draw line segments PR and QR to form an equilateral triangle.
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Explain why there must be at least two lines on any given
plane
The correct answer is:
there must be at least two lines on any plane because a plane is defined by 3 non-collinear points.
Explanation:
Since a plane is defined by 3 non-collinear points, we could have: a line and a point not on that line; two intersecting lines; two parallel lines; or simply 3 non-collinear points.
For 3 non-collinear points: If none of the 3 points are collinear, then we could have 3 lines, 1 going through each point. These lines may or may not intersect. If two of the 3 points are collinear, then we have a line through those 2 points as well as a line through the 3rd point.. Again, these lines may intersect, or they may be parallel.
HELP PLEASE!! ASAP!!
Answer:
f(x) = -3x+1
Step-by-step explanation:
every straight graph has an equation f(x) = m * x + b
when the graph goes up when you look at it from left to right, m is a positive number. when it goes down, then m is negative.
the value of m you can read when you go 1 to the right and then count how many you need to go up/down to meet the graph. in this picture, you need to go down 3.
So m = -3
b is how many you habe to go up (+) or down (-) from the center point 0
so in this case you see on the picture that the graph is hitting the y line on 1
so your equation is -3x + 1
reduce 9/14 to simplest terms
Hope this helps!! :]
Answer:.
Step-by-step explanation:
300 feet above sea level??
Answer:
300
Step-by-step explanation:
if it is 300 feet ABOVE sea level, then it is a positive answer.
you would want to look for the words 'above' or 'below' if it is talking about sea level.
Find
a + b, 6a + 8b, |a|, and |a − b|
Answer:
a+b=(6,3)
6a+8b=(54,16)
a=(-3,4)
a-b=(-12,5)
Find the volume of a hemisphere that has a diameter of 26 inches. Leave your answer in notatioType 'pi' to represent Pi
The formula for finding the volume a hemisphere is given by
\(V_{\text{hemisphere}}=\frac{2}{3}\pi r^3\)Given the diameter of 26inches, the radius would be
\(\begin{gathered} \text{radius,r}=\text{diameter,d}\frac{diameter,d}{2}=\frac{26inches}{2} \\ r=13\text{inches} \end{gathered}\)Substituting for r in the volume of a hemisphere will give
\(\begin{gathered} V_{\text{hemisphere}}=\frac{2}{3}\times\pi\times13^3 \\ =\frac{2}{3}\times2197\pi\text{ cubic inches} \\ =1464.67\pi\text{ cubic inches} \end{gathered}\)Hence, the volume of the hemisphere is 1464pi cubic inches
43 • 4-6 = 45 • 4p
pls answer fast
Answer:
83/90
Step-by-step explanation:
43*4=172
172-6=45*4p
166=45*4p
166=180p
166/180=p
83/90=p
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Gwen is building a fence around a square play area for her puppy. She wants the play area to be 256 feet squared. How many feet long should she build the play area
Answer:
64 feet of fencing needed
Step-by-step explanation:
sqrt(256)=16
16*4=64
Gwen need to build 64 feet of fencing around the square play ground.
What is a quadrilateral?
quadrilateral is a plane mathematical closed figure consist of four side and four edges. There are 7 types of quadrilateral.
Trapezium, Parallelogram, Rectangle, Rhombus, Square, Kite.
Here, it is given that Gwen wants a play ground squared shaped of 256 feet.
Firstly, Now let us find out the side of square a play ground to be fenced which will be :
a² = 256 feet²
a = √256
a = 16 feet
Now lets find the fencing length around a square play area for her puppy that will be equals to the 4 times of side of square that is :
perimeter of square fence = 4a
= 4x16
= 64 feet.
Therefore, Gwen need to build 64 feet of fencing around the square play ground.
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What is the solution to the following system of equations? y=8-x 7=2-y
Answer:
y = -5
-5 = 8x
-x = -13
x = 13
Step-by-step explanation:
-x + 9
if x is -9 what is the answer
Answer:
Plug in x -[-9]+918Give brainlistAnswer:
18
Step-by-step explanation:
So you have -x + 9.
Plug in -9 for x.
-(-9) + 9
A negative negative is actually a positive.
9 + 9 = 18
Hope this helped! :)
Sketch the graph of the solution set of the system of inequalities. Label the vertices of the region. 3x + 7y < 21 x > 0 y > 0
The graph of the equations 3x + 7y < 21, x > 0, and y > 0 are attached
The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph
What are inequality graph?The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.
These inequalities are frequently linear and can be represented by straight line graphs.
To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.
A solid line indicates that the line is present.
The line is not included if it is dotted.
The graphs for the equation is plotted and attached
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