Answer:
x=pi*n/2+1/2arctan(7/5)
Step-by-step explanation:
5sin(2x)=7cos(2x)
5tan(2x)=7/5
2x=pi*n+arctan(7/5)
x=pi*n/2+1/2arctan(7/5) for n e Z
After taking your Freshman English class, you notice there is quite a difference between the students in the classes related to your Business major and your general education requirements. You believe it comes down to a difference in verbal and math abilities. You are interested in seeing how your English classmates performed on two parts of the SAT. You randomly collect data from 28 students on their Math SAT score (population
1), and randomly select another 25 students and collect data on their Verbal SAT score (population
2). After entering the data into Excel you obtain the following output: t-Test: Two-Sample Assuming Unequal Variances Q=0.05 Math SAT Verbal SAT Mean 668. 7604 701.888 Variance 3826.406 6944.827 Observations 28 25 Hypothesized Mean Difference 0 df 44 t Stat P(T<=t) one-tail t Critical one-tail 1.68 P(T<=t) two-tail t Critical two-tail 2.01 What is the value of the test statistic to test if math and verbal scores differ in the SAT exam?
a. -1.479
b. There is not enough information to answer this question
C. -1.627
d. 30.116
e. 30.116
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The sample size for Math SAT is [tex]n_1 = 28[/tex]
The sample size for Verbal SAT is [tex]n_2 = 25[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\mu_1 - \mu_2}{ \sqrt{\frac{\sigma^2_1 }{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]
substituting 668. 7604 for [tex] \mu_1[/tex] , 701.888 for [tex] \mu_2[/tex], 3826.406 for [tex] \sigma_1^2[/tex] , 6944.827 for [tex]\sigma_2^2[/tex]
So
[tex]t = \frac{668.7604 - 701.888}{ \sqrt{\frac{3826.406}{28} + \frac{6944.827}{25} } }[/tex]
=> [tex]t = 1.627[/tex]
In a casino in Atlantic City, there are two slot machines: one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20 % of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random and put a coin into it. Given that you lose that first bet estimate the probability that the machine you selected is the more generous of the two machines.
1. What do I know?
2. What do I want to find out?
3. What do I expect the answer to be?
4. How do I go from what I know to what I want to find?
5. Is the answer consistent with what I expected?
Answer:
probability = 0.5294
1) what i know is that there are two machines
2) the probability of choosing a machine that pays 20% of the time
3) expected answer = 0.5294 = 52.94%
4) buy making some assumptions while making the calculations
5) yes
Step-by-step explanation:
Given data:
Number of machines = 2
Assuming probability of machine 2 = 20% = 0.20
Assuming probability of machine 1 = 10% = 0.10
since both machines have the ability to be generous i.e. pay 20% all the time
P( machine 1 is generous ) = P( machine 2 is generous ) = 0.5
this is since there are only two machines
hence find the probability that the chosen machine ( machine 1 ) is the generous machine after the player losses its first bet
P ( Machine 1 is generous | first bet lost )
= [tex]\frac{P( machine 1 is generous n lost) }{p(lost)}[/tex] = [tex]\frac{(1-p(pays|machine 1 is generous))*p(machine 1 is generous)}{[((1-0.10)*0.5)+ ((1-0.20)*0.5)]}[/tex]
= [tex]\frac{(1-0.10)*0.5}{0.85}[/tex] = 0.5294
This the probability that Machine 1 is generous after the player losses the first bet
1) what i know is that there are two machines
2) the probability of choosing a machine that pays 20% of the time
3) expected answer = 0.5294 = 52.94%
4) buy making some assumptions while making the calculations
5) yes
NEED HELP GIVING 20 POINTS
Answer:
-5
Step-by-step explanation:
Just substitute the values and use a calculator to solve.
Does anyone know this please
What is the greatest common factor of 21, 35, and 49?
Answer:
GCF = 7
hope this helps
Answer:
:)
Step-by-step explanation:
21 = 3 • 7, 35 = 5 • 7, 49 = 72
go add the snap carmel.bratz
Solve for b.
ab +c=d
Answer:
[tex]ab + c = d \\ ab = d - c \\ b = \frac{d - c}{a} [/tex]
Which expression is not equivalent to -3x1/2+4y
Answer:
The second expression
Step-by-step explanation:
the term in x is not - 3 x
Jasmine paid $64.50 for a bracelet, after tax, and the tax rate is 7.5%. What was the original price of the bracelet?
Answer:
About $59.66
Step-by-step explanation:
To find the amount of tax was paid, multiply 64.50 by 0.075 (because 0.075 = 7.5%). This would be 4.8375, which when rounded is 4.84. You subtract 64.50 by 4.84 to get 59.66, but because I rounded, it is about $59.66.
Answer:
60
Step-by-step explanation:
First, change the percentage to a decimal and write the equivalence of the sales tax amount. Let x be the original cost of the item.
Sales tax amount =x⋅0.075
Next, substitute the value into the equation:
Original Cost + Sales Tax Amount = Total Cost
x+0.075x=64.50
Add like terms.
1.075x=64.50
Divide both sides by 1.075 to isolate the unknown value.
x=$60
What is the weight of Jim's dog? Jim's dog is
lbs *
1 pc
16.23 lb
Weight of John's Dog
Weight of Jim's Dog
?
?
Answer:
See Explanation
Step-by-step explanation:
See attachment for complete question:
Our word problem could.
The relationship between weight of Jim's dog and John's dog is shown below.
a. Calculate the weight of John's dog?
b. Calculate the difference in weight of both dogs?
Solution:
a. Weight of John's Dog
Given
Represent John's dog with J and Jim's dog with D
[tex]J = 16.23\ lb[/tex]
From the attachment, we can see that.
[tex]D = \frac{1}{3} * J[/tex]
[tex]D = \frac{1}{3}J[/tex]
To solve for D, substitute 16.23 for J
[tex]D = \frac{1}{3} * 16.23[/tex]
[tex]D = 5.41[/tex]
Hence: Jim's Dog is 5.41lb
b. Difference in Weight
Difference is calculated as thus:
[tex]Difference = J - D[/tex]
[tex]Difference = 16.23 - 5.41[/tex]
[tex]Difference = 10.82[/tex]
Here are four logos.
Which two logos have more than one line of symmetry?
Answer:
A and C
Step-by-step explanation:
A and C
Thank you
The logos have more than one line of symmetry are Option(c) and Option (1)
What is a line of symmetry?
A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged. A square has 4 lines of symmetry, as shown below.
According to the question
Logos have more than one line of symmetry
are option A and Option C
As in Option A if we cuts the shape exactly in half along lines marked in circle
There half will be same
so , there are 3 lines of symmetry in option A.
Now, In option 4
if we cuts the shape exactly in half along the middle of horizonal and vertical side of square figure
There half will be same
So , there are 2 lines of symmetry in option C.
Hence, The logos have more than one line of symmetry are Option(c) and Option (1) .
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Solve.
X-9 = 12
.....
Answer:
x=21
Step-by-step explanation:
x=9+12 x=21
Answer:
Step-by-step explanation:
X-9=12
Reverse the operation into
9+12=x
9+12=21
Now check
21-9=12
Which expression is equivalent to Sine (StartFraction pi Over 12 EndFraction) cosine (StartFraction 7 pi Over 12 EndFraction) minus cosine (StartFraction pi Over 12 EndFraction) sine (StartFraction 7 pi Over 12 EndFraction)?
Answer:
EndRoot Over 2 EndFraction
StartFraction pi Over 6 EndFraction, StartFraction StartRoot 3 EndRoot Over 2 EndFraction
On using the trigonometric identity sin(x-y) = sin(x)cos(y) - cos(x)sin(y), we calculate that [tex]sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) =sin(\frac{-\pi }{2} )[/tex].
What are trigonometric identities?Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain.
[tex]=sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) \\\\=sin(\frac{\pi }{12} -\frac{7\pi }{12})\\ \\ =sin(\frac{-\pi }{2} )[/tex]
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M
(
x
)
=
log
(
x
0.001
)
M
(
x
)
=
log
(
x
0.001
)
Answer:
0
Step-by-step explanation:
Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?
Answer:
uh
Step-by-step explanation:
gygygyg
Kalib rented a car for 5 days while on vacation in Miami. His total bill was $279. How much
the rental car cost him each day?
Answer:
he would pay 55.8 dollars each day for 5 days
Step-by-step explanation:
An elevator is 2/3 full. The people in the elevator weigh 1/3 ton altogether. How many tons can the elevator carry when it is completely full?
1/2 ton
2 ton
1 tons
1/6 ton
Answer:
Half of a ton
Step-by-step explanation:
2/3 of the elevator are already full and the elevator already weighs 1/3 of ton.The elevator needs 1/3 more of people to make the elevator full so that would be half of 1/3 of a ton which is a sixth.So add 1/6 and 1/3 together ams you get 1/2.
A line has slope 3 and y-intercept 4.
Which answer is the equation of the line?
O y = 3x + 4
Oy= 3x -4.
O y= 3/4x-4
O y = 4x + 3
Answer:
y = 3x +4
Step-by-step explanation:
In slope-intercept form, the equation of a line is ...
y = mx + b
Where m is the slope (3) and b is the y-intercept (4).
Putting the given numbers in the equation, it becomes ...
y = 3x +4
What is (-i)^6 ?
A. 1
B.-1
C. -i
D. i
Answer:
I think it's D I'm probably wrong
Answer:
B. -1
Step-by-step explanation:
4. Write two different ways you can find 125% of 8.
Answer: METHOD 1 Determine the part by multiplying the percent and the whole:METHOD 2 Determine 25% of 8:
125\% \times 8=1.25\times 8=10
125%×8=1.25×8=10
Step-by-step explanation:
How much work is required to lift a 2.90 kg object from the bottom of a well 8.7 m deep?
Answer:
THE ANSWER IS YOU CAN DO IT BECAUSE YOUR SMART!!!!!
Step-by-step explanation:
A company had a loss of -$1,786.50 over the past 1.5 years. What was the company's average loss per year?
Answer:
A COMPIONY FARTED AND THEN YEAH 13256326
Step-by-step explanation:
What is the measure of ZA degrees?
Answer:
Since this is an isosceles triangle, the angles opposite to the equal sides will also be equal
Therefore,
angle ABC = angle ACB
We are given that angle ACB is 30 degrees
Hence, angle ABC = 30 degrees
We know that according to the angle sum property, the sum of all interior angles of a triangle is 180 degrees
So, angle ABC + angle ACB + angle CAB = 180 degrees
replacing the variables with values we already know
30 + 30 + angle CAB = 180
angle CAB = 180 - 60
angle CAB = 120 degrees
Hence the measure of angle A is 120 degrees
Simplify the given equation.
6 - (3x + 10) + 4(2 - x) = 15
Options:
4 - 7x = 15
4 - 4x = 15
12 - 7x = 15
Answer:
4 - 7x = 15
Step-by-step explanation:
I think not sure
are two squares with the same side lengths scaled copies of one another explain your reasoning
Answer:
no
Step-by-step explanation:
if they have the same side lengths, then neither of the squares were scaled up nor down. they're the same size, so they're just copies of each other
2. A student measured the mass and volume of three different-sized samples of sand. He then calculated the
density of each sample. His results are shown below.
Sand Sample
1
2
3
Mass (8)
10
15
20
Volume (ml)
4.5
5.6
6.7
Density (g/mL)
2.2
2.7
3.0
How do you know just by looking at the "Density" column that the student made errors in his investigation?
9514 1404 393
Answer:
we expect the results to have less spread
Step-by-step explanation:
The spread between the maximum and minimum is almost 1/3 of the average of those values (0.8 vs 2.6). We expect repeated measurements of the same physical value to be well within 5% of their mean if they are done carefully.
The investigation has errors because the spread is too great.
Can somebody help me find the perimeter of this figure?
Answer:
I'm not exactly sure but
try 36inches??
Answer:
your answer is 36 inches.
Step-by-step explanation:
Okay, so you see how the 8 in has one dash. So you see how many one dashes there are and you have 2 so then you add that together and you get 16. Same thing with the 5in you have 4 two dashes. So then you add 16+20 and get 36.
Mark me brainliest pLZ!!!!!!
The Parker family went to the carnival. When everyone was ready for lunch, Dad bought 4 drinks for $3.25 and 4 hot dog plates with chips for $8.00. He also used a coupon for $2.00 off the price of lunch. How much did Dad pay for lunch altogether?
Which system of equations is equivalent to the following system?
4x + y = 4
2x + 7y = 28
Answer:
the third one
-28x-7y=-28
2x+7y=28
Step-by-step explanation:
for the first one, the 2x+7y=28 is being multiplied by -1, but its not being distributed correctly (28 is incorrect, it should be -28)
for the second one, the 2x+7y=28 is being multiplied by -4, but again, is not being distributed correctly (112 is incorrect, it should be -112)
for the fourth one, 4x+y=4 is being multiplied by -2, but its not being distributed correctly (8 is incorrect, it should be -8)
The system of equations equivalent to the given system is -28x -7y = -28, 2x + 7y = 28, the correct option is C.
What is System of Equation?The system of equation is set of equations which have a common solution.
The system of equation is,
4x +y = 4
2x +7y =28
The equations can be solved using Substitution method, elimination method and by plotting the graph.
In substitution method, the value of one variable from an equation is substituted in the other equation.
4x +y = 4
y = 4 - 4x
This will be substituted in the equation 2
2x + 7 (4-4x) = 28
2x +28 - 28x = 28
-26x = 0
x = 0
Putting this value in equation 1 , y = 4.
In elimination method, one of the variable is eliminated to solve the system of equation.
To eliminate y, the equation 1 will be multiplied by -7,
-28x -7y = -28
2x + 7y = 28
This is equivalent to the original system of equation.
Adding the equations will yield
-26x = 0
x = 0
y = 4.
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A board 60 in long is cut into two parts so that the longer piece is 5 times the shorter. What are the two lengths of the two pieces ?
The shorter piece is _____ a° in
the longer piece is _____a° in
Answer:
Longer piece: 50 in
Shorter piece: 10 in
Step-by-step explanation:
Lets make the shorter piece = x
Leta make the longer piece = 5x
Since the longer piece is 5 times the shorter, this is why we put 5x, because 5 times the shorter. We also have to find the two lengths of the pieces which in total equals 60 in.
x + 5x = 60 in
If we substitute the x to 10:
10 + 50 = 60 in
10 in = shorter length
50 in = longer length
Which mapping best represents the function f(x) = 2x2 + 5x + 3 when the domain is {–1, 0, 3}?
Answer:
Step-by-step explanation:
Given the function f(x) = 2x^2 + 5x + 3 with the domain {-1, 0, 3}, to get the mapping that best represents the function, we will have to find the codomain of the function given by substituting the domain values into the function;
when x = -1
f(-1) = 2(-1)^2 + 5(-1)+ 3
f(-1) = 2 - 5+ 3
f(-1) = 0
when x = 0
f(0) = 2(0)^2 + 5(0)+ 3
f(0) = 0+0+ 3
f(0) = 3
when x = 3
f(3) = 2(3)^2 + 5(3)+ 3
f(3) = 18+15+ 3
f(3) = 36
Hence the mapping is {0,3,16}
