Answer:
T is 1, S is 2, J is 3, D is 4 ... hope that helps : )
Plz solve this is for a test and I have a f soooo-
The answer is 12/2, well that's what I got.
Either way this question might get deleted so yeah
12
Step-by-step explanation:
12 divided by 2 is 6. so this would be the answer.
solve the equation:
\(4 \sqrt{3 - \frac{1}{x} } - \sqrt{ \frac{x}{3x - 1} } = 3\)
Are the solutions of the equation solutions of
\( \frac{(1 - 2x)^{2} \times (x^{2} - 9) }{ -{x}^{2} - x + 6} \geqslant 0\)
?
Answer:
Step-by-step explanation:
\(4\sqrt{3-\frac{1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\4\sqrt{\frac{3x-1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\\\put ~\sqrt{\frac{3x-1}{x}} =a\\4a-\frac{1}{a} =3\\4a^2-1-3a=0\\4a^2-4a+1a-1=0\\4a(a-1)+1(a-1)=0\\(a-1)(4a+1)=0\\a=1,-\frac{1}{4}\\\)
\(\sqrt{\frac{3x-1}{x} } =1\\3x-1=x\\3x-x=1\\2x=1\\x=\frac{1}{2}\)
when a=-1/4
\(\sqrt{\frac{3x-1}{x} } =-\frac{1}{4} \\\)
\(\frac{3x-1}{x} =\frac{1}{16} \\48x-16=x\\47x=16\\x=\frac{16}{47}\)
\(\frac{(1-2x)^2 \times (x^2-9)}{-x^2-x+6} \geq 0,\\both ~numerator ~and~denominator ~are~of~same~sign.\\\frac{(1-2x)^2(x^2-9)}{-x^2-3x+2x+6} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{-x(x+3)+2(x+3)} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{(x+3)(-x+2)} \geq 0\\(1-2x)^2\geq 0~(always)\\x\neq -3\\case.~1.\\both~numerator~and~denominator >0\\\frac{x-3}{-x+2} \geq 0\\x-3\geq 0\\x\geq 3\\-x+2> 0\\-x>-2\\x<2\\so~ solution~ is~ (-\infty,-3)U(-3,2)U[3,\infty)\)
case 2.
both numerator and denominator are negative.
\(x-3\leq 0\\x\leq 3\\-x+2\leq 0\\-x\leq -2\\x\geq 2\\solution~is~(-\infty,-3)U(-3,3]U[2,\infty)\)
1.17 suppose you throw five dice and all outcomes are equally likely. (a) what is the probability that all dice are the same?
(a) 1, 2, 3, 4, 5, 6; equally likely
(b)Outcome Probability:
1/6, 1/6 , 1/6, 1/6, 1/6, 1/6
Yes, because these values cover the entire sample space.
In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or outcomes of that experiment.
Probability:
Probability is the branch of mathematics that deals with numerical descriptions of how likely an event or how likely a statement is to be true. The probability of an event is a number between 0 and 1, with 0 representing an impossibility and 1 representing certainty, roughly speaking. The higher the probability of an event, the higher the probability of an event occurring. A simple example is a fair (unbiased) coin toss. Since the coin is fair, both outcomes are equally likely. The probability of an "eagle" is equal to the probability of a "tail". And since no other outcome is possible, the probability of getting heads or tails is 1/2.
According to the Question:
Since, the 5 dice is thrown equally at a same time then the probability that all the dice are same is 1/6
Therefore, total Number of cases = n(s) = 6× 5 = 30
On the first roll you may get a number that has not been drawn before. The probability of throwing a new number on the second roll is 5/6. You only have a chance of 4/6 on the third roll, 3/6 on the fourth, then 2/6, and 1/6 on the last roll.
Therefore,
The probability of throwing a different number each time is the product of all these probabilities: 5!/6⁵ or about 1.5% .
Complete Question:
(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely?
(b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.)
Do the probabilities add up to 1? Should they add up to 1? Explain.
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A coffee table is on sale for 15% off the original price of $125.
If there is 6% sales tax, what is the final price of the coffee table?
Answer:
112.625
Step-by-step explanation:
im not good at explaining
1. 125/X 100/15
2. 125 x 15= 1875
3. 1875 / 100 = 18.75
now gotta subtract since 18.75 is 15% of 125
4. 125 - 18.75 = 106.25
The tax
106.25/X 100/6
106.25 x 6 = 637.5
637.5 / 100 = 6.375
106.25 + 6.375 = 112.625
so 112.625 is the price of the coffee table
this was a lot of work
In a 2-sample z-test for two proportions, you find the following: X1 = 24 n1 = 200 X2 = 17 my = 150 You decide
to run a test for which the alternative hypothesis is Hj: p1 > p2- Find the appropriate test statistic for the
test. Enter the test statistic - round to 4 decimal places. Z =
The appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).
To find the appropriate test statistic for a 2-sample z-test for two proportions, we need to calculate the standard error and then use it to compute the z-score. The formula for the standard error is:
SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]
Where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.
In this case, we have the following values:
X1 = 24 (number of successes in sample 1)
n1 = 200 (sample size 1)
X2 = 17 (number of successes in sample 2)
n2 = 150 (sample size 2)
To calculate the sample proportions, we divide the number of successes by the respective sample sizes:
p1 = X1 / n1 = 24 / 200 = 0.12
p2 = X2 / n2 = 17 / 150 = 0.1133
Now, we can plug these values into the formula to calculate the standard error:
SE = sqrt[(0.12 * (1 - 0.12) / 200) + (0.1133 * (1 - 0.1133) / 150)]
SE ≈ 0.0319
Finally, the test statistic (z-score) is calculated by subtracting the two sample proportions and dividing by the standard error:
Z = (p1 - p2) / SE
Z = (0.12 - 0.1133) / 0.0319
Z ≈ 0.2103
Therefore, the appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).
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All 8th grade students at a school answered Yes or No on the two survey questions shown
Do you have a cell phone? Yes___ No___
Do you have and MP3 player? Yes___ No___
The value of A is 114.
The value of B is 46.
The value of C is 64.
The value of D is 200.
Statistics
statistics, the science of collecting, analyzing, presenting, and interpreting data.
To find the value of A will be = Total for cell phone - No of Mp3 player
= 154 - 40
= 114
To find B = Mp3 Player + Non Mp3 Player
= 24 + 22
= 46
To find C = Mp3 Player with cellphone + Mp3 Player without cellphone
= 40 + 24
= 64
To find D = 136 + C
= 136 + 64
= 200
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can you please help me with Michelson Morley , methods or
procedure ,labeled tables that will allow me to draw the graph ,
also draw the graph for me.
answer all questions correctly step by step
The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.
Here is the procedure for the Michelson-Morley experiment:
1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.
2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.
3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.
4. Rotate the entire apparatus by 90 degrees and repeat the measurement.
5. Compare the interference patterns from the two orientations.
If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.
However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.
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What is the formula for the area of a circle?
O A. A = 727
O B. A = 20
O C. A = terd
O D. A = 2
a man bought 250 electric lanterns in the united States of America for $5000. he sold them them in lagos at 1,920 naira each. at the time of his journey back to USA, the exchange rate was #96 to dollar
1. if selling at the lanterns at 1920 naira each, he made a profit of 20% cal the exchange rate the time he bought the lantern
2. how much in dollar will the sales amount to the of his journey back to USA
Answer: 4166.67$
Step-by-step explanation:
1920 x 250 = amount
Amount = 120%
Cost price = 100%
1920 x 250= 120%
Cost price = 100%
Cross multiply and divide both side by 120
1920 x 250 x 100/120 = price
Exchange rate = cost in #/cost in $
= (1920 x 250 x 5/6)/(5000)
= (96 x 5/6) = 16 x 5= 80
Exchange rate then was 80 to 1$
The sales will be 400000/96 = 4166.67$
Answer:
1. $1:#80
2.$5000
Step-by-step explanation:
ok... lots of moving parts here ....
$5000 / 250 = $20 per lantern.
~~~~~~~~~~~~~~~~~~
x (1 + .2) = 1920
x = 1600
~~~~~~~~~~~~~~
$5000 : (1600*250)
$5,000:#400,000
c
~~~~~~~~~~~
sales back to the us at $1:#96
1920*250 = 480000
#480000/#96=$5000
What is the product of 3x(x2 + 4)?
x2 + 3x + 4
3x3 + 4
3x3 + 12x
3x2 + 12x
answer is c 3x3 + 12x
p = mv Which equation shows the formula correctly solved for v? O A. V=p-m B. v=pm O C. v= m р O D. V ora
Answer:
v=p/m
Step-by-step explanation:
Divide poth side by m
So the answer will be v=p/m
a- What are the different logs used to obtain porosity? Explain the principles of measurement, quantity measured and its relation to porosity. Illustrate with equations and/or sketches.
Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.
The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.
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Use the function, f(x)=\sqrt(x). Reflect the function over the x-axis and move the function down by 5 units.
The function f(x) = √x, when reflected over the x-axis and moved down by 5 units, is represented by the equation h(x) = -√x - 5.
To reflect the function f(x)=\sqrt(x) over the x-axis, we need to negate the function. Thus, the new function becomes f(x)=-\sqrt(x). To move the function down by 5 units, we need to subtract 5 from the function.
Therefore, the final transformed function is g(x)=-\sqrt(x)-5.
In this transformed function, for any value of x, we first take the square root of x, then negate it, and finally subtract 5 from it. This transformation results in a reflection of the original function over the x-axis and a downward shift of 5 units.
In summary, to reflect a function over the x-axis and move it down by k units, we need to negate the function and subtract k from it.
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I need help on this question
The sum of two negative integers is always... *
10 points
Positive
Negative
Zero
The perimeter of a rectangle is 56 feet. What are the dimensions of the rectangle with maximum area?
Answer:
the perimeter of a rectangle is 56 yards. what are the dimensions of the rectangle with maximum area?
***
let x=length
let y=width
2x+2y=56
x+y=28
y=28-x
Area=xy=x(28-x)=28x-x^2
Area=-x^2+28x
complete the square:
Area=-(x^2-28x+196)+196
=-(x-14)^2+196
This is an equation of a parabola that opens downward with vertex at (14,196), which means maximum area of 196 occurs when x, the length=14)
dimensions of the rectangle with maximum area? 14 yds by 14 yds, a square.
Answer:
14 by 14 ft
Step-by-step explanation:
perimeter: 4(14) = 56 ft
area: 14(14) = 196 ft ^2
Susan wrote the following statements:
Statement 1: If two angles form a linear pair, then they are supplementary angles.
Statement 2: If two lines intersect in one point, then exactly one plane contains both lines.
Which geometry term does each statement represent? (4 points)
Statement 1: theorem; Statement 2: postulate
Statement 1: definition; Statement 2: postulate
Statement 1: theorem; Statement 2: definition.
Statement 1: postulate; Statement 2: theorem
The geometry term that each statement represent is option D. Statement 1: postulate; Statement 2: theorem
What is a statement?A statement serves as a declarative sentence which can be true or false and it is been referred to as proposition.
A statement can be seen as to be correct when there is approved mathematical arguments and operations hence, statement 1 is a theorem and statement 2 is a postulate.
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7/6 simplified do not need explanation
Answer: 1 1/6
Step-by-step explanation:hope this helps !
Answer:
it would be
1 1/6
Step-by-step explanation:
The first term in an arithmetic sequence is 5. The third term in the sequence is -1. The tenth term in the sequence is -22.
Which function can be used to find the nth term of the arithmetic sequence?
A.
An = -3n + 8
B.
An = n + 4
C.
An = 0.5(n+5) +2
D.
An = -n
Answer:
A. aₙ = -3n + 8Step-by-step explanation:
You just simply check, the terms:
A.
\(a_1=-3(1)+8=-3+8=5\\a_3=-3(3)+8=-9+8=-1\\a_{10}=-3(10)+8=-30+8=-22\) YES
B.
\(a_1=1+4=5\\a_3=3+4=7\ne-1\) NOT
C.
\(a_1=0.5(1+5)+2=0.5(6)+2=3+2=5\\a_3=0.5(3+5)+2=0.5(8)+2=4+2=6\ne-1\) NOT
D.
\(a_1=-1\) NOT
Terry’s age is 3 less than three times Cody’s age. The sum of their ages is 57. How
old are Terry and Cody?
Answer:
let Cedric's age be c
tyshon= 3c-3
3c-3 +c =3c+c-3 = 4c-3
4c-3=57
4c=60
c=15
tyshon=15×3-3 = 42
Answer:
16
Step-by-step explanation:
57dvied by 3 -3=16
(3 m^6 n^2)^3 * 2mn^4
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
Answer:
your mom
1234567891011
Choose the correct value of x AND the correct value of y from the choices below.
y
45°
16
x = 8/3
x = 8
y=8V2
y=8V3
y = 8
x = 82
Answer:
x = \(\frac{16}{\sqrt{2} }\) and y = \(\frac{16}{\sqrt{2} }\)
Step-by-step explanation:
Applying the trigonometric functions to the given triangle;
i. To determine the value of x;
Sin θ = \(\frac{opposite}{hypotenuse}\)
Sin 45 = \(\frac{x}{16}\)
x = 16 * Sin 45
= 16 * \(\frac{1}{\sqrt{2} }\)
x = \(\frac{16}{\sqrt{2} }\)
ii. To determine the value of y;
Cos θ = \(\frac{adjacent}{hypotenuse}\)
Cos 45 = \(\frac{y}{16}\)
y = 16 * Cos 45
= 16 * \(\frac{1}{\sqrt{2} }\)
y = \(\frac{16}{\sqrt{2} }\)
Thus, x = \(\frac{16}{\sqrt{2} }\) and y = \(\frac{16}{\sqrt{2} }\)
-4 1/2 + 3 1/4 What is the sum and where would it be plotted on the number line
Answer:
it will be plotted in between -1 and -2. (if you would've shown a number line, i could've helped more)
Step-by-step explanation:
4 1/2 - 3 1/4=1 1/4
then make it negative again and you get -1 1/4
(write NONE if there is no Mode) b. (1 point) What are the shortest and tallest height values? Shertest: 2722 Fallest c. ( 1 point) What is the range of the data? 2069 d. (2 point) What is the standard deviation of the height data? (you may use your calculator, an online calculator or Excel to compute this calculation. Space is provided in case you are calculating by hand. Tell me how you calculate it on your calculator or other device if you do not do it by hand. Screen shots of work on the computer will be considered showing work as well.) Answer the following questions. We will assume that the birth weight data from the Data Assignment is a normal distribution so that we may use z− scores. a. (1 point) What was YOUR birth weight in grams? 3232 b. ( 1 point) Use YOUR measurement to compute the z-score for your birth weight. Find the z-score to one decimal place.
b. The tallest height value is not specified.
c. The range of the data is 2069.
b. To calculate the z-score for your birth weight, I would need your birth weight, as well as the mean and standard deviation of the birth weight data.
b. The shortest height value is 2722 and the tallest height value is NONE.
The shortest height value in the data set is 2722, but there is no record of the tallest height value.
c. The range of the data is 2069.
To calculate the range of the data, subtract the smallest value (2722) from the largest value (4783). In this case, the range is 4783 - 2722 = 2069.
d. To find the standard deviation of the height data, I need the complete dataset. If you provide me with the dataset, I can calculate it for you using statistical software or Excel. The standard deviation measures the amount of variation or dispersion in a dataset. It is commonly calculated using formulas that involve the mean and individual data points.
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At Fireflies Kids Camp, 4 out of the 10 kids in the yellow cabin are taking swimming lessons. In the blue cabin, 5 out of the 15 kids are taking swimming lessons. Do both cabins have the same ratio of swimmers to total kids?
Answer:
Both cabins do not have the same ratio of swimmers to total kids.
Step-by-step explanation:
The ratio of swimmers to total kids in the yellow cabin is:
4 : 10
The ratio of swimmers to total kids in the blue cabin is:
5 : 15
4 : 10 and 5 : 15 are not equivalent ratios because:
LCM of 10 and 15 is 30
Multiply each term in a ratio by a number so that the second term is 30:
4 x 3 = 12
10 x 3 = 30
4 : 10 = 12 : 30
5 x 2 = 10
15 x 2 = 30
5 : 15 = 10 : 30
12 : 30 and 10 : 30 are NOT the same ratios.
Hope this helps!
Nick just received his test back. He scored a 24 out of a possible 60 points. His teacher told him the mean score on the test was a 35, with a standard deviation of 6. What is nick's z-score?
Nick's z -score is -1.833.
According to the given question.
Total points scored by Nick, x = 24
Mean score for the test was, μ = 35
Standard deviation, σ = 6
As, we know that z-score can be caluated by using the formula
z = (x - μ)/σ
Where, x is a score
μ is mean score
σ is standard deviation
z is z-score
Therefore, Nick's z-score is given by
z = (24 - 35)/6
z = -1.833
ence, Nick's z -score is -1.833.
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A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.
1. What is the alternate hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
2. What is the null hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday are like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance).
What is your conclusion about the bags based on this result? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
Answer:
1. B. The bag of candy produced last Monday is different from the standard bag.
2. A. The bag of candy produced last Monday are like the standard bag.
3. B. The bag of candy produced last Monday is different from the standard bag.
Step-by-step explanation:
Given - A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.
To find - 1. What is the alternate hypothesis for this exercise?
2. What is the null hypothesis for this exercise?
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance). What is your conclusion about the bags based on this result?
Proof -
1.
The alternate hypothesis is - B. The bag of candy produced last Monday is different from the standard bag.
2.
The null hypothesis is - A. The bag of candy produced last Monday are like the standard bag.
3.
The conclusion is - B. The bag of candy produced last Monday is different from the standard bag.
sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. on Sunday, sam hopes to make at least $150 painting rooms and can work for exactly 10 hours. which of the following sets represents the range of money (m) that Sam can make without violating either his monetary or time restriction?
The range of money (m) that Sam can make without violating either his monetary or time restriction is $150 ≤ m ≤ $250.
Let's start by figuring out how many rooms Sam can paint in 10 hours. Since it takes him 2 hours to paint one room, he can paint 5 rooms in 10 hours.
Now we need to find the minimum amount of money Sam can make while painting 5 rooms. At $50 per room, he would make $250 for painting all 5 rooms. However, he only needs to make at least $150. So he can paint fewer rooms and still meet his monetary goal.
To find the range of money he can make, we need to consider the minimum and maximum number of rooms he can paint in 10 hours.
The minimum number of rooms he can paint is 3 (since painting 2 rooms would take 4 hours and he only has 10 hours to work). This would earn him $150.
The maximum number of rooms he can paint is 5, which would earn him $250.
Therefore, the range of money (m) that Sam can make without violating either his monetary or time restriction is $150 ≤ m ≤ $250.
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Please help ASAP!!!!
Answer:
zoom in on pic plz and reupload
Step-by-step explanation: